%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG062+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 02:38:37 PM UTC 2026
% Result : Theorem 79.71s 24.53s
% Output : CNFRefutation 175.87s
% 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/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f137,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f141,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f80]) ).
fof(f142,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f143,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f144,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f150,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(f151,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f152,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(f153,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(f154,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(f155,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(f156,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f211,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f215,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f216,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f217,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f220,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f221,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f222,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f223,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(f224,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(f225,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,[],[f137]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_59,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f141]) ).
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,[],[f152]) ).
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,[],[f151]) ).
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,[],[f150]) ).
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,[],[f149]) ).
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,[],[f154]) ).
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,[],[f153]) ).
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,[],[f155]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_129,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f211]) ).
tcf(c_133,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f215]) ).
tcf(c_135,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f217]) ).
tcf(c_136,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f216]) ).
tcf(c_139,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f222]) ).
tcf(c_140,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f221]) ).
tcf(c_141,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f220]) ).
tcf(c_142,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,[],[f223]) ).
tcf(c_143,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,[],[f224]) ).
tcf(c_144,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,[],[f225]) ).
tcf(c_147,plain,
( aScalar0(smndt0(sz0z00))
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_152,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_160,plain,
( aScalar0(sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_193,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_67,c_56,c_152]) ).
tcf(c_1161,plain,
smndt0(sz0z00) = sz0z00,
inference(subtyping,[status(esa)],[c_193]) ).
tcf(c_1162,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_144]) ).
tcf(c_1163,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_143]) ).
tcf(c_1164,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_142]) ).
tcf(c_1165,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(subtyping,[status(esa)],[c_141]) ).
tcf(c_1166,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(subtyping,[status(esa)],[c_140]) ).
tcf(c_1167,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(subtyping,[status(esa)],[c_139]) ).
tcf(c_1170,plain,
sdtasdt0(xR,xS) = xN,
inference(subtyping,[status(esa)],[c_136]) ).
tcf(c_1171,plain,
aScalar0(xN),
inference(subtyping,[status(esa)],[c_135]) ).
tcf(c_1173,plain,
aScalar0(xS),
inference(subtyping,[status(esa)],[c_133]) ).
tcf(c_1177,plain,
aScalar0(xR),
inference(subtyping,[status(esa)],[c_129]) ).
tcf(c_1228,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_1229,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_1230,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_1231,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_1232,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_1233,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_1234,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_1235,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_1236,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_1237,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_1238,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_1239,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_1240,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_1245,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_1246,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_1247,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_1255,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_1236]) ).
tcf(c_1256,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_1236]) ).
tcf(c_1257,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1236]) ).
tcf(c_1258,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_1234]) ).
tcf(c_1259,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1234]) ).
tcf(c_1320,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1255]) ).
tcf(c_1325,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_1256,c_56,c_1320,c_1256,c_1257]) ).
tcf(c_1326,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_1325]) ).
tcf(c_1330,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_1258,c_56,c_1320,c_1258,c_1259]) ).
tcf(c_1331,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_1330]) ).
tcf(c_2424,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_1177,c_1238]) ).
tcf(c_2425,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_1173,c_1238]) ).
tcf(c_2426,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_1171,c_1238]) ).
tcf(c_2427,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_1245,c_1238]) ).
tcf(c_2429,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_1177,c_1239]) ).
tcf(c_2430,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_1173,c_1239]) ).
tcf(c_2431,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_1171,c_1239]) ).
tcf(c_2432,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_1245,c_1239]) ).
tcf(c_2437,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_1177,c_1240]) ).
tcf(c_2438,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_1173,c_1240]) ).
tcf(c_2439,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_1171,c_1240]) ).
tcf(c_2440,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_1245,c_1240]) ).
tcf(c_2443,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_1167,c_1246]) ).
tcf(c_2445,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_1165,c_1246]) ).
tcf(c_2446,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_1246,c_1240]) ).
tcf(c_2447,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_1246,c_1239]) ).
tcf(c_2448,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_1246,c_1238]) ).
tcf(c_2452,plain,
( ( sdtpldt0(sdtasdt0(xS,xS),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_1240]) ).
tcf(c_2453,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_1239]) ).
tcf(c_2454,plain,
( ( smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_1238]) ).
tcf(c_2460,plain,
( aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_2437,c_1247]) ).
tcf(c_2461,plain,
( aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2438,c_1247]) ).
tcf(c_2462,plain,
( aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_2439,c_1247]) ).
tcf(c_2463,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_1247,c_1240]) ).
tcf(c_2464,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_1247,c_1239]) ).
tcf(c_2465,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_1247,c_1238]) ).
tcf(c_2483,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_1177,c_1228]) ).
tcf(c_2484,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_1173,c_1228]) ).
tcf(c_2485,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_1171,c_1228]) ).
tcf(c_2486,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_1245,c_1228]) ).
tcf(c_2487,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_1246,c_1228]) ).
tcf(c_2488,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_1247,c_1228]) ).
tcf(c_2489,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_2445,c_1228]) ).
tcf(c_2510,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_1177,c_1229]) ).
tcf(c_2511,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_1173,c_1229]) ).
tcf(c_2512,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_1171,c_1229]) ).
tcf(c_2513,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_1245,c_1229]) ).
tcf(c_2514,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_1246,c_1229]) ).
tcf(c_2515,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_1247,c_1229]) ).
tcf(c_2516,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_2445,c_1229]) ).
tcf(c_2525,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(xS) ),
inference(instantiation,[status(thm)],[c_1245]) ).
tcf(c_2531,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_1177,c_1230]) ).
tcf(c_2532,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_1173,c_1230]) ).
tcf(c_2533,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_1171,c_1230]) ).
tcf(c_2534,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_1245,c_1230]) ).
tcf(c_2535,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_1246,c_1230]) ).
tcf(c_2536,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_1247,c_1230]) ).
tcf(c_2537,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_2445,c_1230]) ).
tcf(c_2576,plain,
aScalar0(sz0z00),
inference(global_subsumption_just,[status(thm)],[c_2460,c_56]) ).
tcf(c_2578,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_2576,c_1230]) ).
tcf(c_2579,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_2576,c_1229]) ).
tcf(c_2580,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_2576,c_1228]) ).
tcf(c_2581,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_2576,c_1240]) ).
tcf(c_2582,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2576,c_1239]) ).
tcf(c_2583,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_2576,c_1238]) ).
tcf(c_2599,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_1161,c_2581]) ).
tcf(c_2608,plain,
aScalar0(smndt0(xN)),
inference(global_subsumption_just,[status(thm)],[c_2443,c_133,c_129,c_2443,c_2525]) ).
tcf(c_2610,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_2608,c_1230]) ).
tcf(c_2611,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_2608,c_1229]) ).
tcf(c_2612,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_2608,c_1228]) ).
tcf(c_2613,plain,
sdtpldt0(smndt0(xN),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_2608,c_1240]) ).
tcf(c_2614,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_2608,c_1239]) ).
tcf(c_2615,plain,
smndt0(smndt0(smndt0(xN))) = smndt0(xN),
inference(superposition,[status(thm)],[c_2608,c_1238]) ).
tcf(c_2636,plain,
smndt0(smndt0(smndt0(sz0z00))) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2427]) ).
tcf(c_2637,plain,
smndt0(smndt0(smndt0(xR))) = smndt0(xR),
inference(superposition,[status(thm)],[c_1177,c_2427]) ).
tcf(c_2638,plain,
smndt0(smndt0(smndt0(xS))) = smndt0(xS),
inference(superposition,[status(thm)],[c_1173,c_2427]) ).
tcf(c_2640,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_1245,c_2427]) ).
tcf(c_2641,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_1246,c_2427]) ).
tcf(c_2642,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_1247,c_2427]) ).
tcf(c_2643,plain,
smndt0(smndt0(smndt0(smndt0(xN)))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2427]) ).
tcf(c_2644,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2427]) ).
tcf(c_2676,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_2576,c_1235]) ).
tcf(c_2677,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_1177,c_1235]) ).
tcf(c_2678,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_1173,c_1235]) ).
tcf(c_2679,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_1171,c_1235]) ).
tcf(c_2680,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_1245,c_1235]) ).
tcf(c_2681,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_1246,c_1235]) ).
tcf(c_2682,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_1247,c_1235]) ).
tcf(c_2683,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_2608,c_1235]) ).
tcf(c_2684,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_2445,c_1235]) ).
tcf(c_2693,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_2576,c_1237]) ).
tcf(c_2694,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_1177,c_1237]) ).
tcf(c_2695,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_1173,c_1237]) ).
tcf(c_2696,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_1171,c_1237]) ).
tcf(c_2697,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_1245,c_1237]) ).
tcf(c_2698,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_1246,c_1237]) ).
tcf(c_2699,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_1247,c_1237]) ).
tcf(c_2700,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_2608,c_1237]) ).
tcf(c_2701,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_2445,c_1237]) ).
tcf(c_2729,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_2576,c_1232]) ).
tcf(c_2730,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_1177,c_1232]) ).
tcf(c_2731,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_1173,c_1232]) ).
tcf(c_2732,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_1171,c_1232]) ).
tcf(c_2733,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_1245,c_1232]) ).
tcf(c_2734,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_1246,c_1232]) ).
tcf(c_2735,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_1247,c_1232]) ).
tcf(c_2736,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_2608,c_1232]) ).
tcf(c_2737,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_2445,c_1232]) ).
tcf(c_2760,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_2576,c_1233]) ).
tcf(c_2761,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_1177,c_1233]) ).
tcf(c_2762,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_1173,c_1233]) ).
tcf(c_2763,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_1171,c_1233]) ).
tcf(c_2764,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_1245,c_1233]) ).
tcf(c_2765,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_1246,c_1233]) ).
tcf(c_2766,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_1247,c_1233]) ).
tcf(c_2767,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_2608,c_1233]) ).
tcf(c_2768,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_2445,c_1233]) ).
tcf(c_2859,plain,
( aScalar0(smndt0(sz0z00))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_2636,c_1245]) ).
tcf(c_2871,plain,
( aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_2637,c_1245]) ).
tcf(c_2872,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_2638,c_1245]) ).
tcf(c_2881,plain,
aScalar0(smndt0(sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_2859,c_56,c_147]) ).
tcf(c_2884,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_2881,c_1233]) ).
tcf(c_2885,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_2881,c_1232]) ).
tcf(c_2886,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_2881,c_1237]) ).
tcf(c_2887,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_2881,c_1235]) ).
tcf(c_2888,plain,
smndt0(smndt0(smndt0(smndt0(sz0z00)))) = smndt0(smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2427]) ).
tcf(c_2889,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_2881,c_1230]) ).
tcf(c_2890,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_2881,c_1229]) ).
tcf(c_2891,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_2881,c_1228]) ).
tcf(c_2892,plain,
sdtpldt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_2881,c_1240]) ).
tcf(c_2893,plain,
sdtpldt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_2881,c_1239]) ).
tcf(c_2932,plain,
( aScalar0(smndt0(xR))
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_2424,c_2871]) ).
tcf(c_2933,plain,
aScalar0(smndt0(xR)),
inference(global_subsumption_just,[status(thm)],[c_2932,c_129,c_2932]) ).
tcf(c_2935,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_2933,c_1233]) ).
tcf(c_2936,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_2933,c_1232]) ).
tcf(c_2937,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_2933,c_1237]) ).
tcf(c_2938,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_2933,c_1235]) ).
tcf(c_2939,plain,
smndt0(smndt0(smndt0(smndt0(xR)))) = smndt0(smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2427]) ).
tcf(c_2940,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_2933,c_1230]) ).
tcf(c_2941,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_2933,c_1229]) ).
tcf(c_2942,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_2933,c_1228]) ).
tcf(c_2943,plain,
sdtpldt0(smndt0(xR),smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_2933,c_1240]) ).
tcf(c_2944,plain,
sdtpldt0(smndt0(smndt0(xR)),smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_2933,c_1239]) ).
tcf(c_2953,plain,
aScalar0(smndt0(xS)),
inference(global_subsumption_just,[status(thm)],[c_2872,c_133,c_2525]) ).
tcf(c_2955,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_2953,c_1233]) ).
tcf(c_2956,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_2953,c_1232]) ).
tcf(c_2957,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_2953,c_1237]) ).
tcf(c_2958,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_2953,c_1235]) ).
tcf(c_2959,plain,
smndt0(smndt0(smndt0(smndt0(xS)))) = smndt0(smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2427]) ).
tcf(c_2960,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_2953,c_1230]) ).
tcf(c_2961,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_2953,c_1229]) ).
tcf(c_2962,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_2953,c_1228]) ).
tcf(c_2963,plain,
sdtpldt0(smndt0(xS),smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_2953,c_1240]) ).
tcf(c_2964,plain,
sdtpldt0(smndt0(smndt0(xS)),smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_2953,c_1239]) ).
tcf(c_3007,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_1163,c_1247]) ).
tcf(c_3008,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_1164,c_1247]) ).
tcf(c_3009,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_2576,c_1231]) ).
tcf(c_3010,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_1177,c_1231]) ).
tcf(c_3011,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_1173,c_1231]) ).
tcf(c_3012,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_1171,c_1231]) ).
tcf(c_3013,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_2881,c_1231]) ).
tcf(c_3014,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_1245,c_1231]) ).
tcf(c_3015,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_1246,c_1231]) ).
tcf(c_3016,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_1247,c_1231]) ).
tcf(c_3017,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_2933,c_1231]) ).
tcf(c_3018,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_2953,c_1231]) ).
tcf(c_3019,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_2608,c_1231]) ).
tcf(c_3020,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_2445,c_1231]) ).
tcf(c_3095,plain,
( aScalar0(smndt0(smndt0(xN)))
| ~ aScalar0(smndt0(smndt0(smndt0(xN)))) ),
inference(superposition,[status(thm)],[c_2643,c_1245]) ).
tcf(c_3096,plain,
( aScalar0(smndt0(smndt0(sz0z00)))
| ~ aScalar0(smndt0(smndt0(smndt0(sz0z00)))) ),
inference(superposition,[status(thm)],[c_2888,c_1245]) ).
tcf(c_3097,plain,
( aScalar0(smndt0(smndt0(xR)))
| ~ aScalar0(smndt0(smndt0(smndt0(xR)))) ),
inference(superposition,[status(thm)],[c_2939,c_1245]) ).
tcf(c_3098,plain,
( aScalar0(smndt0(smndt0(xS)))
| ~ aScalar0(smndt0(smndt0(smndt0(xS)))) ),
inference(superposition,[status(thm)],[c_2959,c_1245]) ).
tcf(c_3100,plain,
( aScalar0(smndt0(smndt0(xN)))
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_2615,c_3095]) ).
tcf(c_3102,plain,
aScalar0(smndt0(smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_3100,c_133,c_129,c_2443,c_2525,c_3100]) ).
tcf(c_3105,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_3102,c_1231]) ).
tcf(c_3106,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_3102,c_1233]) ).
tcf(c_3107,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_3102,c_1232]) ).
tcf(c_3108,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_3102,c_1237]) ).
tcf(c_3109,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_3102,c_1235]) ).
tcf(c_3110,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2427]) ).
tcf(c_3111,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_3102,c_1230]) ).
tcf(c_3112,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_3102,c_1229]) ).
tcf(c_3113,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_3102,c_1228]) ).
tcf(c_3114,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3102,c_1240]) ).
tcf(c_3115,plain,
sdtpldt0(smndt0(smndt0(smndt0(xN))),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3102,c_1239]) ).
tcf(c_3156,plain,
( aScalar0(smndt0(smndt0(sz0z00)))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_2636,c_3096]) ).
tcf(c_3158,plain,
( aScalar0(smndt0(smndt0(sz0z00)))
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_1161,c_3096]) ).
tcf(c_3159,plain,
aScalar0(smndt0(smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_3158,c_56,c_3158]) ).
tcf(c_3163,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_3159,c_1231]) ).
tcf(c_3164,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_3159,c_1233]) ).
tcf(c_3165,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_3159,c_1232]) ).
tcf(c_3166,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_3159,c_1237]) ).
tcf(c_3167,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_3159,c_1235]) ).
tcf(c_3168,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2427]) ).
tcf(c_3169,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_3159,c_1230]) ).
tcf(c_3170,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_3159,c_1229]) ).
tcf(c_3171,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_3159,c_1228]) ).
tcf(c_3172,plain,
sdtpldt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_3159,c_1240]) ).
tcf(c_3173,plain,
sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_3159,c_1239]) ).
tcf(c_3214,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(xR) ),
inference(instantiation,[status(thm)],[c_1246]) ).
tcf(c_3241,plain,
( aScalar0(smndt0(smndt0(xR)))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_2637,c_3097]) ).
tcf(c_3243,plain,
aScalar0(smndt0(smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_3241,c_129,c_2932,c_3241]) ).
tcf(c_3246,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_3243,c_1231]) ).
tcf(c_3247,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_3243,c_1233]) ).
tcf(c_3248,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_3243,c_1232]) ).
tcf(c_3249,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_3243,c_1237]) ).
tcf(c_3250,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_3243,c_1235]) ).
tcf(c_3251,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2427]) ).
tcf(c_3252,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_3243,c_1230]) ).
tcf(c_3253,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_3243,c_1229]) ).
tcf(c_3254,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_3243,c_1228]) ).
tcf(c_3255,plain,
sdtpldt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_3243,c_1240]) ).
tcf(c_3256,plain,
sdtpldt0(smndt0(smndt0(smndt0(xR))),smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_3243,c_1239]) ).
tcf(c_3303,plain,
( aScalar0(smndt0(smndt0(xS)))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2638,c_3098]) ).
tcf(c_3325,plain,
aScalar0(smndt0(smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_3303,c_133,c_2525,c_3303]) ).
tcf(c_3328,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_3325,c_1231]) ).
tcf(c_3329,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_3325,c_1233]) ).
tcf(c_3330,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_3325,c_1232]) ).
tcf(c_3331,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_3325,c_1237]) ).
tcf(c_3332,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_3325,c_1235]) ).
tcf(c_3333,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2427]) ).
tcf(c_3334,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_3325,c_1230]) ).
tcf(c_3335,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_3325,c_1229]) ).
tcf(c_3336,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_3325,c_1228]) ).
tcf(c_3337,plain,
sdtpldt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_3325,c_1240]) ).
tcf(c_3338,plain,
sdtpldt0(smndt0(smndt0(smndt0(xS))),smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_3325,c_1239]) ).
tcf(c_3429,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_1245,c_2432]) ).
tcf(c_3430,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_1246,c_2432]) ).
tcf(c_3431,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_1247,c_2432]) ).
tcf(c_3435,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2432]) ).
tcf(c_3436,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xN)))),smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3102,c_2432]) ).
tcf(c_3437,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))),smndt0(smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_3159,c_2432]) ).
tcf(c_3438,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xR)))),smndt0(smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_3243,c_2432]) ).
tcf(c_3439,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xS)))),smndt0(smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_3325,c_2432]) ).
tcf(c_3468,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_1245,c_2440]) ).
tcf(c_3469,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_1246,c_2440]) ).
tcf(c_3470,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_1247,c_2440]) ).
tcf(c_3474,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2440]) ).
tcf(c_3475,plain,
sdtpldt0(smndt0(smndt0(smndt0(xN))),smndt0(smndt0(smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_3102,c_2440]) ).
tcf(c_3476,plain,
sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_3159,c_2440]) ).
tcf(c_3477,plain,
sdtpldt0(smndt0(smndt0(smndt0(xR))),smndt0(smndt0(smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_3243,c_2440]) ).
tcf(c_3478,plain,
sdtpldt0(smndt0(smndt0(smndt0(xS))),smndt0(smndt0(smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_3325,c_2440]) ).
tcf(c_3504,plain,
( aScalar0(smndt0(smndt0(smndt0(xN))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(xN))))) ),
inference(superposition,[status(thm)],[c_3110,c_1245]) ).
tcf(c_3505,plain,
( aScalar0(smndt0(smndt0(smndt0(sz0z00))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(sz0z00))))) ),
inference(superposition,[status(thm)],[c_3168,c_1245]) ).
tcf(c_3512,plain,
( aScalar0(smndt0(smndt0(smndt0(xR))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(xR))))) ),
inference(superposition,[status(thm)],[c_3251,c_1245]) ).
tcf(c_3513,plain,
( aScalar0(smndt0(smndt0(smndt0(xS))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(xS))))) ),
inference(superposition,[status(thm)],[c_3333,c_1245]) ).
tcf(c_3533,plain,
( aScalar0(smndt0(smndt0(smndt0(xN))))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_2643,c_3504]) ).
tcf(c_3535,plain,
( aScalar0(smndt0(smndt0(smndt0(xN))))
| ~ aScalar0(xN) ),
inference(superposition,[status(thm)],[c_2426,c_3504]) ).
tcf(c_3558,plain,
( aScalar0(smndt0(smndt0(smndt0(sz0z00))))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_2888,c_3505]) ).
tcf(c_3560,plain,
( aScalar0(smndt0(smndt0(smndt0(sz0z00))))
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2583,c_3505]) ).
tcf(c_3563,plain,
( aScalar0(smndt0(smndt0(smndt0(xR))))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_2939,c_3512]) ).
tcf(c_3565,plain,
( aScalar0(smndt0(smndt0(smndt0(xR))))
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_2424,c_3512]) ).
tcf(c_3567,plain,
( aScalar0(smndt0(smndt0(smndt0(xS))))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_2959,c_3513]) ).
tcf(c_3569,plain,
( aScalar0(smndt0(smndt0(smndt0(xS))))
| ~ aScalar0(xS) ),
inference(superposition,[status(thm)],[c_2425,c_3513]) ).
tcf(c_3570,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2483]) ).
tcf(c_3571,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_1177,c_2483]) ).
tcf(c_3572,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_1173,c_2483]) ).
tcf(c_3573,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_1171,c_2483]) ).
tcf(c_3574,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2483]) ).
tcf(c_3575,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_1245,c_2483]) ).
tcf(c_3576,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_1246,c_2483]) ).
tcf(c_3577,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_1247,c_2483]) ).
tcf(c_3578,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xR))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2483]) ).
tcf(c_3579,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xS))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2483]) ).
tcf(c_3580,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xN))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2483]) ).
tcf(c_3581,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xR,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2483]) ).
tcf(c_3582,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2483]) ).
tcf(c_3583,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(xR,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2483]) ).
tcf(c_3584,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2483]) ).
tcf(c_3585,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2483]) ).
tcf(c_3664,plain,
aScalar0(smndt0(smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_3535,c_135,c_3535]) ).
tcf(c_3668,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2483]) ).
tcf(c_3669,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xN)))),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3664,c_2440]) ).
tcf(c_3670,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_3664,c_2432]) ).
tcf(c_3671,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_3664,c_1231]) ).
tcf(c_3672,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_3664,c_1233]) ).
tcf(c_3673,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_3664,c_1232]) ).
tcf(c_3674,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_3664,c_1237]) ).
tcf(c_3675,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_3664,c_1235]) ).
tcf(c_3676,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = smndt0(smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2427]) ).
tcf(c_3677,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_3664,c_1230]) ).
tcf(c_3678,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_3664,c_1229]) ).
tcf(c_3679,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_3664,c_1228]) ).
tcf(c_3731,plain,
aScalar0(smndt0(smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_3560,c_56,c_3560]) ).
tcf(c_3736,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2483]) ).
tcf(c_3737,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3731,c_2440]) ).
tcf(c_3738,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_3731,c_2432]) ).
tcf(c_3739,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_3731,c_1231]) ).
tcf(c_3740,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_3731,c_1233]) ).
tcf(c_3741,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_3731,c_1232]) ).
tcf(c_3742,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_3731,c_1237]) ).
tcf(c_3743,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_3731,c_1235]) ).
tcf(c_3744,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = smndt0(smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2427]) ).
tcf(c_3745,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_3731,c_1230]) ).
tcf(c_3746,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_3731,c_1229]) ).
tcf(c_3747,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_3731,c_1228]) ).
tcf(c_3795,plain,
aScalar0(smndt0(smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_3565,c_129,c_3565]) ).
tcf(c_3799,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2483]) ).
tcf(c_3800,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xR)))),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3795,c_2440]) ).
tcf(c_3801,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_3795,c_2432]) ).
tcf(c_3802,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_3795,c_1231]) ).
tcf(c_3803,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_3795,c_1233]) ).
tcf(c_3804,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_3795,c_1232]) ).
tcf(c_3805,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_3795,c_1237]) ).
tcf(c_3806,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_3795,c_1235]) ).
tcf(c_3807,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = smndt0(smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2427]) ).
tcf(c_3808,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_3795,c_1230]) ).
tcf(c_3809,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_3795,c_1229]) ).
tcf(c_3810,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_3795,c_1228]) ).
tcf(c_3842,plain,
aScalar0(smndt0(smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_3569,c_133,c_3569]) ).
tcf(c_3846,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2483]) ).
tcf(c_3847,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xS)))),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3842,c_2440]) ).
tcf(c_3848,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_3842,c_2432]) ).
tcf(c_3849,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_3842,c_1231]) ).
tcf(c_3850,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_3842,c_1233]) ).
tcf(c_3851,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_3842,c_1232]) ).
tcf(c_3852,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_3842,c_1237]) ).
tcf(c_3853,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_3842,c_1235]) ).
tcf(c_3854,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = smndt0(smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2427]) ).
tcf(c_3855,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_3842,c_1230]) ).
tcf(c_3856,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_3842,c_1229]) ).
tcf(c_3857,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_3842,c_1228]) ).
tcf(c_3895,plain,
sdtasdt0(smndt0(xR),sz0z00) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_1161,c_3570]) ).
tcf(c_3896,plain,
( aScalar0(sdtasdt0(xR,sz0z00))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_3570,c_1246]) ).
tcf(c_3897,plain,
( aScalar0(sdtasdt0(xR,sz0z00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3895,c_1246]) ).
tcf(c_3898,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3571,c_1246]) ).
tcf(c_3911,plain,
aScalar0(sdtasdt0(xR,xR)),
inference(global_subsumption_just,[status(thm)],[c_3898,c_129,c_3214]) ).
tcf(c_3913,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xR,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2483]) ).
tcf(c_3914,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xR)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_3911,c_2440]) ).
tcf(c_3915,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xR))),smndt0(sdtasdt0(xR,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_3911,c_2432]) ).
tcf(c_3916,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_3911,c_1231]) ).
tcf(c_3917,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_3911,c_1233]) ).
tcf(c_3918,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_3911,c_1232]) ).
tcf(c_3919,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_3911,c_1237]) ).
tcf(c_3920,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_3911,c_1235]) ).
tcf(c_3921,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2427]) ).
tcf(c_3922,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_3911,c_1230]) ).
tcf(c_3923,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_3911,c_1229]) ).
tcf(c_3924,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_3911,c_1228]) ).
tcf(c_3925,plain,
sdtpldt0(sdtasdt0(xR,xR),smndt0(sdtasdt0(xR,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_3911,c_1240]) ).
tcf(c_3926,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xR)),sdtasdt0(xR,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_3911,c_1239]) ).
tcf(c_3927,plain,
smndt0(smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_3911,c_1238]) ).
tcf(c_3977,plain,
( aScalar0(sdtasdt0(xR,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3572,c_1246]) ).
tcf(c_3978,plain,
( aScalar0(sdtasdt0(xR,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3573,c_1246]) ).
tcf(c_4000,plain,
aScalar0(sdtasdt0(xR,sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_3897,c_129,c_56,c_147,c_2932,c_3896]) ).
tcf(c_4002,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xR,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2483]) ).
tcf(c_4003,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_4000,c_2440]) ).
tcf(c_4004,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_4000,c_2432]) ).
tcf(c_4005,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_4000,c_1231]) ).
tcf(c_4006,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_4000,c_1233]) ).
tcf(c_4007,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_4000,c_1232]) ).
tcf(c_4008,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_4000,c_1237]) ).
tcf(c_4009,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_4000,c_1235]) ).
tcf(c_4010,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2427]) ).
tcf(c_4011,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_4000,c_1230]) ).
tcf(c_4012,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_4000,c_1229]) ).
tcf(c_4013,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_4000,c_1228]) ).
tcf(c_4014,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_4000,c_1240]) ).
tcf(c_4015,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_4000,c_1239]) ).
tcf(c_4016,plain,
smndt0(smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_4000,c_1238]) ).
tcf(c_4038,plain,
sdtasdt0(smndt0(xR),sz0z00) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2583,c_3574]) ).
tcf(c_4040,plain,
( aScalar0(sdtasdt0(xR,smndt0(sz0z00)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_3574,c_1246]) ).
tcf(c_4042,plain,
( aScalar0(sdtasdt0(xR,smndt0(sz0z00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4038,c_1246]) ).
tcf(c_4043,plain,
sdtasdt0(xR,smndt0(sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_4038,c_3895]) ).
tcf(c_4064,plain,
sdtasdt0(smndt0(xR),xR) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_2424,c_3578]) ).
tcf(c_4065,plain,
( aScalar0(sdtasdt0(xR,smndt0(xR)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_3578,c_1246]) ).
tcf(c_4066,plain,
( aScalar0(sdtasdt0(xR,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4064,c_1246]) ).
tcf(c_4067,plain,
sdtasdt0(smndt0(xR),xS) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_2425,c_3579]) ).
tcf(c_4068,plain,
( aScalar0(sdtasdt0(xR,smndt0(xS)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_3579,c_1246]) ).
tcf(c_4069,plain,
( aScalar0(sdtasdt0(xR,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4067,c_1246]) ).
tcf(c_4072,plain,
aScalar0(sdtasdt0(xR,xS)),
inference(global_subsumption_just,[status(thm)],[c_3977,c_133,c_129,c_2525,c_2932,c_3977]) ).
tcf(c_4075,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2483]) ).
tcf(c_4076,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xS)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4072,c_2440]) ).
tcf(c_4077,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xS))),smndt0(sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4072,c_2432]) ).
tcf(c_4078,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_4072,c_1231]) ).
tcf(c_4079,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_4072,c_1233]) ).
tcf(c_4080,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_4072,c_1232]) ).
tcf(c_4081,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_4072,c_1237]) ).
tcf(c_4082,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_4072,c_1235]) ).
tcf(c_4083,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2427]) ).
tcf(c_4084,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_4072,c_1230]) ).
tcf(c_4085,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_4072,c_1229]) ).
tcf(c_4086,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_4072,c_1228]) ).
tcf(c_4087,plain,
sdtpldt0(sdtasdt0(xR,xS),smndt0(sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4072,c_1240]) ).
tcf(c_4088,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xS)),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_4072,c_1239]) ).
tcf(c_4089,plain,
smndt0(smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_4072,c_1238]) ).
tcf(c_4166,plain,
sdtasdt0(smndt0(xR),xN) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_2426,c_3580]) ).
tcf(c_4167,plain,
( aScalar0(sdtasdt0(xR,smndt0(xN)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_3580,c_1246]) ).
tcf(c_4168,plain,
( aScalar0(sdtasdt0(xR,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4166,c_1246]) ).
tcf(c_4169,plain,
( aScalar0(smndt0(sdtasdt0(xR,xR)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,xR)))) ),
inference(superposition,[status(thm)],[c_3921,c_1245]) ).
tcf(c_4170,plain,
aScalar0(sdtasdt0(xR,xN)),
inference(global_subsumption_just,[status(thm)],[c_3978,c_133,c_129,c_2443,c_2525,c_2932,c_3978]) ).
tcf(c_4172,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xR,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2483]) ).
tcf(c_4173,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xN)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4170,c_2440]) ).
tcf(c_4174,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xN))),smndt0(sdtasdt0(xR,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_4170,c_2432]) ).
tcf(c_4175,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_4170,c_1231]) ).
tcf(c_4176,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_4170,c_1233]) ).
tcf(c_4177,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_4170,c_1232]) ).
tcf(c_4178,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_4170,c_1237]) ).
tcf(c_4179,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_4170,c_1235]) ).
tcf(c_4180,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2427]) ).
tcf(c_4181,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_4170,c_1230]) ).
tcf(c_4182,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_4170,c_1229]) ).
tcf(c_4183,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_4170,c_1228]) ).
tcf(c_4184,plain,
sdtpldt0(sdtasdt0(xR,xN),smndt0(sdtasdt0(xR,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_4170,c_1240]) ).
tcf(c_4185,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xN)),sdtasdt0(xR,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_4170,c_1239]) ).
tcf(c_4186,plain,
smndt0(smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_4170,c_1238]) ).
tcf(c_4264,plain,
( aScalar0(smndt0(sdtasdt0(xR,sz0z00)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))) ),
inference(superposition,[status(thm)],[c_4010,c_1245]) ).
tcf(c_4265,plain,
aScalar0(sdtasdt0(xR,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_4042,c_129,c_56,c_2932,c_3158,c_4040]) ).
tcf(c_4269,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2483]) ).
tcf(c_4270,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4265,c_2440]) ).
tcf(c_4271,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_4265,c_2432]) ).
tcf(c_4272,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_4265,c_1231]) ).
tcf(c_4273,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_4265,c_1233]) ).
tcf(c_4274,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_4265,c_1232]) ).
tcf(c_4275,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_4265,c_1237]) ).
tcf(c_4276,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_4265,c_1235]) ).
tcf(c_4277,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2427]) ).
tcf(c_4278,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_4265,c_1230]) ).
tcf(c_4279,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_4265,c_1229]) ).
tcf(c_4280,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_4265,c_1228]) ).
tcf(c_4281,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_4265,c_1240]) ).
tcf(c_4282,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_4265,c_1239]) ).
tcf(c_4283,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_4265,c_1238]) ).
tcf(c_4340,plain,
aScalar0(sdtasdt0(xR,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_4066,c_129,c_2932,c_3241,c_4065]) ).
tcf(c_4342,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2483]) ).
tcf(c_4343,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xR))),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4340,c_2440]) ).
tcf(c_4344,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))),smndt0(sdtasdt0(xR,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_4340,c_2432]) ).
tcf(c_4345,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_4340,c_1231]) ).
tcf(c_4346,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_4340,c_1233]) ).
tcf(c_4347,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_4340,c_1232]) ).
tcf(c_4348,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_4340,c_1237]) ).
tcf(c_4349,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_4340,c_1235]) ).
tcf(c_4350,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2427]) ).
tcf(c_4351,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_4340,c_1230]) ).
tcf(c_4352,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_4340,c_1229]) ).
tcf(c_4353,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_4340,c_1228]) ).
tcf(c_4354,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_4340,c_1240]) ).
tcf(c_4355,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xR))),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_4340,c_1239]) ).
tcf(c_4356,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_4340,c_1238]) ).
tcf(c_4441,plain,
aScalar0(sdtasdt0(xR,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_4069,c_133,c_129,c_2525,c_2932,c_3303,c_4068]) ).
tcf(c_4444,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2483]) ).
tcf(c_4445,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xS))),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4441,c_2440]) ).
tcf(c_4446,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))),smndt0(sdtasdt0(xR,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4441,c_2432]) ).
tcf(c_4447,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_4441,c_1231]) ).
tcf(c_4448,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_4441,c_1233]) ).
tcf(c_4449,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_4441,c_1232]) ).
tcf(c_4450,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_4441,c_1237]) ).
tcf(c_4451,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_4441,c_1235]) ).
tcf(c_4452,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2427]) ).
tcf(c_4453,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_4441,c_1230]) ).
tcf(c_4454,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_4441,c_1229]) ).
tcf(c_4455,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_4441,c_1228]) ).
tcf(c_4456,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4441,c_1240]) ).
tcf(c_4457,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xS))),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4441,c_1239]) ).
tcf(c_4458,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_4441,c_1238]) ).
tcf(c_4538,plain,
aScalar0(sdtasdt0(xR,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_4168,c_133,c_129,c_2443,c_2525,c_2932,c_3100,c_4167]) ).
tcf(c_4540,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2483]) ).
tcf(c_4541,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xN))),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4538,c_2440]) ).
tcf(c_4542,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))),smndt0(sdtasdt0(xR,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4538,c_2432]) ).
tcf(c_4543,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_4538,c_1231]) ).
tcf(c_4544,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_4538,c_1233]) ).
tcf(c_4545,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_4538,c_1232]) ).
tcf(c_4546,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_4538,c_1237]) ).
tcf(c_4547,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_4538,c_1235]) ).
tcf(c_4548,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2427]) ).
tcf(c_4549,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_4538,c_1230]) ).
tcf(c_4550,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_4538,c_1229]) ).
tcf(c_4551,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_4538,c_1228]) ).
tcf(c_4552,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4538,c_1240]) ).
tcf(c_4553,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xN))),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_4538,c_1239]) ).
tcf(c_4554,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_4538,c_1238]) ).
tcf(c_4639,plain,
( aScalar0(smndt0(sdtasdt0(xR,xR)))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(superposition,[status(thm)],[c_3927,c_4169]) ).
tcf(c_4641,plain,
( aScalar0(smndt0(sdtasdt0(xR,sz0z00)))
| ~ aScalar0(sdtasdt0(xR,sz0z00)) ),
inference(superposition,[status(thm)],[c_4016,c_4264]) ).
tcf(c_4682,plain,
aScalar0(smndt0(sdtasdt0(xR,xR))),
inference(global_subsumption_just,[status(thm)],[c_4639,c_129,c_3214,c_4639]) ).
tcf(c_4684,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2483]) ).
tcf(c_4685,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xR))),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4682,c_2440]) ).
tcf(c_4686,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))),smndt0(smndt0(sdtasdt0(xR,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_4682,c_2432]) ).
tcf(c_4687,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_4682,c_1231]) ).
tcf(c_4688,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_4682,c_1233]) ).
tcf(c_4689,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_4682,c_1232]) ).
tcf(c_4690,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_4682,c_1237]) ).
tcf(c_4691,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_4682,c_1235]) ).
tcf(c_4692,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = smndt0(smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2427]) ).
tcf(c_4693,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_4682,c_1230]) ).
tcf(c_4694,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_4682,c_1229]) ).
tcf(c_4695,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_4682,c_1228]) ).
tcf(c_4795,plain,
aScalar0(smndt0(sdtasdt0(xR,sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_4641,c_129,c_56,c_147,c_2932,c_3896,c_4641]) ).
tcf(c_4797,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2483]) ).
tcf(c_4798,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4795,c_2440]) ).
tcf(c_4799,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_4795,c_2432]) ).
tcf(c_4800,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_4795,c_1231]) ).
tcf(c_4801,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_4795,c_1233]) ).
tcf(c_4802,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_4795,c_1232]) ).
tcf(c_4803,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_4795,c_1237]) ).
tcf(c_4804,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_4795,c_1235]) ).
tcf(c_4805,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = smndt0(smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2427]) ).
tcf(c_4806,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_4795,c_1230]) ).
tcf(c_4807,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_4795,c_1229]) ).
tcf(c_4808,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_4795,c_1228]) ).
tcf(c_4844,plain,
( aScalar0(smndt0(sdtasdt0(xR,xS)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,xS)))) ),
inference(superposition,[status(thm)],[c_4083,c_1245]) ).
tcf(c_4854,plain,
( aScalar0(smndt0(sdtasdt0(xR,xN)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,xN)))) ),
inference(superposition,[status(thm)],[c_4180,c_1245]) ).
tcf(c_4860,plain,
( aScalar0(smndt0(sdtasdt0(xR,xS)))
| ~ aScalar0(sdtasdt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4089,c_4844]) ).
tcf(c_4861,plain,
( aScalar0(smndt0(sdtasdt0(xR,xS)))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_1170,c_4844]) ).
tcf(c_4862,plain,
aScalar0(smndt0(sdtasdt0(xR,xS))),
inference(global_subsumption_just,[status(thm)],[c_4860,c_133,c_129,c_2443,c_2525,c_3100,c_4861]) ).
tcf(c_4865,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2483]) ).
tcf(c_4866,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xS))),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4862,c_2440]) ).
tcf(c_4867,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))),smndt0(smndt0(sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4862,c_2432]) ).
tcf(c_4868,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_4862,c_1231]) ).
tcf(c_4869,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_4862,c_1233]) ).
tcf(c_4870,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_4862,c_1232]) ).
tcf(c_4871,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_4862,c_1237]) ).
tcf(c_4872,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_4862,c_1235]) ).
tcf(c_4873,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = smndt0(smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2427]) ).
tcf(c_4874,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_4862,c_1230]) ).
tcf(c_4875,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_4862,c_1229]) ).
tcf(c_4876,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_4862,c_1228]) ).
tcf(c_4953,plain,
( aScalar0(smndt0(sdtasdt0(xR,xN)))
| ~ aScalar0(sdtasdt0(xR,xN)) ),
inference(superposition,[status(thm)],[c_4186,c_4854]) ).
tcf(c_4954,plain,
aScalar0(smndt0(sdtasdt0(xR,xN))),
inference(global_subsumption_just,[status(thm)],[c_4953,c_133,c_129,c_2443,c_2525,c_2932,c_3978,c_4953]) ).
tcf(c_4956,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2483]) ).
tcf(c_4957,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xN))),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4954,c_2440]) ).
tcf(c_4958,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))),smndt0(smndt0(sdtasdt0(xR,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4954,c_2432]) ).
tcf(c_4959,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_4954,c_1231]) ).
tcf(c_4960,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_4954,c_1233]) ).
tcf(c_4961,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_4954,c_1232]) ).
tcf(c_4962,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_4954,c_1237]) ).
tcf(c_4963,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_4954,c_1235]) ).
tcf(c_4964,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = smndt0(smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2427]) ).
tcf(c_4965,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_4954,c_1230]) ).
tcf(c_4966,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_4954,c_1229]) ).
tcf(c_4967,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_4954,c_1228]) ).
tcf(c_5013,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2484]) ).
tcf(c_5014,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_1177,c_2484]) ).
tcf(c_5016,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_1171,c_2484]) ).
tcf(c_5017,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2484]) ).
tcf(c_5018,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_1245,c_2484]) ).
tcf(c_5019,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_1246,c_2484]) ).
tcf(c_5020,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_1247,c_2484]) ).
tcf(c_5021,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xR))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2484]) ).
tcf(c_5022,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2484]) ).
tcf(c_5023,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xN))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2484]) ).
tcf(c_5024,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2484]) ).
tcf(c_5025,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2484]) ).
tcf(c_5026,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xS,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2484]) ).
tcf(c_5027,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(xS,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2484]) ).
tcf(c_5028,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2484]) ).
tcf(c_5029,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(xS,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2484]) ).
tcf(c_5030,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2484]) ).
tcf(c_5031,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2484]) ).
tcf(c_5032,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2484]) ).
tcf(c_5033,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2484]) ).
tcf(c_5034,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xS,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2484]) ).
tcf(c_5035,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xS,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2484]) ).
tcf(c_5036,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xS,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2484]) ).
tcf(c_5037,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2484]) ).
tcf(c_5038,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2484]) ).
tcf(c_5039,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2484]) ).
tcf(c_5040,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2484]) ).
tcf(c_5041,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2484]) ).
tcf(c_5042,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2484]) ).
tcf(c_5043,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2484]) ).
tcf(c_5044,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2484]) ).
tcf(c_5148,plain,
( aScalar0(sdtasdt0(xS,xR))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_5014,c_1246]) ).
tcf(c_5156,plain,
( aScalar0(sdtasdt0(xS,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5016,c_1246]) ).
tcf(c_5164,plain,
aScalar0(sdtasdt0(xS,xR)),
inference(global_subsumption_just,[status(thm)],[c_5148,c_133,c_129,c_2525,c_2932,c_5148]) ).
tcf(c_5166,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2484]) ).
tcf(c_5167,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2483]) ).
tcf(c_5168,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xR)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5164,c_2440]) ).
tcf(c_5169,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xR))),smndt0(sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_5164,c_2432]) ).
tcf(c_5170,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_5164,c_1231]) ).
tcf(c_5171,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_5164,c_1233]) ).
tcf(c_5172,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_5164,c_1232]) ).
tcf(c_5173,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_5164,c_1237]) ).
tcf(c_5174,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_5164,c_1235]) ).
tcf(c_5175,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2427]) ).
tcf(c_5176,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_5164,c_1230]) ).
tcf(c_5177,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_5164,c_1229]) ).
tcf(c_5178,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_5164,c_1228]) ).
tcf(c_5179,plain,
sdtpldt0(sdtasdt0(xS,xR),smndt0(sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_5164,c_1240]) ).
tcf(c_5180,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xR)),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_5164,c_1239]) ).
tcf(c_5181,plain,
smndt0(smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_5164,c_1238]) ).
tcf(c_5249,plain,
sdtasdt0(smndt0(xS),sz0z00) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_1161,c_5013]) ).
tcf(c_5250,plain,
( aScalar0(sdtasdt0(xS,sz0z00))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_5013,c_1246]) ).
tcf(c_5258,plain,
( aScalar0(sdtasdt0(xS,sz0z00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5249,c_1246]) ).
tcf(c_5304,plain,
aScalar0(sdtasdt0(xS,sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_5258,c_133,c_56,c_147,c_2525,c_5250]) ).
tcf(c_5306,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xS,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2484]) ).
tcf(c_5307,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xR,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2483]) ).
tcf(c_5308,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5304,c_2440]) ).
tcf(c_5309,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))),smndt0(sdtasdt0(xS,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5304,c_2432]) ).
tcf(c_5310,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_5304,c_1231]) ).
tcf(c_5311,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_5304,c_1233]) ).
tcf(c_5312,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_5304,c_1232]) ).
tcf(c_5313,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_5304,c_1237]) ).
tcf(c_5314,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_5304,c_1235]) ).
tcf(c_5315,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2427]) ).
tcf(c_5316,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_5304,c_1230]) ).
tcf(c_5317,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_5304,c_1229]) ).
tcf(c_5318,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_5304,c_1228]) ).
tcf(c_5319,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5304,c_1240]) ).
tcf(c_5320,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_5304,c_1239]) ).
tcf(c_5321,plain,
smndt0(smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5304,c_1238]) ).
tcf(c_5400,plain,
sdtasdt0(smndt0(xS),sz0z00) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2583,c_5017]) ).
tcf(c_5402,plain,
( aScalar0(sdtasdt0(xS,smndt0(sz0z00)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_5017,c_1246]) ).
tcf(c_5404,plain,
( aScalar0(sdtasdt0(xS,smndt0(sz0z00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5400,c_1246]) ).
tcf(c_5405,plain,
sdtasdt0(xS,smndt0(sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5400,c_5249]) ).
tcf(c_5407,plain,
aScalar0(sdtasdt0(xS,xN)),
inference(global_subsumption_just,[status(thm)],[c_5156,c_133,c_129,c_2443,c_2525,c_5156]) ).
tcf(c_5409,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xS,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2484]) ).
tcf(c_5410,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xR,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2483]) ).
tcf(c_5411,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xN)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_5407,c_2440]) ).
tcf(c_5412,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xN))),smndt0(sdtasdt0(xS,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_5407,c_2432]) ).
tcf(c_5413,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_5407,c_1231]) ).
tcf(c_5414,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_5407,c_1233]) ).
tcf(c_5415,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_5407,c_1232]) ).
tcf(c_5416,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_5407,c_1237]) ).
tcf(c_5417,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_5407,c_1235]) ).
tcf(c_5418,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2427]) ).
tcf(c_5419,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_5407,c_1230]) ).
tcf(c_5420,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_5407,c_1229]) ).
tcf(c_5421,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_5407,c_1228]) ).
tcf(c_5422,plain,
sdtpldt0(sdtasdt0(xS,xN),smndt0(sdtasdt0(xS,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_5407,c_1240]) ).
tcf(c_5423,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xN)),sdtasdt0(xS,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_5407,c_1239]) ).
tcf(c_5424,plain,
smndt0(smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_5407,c_1238]) ).
tcf(c_5460,plain,
sdtasdt0(smndt0(xS),xR) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_2424,c_5021]) ).
tcf(c_5461,plain,
( aScalar0(sdtasdt0(xS,smndt0(xR)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_5021,c_1246]) ).
tcf(c_5462,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(superposition,[status(thm)],[c_1166,c_5460]) ).
tcf(c_5464,plain,
( aScalar0(sdtasdt0(xS,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5460,c_1246]) ).
tcf(c_5477,plain,
sdtasdt0(smndt0(xS),xS) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_2425,c_5022]) ).
tcf(c_5478,plain,
( aScalar0(sdtasdt0(xS,smndt0(xS)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_5022,c_1246]) ).
tcf(c_5479,plain,
( aScalar0(sdtasdt0(xS,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5477,c_1246]) ).
tcf(c_5480,plain,
sdtasdt0(smndt0(xS),xN) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_2426,c_5023]) ).
tcf(c_5481,plain,
( aScalar0(sdtasdt0(xS,smndt0(xN)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_5023,c_1246]) ).
tcf(c_5519,plain,
( aScalar0(sdtasdt0(xS,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5480,c_1246]) ).
tcf(c_5536,plain,
( aScalar0(smndt0(sdtasdt0(xS,xR)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,xR)))) ),
inference(superposition,[status(thm)],[c_5175,c_1245]) ).
tcf(c_5552,plain,
( aScalar0(smndt0(sdtasdt0(xS,sz0z00)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))) ),
inference(superposition,[status(thm)],[c_5315,c_1245]) ).
tcf(c_5553,plain,
aScalar0(sdtasdt0(xS,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_5404,c_133,c_56,c_2525,c_3158,c_5402]) ).
tcf(c_5557,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2484]) ).
tcf(c_5558,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2483]) ).
tcf(c_5559,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5553,c_2440]) ).
tcf(c_5560,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5553,c_2432]) ).
tcf(c_5561,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_5553,c_1231]) ).
tcf(c_5562,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_5553,c_1233]) ).
tcf(c_5563,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_5553,c_1232]) ).
tcf(c_5564,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_5553,c_1237]) ).
tcf(c_5565,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_5553,c_1235]) ).
tcf(c_5566,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2427]) ).
tcf(c_5567,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_5553,c_1230]) ).
tcf(c_5568,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_5553,c_1229]) ).
tcf(c_5569,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_5553,c_1228]) ).
tcf(c_5570,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5553,c_1240]) ).
tcf(c_5571,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5553,c_1239]) ).
tcf(c_5572,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_5553,c_1238]) ).
tcf(c_5617,plain,
( aScalar0(sdtasdt0(smndt0(xS),xR))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1246]) ).
tcf(c_5645,plain,
( aScalar0(smndt0(sdtasdt0(xS,xN)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,xN)))) ),
inference(superposition,[status(thm)],[c_5418,c_1245]) ).
tcf(c_5648,plain,
aScalar0(sdtasdt0(xS,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_5464,c_133,c_129,c_2525,c_2932,c_3241,c_5461]) ).
tcf(c_5651,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2484]) ).
tcf(c_5652,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2483]) ).
tcf(c_5653,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xR))),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5648,c_2440]) ).
tcf(c_5654,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))),smndt0(sdtasdt0(xS,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5648,c_2432]) ).
tcf(c_5655,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_5648,c_1231]) ).
tcf(c_5656,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_5648,c_1233]) ).
tcf(c_5657,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_5648,c_1232]) ).
tcf(c_5658,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_5648,c_1237]) ).
tcf(c_5659,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_5648,c_1235]) ).
tcf(c_5660,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2427]) ).
tcf(c_5661,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_5648,c_1230]) ).
tcf(c_5662,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_5648,c_1229]) ).
tcf(c_5663,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_5648,c_1228]) ).
tcf(c_5664,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5648,c_1240]) ).
tcf(c_5665,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xR))),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_5648,c_1239]) ).
tcf(c_5666,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_5648,c_1238]) ).
tcf(c_5728,plain,
aScalar0(sdtasdt0(xS,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_5479,c_133,c_2525,c_3303,c_5478]) ).
tcf(c_5730,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2484]) ).
tcf(c_5731,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2483]) ).
tcf(c_5732,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xS))),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_5728,c_2440]) ).
tcf(c_5733,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))),smndt0(sdtasdt0(xS,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_5728,c_2432]) ).
tcf(c_5734,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_5728,c_1231]) ).
tcf(c_5735,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_5728,c_1233]) ).
tcf(c_5736,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_5728,c_1232]) ).
tcf(c_5737,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_5728,c_1237]) ).
tcf(c_5738,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_5728,c_1235]) ).
tcf(c_5739,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2427]) ).
tcf(c_5740,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_5728,c_1230]) ).
tcf(c_5741,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_5728,c_1229]) ).
tcf(c_5742,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_5728,c_1228]) ).
tcf(c_5743,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_5728,c_1240]) ).
tcf(c_5744,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xS))),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_5728,c_1239]) ).
tcf(c_5745,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_5728,c_1238]) ).
tcf(c_5824,plain,
aScalar0(sdtasdt0(xS,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_5519,c_133,c_129,c_2443,c_2525,c_3100,c_5481]) ).
tcf(c_5826,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2484]) ).
tcf(c_5827,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2483]) ).
tcf(c_5828,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xN))),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_5824,c_2440]) ).
tcf(c_5829,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))),smndt0(sdtasdt0(xS,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_5824,c_2432]) ).
tcf(c_5830,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_5824,c_1231]) ).
tcf(c_5831,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_5824,c_1233]) ).
tcf(c_5832,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_5824,c_1232]) ).
tcf(c_5833,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_5824,c_1237]) ).
tcf(c_5834,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_5824,c_1235]) ).
tcf(c_5835,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2427]) ).
tcf(c_5836,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_5824,c_1230]) ).
tcf(c_5837,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_5824,c_1229]) ).
tcf(c_5838,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_5824,c_1228]) ).
tcf(c_5839,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_5824,c_1240]) ).
tcf(c_5840,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xN))),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_5824,c_1239]) ).
tcf(c_5841,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_5824,c_1238]) ).
tcf(c_5922,plain,
( aScalar0(smndt0(sdtasdt0(xS,xR)))
| ~ aScalar0(sdtasdt0(xS,xR)) ),
inference(superposition,[status(thm)],[c_5181,c_5536]) ).
tcf(c_5923,plain,
aScalar0(smndt0(sdtasdt0(xS,xR))),
inference(global_subsumption_just,[status(thm)],[c_5922,c_133,c_129,c_2525,c_2932,c_5148,c_5922]) ).
tcf(c_5925,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2484]) ).
tcf(c_5926,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2483]) ).
tcf(c_5927,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xR))),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5923,c_2440]) ).
tcf(c_5928,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))),smndt0(smndt0(sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5923,c_2432]) ).
tcf(c_5929,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_5923,c_1231]) ).
tcf(c_5930,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_5923,c_1233]) ).
tcf(c_5931,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_5923,c_1232]) ).
tcf(c_5932,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_5923,c_1237]) ).
tcf(c_5933,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_5923,c_1235]) ).
tcf(c_5934,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = smndt0(smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2427]) ).
tcf(c_5935,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_5923,c_1230]) ).
tcf(c_5936,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_5923,c_1229]) ).
tcf(c_5937,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_5923,c_1228]) ).
tcf(c_5978,plain,
( aScalar0(smndt0(sdtasdt0(xS,sz0z00)))
| ~ aScalar0(sdtasdt0(xS,sz0z00)) ),
inference(superposition,[status(thm)],[c_5321,c_5552]) ).
tcf(c_5979,plain,
aScalar0(smndt0(sdtasdt0(xS,sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_5978,c_133,c_56,c_147,c_2525,c_5250,c_5978]) ).
tcf(c_5981,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2484]) ).
tcf(c_5982,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2483]) ).
tcf(c_5983,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5979,c_2440]) ).
tcf(c_5984,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5979,c_2432]) ).
tcf(c_5985,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_5979,c_1231]) ).
tcf(c_5986,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_5979,c_1233]) ).
tcf(c_5987,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_5979,c_1232]) ).
tcf(c_5988,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_5979,c_1237]) ).
tcf(c_5989,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_5979,c_1235]) ).
tcf(c_5990,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = smndt0(smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2427]) ).
tcf(c_5991,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_5979,c_1230]) ).
tcf(c_5992,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_5979,c_1229]) ).
tcf(c_5993,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_5979,c_1228]) ).
tcf(c_6042,plain,
( aScalar0(smndt0(sdtasdt0(xS,xN)))
| ~ aScalar0(sdtasdt0(xS,xN)) ),
inference(superposition,[status(thm)],[c_5424,c_5645]) ).
tcf(c_6043,plain,
aScalar0(smndt0(sdtasdt0(xS,xN))),
inference(global_subsumption_just,[status(thm)],[c_6042,c_133,c_129,c_2443,c_2525,c_5156,c_6042]) ).
tcf(c_6045,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2484]) ).
tcf(c_6046,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2483]) ).
tcf(c_6047,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xN))),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6043,c_2440]) ).
tcf(c_6048,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))),smndt0(smndt0(sdtasdt0(xS,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6043,c_2432]) ).
tcf(c_6049,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_6043,c_1231]) ).
tcf(c_6050,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_6043,c_1233]) ).
tcf(c_6051,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_6043,c_1232]) ).
tcf(c_6052,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_6043,c_1237]) ).
tcf(c_6053,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_6043,c_1235]) ).
tcf(c_6054,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = smndt0(smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2427]) ).
tcf(c_6055,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_6043,c_1230]) ).
tcf(c_6056,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_6043,c_1229]) ).
tcf(c_6057,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_6043,c_1228]) ).
tcf(c_6123,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2485]) ).
tcf(c_6124,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_1177,c_2485]) ).
tcf(c_6125,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_1173,c_2485]) ).
tcf(c_6126,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_1171,c_2485]) ).
tcf(c_6127,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2485]) ).
tcf(c_6128,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_1245,c_2485]) ).
tcf(c_6129,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_1246,c_2485]) ).
tcf(c_6130,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_1247,c_2485]) ).
tcf(c_6131,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xR))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2485]) ).
tcf(c_6132,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xS))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2485]) ).
tcf(c_6133,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xN))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2485]) ).
tcf(c_6134,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xN,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2485]) ).
tcf(c_6135,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2485]) ).
tcf(c_6136,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xN,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2485]) ).
tcf(c_6137,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2485]) ).
tcf(c_6138,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2485]) ).
tcf(c_6139,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2485]) ).
tcf(c_6140,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2485]) ).
tcf(c_6141,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2485]) ).
tcf(c_6142,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2485]) ).
tcf(c_6143,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2485]) ).
tcf(c_6144,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xN,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2485]) ).
tcf(c_6145,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2485]) ).
tcf(c_6146,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xN,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2485]) ).
tcf(c_6147,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2485]) ).
tcf(c_6148,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2485]) ).
tcf(c_6149,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2485]) ).
tcf(c_6150,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2485]) ).
tcf(c_6151,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2485]) ).
tcf(c_6152,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2485]) ).
tcf(c_6153,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2485]) ).
tcf(c_6154,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2485]) ).
tcf(c_6155,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2485]) ).
tcf(c_6156,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xN,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2485]) ).
tcf(c_6157,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xN,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2485]) ).
tcf(c_6158,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2485]) ).
tcf(c_6159,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2485]) ).
tcf(c_6160,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2485]) ).
tcf(c_6161,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2485]) ).
tcf(c_6162,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2485]) ).
tcf(c_6163,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2485]) ).
tcf(c_6164,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2485]) ).
tcf(c_6262,plain,
sdtasdt0(smndt0(xN),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_1161,c_6123]) ).
tcf(c_6263,plain,
( aScalar0(sdtasdt0(xN,sz0z00))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_6123,c_1246]) ).
tcf(c_6264,plain,
( aScalar0(sdtasdt0(xN,sz0z00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6262,c_1246]) ).
tcf(c_6265,plain,
( aScalar0(sdtasdt0(xN,xR))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_6124,c_1246]) ).
tcf(c_6277,plain,
( aScalar0(sdtasdt0(xN,xS))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_6125,c_1246]) ).
tcf(c_6278,plain,
( aScalar0(sdtasdt0(xN,xN))
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6126,c_1246]) ).
tcf(c_6279,plain,
aScalar0(sdtasdt0(xN,xN)),
inference(global_subsumption_just,[status(thm)],[c_6278,c_133,c_129,c_2443,c_2525,c_6278]) ).
tcf(c_6281,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xN,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2485]) ).
tcf(c_6282,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xS,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2484]) ).
tcf(c_6283,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xR,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2483]) ).
tcf(c_6284,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xN)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6279,c_2440]) ).
tcf(c_6285,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xN))),smndt0(sdtasdt0(xN,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_6279,c_2432]) ).
tcf(c_6286,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_6279,c_1231]) ).
tcf(c_6287,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_6279,c_1233]) ).
tcf(c_6288,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_6279,c_1232]) ).
tcf(c_6289,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_6279,c_1237]) ).
tcf(c_6290,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_6279,c_1235]) ).
tcf(c_6291,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2427]) ).
tcf(c_6292,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_6279,c_1230]) ).
tcf(c_6293,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_6279,c_1229]) ).
tcf(c_6294,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_6279,c_1228]) ).
tcf(c_6295,plain,
sdtpldt0(sdtasdt0(xN,xN),smndt0(sdtasdt0(xN,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_6279,c_1240]) ).
tcf(c_6296,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xN)),sdtasdt0(xN,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_6279,c_1239]) ).
tcf(c_6297,plain,
smndt0(smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_6279,c_1238]) ).
tcf(c_6363,plain,
aScalar0(sdtasdt0(xN,sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_6264,c_133,c_129,c_56,c_147,c_2443,c_2525,c_6263]) ).
tcf(c_6365,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xN,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2485]) ).
tcf(c_6366,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xS,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2484]) ).
tcf(c_6367,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xR,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2483]) ).
tcf(c_6368,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6363,c_2440]) ).
tcf(c_6369,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6363,c_2432]) ).
tcf(c_6370,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_6363,c_1231]) ).
tcf(c_6371,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_6363,c_1233]) ).
tcf(c_6372,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_6363,c_1232]) ).
tcf(c_6373,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_6363,c_1237]) ).
tcf(c_6374,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_6363,c_1235]) ).
tcf(c_6375,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2427]) ).
tcf(c_6376,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_6363,c_1230]) ).
tcf(c_6377,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_6363,c_1229]) ).
tcf(c_6378,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_6363,c_1228]) ).
tcf(c_6379,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6363,c_1240]) ).
tcf(c_6380,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_6363,c_1239]) ).
tcf(c_6381,plain,
smndt0(smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6363,c_1238]) ).
tcf(c_6459,plain,
sdtasdt0(smndt0(xN),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2583,c_6127]) ).
tcf(c_6461,plain,
( aScalar0(sdtasdt0(xN,smndt0(sz0z00)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_6127,c_1246]) ).
tcf(c_6463,plain,
( aScalar0(sdtasdt0(xN,smndt0(sz0z00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6459,c_1246]) ).
tcf(c_6464,plain,
sdtasdt0(xN,smndt0(sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6459,c_6262]) ).
tcf(c_6466,plain,
sdtasdt0(smndt0(xN),xR) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_2424,c_6131]) ).
tcf(c_6467,plain,
( aScalar0(sdtasdt0(xN,smndt0(xR)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_6131,c_1246]) ).
tcf(c_6468,plain,
( aScalar0(sdtasdt0(xN,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6466,c_1246]) ).
tcf(c_6471,plain,
aScalar0(sdtasdt0(xN,xR)),
inference(global_subsumption_just,[status(thm)],[c_6265,c_133,c_129,c_2443,c_2525,c_2932,c_6265]) ).
tcf(c_6473,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xN,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2485]) ).
tcf(c_6474,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xS,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2484]) ).
tcf(c_6475,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xR,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2483]) ).
tcf(c_6476,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xR)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_6471,c_2440]) ).
tcf(c_6477,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xR))),smndt0(sdtasdt0(xN,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_6471,c_2432]) ).
tcf(c_6478,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_6471,c_1231]) ).
tcf(c_6479,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_6471,c_1233]) ).
tcf(c_6480,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_6471,c_1232]) ).
tcf(c_6481,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_6471,c_1237]) ).
tcf(c_6482,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_6471,c_1235]) ).
tcf(c_6483,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2427]) ).
tcf(c_6484,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_6471,c_1230]) ).
tcf(c_6485,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_6471,c_1229]) ).
tcf(c_6486,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_6471,c_1228]) ).
tcf(c_6487,plain,
sdtpldt0(sdtasdt0(xN,xR),smndt0(sdtasdt0(xN,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_6471,c_1240]) ).
tcf(c_6488,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xR)),sdtasdt0(xN,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_6471,c_1239]) ).
tcf(c_6489,plain,
smndt0(smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_6471,c_1238]) ).
tcf(c_6554,plain,
sdtasdt0(smndt0(xN),xS) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_2425,c_6132]) ).
tcf(c_6555,plain,
( aScalar0(sdtasdt0(xN,smndt0(xS)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_6132,c_1246]) ).
tcf(c_6556,plain,
( aScalar0(sdtasdt0(xN,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6554,c_1246]) ).
tcf(c_6557,plain,
sdtasdt0(smndt0(xN),xN) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_2426,c_6133]) ).
tcf(c_6558,plain,
( aScalar0(sdtasdt0(xN,smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_6133,c_1246]) ).
tcf(c_6559,plain,
( aScalar0(sdtasdt0(xN,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6557,c_1246]) ).
tcf(c_6560,plain,
aScalar0(sdtasdt0(xN,xS)),
inference(global_subsumption_just,[status(thm)],[c_6277,c_133,c_129,c_2443,c_2525,c_6277]) ).
tcf(c_6562,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xN,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2485]) ).
tcf(c_6563,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xS,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2484]) ).
tcf(c_6564,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xR,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2483]) ).
tcf(c_6565,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xS)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_6560,c_2440]) ).
tcf(c_6566,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xS))),smndt0(sdtasdt0(xN,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_6560,c_2432]) ).
tcf(c_6567,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_6560,c_1231]) ).
tcf(c_6568,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_6560,c_1233]) ).
tcf(c_6569,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_6560,c_1232]) ).
tcf(c_6570,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_6560,c_1237]) ).
tcf(c_6571,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_6560,c_1235]) ).
tcf(c_6572,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2427]) ).
tcf(c_6573,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_6560,c_1230]) ).
tcf(c_6574,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_6560,c_1229]) ).
tcf(c_6575,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_6560,c_1228]) ).
tcf(c_6576,plain,
sdtpldt0(sdtasdt0(xN,xS),smndt0(sdtasdt0(xN,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_6560,c_1240]) ).
tcf(c_6577,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xS)),sdtasdt0(xN,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_6560,c_1239]) ).
tcf(c_6578,plain,
smndt0(smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_6560,c_1238]) ).
tcf(c_6640,plain,
( aScalar0(smndt0(sdtasdt0(xN,xN)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,xN)))) ),
inference(superposition,[status(thm)],[c_6291,c_1245]) ).
tcf(c_6641,plain,
( aScalar0(smndt0(sdtasdt0(xN,sz0z00)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))) ),
inference(superposition,[status(thm)],[c_6375,c_1245]) ).
tcf(c_6642,plain,
aScalar0(sdtasdt0(xN,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_6463,c_133,c_129,c_56,c_2443,c_2525,c_3158,c_6461]) ).
tcf(c_6646,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2485]) ).
tcf(c_6647,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2484]) ).
tcf(c_6648,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2483]) ).
tcf(c_6649,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_6642,c_2440]) ).
tcf(c_6650,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6642,c_2432]) ).
tcf(c_6651,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_6642,c_1231]) ).
tcf(c_6652,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_6642,c_1233]) ).
tcf(c_6653,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_6642,c_1232]) ).
tcf(c_6654,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_6642,c_1237]) ).
tcf(c_6655,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_6642,c_1235]) ).
tcf(c_6656,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2427]) ).
tcf(c_6657,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_6642,c_1230]) ).
tcf(c_6658,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_6642,c_1229]) ).
tcf(c_6659,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_6642,c_1228]) ).
tcf(c_6660,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6642,c_1240]) ).
tcf(c_6661,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6642,c_1239]) ).
tcf(c_6662,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_6642,c_1238]) ).
tcf(c_6749,plain,
aScalar0(sdtasdt0(xN,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_6468,c_133,c_129,c_2443,c_2525,c_2932,c_3241,c_6467]) ).
tcf(c_6751,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2485]) ).
tcf(c_6752,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2484]) ).
tcf(c_6753,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2483]) ).
tcf(c_6754,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xR))),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_6749,c_2440]) ).
tcf(c_6755,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))),smndt0(sdtasdt0(xN,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_6749,c_2432]) ).
tcf(c_6756,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_6749,c_1231]) ).
tcf(c_6757,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_6749,c_1233]) ).
tcf(c_6758,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_6749,c_1232]) ).
tcf(c_6759,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_6749,c_1237]) ).
tcf(c_6760,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_6749,c_1235]) ).
tcf(c_6761,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2427]) ).
tcf(c_6762,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_6749,c_1230]) ).
tcf(c_6763,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_6749,c_1229]) ).
tcf(c_6764,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_6749,c_1228]) ).
tcf(c_6765,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_6749,c_1240]) ).
tcf(c_6766,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xR))),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_6749,c_1239]) ).
tcf(c_6767,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_6749,c_1238]) ).
tcf(c_6929,plain,
aScalar0(sdtasdt0(xN,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_6556,c_133,c_129,c_2443,c_2525,c_3303,c_6555]) ).
tcf(c_6931,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2485]) ).
tcf(c_6932,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2484]) ).
tcf(c_6933,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2483]) ).
tcf(c_6934,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xS))),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_6929,c_2440]) ).
tcf(c_6935,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))),smndt0(sdtasdt0(xN,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_6929,c_2432]) ).
tcf(c_6936,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_6929,c_1231]) ).
tcf(c_6937,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_6929,c_1233]) ).
tcf(c_6938,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_6929,c_1232]) ).
tcf(c_6939,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_6929,c_1237]) ).
tcf(c_6940,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_6929,c_1235]) ).
tcf(c_6941,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2427]) ).
tcf(c_6942,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_6929,c_1230]) ).
tcf(c_6943,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_6929,c_1229]) ).
tcf(c_6944,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_6929,c_1228]) ).
tcf(c_6945,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_6929,c_1240]) ).
tcf(c_6946,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xS))),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_6929,c_1239]) ).
tcf(c_6947,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_6929,c_1238]) ).
tcf(c_6963,plain,
aScalar0(sdtasdt0(xN,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_6559,c_133,c_129,c_2443,c_2525,c_3100,c_6558]) ).
tcf(c_6965,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2485]) ).
tcf(c_6966,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2484]) ).
tcf(c_6967,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2483]) ).
tcf(c_6968,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xN))),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6963,c_2440]) ).
tcf(c_6969,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))),smndt0(sdtasdt0(xN,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6963,c_2432]) ).
tcf(c_6970,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_6963,c_1231]) ).
tcf(c_6971,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_6963,c_1233]) ).
tcf(c_6972,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_6963,c_1232]) ).
tcf(c_6973,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_6963,c_1237]) ).
tcf(c_6974,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_6963,c_1235]) ).
tcf(c_6975,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2427]) ).
tcf(c_6976,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_6963,c_1230]) ).
tcf(c_6977,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_6963,c_1229]) ).
tcf(c_6978,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_6963,c_1228]) ).
tcf(c_6979,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6963,c_1240]) ).
tcf(c_6980,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xN))),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_6963,c_1239]) ).
tcf(c_6981,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_6963,c_1238]) ).
tcf(c_7028,plain,
( aScalar0(smndt0(sdtasdt0(xN,xN)))
| ~ aScalar0(sdtasdt0(xN,xN)) ),
inference(superposition,[status(thm)],[c_6297,c_6640]) ).
tcf(c_7029,plain,
aScalar0(smndt0(sdtasdt0(xN,xN))),
inference(global_subsumption_just,[status(thm)],[c_7028,c_133,c_129,c_2443,c_2525,c_6278,c_7028]) ).
tcf(c_7031,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2485]) ).
tcf(c_7032,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2484]) ).
tcf(c_7033,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2483]) ).
tcf(c_7034,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xN))),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_7029,c_2440]) ).
tcf(c_7035,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))),smndt0(smndt0(sdtasdt0(xN,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_7029,c_2432]) ).
tcf(c_7036,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_7029,c_1231]) ).
tcf(c_7037,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_7029,c_1233]) ).
tcf(c_7038,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_7029,c_1232]) ).
tcf(c_7039,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_7029,c_1237]) ).
tcf(c_7040,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_7029,c_1235]) ).
tcf(c_7041,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = smndt0(smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2427]) ).
tcf(c_7042,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_7029,c_1230]) ).
tcf(c_7043,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_7029,c_1229]) ).
tcf(c_7044,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_7029,c_1228]) ).
tcf(c_7243,plain,
( aScalar0(smndt0(sdtasdt0(xN,xR)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,xR)))) ),
inference(superposition,[status(thm)],[c_6483,c_1245]) ).
tcf(c_7244,plain,
( aScalar0(smndt0(sdtasdt0(xN,xS)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,xS)))) ),
inference(superposition,[status(thm)],[c_6572,c_1245]) ).
tcf(c_7246,plain,
( aScalar0(smndt0(sdtasdt0(xN,sz0z00)))
| ~ aScalar0(sdtasdt0(xN,sz0z00)) ),
inference(superposition,[status(thm)],[c_6381,c_6641]) ).
tcf(c_7247,plain,
aScalar0(smndt0(sdtasdt0(xN,sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_7246,c_133,c_129,c_56,c_147,c_2443,c_2525,c_6263,c_7246]) ).
tcf(c_7249,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2485]) ).
tcf(c_7250,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2484]) ).
tcf(c_7251,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2483]) ).
tcf(c_7252,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_7247,c_2440]) ).
tcf(c_7253,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_7247,c_2432]) ).
tcf(c_7254,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_7247,c_1231]) ).
tcf(c_7255,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_7247,c_1233]) ).
tcf(c_7256,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_7247,c_1232]) ).
tcf(c_7257,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_7247,c_1237]) ).
tcf(c_7258,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_7247,c_1235]) ).
tcf(c_7259,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = smndt0(smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2427]) ).
tcf(c_7260,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_7247,c_1230]) ).
tcf(c_7261,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_7247,c_1229]) ).
tcf(c_7262,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_7247,c_1228]) ).
tcf(c_7281,plain,
( aScalar0(smndt0(sdtasdt0(xN,xR)))
| ~ aScalar0(sdtasdt0(xN,xR)) ),
inference(superposition,[status(thm)],[c_6489,c_7243]) ).
tcf(c_7282,plain,
aScalar0(smndt0(sdtasdt0(xN,xR))),
inference(global_subsumption_just,[status(thm)],[c_7281,c_133,c_129,c_2443,c_2525,c_2932,c_6265,c_7281]) ).
tcf(c_7284,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2485]) ).
tcf(c_7285,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2484]) ).
tcf(c_7286,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2483]) ).
tcf(c_7287,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xR))),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_7282,c_2440]) ).
tcf(c_7288,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))),smndt0(smndt0(sdtasdt0(xN,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_7282,c_2432]) ).
tcf(c_7289,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_7282,c_1231]) ).
tcf(c_7290,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_7282,c_1233]) ).
tcf(c_7291,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_7282,c_1232]) ).
tcf(c_7292,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_7282,c_1237]) ).
tcf(c_7293,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_7282,c_1235]) ).
tcf(c_7294,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = smndt0(smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2427]) ).
tcf(c_7295,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_7282,c_1230]) ).
tcf(c_7296,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_7282,c_1229]) ).
tcf(c_7297,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_7282,c_1228]) ).
tcf(c_7330,plain,
( aScalar0(smndt0(sdtasdt0(xN,xS)))
| ~ aScalar0(sdtasdt0(xN,xS)) ),
inference(superposition,[status(thm)],[c_6578,c_7244]) ).
tcf(c_7331,plain,
sdtasdt0(smndt0(xR),sz0z00) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2510]) ).
tcf(c_7332,plain,
sdtasdt0(smndt0(xR),xR) = smndt0(sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_1177,c_2510]) ).
tcf(c_7333,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_1173,c_2510]) ).
tcf(c_7334,plain,
sdtasdt0(smndt0(xR),xN) = smndt0(sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_1171,c_2510]) ).
tcf(c_7335,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2510]) ).
tcf(c_7336,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_1245,c_2510]) ).
tcf(c_7337,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_1246,c_2510]) ).
tcf(c_7338,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_1247,c_2510]) ).
tcf(c_7339,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2510]) ).
tcf(c_7340,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2510]) ).
tcf(c_7341,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2510]) ).
tcf(c_7342,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2510]) ).
tcf(c_7343,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xN))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2510]) ).
tcf(c_7344,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2510]) ).
tcf(c_7345,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2510]) ).
tcf(c_7346,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xR))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2510]) ).
tcf(c_7347,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2510]) ).
tcf(c_7348,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2510]) ).
tcf(c_7349,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2510]) ).
tcf(c_7350,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2510]) ).
tcf(c_7351,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2510]) ).
tcf(c_7352,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2510]) ).
tcf(c_7353,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2510]) ).
tcf(c_7354,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2510]) ).
tcf(c_7355,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2510]) ).
tcf(c_7356,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2510]) ).
tcf(c_7357,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2510]) ).
tcf(c_7358,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2510]) ).
tcf(c_7359,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2510]) ).
tcf(c_7360,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2510]) ).
tcf(c_7361,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2510]) ).
tcf(c_7362,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2510]) ).
tcf(c_7363,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2510]) ).
tcf(c_7364,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2510]) ).
tcf(c_7365,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2510]) ).
tcf(c_7366,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2510]) ).
tcf(c_7367,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2510]) ).
tcf(c_7368,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2510]) ).
tcf(c_7369,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2510]) ).
tcf(c_7370,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2510]) ).
tcf(c_7371,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2510]) ).
tcf(c_7372,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2510]) ).
tcf(c_7373,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2510]) ).
tcf(c_7374,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2510]) ).
tcf(c_7375,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2510]) ).
tcf(c_7376,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2510]) ).
tcf(c_7377,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2510]) ).
tcf(c_7378,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2510]) ).
tcf(c_7379,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2510]) ).
tcf(c_7380,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2510]) ).
tcf(c_7381,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2510]) ).
tcf(c_7382,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2510]) ).
tcf(c_7383,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2510]) ).
tcf(c_7511,plain,
aScalar0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7332,c_4682]) ).
tcf(c_7513,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_7332,c_3921]) ).
tcf(c_7514,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),sdtasdt0(xR,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_7332,c_3926]) ).
tcf(c_7515,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_7332,c_3925]) ).
tcf(c_7516,plain,
smndt0(sdtasdt0(smndt0(xR),xR)) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_7332,c_3927]) ).
tcf(c_7517,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(xN),
inference(superposition,[status(thm)],[c_1170,c_7333]) ).
tcf(c_7519,plain,
aScalar0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7333,c_4862]) ).
tcf(c_7521,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_7333,c_4083]) ).
tcf(c_7522,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_7333,c_4088]) ).
tcf(c_7523,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_7333,c_4087]) ).
tcf(c_7524,plain,
smndt0(sdtasdt0(smndt0(xR),xS)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_7333,c_4089]) ).
tcf(c_7559,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2510]) ).
tcf(c_7560,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2485]) ).
tcf(c_7561,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2484]) ).
tcf(c_7562,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2483]) ).
tcf(c_7563,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xR)),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_7511,c_2440]) ).
tcf(c_7564,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))),smndt0(sdtasdt0(smndt0(xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7511,c_2432]) ).
tcf(c_7565,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_7511,c_1231]) ).
tcf(c_7566,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_7511,c_1233]) ).
tcf(c_7567,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_7511,c_1232]) ).
tcf(c_7568,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_7511,c_1237]) ).
tcf(c_7569,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_7511,c_1235]) ).
tcf(c_7570,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2427]) ).
tcf(c_7571,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_7511,c_1230]) ).
tcf(c_7572,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_7511,c_1229]) ).
tcf(c_7573,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_7511,c_1228]) ).
tcf(c_7574,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),smndt0(sdtasdt0(smndt0(xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7511,c_1240]) ).
tcf(c_7575,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xR)),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_7511,c_1239]) ).
tcf(c_7601,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2510]) ).
tcf(c_7602,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2485]) ).
tcf(c_7603,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2484]) ).
tcf(c_7604,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2483]) ).
tcf(c_7605,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xS)),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_7519,c_2440]) ).
tcf(c_7606,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))),smndt0(sdtasdt0(smndt0(xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7519,c_2432]) ).
tcf(c_7607,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_7519,c_1231]) ).
tcf(c_7608,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_7519,c_1233]) ).
tcf(c_7609,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_7519,c_1232]) ).
tcf(c_7610,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_7519,c_1237]) ).
tcf(c_7611,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_7519,c_1235]) ).
tcf(c_7612,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2427]) ).
tcf(c_7613,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_7519,c_1230]) ).
tcf(c_7614,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_7519,c_1229]) ).
tcf(c_7615,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_7519,c_1228]) ).
tcf(c_7616,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),smndt0(sdtasdt0(smndt0(xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7519,c_1240]) ).
tcf(c_7617,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xS)),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_7519,c_1239]) ).
tcf(c_7685,plain,
aScalar0(smndt0(sdtasdt0(xN,xS))),
inference(global_subsumption_just,[status(thm)],[c_7330,c_133,c_129,c_2443,c_2525,c_6277,c_7330]) ).
tcf(c_7687,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2510]) ).
tcf(c_7688,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2485]) ).
tcf(c_7689,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2484]) ).
tcf(c_7690,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2483]) ).
tcf(c_7691,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xS))),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_7685,c_2440]) ).
tcf(c_7692,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))),smndt0(smndt0(sdtasdt0(xN,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_7685,c_2432]) ).
tcf(c_7693,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_7685,c_1231]) ).
tcf(c_7694,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_7685,c_1233]) ).
tcf(c_7695,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_7685,c_1232]) ).
tcf(c_7696,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_7685,c_1237]) ).
tcf(c_7697,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_7685,c_1235]) ).
tcf(c_7698,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = smndt0(smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2427]) ).
tcf(c_7699,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_7685,c_1230]) ).
tcf(c_7700,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_7685,c_1229]) ).
tcf(c_7701,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_7685,c_1228]) ).
tcf(c_7789,plain,
aScalar0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7331,c_4795]) ).
tcf(c_7791,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_7331,c_4010]) ).
tcf(c_7792,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_7331,c_4015]) ).
tcf(c_7793,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_7331,c_4014]) ).
tcf(c_7794,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_7331,c_4016]) ).
tcf(c_7801,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2510]) ).
tcf(c_7802,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2485]) ).
tcf(c_7803,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2484]) ).
tcf(c_7804,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2483]) ).
tcf(c_7805,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_7789,c_2440]) ).
tcf(c_7806,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7789,c_2432]) ).
tcf(c_7807,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_7789,c_1231]) ).
tcf(c_7808,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_7789,c_1233]) ).
tcf(c_7809,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_7789,c_1232]) ).
tcf(c_7810,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_7789,c_1237]) ).
tcf(c_7811,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_7789,c_1235]) ).
tcf(c_7812,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2427]) ).
tcf(c_7813,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_7789,c_1230]) ).
tcf(c_7814,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_7789,c_1229]) ).
tcf(c_7815,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_7789,c_1228]) ).
tcf(c_7816,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7789,c_1240]) ).
tcf(c_7817,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_7789,c_1239]) ).
tcf(c_7939,plain,
aScalar0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7334,c_4954]) ).
tcf(c_7941,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_7334,c_4180]) ).
tcf(c_7942,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),sdtasdt0(xR,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_7334,c_4185]) ).
tcf(c_7943,plain,
sdtpldt0(sdtasdt0(xR,xN),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_7334,c_4184]) ).
tcf(c_7944,plain,
smndt0(sdtasdt0(smndt0(xR),xN)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_7334,c_4186]) ).
tcf(c_7962,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2510]) ).
tcf(c_7963,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2485]) ).
tcf(c_7964,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2484]) ).
tcf(c_7965,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2483]) ).
tcf(c_7966,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xN)),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_7939,c_2440]) ).
tcf(c_7967,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))),smndt0(sdtasdt0(smndt0(xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7939,c_2432]) ).
tcf(c_7968,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_7939,c_1231]) ).
tcf(c_7969,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_7939,c_1233]) ).
tcf(c_7970,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_7939,c_1232]) ).
tcf(c_7971,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_7939,c_1237]) ).
tcf(c_7972,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_7939,c_1235]) ).
tcf(c_7973,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = smndt0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2427]) ).
tcf(c_7974,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_7939,c_1230]) ).
tcf(c_7975,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_7939,c_1229]) ).
tcf(c_7976,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_7939,c_1228]) ).
tcf(c_7977,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),smndt0(sdtasdt0(smndt0(xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7939,c_1240]) ).
tcf(c_7978,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xN)),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_7939,c_1239]) ).
tcf(c_8084,plain,
smndt0(sdtasdt0(xR,smndt0(xR))) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_4064,c_7516]) ).
tcf(c_8086,plain,
sdtasdt0(xR,xS) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_7517,c_7524]) ).
tcf(c_8087,plain,
smndt0(sdtasdt0(xR,smndt0(xS))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_4067,c_7524]) ).
tcf(c_8091,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xS)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_6133]) ).
tcf(c_8092,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xS)) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_5023]) ).
tcf(c_8093,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xS)) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_3580]) ).
tcf(c_8102,plain,
sdtpldt0(sdtasdt0(xR,xS),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8086,c_2614]) ).
tcf(c_8103,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8086,c_2613]) ).
tcf(c_8104,plain,
smndt0(sdtasdt0(xR,xS)) = smndt0(xN),
inference(superposition,[status(thm)],[c_8086,c_2615]) ).
tcf(c_8134,plain,
sdtasdt0(smndt0(xS),sz0z00) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2511]) ).
tcf(c_8135,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_1177,c_2511]) ).
tcf(c_8136,plain,
sdtasdt0(smndt0(xS),xS) = smndt0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_1173,c_2511]) ).
tcf(c_8137,plain,
sdtasdt0(smndt0(xS),xN) = smndt0(sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_1171,c_2511]) ).
tcf(c_8138,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = smndt0(sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2511]) ).
tcf(c_8139,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_1245,c_2511]) ).
tcf(c_8140,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_1246,c_2511]) ).
tcf(c_8141,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_1247,c_2511]) ).
tcf(c_8142,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2511]) ).
tcf(c_8143,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2511]) ).
tcf(c_8144,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2511]) ).
tcf(c_8145,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2511]) ).
tcf(c_8146,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xN))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2511]) ).
tcf(c_8147,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2511]) ).
tcf(c_8148,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2511]) ).
tcf(c_8149,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xR))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2511]) ).
tcf(c_8150,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2511]) ).
tcf(c_8151,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2511]) ).
tcf(c_8152,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2511]) ).
tcf(c_8153,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2511]) ).
tcf(c_8154,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2511]) ).
tcf(c_8155,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2511]) ).
tcf(c_8156,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2511]) ).
tcf(c_8157,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2511]) ).
tcf(c_8158,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2511]) ).
tcf(c_8159,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2511]) ).
tcf(c_8160,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2511]) ).
tcf(c_8161,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2511]) ).
tcf(c_8162,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2511]) ).
tcf(c_8163,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2511]) ).
tcf(c_8164,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2511]) ).
tcf(c_8165,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2511]) ).
tcf(c_8166,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2511]) ).
tcf(c_8167,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2511]) ).
tcf(c_8168,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2511]) ).
tcf(c_8169,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2511]) ).
tcf(c_8170,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2511]) ).
tcf(c_8171,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2511]) ).
tcf(c_8172,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2511]) ).
tcf(c_8173,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2511]) ).
tcf(c_8174,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2511]) ).
tcf(c_8175,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2511]) ).
tcf(c_8176,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2511]) ).
tcf(c_8177,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2511]) ).
tcf(c_8178,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2511]) ).
tcf(c_8179,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2511]) ).
tcf(c_8180,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2511]) ).
tcf(c_8181,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2511]) ).
tcf(c_8182,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2511]) ).
tcf(c_8183,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2511]) ).
tcf(c_8184,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2511]) ).
tcf(c_8185,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2511]) ).
tcf(c_8186,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2511]) ).
tcf(c_8187,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2511]) ).
tcf(c_8188,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2511]) ).
tcf(c_8189,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2511]) ).
tcf(c_8190,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2511]) ).
tcf(c_8191,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2511]) ).
tcf(c_8452,plain,
aScalar0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8135,c_5923]) ).
tcf(c_8454,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_8135,c_5175]) ).
tcf(c_8455,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8135,c_5180]) ).
tcf(c_8456,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8135,c_5179]) ).
tcf(c_8457,plain,
smndt0(sdtasdt0(smndt0(xS),xR)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_8135,c_5181]) ).
tcf(c_8478,plain,
( aScalar0(sdtasdt0(smndt0(xS),xS))
| ~ aScalar0(sdtasdt0(xS,xS)) ),
inference(superposition,[status(thm)],[c_8136,c_1245]) ).
tcf(c_8480,plain,
aScalar0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8137,c_6043]) ).
tcf(c_8482,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_8137,c_5418]) ).
tcf(c_8483,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),sdtasdt0(xS,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8137,c_5423]) ).
tcf(c_8484,plain,
sdtpldt0(sdtasdt0(xS,xN),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8137,c_5422]) ).
tcf(c_8485,plain,
smndt0(sdtasdt0(smndt0(xS),xN)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_8137,c_5424]) ).
tcf(c_8488,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2511]) ).
tcf(c_8489,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2510]) ).
tcf(c_8490,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2485]) ).
tcf(c_8491,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2484]) ).
tcf(c_8492,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2483]) ).
tcf(c_8493,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xR)),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_8452,c_2440]) ).
tcf(c_8494,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))),smndt0(sdtasdt0(smndt0(xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8452,c_2432]) ).
tcf(c_8495,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_8452,c_1231]) ).
tcf(c_8496,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_8452,c_1233]) ).
tcf(c_8497,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_8452,c_1232]) ).
tcf(c_8498,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_8452,c_1237]) ).
tcf(c_8499,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_8452,c_1235]) ).
tcf(c_8500,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2427]) ).
tcf(c_8501,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_8452,c_1230]) ).
tcf(c_8502,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_8452,c_1229]) ).
tcf(c_8503,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_8452,c_1228]) ).
tcf(c_8504,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),smndt0(sdtasdt0(smndt0(xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8452,c_1240]) ).
tcf(c_8505,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xR)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8452,c_1239]) ).
tcf(c_8618,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2511]) ).
tcf(c_8619,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2510]) ).
tcf(c_8620,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2485]) ).
tcf(c_8621,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2484]) ).
tcf(c_8622,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2483]) ).
tcf(c_8623,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xN)),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_8480,c_2440]) ).
tcf(c_8624,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))),smndt0(sdtasdt0(smndt0(xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8480,c_2432]) ).
tcf(c_8625,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_8480,c_1231]) ).
tcf(c_8626,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_8480,c_1233]) ).
tcf(c_8627,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_8480,c_1232]) ).
tcf(c_8628,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_8480,c_1237]) ).
tcf(c_8629,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_8480,c_1235]) ).
tcf(c_8630,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = smndt0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2427]) ).
tcf(c_8631,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_8480,c_1230]) ).
tcf(c_8632,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_8480,c_1229]) ).
tcf(c_8633,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_8480,c_1228]) ).
tcf(c_8634,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),smndt0(sdtasdt0(smndt0(xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8480,c_1240]) ).
tcf(c_8635,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xN)),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8480,c_1239]) ).
tcf(c_8824,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_4038,c_7794]) ).
tcf(c_8825,plain,
smndt0(sdtasdt0(xR,sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_3895,c_7794]) ).
tcf(c_8832,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8825,c_4015]) ).
tcf(c_8834,plain,
smndt0(sdtasdt0(xR,smndt0(xN))) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_4166,c_7944]) ).
tcf(c_8837,plain,
sdtasdt0(xR,smndt0(xR)) = smndt0(sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_8084,c_4356]) ).
tcf(c_8840,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_8087,c_4458]) ).
tcf(c_8842,plain,
aScalar0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8134,c_5979]) ).
tcf(c_8844,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_8134,c_5315]) ).
tcf(c_8845,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8134,c_5320]) ).
tcf(c_8846,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8134,c_5319]) ).
tcf(c_8847,plain,
smndt0(sdtasdt0(smndt0(xS),sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_8134,c_5321]) ).
tcf(c_8850,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2511]) ).
tcf(c_8851,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2510]) ).
tcf(c_8852,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2485]) ).
tcf(c_8853,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2484]) ).
tcf(c_8854,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2483]) ).
tcf(c_8855,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_8842,c_2440]) ).
tcf(c_8856,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8842,c_2432]) ).
tcf(c_8857,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_8842,c_1231]) ).
tcf(c_8858,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_8842,c_1233]) ).
tcf(c_8859,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_8842,c_1232]) ).
tcf(c_8860,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_8842,c_1237]) ).
tcf(c_8861,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_8842,c_1235]) ).
tcf(c_8862,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2427]) ).
tcf(c_8863,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_8842,c_1230]) ).
tcf(c_8864,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_8842,c_1229]) ).
tcf(c_8865,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_8842,c_1228]) ).
tcf(c_8866,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8842,c_1240]) ).
tcf(c_8867,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8842,c_1239]) ).
tcf(c_8960,plain,
smndt0(sdtasdt0(xS,smndt0(xR))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_5460,c_8457]) ).
tcf(c_8961,plain,
sdtasdt0(xS,xR) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1166,c_8457]) ).
tcf(c_8981,plain,
sdtasdt0(xR,xS) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_8961,c_8086]) ).
tcf(c_8982,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xR)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_6133]) ).
tcf(c_8983,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xR)) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_5023]) ).
tcf(c_8984,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xR)) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_3580]) ).
tcf(c_8993,plain,
sdtpldt0(sdtasdt0(xS,xR),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8961,c_2614]) ).
tcf(c_8994,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8961,c_2613]) ).
tcf(c_8995,plain,
smndt0(sdtasdt0(xS,xR)) = smndt0(xN),
inference(superposition,[status(thm)],[c_8961,c_2615]) ).
tcf(c_8996,plain,
sdtasdt0(xS,xR) = xN,
inference(superposition,[status(thm)],[c_8961,c_2426]) ).
tcf(c_9031,plain,
aScalar0(sdtasdt0(smndt0(xS),xS)),
inference(global_subsumption_just,[status(thm)],[c_8478,c_133,c_2445,c_2525,c_8478]) ).
tcf(c_9034,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2511]) ).
tcf(c_9035,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2510]) ).
tcf(c_9036,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2485]) ).
tcf(c_9037,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2484]) ).
tcf(c_9038,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2483]) ).
tcf(c_9039,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xS)),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9031,c_2440]) ).
tcf(c_9040,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))),smndt0(sdtasdt0(smndt0(xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9031,c_2432]) ).
tcf(c_9041,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_9031,c_1231]) ).
tcf(c_9042,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_9031,c_1233]) ).
tcf(c_9043,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_9031,c_1232]) ).
tcf(c_9044,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_9031,c_1237]) ).
tcf(c_9045,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_9031,c_1235]) ).
tcf(c_9046,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = smndt0(sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2427]) ).
tcf(c_9047,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_9031,c_1230]) ).
tcf(c_9048,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_9031,c_1229]) ).
tcf(c_9049,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_9031,c_1228]) ).
tcf(c_9050,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),smndt0(sdtasdt0(smndt0(xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9031,c_1240]) ).
tcf(c_9051,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xS)),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9031,c_1239]) ).
tcf(c_9052,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_9031,c_1238]) ).
tcf(c_9153,plain,
sdtasdt0(smndt0(xN),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2512]) ).
tcf(c_9154,plain,
sdtasdt0(smndt0(xN),xR) = smndt0(sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_1177,c_2512]) ).
tcf(c_9155,plain,
sdtasdt0(smndt0(xN),xS) = smndt0(sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_1173,c_2512]) ).
tcf(c_9156,plain,
sdtasdt0(smndt0(xN),xN) = smndt0(sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_1171,c_2512]) ).
tcf(c_9157,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2512]) ).
tcf(c_9158,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_1245,c_2512]) ).
tcf(c_9159,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_1246,c_2512]) ).
tcf(c_9160,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_1247,c_2512]) ).
tcf(c_9161,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2512]) ).
tcf(c_9162,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2512]) ).
tcf(c_9163,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2512]) ).
tcf(c_9164,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2512]) ).
tcf(c_9165,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xN))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2512]) ).
tcf(c_9166,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2512]) ).
tcf(c_9167,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2512]) ).
tcf(c_9168,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xR))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2512]) ).
tcf(c_9169,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2512]) ).
tcf(c_9170,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2512]) ).
tcf(c_9171,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2512]) ).
tcf(c_9172,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2512]) ).
tcf(c_9173,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2512]) ).
tcf(c_9174,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2512]) ).
tcf(c_9175,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2512]) ).
tcf(c_9176,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2512]) ).
tcf(c_9177,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2512]) ).
tcf(c_9178,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2512]) ).
tcf(c_9179,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2512]) ).
tcf(c_9180,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2512]) ).
tcf(c_9181,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2512]) ).
tcf(c_9182,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2512]) ).
tcf(c_9183,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2512]) ).
tcf(c_9184,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2512]) ).
tcf(c_9185,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2512]) ).
tcf(c_9186,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2512]) ).
tcf(c_9187,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2512]) ).
tcf(c_9188,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2512]) ).
tcf(c_9189,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2512]) ).
tcf(c_9190,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2512]) ).
tcf(c_9191,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2512]) ).
tcf(c_9192,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2512]) ).
tcf(c_9193,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2512]) ).
tcf(c_9194,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2512]) ).
tcf(c_9195,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2512]) ).
tcf(c_9196,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2512]) ).
tcf(c_9197,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2512]) ).
tcf(c_9198,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2512]) ).
tcf(c_9199,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2512]) ).
tcf(c_9200,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2512]) ).
tcf(c_9201,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2512]) ).
tcf(c_9202,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2512]) ).
tcf(c_9203,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2512]) ).
tcf(c_9204,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2512]) ).
tcf(c_9205,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2512]) ).
tcf(c_9206,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2512]) ).
tcf(c_9207,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2512]) ).
tcf(c_9208,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2512]) ).
tcf(c_9209,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2512]) ).
tcf(c_9210,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2512]) ).
tcf(c_9211,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2512]) ).
tcf(c_9212,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2512]) ).
tcf(c_9213,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2512]) ).
tcf(c_9214,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2512]) ).
tcf(c_9332,plain,
aScalar0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9154,c_7282]) ).
tcf(c_9334,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_9154,c_6483]) ).
tcf(c_9335,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(xN,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9154,c_6488]) ).
tcf(c_9336,plain,
sdtpldt0(sdtasdt0(xN,xR),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9154,c_6487]) ).
tcf(c_9337,plain,
smndt0(sdtasdt0(smndt0(xN),xR)) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_9154,c_6489]) ).
tcf(c_9339,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2512]) ).
tcf(c_9340,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2511]) ).
tcf(c_9341,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2510]) ).
tcf(c_9342,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2485]) ).
tcf(c_9343,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2484]) ).
tcf(c_9344,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2483]) ).
tcf(c_9345,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xR)),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9332,c_2440]) ).
tcf(c_9346,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))),smndt0(sdtasdt0(smndt0(xN),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9332,c_2432]) ).
tcf(c_9347,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_9332,c_1231]) ).
tcf(c_9348,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_9332,c_1233]) ).
tcf(c_9349,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_9332,c_1232]) ).
tcf(c_9350,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_9332,c_1237]) ).
tcf(c_9351,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_9332,c_1235]) ).
tcf(c_9352,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2427]) ).
tcf(c_9353,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_9332,c_1230]) ).
tcf(c_9354,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_9332,c_1229]) ).
tcf(c_9355,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_9332,c_1228]) ).
tcf(c_9356,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),smndt0(sdtasdt0(smndt0(xN),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9332,c_1240]) ).
tcf(c_9357,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xR)),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9332,c_1239]) ).
tcf(c_9407,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8981,c_7333]) ).
tcf(c_9430,plain,
smndt0(sdtasdt0(xS,smndt0(xN))) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_5480,c_8485]) ).
tcf(c_9435,plain,
sdtasdt0(xR,smndt0(sz0z00)) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_8824,c_4283]) ).
tcf(c_9438,plain,
sdtasdt0(xR,smndt0(xN)) = smndt0(sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_8834,c_4554]) ).
tcf(c_9445,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(xR,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8837,c_3926]) ).
tcf(c_9446,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8837,c_3925]) ).
tcf(c_9450,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8981,c_8840]) ).
tcf(c_9458,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8840,c_4088]) ).
tcf(c_9459,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8840,c_4087]) ).
tcf(c_9478,plain,
aScalar0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9155,c_7685]) ).
tcf(c_9480,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_9155,c_6572]) ).
tcf(c_9481,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(xN,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9155,c_6577]) ).
tcf(c_9482,plain,
sdtpldt0(sdtasdt0(xN,xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9155,c_6576]) ).
tcf(c_9483,plain,
smndt0(sdtasdt0(smndt0(xN),xS)) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_9155,c_6578]) ).
tcf(c_9485,plain,
aScalar0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9156,c_7029]) ).
tcf(c_9487,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_9156,c_6291]) ).
tcf(c_9488,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9156,c_6296]) ).
tcf(c_9489,plain,
sdtpldt0(sdtasdt0(xN,xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9156,c_6295]) ).
tcf(c_9490,plain,
smndt0(sdtasdt0(smndt0(xN),xN)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_9156,c_6297]) ).
tcf(c_9495,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2531]) ).
tcf(c_9496,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_1245,c_2531]) ).
tcf(c_9497,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_1246,c_2531]) ).
tcf(c_9498,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_1247,c_2531]) ).
tcf(c_9499,plain,
sdtasdt0(xR,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2531]) ).
tcf(c_9500,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2531]) ).
tcf(c_9501,plain,
sdtasdt0(xR,smndt0(smndt0(xN))) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2531]) ).
tcf(c_9502,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2531]) ).
tcf(c_9503,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2531]) ).
tcf(c_9504,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2531]) ).
tcf(c_9505,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2531]) ).
tcf(c_9506,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2531]) ).
tcf(c_9507,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2531]) ).
tcf(c_9508,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2531]) ).
tcf(c_9509,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2531]) ).
tcf(c_9510,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2531]) ).
tcf(c_9511,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2531]) ).
tcf(c_9512,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2531]) ).
tcf(c_9513,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2531]) ).
tcf(c_9514,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2531]) ).
tcf(c_9515,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2531]) ).
tcf(c_9516,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2531]) ).
tcf(c_9517,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2531]) ).
tcf(c_9518,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2531]) ).
tcf(c_9519,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2531]) ).
tcf(c_9520,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2531]) ).
tcf(c_9521,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2531]) ).
tcf(c_9522,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2531]) ).
tcf(c_9523,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2531]) ).
tcf(c_9524,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2531]) ).
tcf(c_9525,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2531]) ).
tcf(c_9526,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2531]) ).
tcf(c_9527,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2531]) ).
tcf(c_9528,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2531]) ).
tcf(c_9529,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2531]) ).
tcf(c_9530,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2531]) ).
tcf(c_9531,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2531]) ).
tcf(c_9532,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2531]) ).
tcf(c_9533,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2531]) ).
tcf(c_9534,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2531]) ).
tcf(c_9535,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2531]) ).
tcf(c_9536,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2531]) ).
tcf(c_9537,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2531]) ).
tcf(c_9538,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2531]) ).
tcf(c_9539,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2531]) ).
tcf(c_9540,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2531]) ).
tcf(c_9541,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2531]) ).
tcf(c_9542,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2531]) ).
tcf(c_9543,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2531]) ).
tcf(c_9544,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2531]) ).
tcf(c_9545,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2531]) ).
tcf(c_9546,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2531]) ).
tcf(c_9547,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2531]) ).
tcf(c_9548,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2531]) ).
tcf(c_9549,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2531]) ).
tcf(c_9550,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2531]) ).
tcf(c_9551,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2531]) ).
tcf(c_9552,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2531]) ).
tcf(c_9553,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2531]) ).
tcf(c_9674,plain,
sdtasdt0(xS,smndt0(sz0z00)) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2532]) ).
tcf(c_9675,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_1177,c_2532]) ).
tcf(c_9676,plain,
sdtasdt0(xS,smndt0(xS)) = smndt0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_1173,c_2532]) ).
tcf(c_9677,plain,
sdtasdt0(xS,smndt0(xN)) = smndt0(sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_1171,c_2532]) ).
tcf(c_9678,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2532]) ).
tcf(c_9679,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_1245,c_2532]) ).
tcf(c_9680,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_1246,c_2532]) ).
tcf(c_9681,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_1247,c_2532]) ).
tcf(c_9682,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2532]) ).
tcf(c_9683,plain,
sdtasdt0(xS,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2532]) ).
tcf(c_9684,plain,
sdtasdt0(xS,smndt0(smndt0(xN))) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2532]) ).
tcf(c_9685,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2532]) ).
tcf(c_9686,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2532]) ).
tcf(c_9687,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2532]) ).
tcf(c_9688,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2532]) ).
tcf(c_9689,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2532]) ).
tcf(c_9690,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2532]) ).
tcf(c_9691,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2532]) ).
tcf(c_9692,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2532]) ).
tcf(c_9693,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2532]) ).
tcf(c_9694,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2532]) ).
tcf(c_9695,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2532]) ).
tcf(c_9696,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2532]) ).
tcf(c_9697,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2532]) ).
tcf(c_9698,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2532]) ).
tcf(c_9699,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2532]) ).
tcf(c_9700,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2532]) ).
tcf(c_9701,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2532]) ).
tcf(c_9702,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2532]) ).
tcf(c_9703,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2532]) ).
tcf(c_9704,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2532]) ).
tcf(c_9705,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2532]) ).
tcf(c_9706,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2532]) ).
tcf(c_9707,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2532]) ).
tcf(c_9708,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2532]) ).
tcf(c_9709,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2532]) ).
tcf(c_9710,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2532]) ).
tcf(c_9711,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2532]) ).
tcf(c_9712,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2532]) ).
tcf(c_9713,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2532]) ).
tcf(c_9714,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2532]) ).
tcf(c_9715,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2532]) ).
tcf(c_9716,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2532]) ).
tcf(c_9717,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2532]) ).
tcf(c_9718,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2532]) ).
tcf(c_9719,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2532]) ).
tcf(c_9720,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2532]) ).
tcf(c_9721,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2532]) ).
tcf(c_9722,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2532]) ).
tcf(c_9723,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2532]) ).
tcf(c_9724,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2532]) ).
tcf(c_9725,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2532]) ).
tcf(c_9726,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2532]) ).
tcf(c_9727,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2532]) ).
tcf(c_9728,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2532]) ).
tcf(c_9729,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2532]) ).
tcf(c_9730,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2532]) ).
tcf(c_9731,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2532]) ).
tcf(c_9732,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2532]) ).
tcf(c_9733,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2532]) ).
tcf(c_9734,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2532]) ).
tcf(c_9735,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2532]) ).
tcf(c_9736,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2532]) ).
tcf(c_9887,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2532]) ).
tcf(c_9888,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2531]) ).
tcf(c_9889,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2512]) ).
tcf(c_9890,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2511]) ).
tcf(c_9891,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2510]) ).
tcf(c_9892,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2485]) ).
tcf(c_9893,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2484]) ).
tcf(c_9894,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2483]) ).
tcf(c_9895,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xS)),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9478,c_2440]) ).
tcf(c_9896,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))),smndt0(sdtasdt0(smndt0(xN),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9478,c_2432]) ).
tcf(c_9897,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_9478,c_1231]) ).
tcf(c_9898,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_9478,c_1233]) ).
tcf(c_9899,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_9478,c_1232]) ).
tcf(c_9900,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_9478,c_1237]) ).
tcf(c_9901,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_9478,c_1235]) ).
tcf(c_9902,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2427]) ).
tcf(c_9903,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_9478,c_1230]) ).
tcf(c_9904,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_9478,c_1229]) ).
tcf(c_9905,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_9478,c_1228]) ).
tcf(c_9906,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),smndt0(sdtasdt0(smndt0(xN),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9478,c_1240]) ).
tcf(c_9907,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xS)),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9478,c_1239]) ).
tcf(c_10040,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2532]) ).
tcf(c_10041,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2531]) ).
tcf(c_10042,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2512]) ).
tcf(c_10043,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2511]) ).
tcf(c_10044,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2510]) ).
tcf(c_10045,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2485]) ).
tcf(c_10046,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2484]) ).
tcf(c_10047,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2483]) ).
tcf(c_10048,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xN)),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9485,c_2440]) ).
tcf(c_10049,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))),smndt0(sdtasdt0(smndt0(xN),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9485,c_2432]) ).
tcf(c_10050,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_9485,c_1231]) ).
tcf(c_10051,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_9485,c_1233]) ).
tcf(c_10052,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_9485,c_1232]) ).
tcf(c_10053,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_9485,c_1237]) ).
tcf(c_10054,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_9485,c_1235]) ).
tcf(c_10055,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2427]) ).
tcf(c_10056,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_9485,c_1230]) ).
tcf(c_10057,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_9485,c_1229]) ).
tcf(c_10058,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_9485,c_1228]) ).
tcf(c_10059,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),smndt0(sdtasdt0(smndt0(xN),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9485,c_1240]) ).
tcf(c_10060,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xN)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9485,c_1239]) ).
tcf(c_10194,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5400,c_8847]) ).
tcf(c_10195,plain,
smndt0(sdtasdt0(xS,sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5249,c_8847]) ).
tcf(c_10202,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10195,c_5320]) ).
tcf(c_10216,plain,
aScalar0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_9153,c_7247]) ).
tcf(c_10218,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_9153,c_6375]) ).
tcf(c_10219,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9153,c_6380]) ).
tcf(c_10220,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9153,c_6379]) ).
tcf(c_10221,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_9153,c_6381]) ).
tcf(c_10224,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2532]) ).
tcf(c_10225,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2531]) ).
tcf(c_10226,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2512]) ).
tcf(c_10227,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2511]) ).
tcf(c_10228,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2510]) ).
tcf(c_10229,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2485]) ).
tcf(c_10230,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2484]) ).
tcf(c_10231,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2483]) ).
tcf(c_10232,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10216,c_2440]) ).
tcf(c_10233,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10216,c_2432]) ).
tcf(c_10234,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_10216,c_1231]) ).
tcf(c_10235,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_10216,c_1233]) ).
tcf(c_10236,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_10216,c_1232]) ).
tcf(c_10237,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_10216,c_1237]) ).
tcf(c_10238,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_10216,c_1235]) ).
tcf(c_10239,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2427]) ).
tcf(c_10240,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_10216,c_1230]) ).
tcf(c_10241,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_10216,c_1229]) ).
tcf(c_10242,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_10216,c_1228]) ).
tcf(c_10243,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10216,c_1240]) ).
tcf(c_10244,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10216,c_1239]) ).
tcf(c_10431,plain,
smndt0(sdtasdt0(xN,smndt0(xR))) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_6466,c_9337]) ).
tcf(c_10438,plain,
sdtasdt0(smndt0(xR),xS) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_9407,c_8135]) ).
tcf(c_10442,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9407,c_5180]) ).
tcf(c_10443,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9407,c_5179]) ).
tcf(c_10444,plain,
smndt0(sdtasdt0(smndt0(xR),xS)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9407,c_5181]) ).
tcf(c_10468,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9435,c_4015]) ).
tcf(c_10469,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9435,c_4014]) ).
tcf(c_10483,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9438,c_4185]) ).
tcf(c_10484,plain,
sdtpldt0(sdtasdt0(xR,xN),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9438,c_4184]) ).
tcf(c_10509,plain,
sdtasdt0(smndt0(xR),xS) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_9675,c_9407]) ).
tcf(c_10515,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9675,c_5180]) ).
tcf(c_10516,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9675,c_5179]) ).
tcf(c_10532,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9677,c_5423]) ).
tcf(c_10533,plain,
sdtpldt0(sdtasdt0(xS,xN),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9677,c_5422]) ).
tcf(c_10540,plain,
sdtasdt0(xN,smndt0(sz0z00)) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2533]) ).
tcf(c_10541,plain,
sdtasdt0(xN,smndt0(xR)) = smndt0(sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_1177,c_2533]) ).
tcf(c_10542,plain,
sdtasdt0(xN,smndt0(xS)) = smndt0(sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_1173,c_2533]) ).
tcf(c_10543,plain,
sdtasdt0(xN,smndt0(xN)) = smndt0(sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_1171,c_2533]) ).
tcf(c_10544,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2533]) ).
tcf(c_10545,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_1245,c_2533]) ).
tcf(c_10546,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_1246,c_2533]) ).
tcf(c_10547,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_1247,c_2533]) ).
tcf(c_10548,plain,
sdtasdt0(xN,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2533]) ).
tcf(c_10549,plain,
sdtasdt0(xN,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2533]) ).
tcf(c_10550,plain,
sdtasdt0(xN,smndt0(smndt0(xN))) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2533]) ).
tcf(c_10551,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2533]) ).
tcf(c_10552,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2533]) ).
tcf(c_10553,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2533]) ).
tcf(c_10554,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2533]) ).
tcf(c_10555,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2533]) ).
tcf(c_10556,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2533]) ).
tcf(c_10557,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2533]) ).
tcf(c_10558,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2533]) ).
tcf(c_10559,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2533]) ).
tcf(c_10560,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2533]) ).
tcf(c_10561,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2533]) ).
tcf(c_10562,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2533]) ).
tcf(c_10563,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2533]) ).
tcf(c_10564,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2533]) ).
tcf(c_10565,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2533]) ).
tcf(c_10566,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2533]) ).
tcf(c_10567,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2533]) ).
tcf(c_10568,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2533]) ).
tcf(c_10569,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2533]) ).
tcf(c_10570,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2533]) ).
tcf(c_10571,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2533]) ).
tcf(c_10572,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2533]) ).
tcf(c_10573,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2533]) ).
tcf(c_10574,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2533]) ).
tcf(c_10575,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2533]) ).
tcf(c_10576,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2533]) ).
tcf(c_10577,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2533]) ).
tcf(c_10578,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2533]) ).
tcf(c_10579,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2533]) ).
tcf(c_10580,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2533]) ).
tcf(c_10581,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2533]) ).
tcf(c_10582,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2533]) ).
tcf(c_10583,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2533]) ).
tcf(c_10584,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2533]) ).
tcf(c_10585,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2533]) ).
tcf(c_10586,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2533]) ).
tcf(c_10587,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2533]) ).
tcf(c_10588,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2533]) ).
tcf(c_10589,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2533]) ).
tcf(c_10590,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2533]) ).
tcf(c_10591,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2533]) ).
tcf(c_10592,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2533]) ).
tcf(c_10593,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2533]) ).
tcf(c_10594,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2533]) ).
tcf(c_10595,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2533]) ).
tcf(c_10596,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2533]) ).
tcf(c_10597,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2533]) ).
tcf(c_10598,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2533]) ).
tcf(c_10599,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2533]) ).
tcf(c_10600,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2533]) ).
tcf(c_10601,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2533]) ).
tcf(c_10602,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2533]) ).
tcf(c_10603,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2533]) ).
tcf(c_10604,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2533]) ).
tcf(c_10605,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2533]) ).
tcf(c_10634,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xS)))
| ~ aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1246]) ).
tcf(c_10899,plain,
sdtasdt0(xR,smndt0(xS)) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_9450,c_9675]) ).
tcf(c_10902,plain,
sdtasdt0(smndt0(xS),xR) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_9450,c_8135]) ).
tcf(c_10906,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9450,c_5180]) ).
tcf(c_10907,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9450,c_5179]) ).
tcf(c_10908,plain,
smndt0(sdtasdt0(xR,smndt0(xS))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9450,c_5181]) ).
tcf(c_10928,plain,
smndt0(sdtasdt0(xN,smndt0(xS))) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_6554,c_9483]) ).
tcf(c_10930,plain,
smndt0(sdtasdt0(xN,smndt0(xN))) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_6557,c_9490]) ).
tcf(c_10944,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9674,c_5320]) ).
tcf(c_10945,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9674,c_5319]) ).
tcf(c_10956,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6459,c_10221]) ).
tcf(c_10957,plain,
smndt0(sdtasdt0(xN,sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6262,c_10221]) ).
tcf(c_10968,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10957,c_6380]) ).
tcf(c_10979,plain,
smndt0(sdtasdt0(smndt0(xS),xR)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_10438,c_7524]) ).
tcf(c_10999,plain,
smndt0(sdtasdt0(xS,smndt0(xR))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_10509,c_7524]) ).
tcf(c_11009,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(xN,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_10541,c_6488]) ).
tcf(c_11010,plain,
sdtpldt0(sdtasdt0(xN,xR),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_10541,c_6487]) ).
tcf(c_11022,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(xN,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_10542,c_6577]) ).
tcf(c_11023,plain,
sdtpldt0(sdtasdt0(xN,xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_10542,c_6576]) ).
tcf(c_11039,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_10543,c_6296]) ).
tcf(c_11040,plain,
sdtpldt0(sdtasdt0(xN,xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_10543,c_6295]) ).
tcf(c_11072,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2578]) ).
tcf(c_11073,plain,
sdtasdt0(sz0z00,smndt0(xR)) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_1177,c_2578]) ).
tcf(c_11074,plain,
sdtasdt0(sz0z00,smndt0(xS)) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_1173,c_2578]) ).
tcf(c_11075,plain,
sdtasdt0(sz0z00,smndt0(xN)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_1171,c_2578]) ).
tcf(c_11076,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2578]) ).
tcf(c_11077,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_1245,c_2578]) ).
tcf(c_11078,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_1246,c_2578]) ).
tcf(c_11079,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_1247,c_2578]) ).
tcf(c_11080,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2578]) ).
tcf(c_11081,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2578]) ).
tcf(c_11082,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2578]) ).
tcf(c_11083,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2578]) ).
tcf(c_11084,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2578]) ).
tcf(c_11085,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2578]) ).
tcf(c_11086,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2578]) ).
tcf(c_11087,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2578]) ).
tcf(c_11088,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2578]) ).
tcf(c_11089,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2578]) ).
tcf(c_11090,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2578]) ).
tcf(c_11091,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2578]) ).
tcf(c_11092,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2578]) ).
tcf(c_11093,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2578]) ).
tcf(c_11094,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2578]) ).
tcf(c_11095,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2578]) ).
tcf(c_11096,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2578]) ).
tcf(c_11097,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2578]) ).
tcf(c_11098,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2578]) ).
tcf(c_11099,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2578]) ).
tcf(c_11100,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2578]) ).
tcf(c_11101,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2578]) ).
tcf(c_11102,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2578]) ).
tcf(c_11103,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2578]) ).
tcf(c_11104,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2578]) ).
tcf(c_11105,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2578]) ).
tcf(c_11106,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2578]) ).
tcf(c_11107,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2578]) ).
tcf(c_11108,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2578]) ).
tcf(c_11109,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2578]) ).
tcf(c_11110,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2578]) ).
tcf(c_11111,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2578]) ).
tcf(c_11112,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2578]) ).
tcf(c_11113,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2578]) ).
tcf(c_11114,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2578]) ).
tcf(c_11115,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2578]) ).
tcf(c_11116,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2578]) ).
tcf(c_11117,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2578]) ).
tcf(c_11118,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2578]) ).
tcf(c_11119,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2578]) ).
tcf(c_11120,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2578]) ).
tcf(c_11121,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2578]) ).
tcf(c_11122,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2578]) ).
tcf(c_11123,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2578]) ).
tcf(c_11124,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2578]) ).
tcf(c_11125,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2578]) ).
tcf(c_11126,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2578]) ).
tcf(c_11127,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2578]) ).
tcf(c_11128,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2578]) ).
tcf(c_11129,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2578]) ).
tcf(c_11130,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2578]) ).
tcf(c_11131,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2578]) ).
tcf(c_11132,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2578]) ).
tcf(c_11133,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2578]) ).
tcf(c_11134,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2578]) ).
tcf(c_11135,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2578]) ).
tcf(c_11136,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2578]) ).
tcf(c_11137,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2578]) ).
tcf(c_11424,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10540,c_6380]) ).
tcf(c_11425,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10540,c_6379]) ).
tcf(c_11465,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_10999,c_5666]) ).
tcf(c_11466,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(sz0z00,sz0z00)) ),
inference(superposition,[status(thm)],[c_11072,c_1245]) ).
tcf(c_11467,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xR)))
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11073,c_1245]) ).
tcf(c_11468,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xS)))
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11074,c_1245]) ).
tcf(c_11488,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xN)))
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11075,c_1245]) ).
tcf(c_11489,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_11466,c_56,c_160,c_11466]) ).
tcf(c_11491,plain,
aScalar0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_1161,c_11489]) ).
tcf(c_11492,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2578]) ).
tcf(c_11493,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2533]) ).
tcf(c_11494,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2532]) ).
tcf(c_11495,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2531]) ).
tcf(c_11496,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2512]) ).
tcf(c_11497,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2511]) ).
tcf(c_11498,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2510]) ).
tcf(c_11499,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2485]) ).
tcf(c_11500,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2484]) ).
tcf(c_11501,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2483]) ).
tcf(c_11502,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_11489,c_2440]) ).
tcf(c_11503,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11489,c_2432]) ).
tcf(c_11504,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_11489,c_1231]) ).
tcf(c_11505,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_11489,c_1233]) ).
tcf(c_11506,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_11489,c_1232]) ).
tcf(c_11507,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_11489,c_1237]) ).
tcf(c_11508,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_11489,c_1235]) ).
tcf(c_11509,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2427]) ).
tcf(c_11510,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_11489,c_1230]) ).
tcf(c_11511,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_11489,c_1229]) ).
tcf(c_11512,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_11489,c_1228]) ).
tcf(c_11513,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11489,c_1240]) ).
tcf(c_11514,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11489,c_1239]) ).
tcf(c_11515,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_11489,c_1238]) ).
tcf(c_11646,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2578]) ).
tcf(c_11647,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2533]) ).
tcf(c_11648,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2532]) ).
tcf(c_11649,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2531]) ).
tcf(c_11650,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2512]) ).
tcf(c_11651,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2511]) ).
tcf(c_11652,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2510]) ).
tcf(c_11653,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(xN,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2485]) ).
tcf(c_11654,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(xS,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2484]) ).
tcf(c_11655,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(xR,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2483]) ).
tcf(c_11656,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11491,c_2440]) ).
tcf(c_11657,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11491,c_2432]) ).
tcf(c_11658,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_11491,c_1231]) ).
tcf(c_11659,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_11491,c_1233]) ).
tcf(c_11660,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_11491,c_1232]) ).
tcf(c_11661,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_11491,c_1237]) ).
tcf(c_11662,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_11491,c_1235]) ).
tcf(c_11663,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2427]) ).
tcf(c_11664,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_11491,c_1230]) ).
tcf(c_11665,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_11491,c_1229]) ).
tcf(c_11666,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_11491,c_1228]) ).
tcf(c_11667,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11491,c_1240]) ).
tcf(c_11668,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_11491,c_1239]) ).
tcf(c_11669,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11491,c_1238]) ).
tcf(c_11740,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_11465,c_4088]) ).
tcf(c_11741,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_11465,c_4087]) ).
tcf(c_11755,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2578]) ).
tcf(c_11756,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2533]) ).
tcf(c_11757,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2532]) ).
tcf(c_11758,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2531]) ).
tcf(c_11759,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2512]) ).
tcf(c_11760,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2511]) ).
tcf(c_11761,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2510]) ).
tcf(c_11762,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2485]) ).
tcf(c_11763,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2484]) ).
tcf(c_11764,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2483]) ).
tcf(c_11765,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2440]) ).
tcf(c_11766,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2432]) ).
tcf(c_11767,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_11467,c_1231]) ).
tcf(c_11768,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_11467,c_1233]) ).
tcf(c_11769,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_11467,c_1232]) ).
tcf(c_11770,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_11467,c_1237]) ).
tcf(c_11771,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_11467,c_1235]) ).
tcf(c_11772,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2427]) ).
tcf(c_11773,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_11467,c_1230]) ).
tcf(c_11774,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_11467,c_1229]) ).
tcf(c_11775,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_11467,c_1228]) ).
tcf(c_11776,plain,
( ( sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_1240]) ).
tcf(c_11777,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_1239]) ).
tcf(c_11778,plain,
( ( smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_1238]) ).
tcf(c_11873,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2578]) ).
tcf(c_11874,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2533]) ).
tcf(c_11875,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2532]) ).
tcf(c_11876,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2531]) ).
tcf(c_11877,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2512]) ).
tcf(c_11878,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2511]) ).
tcf(c_11879,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2510]) ).
tcf(c_11880,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2485]) ).
tcf(c_11881,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2484]) ).
tcf(c_11882,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2483]) ).
tcf(c_11883,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2440]) ).
tcf(c_11884,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2432]) ).
tcf(c_11885,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_11468,c_1231]) ).
tcf(c_11886,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_11468,c_1233]) ).
tcf(c_11887,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_11468,c_1232]) ).
tcf(c_11888,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_11468,c_1237]) ).
tcf(c_11889,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_11468,c_1235]) ).
tcf(c_11890,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2427]) ).
tcf(c_11891,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_11468,c_1230]) ).
tcf(c_11892,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_11468,c_1229]) ).
tcf(c_11893,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_11468,c_1228]) ).
tcf(c_11894,plain,
( ( sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_1240]) ).
tcf(c_11895,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_1239]) ).
tcf(c_11896,plain,
( ( smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_1238]) ).
tcf(c_12001,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2578]) ).
tcf(c_12002,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2533]) ).
tcf(c_12003,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2532]) ).
tcf(c_12004,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2531]) ).
tcf(c_12005,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2512]) ).
tcf(c_12006,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2511]) ).
tcf(c_12007,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2510]) ).
tcf(c_12008,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2485]) ).
tcf(c_12009,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2484]) ).
tcf(c_12010,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2483]) ).
tcf(c_12011,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2440]) ).
tcf(c_12012,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2432]) ).
tcf(c_12013,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_11488,c_1231]) ).
tcf(c_12014,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_11488,c_1233]) ).
tcf(c_12015,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_11488,c_1232]) ).
tcf(c_12016,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_11488,c_1237]) ).
tcf(c_12017,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_11488,c_1235]) ).
tcf(c_12018,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2427]) ).
tcf(c_12019,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_11488,c_1230]) ).
tcf(c_12020,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_11488,c_1229]) ).
tcf(c_12021,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_11488,c_1228]) ).
tcf(c_12022,plain,
( ( sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_1240]) ).
tcf(c_12023,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_1239]) ).
tcf(c_12024,plain,
( ( smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_1238]) ).
tcf(c_12052,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11072,c_11669]) ).
tcf(c_12113,plain,
smndt0(sdtasdt0(sz0z00,sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_1161,c_12052]) ).
tcf(c_12115,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11072,c_12113]) ).
tcf(c_12126,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_10438,c_7522]) ).
tcf(c_12130,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),xN) = sz0z00,
inference(superposition,[status(thm)],[c_1170,c_7522]) ).
tcf(c_12132,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),xN) = sz0z00,
inference(superposition,[status(thm)],[c_10509,c_12130]) ).
tcf(c_12133,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),xN) = sz0z00,
inference(superposition,[status(thm)],[c_10438,c_12130]) ).
tcf(c_12135,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),xN) = sz0z00,
inference(superposition,[status(thm)],[c_4067,c_12130]) ).
tcf(c_12137,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12113,c_11667]) ).
tcf(c_12138,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11072,c_11667]) ).
tcf(c_12141,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_11072,c_11668]) ).
tcf(c_12147,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2579]) ).
tcf(c_12148,plain,
sdtasdt0(smndt0(sz0z00),xR) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_1177,c_2579]) ).
tcf(c_12149,plain,
sdtasdt0(smndt0(sz0z00),xS) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_1173,c_2579]) ).
tcf(c_12150,plain,
sdtasdt0(smndt0(sz0z00),xN) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_1171,c_2579]) ).
tcf(c_12151,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2579]) ).
tcf(c_12152,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2579]) ).
tcf(c_12153,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_1245,c_2579]) ).
tcf(c_12154,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_1246,c_2579]) ).
tcf(c_12155,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_1247,c_2579]) ).
tcf(c_12156,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2579]) ).
tcf(c_12157,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2579]) ).
tcf(c_12158,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2579]) ).
tcf(c_12159,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2579]) ).
tcf(c_12160,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2579]) ).
tcf(c_12161,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2579]) ).
tcf(c_12162,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2579]) ).
tcf(c_12163,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2579]) ).
tcf(c_12164,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2579]) ).
tcf(c_12165,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2579]) ).
tcf(c_12166,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2579]) ).
tcf(c_12167,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2579]) ).
tcf(c_12168,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2579]) ).
tcf(c_12169,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2579]) ).
tcf(c_12170,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2579]) ).
tcf(c_12171,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2579]) ).
tcf(c_12172,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2579]) ).
tcf(c_12173,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2579]) ).
tcf(c_12174,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2579]) ).
tcf(c_12175,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2579]) ).
tcf(c_12176,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2579]) ).
tcf(c_12177,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2579]) ).
tcf(c_12178,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2579]) ).
tcf(c_12179,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2579]) ).
tcf(c_12180,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2579]) ).
tcf(c_12181,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2579]) ).
tcf(c_12182,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2579]) ).
tcf(c_12183,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2579]) ).
tcf(c_12184,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2579]) ).
tcf(c_12185,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2579]) ).
tcf(c_12186,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2579]) ).
tcf(c_12187,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2579]) ).
tcf(c_12188,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2579]) ).
tcf(c_12189,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2579]) ).
tcf(c_12190,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2579]) ).
tcf(c_12191,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2579]) ).
tcf(c_12192,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2579]) ).
tcf(c_12193,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2579]) ).
tcf(c_12194,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2579]) ).
tcf(c_12195,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2579]) ).
tcf(c_12196,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2579]) ).
tcf(c_12197,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2579]) ).
tcf(c_12198,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2579]) ).
tcf(c_12199,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2579]) ).
tcf(c_12200,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2579]) ).
tcf(c_12201,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2579]) ).
tcf(c_12202,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2579]) ).
tcf(c_12203,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2579]) ).
tcf(c_12204,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2579]) ).
tcf(c_12205,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2579]) ).
tcf(c_12206,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2579]) ).
tcf(c_12207,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2579]) ).
tcf(c_12208,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2579]) ).
tcf(c_12209,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2579]) ).
tcf(c_12210,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2579]) ).
tcf(c_12211,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2579]) ).
tcf(c_12212,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2579]) ).
tcf(c_12213,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2579]) ).
tcf(c_12214,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2579]) ).
tcf(c_12215,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11467,c_2579]) ).
tcf(c_12216,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11468,c_2579]) ).
tcf(c_12217,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11488,c_2579]) ).
tcf(c_12427,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12147,c_11668]) ).
tcf(c_12428,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12147,c_11667]) ).
tcf(c_12429,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_12147,c_12113]) ).
tcf(c_12430,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_12147,c_11669]) ).
tcf(c_12431,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_12147,c_11072]) ).
tcf(c_12432,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),sz0z00))
| ~ aScalar0(sdtasdt0(sz0z00,sz0z00)) ),
inference(superposition,[status(thm)],[c_12147,c_1245]) ).
tcf(c_12471,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),xR))
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12148,c_1245]) ).
tcf(c_12472,plain,
sdtasdt0(smndt0(sz0z00),xR) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_12148,c_11073]) ).
tcf(c_12474,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),xS))
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12149,c_1245]) ).
tcf(c_12475,plain,
sdtasdt0(smndt0(sz0z00),xS) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_12149,c_11074]) ).
tcf(c_12477,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),xN))
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12150,c_1245]) ).
tcf(c_12478,plain,
sdtasdt0(smndt0(sz0z00),xN) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_12150,c_11075]) ).
tcf(c_12486,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_12432,c_56,c_160,c_12432]) ).
tcf(c_12491,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2579]) ).
tcf(c_12492,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2578]) ).
tcf(c_12493,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2533]) ).
tcf(c_12494,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2532]) ).
tcf(c_12495,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2531]) ).
tcf(c_12496,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2512]) ).
tcf(c_12497,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2511]) ).
tcf(c_12498,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2510]) ).
tcf(c_12499,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2485]) ).
tcf(c_12500,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2484]) ).
tcf(c_12501,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2483]) ).
tcf(c_12502,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_12486,c_2440]) ).
tcf(c_12503,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12486,c_2432]) ).
tcf(c_12504,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_12486,c_1231]) ).
tcf(c_12505,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_12486,c_1233]) ).
tcf(c_12506,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_12486,c_1232]) ).
tcf(c_12507,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_12486,c_1237]) ).
tcf(c_12508,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_12486,c_1235]) ).
tcf(c_12509,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2427]) ).
tcf(c_12510,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_12486,c_1230]) ).
tcf(c_12511,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_12486,c_1229]) ).
tcf(c_12512,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_12486,c_1228]) ).
tcf(c_12513,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12486,c_1240]) ).
tcf(c_12514,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12486,c_1239]) ).
tcf(c_12515,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_12486,c_1238]) ).
tcf(c_12588,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2579]) ).
tcf(c_12589,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2578]) ).
tcf(c_12590,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2533]) ).
tcf(c_12591,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2532]) ).
tcf(c_12592,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2531]) ).
tcf(c_12593,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2512]) ).
tcf(c_12594,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2511]) ).
tcf(c_12595,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2510]) ).
tcf(c_12596,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2485]) ).
tcf(c_12597,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2484]) ).
tcf(c_12598,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2483]) ).
tcf(c_12599,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2440]) ).
tcf(c_12600,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2432]) ).
tcf(c_12601,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_12471,c_1231]) ).
tcf(c_12602,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_12471,c_1233]) ).
tcf(c_12603,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_12471,c_1232]) ).
tcf(c_12604,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_12471,c_1237]) ).
tcf(c_12605,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_12471,c_1235]) ).
tcf(c_12606,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2427]) ).
tcf(c_12607,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_12471,c_1230]) ).
tcf(c_12608,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_12471,c_1229]) ).
tcf(c_12609,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_12471,c_1228]) ).
tcf(c_12610,plain,
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_1240]) ).
tcf(c_12611,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_1239]) ).
tcf(c_12612,plain,
( ( smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(sz0z00),xR) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_1238]) ).
tcf(c_12730,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2579]) ).
tcf(c_12731,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2578]) ).
tcf(c_12732,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2533]) ).
tcf(c_12733,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2532]) ).
tcf(c_12734,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2531]) ).
tcf(c_12735,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2512]) ).
tcf(c_12736,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2511]) ).
tcf(c_12737,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2510]) ).
tcf(c_12738,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2485]) ).
tcf(c_12739,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2484]) ).
tcf(c_12740,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2483]) ).
tcf(c_12741,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2440]) ).
tcf(c_12742,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2432]) ).
tcf(c_12743,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_12474,c_1231]) ).
tcf(c_12744,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_12474,c_1233]) ).
tcf(c_12745,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_12474,c_1232]) ).
tcf(c_12746,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_12474,c_1237]) ).
tcf(c_12747,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_12474,c_1235]) ).
tcf(c_12748,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2427]) ).
tcf(c_12749,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_12474,c_1230]) ).
tcf(c_12750,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_12474,c_1229]) ).
tcf(c_12751,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_12474,c_1228]) ).
tcf(c_12752,plain,
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_1240]) ).
tcf(c_12753,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_1239]) ).
tcf(c_12754,plain,
( ( smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(sz0z00),xS) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_1238]) ).
tcf(c_12780,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2579]) ).
tcf(c_12781,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2578]) ).
tcf(c_12782,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2533]) ).
tcf(c_12783,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2532]) ).
tcf(c_12784,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2531]) ).
tcf(c_12785,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2512]) ).
tcf(c_12786,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2511]) ).
tcf(c_12787,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2510]) ).
tcf(c_12788,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2485]) ).
tcf(c_12789,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2484]) ).
tcf(c_12790,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2483]) ).
tcf(c_12791,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2440]) ).
tcf(c_12792,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2432]) ).
tcf(c_12793,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_12477,c_1231]) ).
tcf(c_12794,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_12477,c_1233]) ).
tcf(c_12795,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_12477,c_1232]) ).
tcf(c_12796,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_12477,c_1237]) ).
tcf(c_12797,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_12477,c_1235]) ).
tcf(c_12798,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2427]) ).
tcf(c_12799,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_12477,c_1230]) ).
tcf(c_12800,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_12477,c_1229]) ).
tcf(c_12801,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_12477,c_1228]) ).
tcf(c_12802,plain,
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_1240]) ).
tcf(c_12803,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_1239]) ).
tcf(c_12804,plain,
( ( smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(sz0z00),xN) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_1238]) ).
tcf(c_12929,plain,
sdtasdt0(sz0z00,smndt0(xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_1161,c_12472]) ).
tcf(c_12930,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_12472,c_1246]) ).
tcf(c_12932,plain,
( aScalar0(sdtasdt0(sz0z00,xR))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_12929,c_1246]) ).
tcf(c_12934,plain,
sdtasdt0(sz0z00,smndt0(xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_1161,c_12475]) ).
tcf(c_12935,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_12475,c_1246]) ).
tcf(c_12937,plain,
( aScalar0(sdtasdt0(sz0z00,xS))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_12934,c_1246]) ).
tcf(c_12939,plain,
sdtasdt0(sz0z00,smndt0(xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_1161,c_12478]) ).
tcf(c_12940,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_12478,c_1246]) ).
tcf(c_12942,plain,
( aScalar0(sdtasdt0(sz0z00,xN))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_12939,c_1246]) ).
tcf(c_12945,plain,
sdtpldt0(xN,sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_1170,c_7523]) ).
tcf(c_12947,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_10438,c_7523]) ).
tcf(c_12951,plain,
sdtpldt0(xN,sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_10509,c_12945]) ).
tcf(c_12952,plain,
sdtpldt0(xN,sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_10438,c_12945]) ).
tcf(c_12954,plain,
sdtpldt0(xN,sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4067,c_12945]) ).
tcf(c_13031,plain,
aScalar0(sdtasdt0(sz0z00,xR)),
inference(global_subsumption_just,[status(thm)],[c_12932,c_129,c_56,c_2932,c_12932]) ).
tcf(c_13033,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2579]) ).
tcf(c_13034,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2578]) ).
tcf(c_13035,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2533]) ).
tcf(c_13036,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2532]) ).
tcf(c_13037,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2531]) ).
tcf(c_13038,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2512]) ).
tcf(c_13039,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2511]) ).
tcf(c_13040,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2510]) ).
tcf(c_13041,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(xN,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2485]) ).
tcf(c_13042,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(xS,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2484]) ).
tcf(c_13043,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(xR,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2483]) ).
tcf(c_13044,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_13031,c_2440]) ).
tcf(c_13045,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_13031,c_2432]) ).
tcf(c_13046,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_13031,c_1231]) ).
tcf(c_13047,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_13031,c_1233]) ).
tcf(c_13048,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_13031,c_1232]) ).
tcf(c_13049,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_13031,c_1237]) ).
tcf(c_13050,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_13031,c_1235]) ).
tcf(c_13051,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2427]) ).
tcf(c_13052,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_13031,c_1230]) ).
tcf(c_13053,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_13031,c_1229]) ).
tcf(c_13054,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_13031,c_1228]) ).
tcf(c_13055,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_13031,c_1240]) ).
tcf(c_13056,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_13031,c_1239]) ).
tcf(c_13057,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_13031,c_1238]) ).
tcf(c_13242,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_12148,c_13057]) ).
tcf(c_13243,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_11073,c_13057]) ).
tcf(c_13245,plain,
aScalar0(sdtasdt0(sz0z00,xS)),
inference(global_subsumption_just,[status(thm)],[c_12937,c_133,c_56,c_2525,c_12937]) ).
tcf(c_13247,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2579]) ).
tcf(c_13248,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2578]) ).
tcf(c_13249,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2533]) ).
tcf(c_13250,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2532]) ).
tcf(c_13251,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2531]) ).
tcf(c_13252,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2512]) ).
tcf(c_13253,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2511]) ).
tcf(c_13254,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2510]) ).
tcf(c_13255,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(xN,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2485]) ).
tcf(c_13256,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(xS,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2484]) ).
tcf(c_13257,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(xR,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2483]) ).
tcf(c_13258,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_13245,c_2440]) ).
tcf(c_13259,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_13245,c_2432]) ).
tcf(c_13260,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_13245,c_1231]) ).
tcf(c_13261,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_13245,c_1233]) ).
tcf(c_13262,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_13245,c_1232]) ).
tcf(c_13263,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_13245,c_1237]) ).
tcf(c_13264,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_13245,c_1235]) ).
tcf(c_13265,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2427]) ).
tcf(c_13266,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_13245,c_1230]) ).
tcf(c_13267,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_13245,c_1229]) ).
tcf(c_13268,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_13245,c_1228]) ).
tcf(c_13269,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_13245,c_1240]) ).
tcf(c_13270,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_13245,c_1239]) ).
tcf(c_13271,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_13245,c_1238]) ).
tcf(c_13391,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_12149,c_13271]) ).
tcf(c_13392,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_11074,c_13271]) ).
tcf(c_13395,plain,
smndt0(sdtasdt0(sz0z00,xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_1161,c_13242]) ).
tcf(c_13408,plain,
sdtasdt0(smndt0(sz0z00),xR) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_13395,c_12148]) ).
tcf(c_13435,plain,
smndt0(sdtasdt0(sz0z00,xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_1161,c_13391]) ).
tcf(c_13440,plain,
sdtasdt0(smndt0(sz0z00),xS) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_13435,c_12149]) ).
tcf(c_13461,plain,
aScalar0(sdtasdt0(sz0z00,xN)),
inference(global_subsumption_just,[status(thm)],[c_12942,c_133,c_129,c_56,c_2443,c_2525,c_12942]) ).
tcf(c_13463,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2579]) ).
tcf(c_13464,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2578]) ).
tcf(c_13465,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2533]) ).
tcf(c_13466,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2532]) ).
tcf(c_13467,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2531]) ).
tcf(c_13468,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2512]) ).
tcf(c_13469,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2511]) ).
tcf(c_13470,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2510]) ).
tcf(c_13471,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(xN,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2485]) ).
tcf(c_13472,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(xS,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2484]) ).
tcf(c_13473,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(xR,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2483]) ).
tcf(c_13474,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_13461,c_2440]) ).
tcf(c_13475,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_13461,c_2432]) ).
tcf(c_13476,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_13461,c_1231]) ).
tcf(c_13477,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_13461,c_1233]) ).
tcf(c_13478,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_13461,c_1232]) ).
tcf(c_13479,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_13461,c_1237]) ).
tcf(c_13480,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_13461,c_1235]) ).
tcf(c_13481,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2427]) ).
tcf(c_13482,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_13461,c_1230]) ).
tcf(c_13483,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_13461,c_1229]) ).
tcf(c_13484,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_13461,c_1228]) ).
tcf(c_13485,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_13461,c_1240]) ).
tcf(c_13486,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_13461,c_1239]) ).
tcf(c_13487,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_13461,c_1238]) ).
tcf(c_13619,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_12150,c_13487]) ).
tcf(c_13620,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_11075,c_13487]) ).
tcf(c_13622,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_13395,c_13055]) ).
tcf(c_13623,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_12148,c_13055]) ).
tcf(c_13624,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_11073,c_13055]) ).
tcf(c_13627,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_12148,c_13056]) ).
tcf(c_13628,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_11073,c_13056]) ).
tcf(c_13631,plain,
smndt0(sdtasdt0(sz0z00,xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_1161,c_13619]) ).
tcf(c_13636,plain,
sdtasdt0(smndt0(sz0z00),xN) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_13631,c_12150]) ).
tcf(c_13665,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_13435,c_13269]) ).
tcf(c_13666,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_12149,c_13269]) ).
tcf(c_13667,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_11074,c_13269]) ).
tcf(c_13670,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_12149,c_13270]) ).
tcf(c_13671,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_11074,c_13270]) ).
tcf(c_13673,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_13631,c_13485]) ).
tcf(c_13674,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_12150,c_13485]) ).
tcf(c_13675,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_11075,c_13485]) ).
tcf(c_13678,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_12150,c_13486]) ).
tcf(c_13679,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_11075,c_13486]) ).
tcf(c_13709,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_12930,c_129,c_56,c_147,c_12930]) ).
tcf(c_13712,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2579]) ).
tcf(c_13713,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2578]) ).
tcf(c_13714,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2533]) ).
tcf(c_13715,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2532]) ).
tcf(c_13716,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2531]) ).
tcf(c_13717,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2512]) ).
tcf(c_13718,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2511]) ).
tcf(c_13719,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2510]) ).
tcf(c_13720,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2485]) ).
tcf(c_13721,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2484]) ).
tcf(c_13722,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2483]) ).
tcf(c_13723,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_13709,c_2440]) ).
tcf(c_13724,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_13709,c_2432]) ).
tcf(c_13725,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_13709,c_1231]) ).
tcf(c_13726,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_13709,c_1233]) ).
tcf(c_13727,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_13709,c_1232]) ).
tcf(c_13728,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_13709,c_1237]) ).
tcf(c_13729,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_13709,c_1235]) ).
tcf(c_13730,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2427]) ).
tcf(c_13731,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_13709,c_1230]) ).
tcf(c_13732,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_13709,c_1229]) ).
tcf(c_13733,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_13709,c_1228]) ).
tcf(c_13734,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_13709,c_1240]) ).
tcf(c_13735,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_13709,c_1239]) ).
tcf(c_13736,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_13709,c_1238]) ).
tcf(c_13810,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_12935,c_133,c_56,c_147,c_12935]) ).
tcf(c_13813,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2579]) ).
tcf(c_13814,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2578]) ).
tcf(c_13815,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2533]) ).
tcf(c_13816,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2532]) ).
tcf(c_13817,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2531]) ).
tcf(c_13818,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2512]) ).
tcf(c_13819,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2511]) ).
tcf(c_13820,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2510]) ).
tcf(c_13821,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2485]) ).
tcf(c_13822,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2484]) ).
tcf(c_13823,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2483]) ).
tcf(c_13824,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_13810,c_2440]) ).
tcf(c_13825,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_13810,c_2432]) ).
tcf(c_13826,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_13810,c_1231]) ).
tcf(c_13827,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_13810,c_1233]) ).
tcf(c_13828,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_13810,c_1232]) ).
tcf(c_13829,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_13810,c_1237]) ).
tcf(c_13830,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_13810,c_1235]) ).
tcf(c_13831,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2427]) ).
tcf(c_13832,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_13810,c_1230]) ).
tcf(c_13833,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_13810,c_1229]) ).
tcf(c_13834,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_13810,c_1228]) ).
tcf(c_13835,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_13810,c_1240]) ).
tcf(c_13836,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_13810,c_1239]) ).
tcf(c_13837,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_13810,c_1238]) ).
tcf(c_13892,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_12940,c_135,c_56,c_147,c_12940]) ).
tcf(c_13895,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2579]) ).
tcf(c_13896,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2578]) ).
tcf(c_13897,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2533]) ).
tcf(c_13898,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2532]) ).
tcf(c_13899,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2531]) ).
tcf(c_13900,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2512]) ).
tcf(c_13901,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2511]) ).
tcf(c_13902,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2510]) ).
tcf(c_13903,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2485]) ).
tcf(c_13904,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2484]) ).
tcf(c_13905,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2483]) ).
tcf(c_13906,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_13892,c_2440]) ).
tcf(c_13907,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_13892,c_2432]) ).
tcf(c_13908,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_13892,c_1231]) ).
tcf(c_13909,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_13892,c_1233]) ).
tcf(c_13910,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_13892,c_1232]) ).
tcf(c_13911,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_13892,c_1237]) ).
tcf(c_13912,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_13892,c_1235]) ).
tcf(c_13913,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2427]) ).
tcf(c_13914,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_13892,c_1230]) ).
tcf(c_13915,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_13892,c_1229]) ).
tcf(c_13916,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_13892,c_1228]) ).
tcf(c_13917,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_13892,c_1240]) ).
tcf(c_13918,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_13892,c_1239]) ).
tcf(c_13919,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_13892,c_1238]) ).
tcf(c_14047,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2580]) ).
tcf(c_14048,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_1177,c_2580]) ).
tcf(c_14049,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_1173,c_2580]) ).
tcf(c_14050,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_1171,c_2580]) ).
tcf(c_14051,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2580]) ).
tcf(c_14052,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2580]) ).
tcf(c_14053,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_1245,c_2580]) ).
tcf(c_14054,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_1246,c_2580]) ).
tcf(c_14055,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_1247,c_2580]) ).
tcf(c_14056,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2580]) ).
tcf(c_14057,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2580]) ).
tcf(c_14058,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2580]) ).
tcf(c_14059,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2580]) ).
tcf(c_14060,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2580]) ).
tcf(c_14061,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(sz0z00,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2580]) ).
tcf(c_14062,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2580]) ).
tcf(c_14063,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2580]) ).
tcf(c_14064,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2580]) ).
tcf(c_14065,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2580]) ).
tcf(c_14066,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2580]) ).
tcf(c_14067,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2580]) ).
tcf(c_14068,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2580]) ).
tcf(c_14069,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2580]) ).
tcf(c_14070,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2580]) ).
tcf(c_14071,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2580]) ).
tcf(c_14072,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(sz0z00,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2580]) ).
tcf(c_14073,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2580]) ).
tcf(c_14074,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2580]) ).
tcf(c_14075,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2580]) ).
tcf(c_14076,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2580]) ).
tcf(c_14077,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2580]) ).
tcf(c_14078,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2580]) ).
tcf(c_14079,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2580]) ).
tcf(c_14080,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2580]) ).
tcf(c_14081,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2580]) ).
tcf(c_14082,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(sz0z00,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2580]) ).
tcf(c_14083,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2580]) ).
tcf(c_14084,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2580]) ).
tcf(c_14085,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2580]) ).
tcf(c_14086,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2580]) ).
tcf(c_14087,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2580]) ).
tcf(c_14088,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2580]) ).
tcf(c_14089,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2580]) ).
tcf(c_14090,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2580]) ).
tcf(c_14091,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2580]) ).
tcf(c_14092,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(sz0z00,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2580]) ).
tcf(c_14093,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(sz0z00,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2580]) ).
tcf(c_14094,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(sz0z00,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2580]) ).
tcf(c_14095,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2580]) ).
tcf(c_14096,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2580]) ).
tcf(c_14097,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2580]) ).
tcf(c_14098,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2580]) ).
tcf(c_14099,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2580]) ).
tcf(c_14100,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2580]) ).
tcf(c_14101,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2580]) ).
tcf(c_14102,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2580]) ).
tcf(c_14103,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2580]) ).
tcf(c_14104,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2580]) ).
tcf(c_14105,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2580]) ).
tcf(c_14106,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2580]) ).
tcf(c_14107,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2580]) ).
tcf(c_14108,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2580]) ).
tcf(c_14109,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2580]) ).
tcf(c_14110,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2580]) ).
tcf(c_14111,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2580]) ).
tcf(c_14112,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2580]) ).
tcf(c_14113,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2580]) ).
tcf(c_14114,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2580]) ).
tcf(c_14115,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2580]) ).
tcf(c_14117,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2580]) ).
tcf(c_14118,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2580]) ).
tcf(c_14120,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2580]) ).
tcf(c_14121,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2580]) ).
tcf(c_14123,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2580]) ).
tcf(c_14124,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2580]) ).
tcf(c_14125,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2580]) ).
tcf(c_14126,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2580]) ).
tcf(c_14127,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2580]) ).
tcf(c_14413,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2640]) ).
tcf(c_14414,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_1245,c_2640]) ).
tcf(c_14415,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_1246,c_2640]) ).
tcf(c_14416,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_1247,c_2640]) ).
tcf(c_14420,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = smndt0(smndt0(sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2445,c_2640]) ).
tcf(c_14426,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2640]) ).
tcf(c_14427,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2640]) ).
tcf(c_14428,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2640]) ).
tcf(c_14429,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2640]) ).
tcf(c_14430,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2640]) ).
tcf(c_14434,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2640]) ).
tcf(c_14435,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2640]) ).
tcf(c_14436,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2640]) ).
tcf(c_14437,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2640]) ).
tcf(c_14438,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2640]) ).
tcf(c_14439,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2640]) ).
tcf(c_14440,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2640]) ).
tcf(c_14441,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2640]) ).
tcf(c_14445,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2640]) ).
tcf(c_14446,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2640]) ).
tcf(c_14447,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2640]) ).
tcf(c_14448,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2640]) ).
tcf(c_14449,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2640]) ).
tcf(c_14450,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2640]) ).
tcf(c_14451,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2640]) ).
tcf(c_14456,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2640]) ).
tcf(c_14457,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2640]) ).
tcf(c_14458,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2640]) ).
tcf(c_14459,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2640]) ).
tcf(c_14460,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2640]) ).
tcf(c_14461,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2640]) ).
tcf(c_14462,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2640]) ).
tcf(c_14463,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2640]) ).
tcf(c_14464,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2640]) ).
tcf(c_14465,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2640]) ).
tcf(c_14466,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2640]) ).
tcf(c_14467,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2640]) ).
tcf(c_14468,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2640]) ).
tcf(c_14469,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2640]) ).
tcf(c_14470,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2640]) ).
tcf(c_14471,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2640]) ).
tcf(c_14472,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2640]) ).
tcf(c_14473,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2640]) ).
tcf(c_14474,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2640]) ).
tcf(c_14475,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2640]) ).
tcf(c_14476,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2640]) ).
tcf(c_14478,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = smndt0(smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2640]) ).
tcf(c_14479,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2640]) ).
tcf(c_14481,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = smndt0(smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2640]) ).
tcf(c_14482,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2640]) ).
tcf(c_14484,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = smndt0(smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2640]) ).
tcf(c_14485,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2640]) ).
tcf(c_14486,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12471,c_2640]) ).
tcf(c_14487,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12474,c_2640]) ).
tcf(c_14488,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12477,c_2640]) ).
tcf(c_14855,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4043,c_7335]) ).
tcf(c_14857,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(xR,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_7335,c_1245]) ).
tcf(c_14858,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7335,c_4282]) ).
tcf(c_14859,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7335,c_4281]) ).
tcf(c_14861,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_7335,c_4283]) ).
tcf(c_14884,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(xR)))
| ~ aScalar0(sdtasdt0(xR,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_7339,c_1245]) ).
tcf(c_14885,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7339,c_4355]) ).
tcf(c_14886,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7339,c_4354]) ).
tcf(c_14888,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xR))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_7339,c_4356]) ).
tcf(c_14902,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_14857,c_129,c_56,c_2932,c_3158,c_4040,c_14857]) ).
tcf(c_14907,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2640]) ).
tcf(c_14908,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2580]) ).
tcf(c_14909,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2579]) ).
tcf(c_14910,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2578]) ).
tcf(c_14911,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2533]) ).
tcf(c_14912,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2532]) ).
tcf(c_14913,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2531]) ).
tcf(c_14914,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2512]) ).
tcf(c_14915,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2511]) ).
tcf(c_14916,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2510]) ).
tcf(c_14917,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2485]) ).
tcf(c_14918,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2484]) ).
tcf(c_14919,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2483]) ).
tcf(c_14920,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_14902,c_2440]) ).
tcf(c_14921,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_14902,c_2432]) ).
tcf(c_14922,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_14902,c_1231]) ).
tcf(c_14923,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_14902,c_1233]) ).
tcf(c_14924,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_14902,c_1232]) ).
tcf(c_14925,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_14902,c_1237]) ).
tcf(c_14926,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_14902,c_1235]) ).
tcf(c_14927,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2427]) ).
tcf(c_14928,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_14902,c_1230]) ).
tcf(c_14929,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_14902,c_1229]) ).
tcf(c_14930,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_14902,c_1228]) ).
tcf(c_14931,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_14902,c_1240]) ).
tcf(c_14932,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_14902,c_1239]) ).
tcf(c_14933,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_14902,c_1238]) ).
tcf(c_15012,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_14884,c_129,c_2932,c_3241,c_4065,c_14884]) ).
tcf(c_15015,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2640]) ).
tcf(c_15016,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2580]) ).
tcf(c_15017,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2579]) ).
tcf(c_15018,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2578]) ).
tcf(c_15019,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2533]) ).
tcf(c_15020,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2532]) ).
tcf(c_15021,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2531]) ).
tcf(c_15022,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2512]) ).
tcf(c_15023,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2511]) ).
tcf(c_15024,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2510]) ).
tcf(c_15025,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2485]) ).
tcf(c_15026,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2484]) ).
tcf(c_15027,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2483]) ).
tcf(c_15028,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_15012,c_2440]) ).
tcf(c_15029,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_15012,c_2432]) ).
tcf(c_15030,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_15012,c_1231]) ).
tcf(c_15031,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_15012,c_1233]) ).
tcf(c_15032,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_15012,c_1232]) ).
tcf(c_15033,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_15012,c_1237]) ).
tcf(c_15034,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_15012,c_1235]) ).
tcf(c_15035,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2427]) ).
tcf(c_15036,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_15012,c_1230]) ).
tcf(c_15037,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_15012,c_1229]) ).
tcf(c_15038,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_15012,c_1228]) ).
tcf(c_15039,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_15012,c_1240]) ).
tcf(c_15040,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),sdtasdt0(smndt0(xR),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_15012,c_1239]) ).
tcf(c_15041,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xR),smndt0(xR)),
inference(superposition,[status(thm)],[c_15012,c_1238]) ).
tcf(c_15110,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_10899,c_7340]) ).
tcf(c_15111,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1167,c_7340]) ).
tcf(c_15112,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(xS)))
| ~ aScalar0(sdtasdt0(xR,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_7340,c_1245]) ).
tcf(c_15113,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7340,c_4457]) ).
tcf(c_15114,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7340,c_4456]) ).
tcf(c_15115,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_7340,c_10908]) ).
tcf(c_15117,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_7340,c_4458]) ).
tcf(c_15148,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xR,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_7341,c_1245]) ).
tcf(c_15149,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7341,c_4553]) ).
tcf(c_15150,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7341,c_4552]) ).
tcf(c_15152,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xN))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_7341,c_4554]) ).
tcf(c_15180,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5405,c_8138]) ).
tcf(c_15182,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(xS,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_8138,c_1245]) ).
tcf(c_15183,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8138,c_5570]) ).
tcf(c_15185,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8138,c_5572]) ).
tcf(c_15186,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_15112,c_133,c_129,c_2525,c_2932,c_3303,c_4068,c_15112]) ).
tcf(c_15191,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2640]) ).
tcf(c_15192,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2580]) ).
tcf(c_15193,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2579]) ).
tcf(c_15194,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2578]) ).
tcf(c_15195,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2533]) ).
tcf(c_15196,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2532]) ).
tcf(c_15197,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2531]) ).
tcf(c_15198,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2512]) ).
tcf(c_15199,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2511]) ).
tcf(c_15200,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2510]) ).
tcf(c_15201,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2485]) ).
tcf(c_15202,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2484]) ).
tcf(c_15203,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2483]) ).
tcf(c_15204,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_15186,c_2440]) ).
tcf(c_15205,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_15186,c_2432]) ).
tcf(c_15206,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_15186,c_1231]) ).
tcf(c_15207,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_15186,c_1233]) ).
tcf(c_15208,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_15186,c_1232]) ).
tcf(c_15209,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_15186,c_1237]) ).
tcf(c_15210,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_15186,c_1235]) ).
tcf(c_15211,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2427]) ).
tcf(c_15212,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_15186,c_1230]) ).
tcf(c_15213,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_15186,c_1229]) ).
tcf(c_15214,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_15186,c_1228]) ).
tcf(c_15215,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_15186,c_1240]) ).
tcf(c_15216,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_15186,c_1239]) ).
tcf(c_15217,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_15186,c_1238]) ).
tcf(c_15291,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_15148,c_133,c_129,c_2443,c_2525,c_2932,c_3100,c_4167,c_15148]) ).
tcf(c_15294,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2640]) ).
tcf(c_15295,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2580]) ).
tcf(c_15296,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2579]) ).
tcf(c_15297,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2578]) ).
tcf(c_15298,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2533]) ).
tcf(c_15299,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2532]) ).
tcf(c_15300,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2531]) ).
tcf(c_15301,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2512]) ).
tcf(c_15302,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2511]) ).
tcf(c_15303,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2510]) ).
tcf(c_15304,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2485]) ).
tcf(c_15305,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2484]) ).
tcf(c_15306,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2483]) ).
tcf(c_15307,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_15291,c_2440]) ).
tcf(c_15308,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_15291,c_2432]) ).
tcf(c_15309,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_15291,c_1231]) ).
tcf(c_15310,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_15291,c_1233]) ).
tcf(c_15311,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_15291,c_1232]) ).
tcf(c_15312,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_15291,c_1237]) ).
tcf(c_15313,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_15291,c_1235]) ).
tcf(c_15314,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2427]) ).
tcf(c_15315,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_15291,c_1230]) ).
tcf(c_15316,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_15291,c_1229]) ).
tcf(c_15317,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_15291,c_1228]) ).
tcf(c_15318,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_15291,c_1240]) ).
tcf(c_15319,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),sdtasdt0(smndt0(xR),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_15291,c_1239]) ).
tcf(c_15320,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xR),smndt0(xN)),
inference(superposition,[status(thm)],[c_15291,c_1238]) ).
tcf(c_15465,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_15182,c_133,c_56,c_2525,c_3158,c_5402,c_15182]) ).
tcf(c_15469,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2640]) ).
tcf(c_15470,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2580]) ).
tcf(c_15471,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2579]) ).
tcf(c_15472,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2578]) ).
tcf(c_15473,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2533]) ).
tcf(c_15474,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2532]) ).
tcf(c_15475,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2531]) ).
tcf(c_15476,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2512]) ).
tcf(c_15477,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2511]) ).
tcf(c_15478,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2510]) ).
tcf(c_15479,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2485]) ).
tcf(c_15480,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2484]) ).
tcf(c_15481,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2483]) ).
tcf(c_15482,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_15465,c_2440]) ).
tcf(c_15483,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_15465,c_2432]) ).
tcf(c_15484,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_15465,c_1231]) ).
tcf(c_15485,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_15465,c_1233]) ).
tcf(c_15486,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_15465,c_1232]) ).
tcf(c_15487,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_15465,c_1237]) ).
tcf(c_15488,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_15465,c_1235]) ).
tcf(c_15489,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2427]) ).
tcf(c_15490,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_15465,c_1230]) ).
tcf(c_15491,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_15465,c_1229]) ).
tcf(c_15492,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_15465,c_1228]) ).
tcf(c_15493,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_15465,c_1240]) ).
tcf(c_15494,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_15465,c_1239]) ).
tcf(c_15495,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_15465,c_1238]) ).
tcf(c_15695,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8138,c_5571]) ).
tcf(c_15719,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_5462,c_8142]) ).
tcf(c_15720,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xR)))
| ~ aScalar0(sdtasdt0(xS,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_8142,c_1245]) ).
tcf(c_15721,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_8142,c_10999]) ).
tcf(c_15723,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_8142,c_5666]) ).
tcf(c_15771,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xS)))
| ~ aScalar0(sdtasdt0(xS,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_8143,c_1245]) ).
tcf(c_15772,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xS))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_8143,c_5745]) ).
tcf(c_15774,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xS,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_8144,c_1245]) ).
tcf(c_15776,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xN))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8144,c_5841]) ).
tcf(c_15793,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_10979,c_8454]) ).
tcf(c_15827,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_15720,c_133,c_129,c_2525,c_2932,c_3241,c_5461,c_15720]) ).
tcf(c_15832,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2640]) ).
tcf(c_15833,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2580]) ).
tcf(c_15834,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2579]) ).
tcf(c_15835,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2578]) ).
tcf(c_15836,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2533]) ).
tcf(c_15837,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2532]) ).
tcf(c_15838,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2531]) ).
tcf(c_15839,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2512]) ).
tcf(c_15840,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2511]) ).
tcf(c_15841,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2510]) ).
tcf(c_15842,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2485]) ).
tcf(c_15843,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2484]) ).
tcf(c_15844,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2483]) ).
tcf(c_15845,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_15827,c_2440]) ).
tcf(c_15846,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_15827,c_2432]) ).
tcf(c_15847,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_15827,c_1231]) ).
tcf(c_15848,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_15827,c_1233]) ).
tcf(c_15849,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_15827,c_1232]) ).
tcf(c_15850,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_15827,c_1237]) ).
tcf(c_15851,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_15827,c_1235]) ).
tcf(c_15852,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2427]) ).
tcf(c_15853,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_15827,c_1230]) ).
tcf(c_15854,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_15827,c_1229]) ).
tcf(c_15855,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_15827,c_1228]) ).
tcf(c_15856,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_15827,c_1240]) ).
tcf(c_15857,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_15827,c_1239]) ).
tcf(c_15858,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_15827,c_1238]) ).
tcf(c_16154,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_15771,c_133,c_2525,c_10634]) ).
tcf(c_16156,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_1165,c_16154]) ).
tcf(c_16157,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2640]) ).
tcf(c_16158,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2580]) ).
tcf(c_16159,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2579]) ).
tcf(c_16160,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2578]) ).
tcf(c_16161,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2533]) ).
tcf(c_16162,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2532]) ).
tcf(c_16163,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2531]) ).
tcf(c_16164,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2512]) ).
tcf(c_16165,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2511]) ).
tcf(c_16166,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2510]) ).
tcf(c_16167,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2485]) ).
tcf(c_16168,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2484]) ).
tcf(c_16169,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2483]) ).
tcf(c_16170,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_16154,c_2440]) ).
tcf(c_16171,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16154,c_2432]) ).
tcf(c_16172,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_16154,c_1231]) ).
tcf(c_16173,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_16154,c_1233]) ).
tcf(c_16174,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_16154,c_1232]) ).
tcf(c_16175,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_16154,c_1237]) ).
tcf(c_16176,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_16154,c_1235]) ).
tcf(c_16177,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2427]) ).
tcf(c_16178,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_16154,c_1230]) ).
tcf(c_16179,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_16154,c_1229]) ).
tcf(c_16180,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_16154,c_1228]) ).
tcf(c_16181,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16154,c_1240]) ).
tcf(c_16182,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),sdtasdt0(smndt0(xS),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_16154,c_1239]) ).
tcf(c_16183,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(superposition,[status(thm)],[c_16154,c_1238]) ).
tcf(c_16310,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = smndt0(smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2640]) ).
tcf(c_16311,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2580]) ).
tcf(c_16312,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2579]) ).
tcf(c_16313,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2578]) ).
tcf(c_16314,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2533]) ).
tcf(c_16315,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2532]) ).
tcf(c_16316,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2531]) ).
tcf(c_16317,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2512]) ).
tcf(c_16318,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2511]) ).
tcf(c_16319,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2510]) ).
tcf(c_16320,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xN,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2485]) ).
tcf(c_16321,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2484]) ).
tcf(c_16322,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xR,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2483]) ).
tcf(c_16323,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16156,c_2440]) ).
tcf(c_16324,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(sdtasdt0(xS,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_16156,c_2432]) ).
tcf(c_16325,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_16156,c_1231]) ).
tcf(c_16326,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_16156,c_1233]) ).
tcf(c_16327,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_16156,c_1232]) ).
tcf(c_16328,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_16156,c_1237]) ).
tcf(c_16329,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_16156,c_1235]) ).
tcf(c_16330,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2427]) ).
tcf(c_16331,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_16156,c_1230]) ).
tcf(c_16332,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_16156,c_1229]) ).
tcf(c_16333,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_16156,c_1228]) ).
tcf(c_16334,plain,
sdtpldt0(sdtasdt0(xS,xS),smndt0(sdtasdt0(xS,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_16156,c_1240]) ).
tcf(c_16335,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xS,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_16156,c_1239]) ).
tcf(c_16336,plain,
smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_16156,c_1238]) ).
tcf(c_16407,plain,
smndt0(sdtasdt0(xS,smndt0(xS))) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_9676,c_16336]) ).
tcf(c_16408,plain,
smndt0(sdtasdt0(smndt0(xS),xS)) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_8136,c_16336]) ).
tcf(c_16433,plain,
sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9676,c_16334]) ).
tcf(c_16434,plain,
sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8136,c_16334]) ).
tcf(c_16436,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(xS,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9676,c_16335]) ).
tcf(c_16437,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),sdtasdt0(xS,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8136,c_16335]) ).
tcf(c_16448,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6464,c_9157]) ).
tcf(c_16450,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(xN,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_9157,c_1245]) ).
tcf(c_16452,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9157,c_6662]) ).
tcf(c_16458,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(xR)))
| ~ aScalar0(sdtasdt0(xN,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_9161,c_1245]) ).
tcf(c_16460,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xR))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_9161,c_6767]) ).
tcf(c_16461,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_15774,c_133,c_129,c_2443,c_2525,c_3100,c_5481,c_15774]) ).
tcf(c_16464,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2640]) ).
tcf(c_16465,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2580]) ).
tcf(c_16466,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2579]) ).
tcf(c_16467,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2578]) ).
tcf(c_16468,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2533]) ).
tcf(c_16469,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2532]) ).
tcf(c_16470,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2531]) ).
tcf(c_16471,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2512]) ).
tcf(c_16472,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2511]) ).
tcf(c_16473,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2510]) ).
tcf(c_16474,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2485]) ).
tcf(c_16475,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2484]) ).
tcf(c_16476,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2483]) ).
tcf(c_16477,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_16461,c_2440]) ).
tcf(c_16478,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_16461,c_2432]) ).
tcf(c_16479,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_16461,c_1231]) ).
tcf(c_16480,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_16461,c_1233]) ).
tcf(c_16481,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_16461,c_1232]) ).
tcf(c_16482,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_16461,c_1237]) ).
tcf(c_16483,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_16461,c_1235]) ).
tcf(c_16484,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2427]) ).
tcf(c_16485,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_16461,c_1230]) ).
tcf(c_16486,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_16461,c_1229]) ).
tcf(c_16487,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_16461,c_1228]) ).
tcf(c_16488,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_16461,c_1240]) ).
tcf(c_16489,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),sdtasdt0(smndt0(xS),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_16461,c_1239]) ).
tcf(c_16490,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xS),smndt0(xN)),
inference(superposition,[status(thm)],[c_16461,c_1238]) ).
tcf(c_16575,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_16450,c_133,c_129,c_56,c_2443,c_2525,c_3158,c_6461,c_16450]) ).
tcf(c_16580,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2640]) ).
tcf(c_16581,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2580]) ).
tcf(c_16582,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2579]) ).
tcf(c_16583,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2578]) ).
tcf(c_16584,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2533]) ).
tcf(c_16585,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2532]) ).
tcf(c_16586,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2531]) ).
tcf(c_16587,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2512]) ).
tcf(c_16588,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2511]) ).
tcf(c_16589,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2510]) ).
tcf(c_16590,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2485]) ).
tcf(c_16591,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2484]) ).
tcf(c_16592,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2483]) ).
tcf(c_16593,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_16575,c_2440]) ).
tcf(c_16594,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_16575,c_2432]) ).
tcf(c_16595,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_16575,c_1231]) ).
tcf(c_16596,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_16575,c_1233]) ).
tcf(c_16597,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_16575,c_1232]) ).
tcf(c_16598,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_16575,c_1237]) ).
tcf(c_16599,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_16575,c_1235]) ).
tcf(c_16600,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2427]) ).
tcf(c_16601,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_16575,c_1230]) ).
tcf(c_16602,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_16575,c_1229]) ).
tcf(c_16603,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_16575,c_1228]) ).
tcf(c_16604,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_16575,c_1240]) ).
tcf(c_16605,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_16575,c_1239]) ).
tcf(c_16606,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_16575,c_1238]) ).
tcf(c_16675,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_16458,c_133,c_129,c_2443,c_2525,c_2932,c_3241,c_6467,c_16458]) ).
tcf(c_16678,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2640]) ).
tcf(c_16679,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2580]) ).
tcf(c_16680,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2579]) ).
tcf(c_16681,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2578]) ).
tcf(c_16682,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2533]) ).
tcf(c_16683,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2532]) ).
tcf(c_16684,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2531]) ).
tcf(c_16685,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2512]) ).
tcf(c_16686,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2511]) ).
tcf(c_16687,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2510]) ).
tcf(c_16688,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2485]) ).
tcf(c_16689,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2484]) ).
tcf(c_16690,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2483]) ).
tcf(c_16691,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_16675,c_2440]) ).
tcf(c_16692,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_16675,c_2432]) ).
tcf(c_16693,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_16675,c_1231]) ).
tcf(c_16694,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_16675,c_1233]) ).
tcf(c_16695,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_16675,c_1232]) ).
tcf(c_16696,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_16675,c_1237]) ).
tcf(c_16697,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_16675,c_1235]) ).
tcf(c_16698,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2427]) ).
tcf(c_16699,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_16675,c_1230]) ).
tcf(c_16700,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_16675,c_1229]) ).
tcf(c_16701,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_16675,c_1228]) ).
tcf(c_16702,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_16675,c_1240]) ).
tcf(c_16703,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),sdtasdt0(smndt0(xN),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_16675,c_1239]) ).
tcf(c_16704,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_16675,c_1238]) ).
tcf(c_16822,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8142,c_5664]) ).
tcf(c_16828,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(xS)))
| ~ aScalar0(sdtasdt0(xN,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_9162,c_1245]) ).
tcf(c_16830,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xS))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_9162,c_6947]) ).
tcf(c_16832,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xN,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_9163,c_1245]) ).
tcf(c_16834,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xN))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_9163,c_6981]) ).
tcf(c_16862,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4043,c_9495]) ).
tcf(c_16864,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(xR,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_9495,c_1245]) ).
tcf(c_16865,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(xR,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_9495,c_7335]) ).
tcf(c_16866,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9495,c_4282]) ).
tcf(c_16867,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_9495,c_4281]) ).
tcf(c_16868,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_9495,c_8824]) ).
tcf(c_16869,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9495,c_4283]) ).
tcf(c_16901,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(xR,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_9499,c_1245]) ).
tcf(c_16902,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_9499,c_7339]) ).
tcf(c_16903,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9499,c_4355]) ).
tcf(c_16904,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9499,c_4354]) ).
tcf(c_16905,plain,
sdtasdt0(xR,smndt0(smndt0(xR))) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_9499,c_8084]) ).
tcf(c_16906,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_9499,c_4356]) ).
tcf(c_16919,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_10899,c_9500]) ).
tcf(c_16920,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1167,c_9500]) ).
tcf(c_16921,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(xR,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_9500,c_1245]) ).
tcf(c_16922,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_9500,c_7340]) ).
tcf(c_16923,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9500,c_4457]) ).
tcf(c_16924,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9500,c_4456]) ).
tcf(c_16925,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9500,c_10908]) ).
tcf(c_16926,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_9500,c_8087]) ).
tcf(c_16927,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_9500,c_4458]) ).
tcf(c_17000,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_16828,c_133,c_129,c_2443,c_2525,c_3303,c_6555,c_16828]) ).
tcf(c_17003,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2640]) ).
tcf(c_17004,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2580]) ).
tcf(c_17005,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2579]) ).
tcf(c_17006,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2578]) ).
tcf(c_17007,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2533]) ).
tcf(c_17008,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2532]) ).
tcf(c_17009,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2531]) ).
tcf(c_17010,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2512]) ).
tcf(c_17011,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2511]) ).
tcf(c_17012,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2510]) ).
tcf(c_17013,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2485]) ).
tcf(c_17014,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2484]) ).
tcf(c_17015,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2483]) ).
tcf(c_17016,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17000,c_2440]) ).
tcf(c_17017,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17000,c_2432]) ).
tcf(c_17018,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_17000,c_1231]) ).
tcf(c_17019,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_17000,c_1233]) ).
tcf(c_17020,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_17000,c_1232]) ).
tcf(c_17021,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_17000,c_1237]) ).
tcf(c_17022,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_17000,c_1235]) ).
tcf(c_17023,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2427]) ).
tcf(c_17024,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_17000,c_1230]) ).
tcf(c_17025,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_17000,c_1229]) ).
tcf(c_17026,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_17000,c_1228]) ).
tcf(c_17027,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17000,c_1240]) ).
tcf(c_17028,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),sdtasdt0(smndt0(xN),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_17000,c_1239]) ).
tcf(c_17029,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_17000,c_1238]) ).
tcf(c_17263,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_16832,c_133,c_129,c_2443,c_2525,c_3100,c_6558,c_16832]) ).
tcf(c_17266,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2640]) ).
tcf(c_17267,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2580]) ).
tcf(c_17268,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2579]) ).
tcf(c_17269,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2578]) ).
tcf(c_17270,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2533]) ).
tcf(c_17271,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2532]) ).
tcf(c_17272,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2531]) ).
tcf(c_17273,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2512]) ).
tcf(c_17274,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2511]) ).
tcf(c_17275,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2510]) ).
tcf(c_17276,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2485]) ).
tcf(c_17277,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2484]) ).
tcf(c_17278,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2483]) ).
tcf(c_17279,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17263,c_2440]) ).
tcf(c_17280,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_17263,c_2432]) ).
tcf(c_17281,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_17263,c_1231]) ).
tcf(c_17282,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_17263,c_1233]) ).
tcf(c_17283,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_17263,c_1232]) ).
tcf(c_17284,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_17263,c_1237]) ).
tcf(c_17285,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_17263,c_1235]) ).
tcf(c_17286,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2427]) ).
tcf(c_17287,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_17263,c_1230]) ).
tcf(c_17288,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_17263,c_1229]) ).
tcf(c_17289,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_17263,c_1228]) ).
tcf(c_17290,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_17263,c_1240]) ).
tcf(c_17291,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),sdtasdt0(smndt0(xN),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_17263,c_1239]) ).
tcf(c_17292,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_17263,c_1238]) ).
tcf(c_17377,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_16864,c_129,c_56,c_2932,c_3158,c_4040,c_16864]) ).
tcf(c_17383,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2640]) ).
tcf(c_17384,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2580]) ).
tcf(c_17385,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2579]) ).
tcf(c_17386,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2578]) ).
tcf(c_17387,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2533]) ).
tcf(c_17388,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2532]) ).
tcf(c_17389,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2531]) ).
tcf(c_17390,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2512]) ).
tcf(c_17391,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2511]) ).
tcf(c_17392,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2510]) ).
tcf(c_17393,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2485]) ).
tcf(c_17394,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2484]) ).
tcf(c_17395,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2483]) ).
tcf(c_17396,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17377,c_2440]) ).
tcf(c_17397,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17377,c_2432]) ).
tcf(c_17398,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_17377,c_1231]) ).
tcf(c_17399,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_17377,c_1233]) ).
tcf(c_17400,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_17377,c_1232]) ).
tcf(c_17401,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_17377,c_1237]) ).
tcf(c_17402,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_17377,c_1235]) ).
tcf(c_17403,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2427]) ).
tcf(c_17404,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_17377,c_1230]) ).
tcf(c_17405,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_17377,c_1229]) ).
tcf(c_17406,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_17377,c_1228]) ).
tcf(c_17407,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17377,c_1240]) ).
tcf(c_17408,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17377,c_1239]) ).
tcf(c_17409,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_17377,c_1238]) ).
tcf(c_17474,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_16901,c_129,c_2932,c_3241,c_4065,c_16901]) ).
tcf(c_17478,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2640]) ).
tcf(c_17479,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2580]) ).
tcf(c_17480,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2579]) ).
tcf(c_17481,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2578]) ).
tcf(c_17482,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2533]) ).
tcf(c_17483,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2532]) ).
tcf(c_17484,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2531]) ).
tcf(c_17485,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2512]) ).
tcf(c_17486,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2511]) ).
tcf(c_17487,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2510]) ).
tcf(c_17488,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2485]) ).
tcf(c_17489,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2484]) ).
tcf(c_17490,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2483]) ).
tcf(c_17491,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17474,c_2440]) ).
tcf(c_17492,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17474,c_2432]) ).
tcf(c_17493,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_17474,c_1231]) ).
tcf(c_17494,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_17474,c_1233]) ).
tcf(c_17495,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_17474,c_1232]) ).
tcf(c_17496,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_17474,c_1237]) ).
tcf(c_17497,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_17474,c_1235]) ).
tcf(c_17498,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2427]) ).
tcf(c_17499,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_17474,c_1230]) ).
tcf(c_17500,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_17474,c_1229]) ).
tcf(c_17501,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_17474,c_1228]) ).
tcf(c_17502,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17474,c_1240]) ).
tcf(c_17503,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),sdtasdt0(xR,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_17474,c_1239]) ).
tcf(c_17504,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_17474,c_1238]) ).
tcf(c_17603,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(xR,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_9501,c_1245]) ).
tcf(c_17604,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_9501,c_7341]) ).
tcf(c_17605,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9501,c_4553]) ).
tcf(c_17606,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9501,c_4552]) ).
tcf(c_17607,plain,
sdtasdt0(xR,smndt0(smndt0(xN))) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_9501,c_8834]) ).
tcf(c_17608,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_9501,c_4554]) ).
tcf(c_17640,plain,
sdtasdt0(xR,sdtasdt0(xS,xR)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_8961,c_17607]) ).
tcf(c_17641,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_8086,c_17607]) ).
tcf(c_17698,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5405,c_9678]) ).
tcf(c_17700,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(xS,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_9678,c_1245]) ).
tcf(c_17701,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9678,c_5571]) ).
tcf(c_17702,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(xS,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_9678,c_8138]) ).
tcf(c_17703,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_9678,c_5570]) ).
tcf(c_17704,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_9678,c_10194]) ).
tcf(c_17705,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9678,c_5572]) ).
tcf(c_17734,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_5462,c_9682]) ).
tcf(c_17735,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(xS,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_9682,c_1245]) ).
tcf(c_17736,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9682,c_5664]) ).
tcf(c_17737,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_9682,c_8142]) ).
tcf(c_17738,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_9682,c_10999]) ).
tcf(c_17739,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9682,c_8960]) ).
tcf(c_17740,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_9682,c_5666]) ).
tcf(c_17784,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_16921,c_133,c_129,c_2525,c_2932,c_3303,c_4068,c_16921]) ).
tcf(c_17790,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2640]) ).
tcf(c_17791,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2580]) ).
tcf(c_17792,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2579]) ).
tcf(c_17793,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2578]) ).
tcf(c_17794,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2533]) ).
tcf(c_17795,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2532]) ).
tcf(c_17796,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2531]) ).
tcf(c_17797,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2512]) ).
tcf(c_17798,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2511]) ).
tcf(c_17799,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2510]) ).
tcf(c_17800,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2485]) ).
tcf(c_17801,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2484]) ).
tcf(c_17802,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2483]) ).
tcf(c_17803,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17784,c_2440]) ).
tcf(c_17804,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17784,c_2432]) ).
tcf(c_17805,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_17784,c_1231]) ).
tcf(c_17806,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_17784,c_1233]) ).
tcf(c_17807,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_17784,c_1232]) ).
tcf(c_17808,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_17784,c_1237]) ).
tcf(c_17809,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_17784,c_1235]) ).
tcf(c_17810,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2427]) ).
tcf(c_17811,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_17784,c_1230]) ).
tcf(c_17812,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_17784,c_1229]) ).
tcf(c_17813,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_17784,c_1228]) ).
tcf(c_17814,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17784,c_1240]) ).
tcf(c_17815,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17784,c_1239]) ).
tcf(c_17816,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_17784,c_1238]) ).
tcf(c_17886,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_17603,c_133,c_129,c_2443,c_2525,c_2932,c_3100,c_4167,c_17603]) ).
tcf(c_17889,plain,
aScalar0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8961,c_17886]) ).
tcf(c_17890,plain,
aScalar0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8086,c_17886]) ).
tcf(c_17892,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2640]) ).
tcf(c_17893,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2580]) ).
tcf(c_17894,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2579]) ).
tcf(c_17895,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2578]) ).
tcf(c_17896,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2533]) ).
tcf(c_17897,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2532]) ).
tcf(c_17898,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2531]) ).
tcf(c_17899,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2512]) ).
tcf(c_17900,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2511]) ).
tcf(c_17901,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2510]) ).
tcf(c_17902,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2485]) ).
tcf(c_17903,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2484]) ).
tcf(c_17904,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2483]) ).
tcf(c_17905,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17886,c_2440]) ).
tcf(c_17906,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17886,c_2432]) ).
tcf(c_17907,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_17886,c_1231]) ).
tcf(c_17908,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_17886,c_1233]) ).
tcf(c_17909,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_17886,c_1232]) ).
tcf(c_17910,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_17886,c_1237]) ).
tcf(c_17911,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_17886,c_1235]) ).
tcf(c_17912,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2427]) ).
tcf(c_17913,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_17886,c_1230]) ).
tcf(c_17914,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_17886,c_1229]) ).
tcf(c_17915,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_17886,c_1228]) ).
tcf(c_17916,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17886,c_1240]) ).
tcf(c_17917,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),sdtasdt0(xR,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_17886,c_1239]) ).
tcf(c_17918,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_17886,c_1238]) ).
tcf(c_17983,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_17700,c_133,c_56,c_2525,c_3158,c_5402,c_17700]) ).
tcf(c_17989,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2640]) ).
tcf(c_17990,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2580]) ).
tcf(c_17991,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2579]) ).
tcf(c_17992,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2578]) ).
tcf(c_17993,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2533]) ).
tcf(c_17994,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2532]) ).
tcf(c_17995,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2531]) ).
tcf(c_17996,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2512]) ).
tcf(c_17997,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2511]) ).
tcf(c_17998,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2510]) ).
tcf(c_17999,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2485]) ).
tcf(c_18000,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2484]) ).
tcf(c_18001,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2483]) ).
tcf(c_18002,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17983,c_2440]) ).
tcf(c_18003,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17983,c_2432]) ).
tcf(c_18004,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_17983,c_1231]) ).
tcf(c_18005,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_17983,c_1233]) ).
tcf(c_18006,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_17983,c_1232]) ).
tcf(c_18007,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_17983,c_1237]) ).
tcf(c_18008,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_17983,c_1235]) ).
tcf(c_18009,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2427]) ).
tcf(c_18010,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_17983,c_1230]) ).
tcf(c_18011,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_17983,c_1229]) ).
tcf(c_18012,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_17983,c_1228]) ).
tcf(c_18013,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17983,c_1240]) ).
tcf(c_18014,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17983,c_1239]) ).
tcf(c_18015,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_17983,c_1238]) ).
tcf(c_18156,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_17735,c_133,c_129,c_2525,c_2932,c_3241,c_5461,c_17735]) ).
tcf(c_18161,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2640]) ).
tcf(c_18162,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2580]) ).
tcf(c_18163,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2579]) ).
tcf(c_18164,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2578]) ).
tcf(c_18165,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2533]) ).
tcf(c_18166,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2532]) ).
tcf(c_18167,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2531]) ).
tcf(c_18168,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2512]) ).
tcf(c_18169,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2511]) ).
tcf(c_18170,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2510]) ).
tcf(c_18171,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2485]) ).
tcf(c_18172,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2484]) ).
tcf(c_18173,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2483]) ).
tcf(c_18174,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18156,c_2440]) ).
tcf(c_18175,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18156,c_2432]) ).
tcf(c_18176,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_18156,c_1231]) ).
tcf(c_18177,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_18156,c_1233]) ).
tcf(c_18178,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_18156,c_1232]) ).
tcf(c_18179,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_18156,c_1237]) ).
tcf(c_18180,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_18156,c_1235]) ).
tcf(c_18181,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2427]) ).
tcf(c_18182,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_18156,c_1230]) ).
tcf(c_18183,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_18156,c_1229]) ).
tcf(c_18184,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_18156,c_1228]) ).
tcf(c_18185,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18156,c_1240]) ).
tcf(c_18186,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_18156,c_1239]) ).
tcf(c_18187,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_18156,c_1238]) ).
tcf(c_18268,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2640]) ).
tcf(c_18269,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2580]) ).
tcf(c_18270,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2579]) ).
tcf(c_18271,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2578]) ).
tcf(c_18272,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2533]) ).
tcf(c_18273,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2532]) ).
tcf(c_18274,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2531]) ).
tcf(c_18275,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2512]) ).
tcf(c_18276,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2511]) ).
tcf(c_18277,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2510]) ).
tcf(c_18278,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2485]) ).
tcf(c_18279,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2484]) ).
tcf(c_18280,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2483]) ).
tcf(c_18281,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17889,c_2440]) ).
tcf(c_18282,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_17889,c_2432]) ).
tcf(c_18283,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_17889,c_1231]) ).
tcf(c_18284,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_17889,c_1233]) ).
tcf(c_18285,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_17889,c_1232]) ).
tcf(c_18286,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_17889,c_1237]) ).
tcf(c_18287,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_17889,c_1235]) ).
tcf(c_18288,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2427]) ).
tcf(c_18289,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_17889,c_1230]) ).
tcf(c_18290,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_17889,c_1229]) ).
tcf(c_18291,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_17889,c_1228]) ).
tcf(c_18292,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_17889,c_1240]) ).
tcf(c_18293,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),sdtasdt0(xR,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_17889,c_1239]) ).
tcf(c_18294,plain,
smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_17889,c_1238]) ).
tcf(c_18346,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2640]) ).
tcf(c_18347,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2580]) ).
tcf(c_18348,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2579]) ).
tcf(c_18349,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2578]) ).
tcf(c_18350,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2533]) ).
tcf(c_18351,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2532]) ).
tcf(c_18352,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2531]) ).
tcf(c_18353,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2512]) ).
tcf(c_18354,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2511]) ).
tcf(c_18355,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2510]) ).
tcf(c_18356,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2485]) ).
tcf(c_18357,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2484]) ).
tcf(c_18358,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2483]) ).
tcf(c_18359,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17890,c_2440]) ).
tcf(c_18360,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17890,c_2432]) ).
tcf(c_18361,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_17890,c_1231]) ).
tcf(c_18362,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_17890,c_1233]) ).
tcf(c_18363,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_17890,c_1232]) ).
tcf(c_18364,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_17890,c_1237]) ).
tcf(c_18365,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_17890,c_1235]) ).
tcf(c_18366,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2427]) ).
tcf(c_18367,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_17890,c_1230]) ).
tcf(c_18368,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_17890,c_1229]) ).
tcf(c_18369,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_17890,c_1228]) ).
tcf(c_18370,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17890,c_1240]) ).
tcf(c_18371,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),sdtasdt0(xR,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_17890,c_1239]) ).
tcf(c_18372,plain,
smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_17890,c_1238]) ).
tcf(c_18442,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(xS,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_9683,c_1245]) ).
tcf(c_18443,plain,
sdtasdt0(xS,smndt0(smndt0(xS))) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_9683,c_16407]) ).
tcf(c_18444,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_9683,c_8143]) ).
tcf(c_18445,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_9683,c_5745]) ).
tcf(c_18462,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(xS,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_9684,c_1245]) ).
tcf(c_18463,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_9684,c_8144]) ).
tcf(c_18464,plain,
sdtasdt0(xS,smndt0(smndt0(xN))) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_9684,c_9430]) ).
tcf(c_18465,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_9684,c_5841]) ).
tcf(c_18540,plain,
sdtasdt0(xS,sdtasdt0(xS,xR)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_8961,c_18464]) ).
tcf(c_18541,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_8086,c_18464]) ).
tcf(c_18552,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6464,c_10544]) ).
tcf(c_18554,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(xN,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_10544,c_1245]) ).
tcf(c_18555,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_10544,c_9157]) ).
tcf(c_18556,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_10544,c_10956]) ).
tcf(c_18557,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_10544,c_6662]) ).
tcf(c_18584,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_18442,c_133,c_2525,c_3303,c_5478,c_18442]) ).
tcf(c_18588,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2640]) ).
tcf(c_18589,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2580]) ).
tcf(c_18590,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2579]) ).
tcf(c_18591,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2578]) ).
tcf(c_18592,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2533]) ).
tcf(c_18593,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2532]) ).
tcf(c_18594,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2531]) ).
tcf(c_18595,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2512]) ).
tcf(c_18596,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2511]) ).
tcf(c_18597,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2510]) ).
tcf(c_18598,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2485]) ).
tcf(c_18599,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2484]) ).
tcf(c_18600,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2483]) ).
tcf(c_18601,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18584,c_2440]) ).
tcf(c_18602,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18584,c_2432]) ).
tcf(c_18603,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_18584,c_1231]) ).
tcf(c_18604,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_18584,c_1233]) ).
tcf(c_18605,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_18584,c_1232]) ).
tcf(c_18606,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_18584,c_1237]) ).
tcf(c_18607,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_18584,c_1235]) ).
tcf(c_18608,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2427]) ).
tcf(c_18609,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_18584,c_1230]) ).
tcf(c_18610,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_18584,c_1229]) ).
tcf(c_18611,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_18584,c_1228]) ).
tcf(c_18612,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18584,c_1240]) ).
tcf(c_18613,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),sdtasdt0(xS,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_18584,c_1239]) ).
tcf(c_18614,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xS,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_18584,c_1238]) ).
tcf(c_18681,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_18462,c_133,c_129,c_2443,c_2525,c_3100,c_5481,c_18462]) ).
tcf(c_18684,plain,
aScalar0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8961,c_18681]) ).
tcf(c_18685,plain,
aScalar0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8086,c_18681]) ).
tcf(c_18687,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2640]) ).
tcf(c_18688,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2580]) ).
tcf(c_18689,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2579]) ).
tcf(c_18690,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2578]) ).
tcf(c_18691,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2533]) ).
tcf(c_18692,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2532]) ).
tcf(c_18693,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2531]) ).
tcf(c_18694,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2512]) ).
tcf(c_18695,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2511]) ).
tcf(c_18696,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2510]) ).
tcf(c_18697,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2485]) ).
tcf(c_18698,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2484]) ).
tcf(c_18699,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2483]) ).
tcf(c_18700,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18681,c_2440]) ).
tcf(c_18701,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_18681,c_2432]) ).
tcf(c_18702,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_18681,c_1231]) ).
tcf(c_18703,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_18681,c_1233]) ).
tcf(c_18704,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_18681,c_1232]) ).
tcf(c_18705,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_18681,c_1237]) ).
tcf(c_18706,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_18681,c_1235]) ).
tcf(c_18707,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2427]) ).
tcf(c_18708,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_18681,c_1230]) ).
tcf(c_18709,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_18681,c_1229]) ).
tcf(c_18710,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_18681,c_1228]) ).
tcf(c_18711,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_18681,c_1240]) ).
tcf(c_18712,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),sdtasdt0(xS,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_18681,c_1239]) ).
tcf(c_18713,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_18681,c_1238]) ).
tcf(c_18781,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_18554,c_133,c_129,c_56,c_2443,c_2525,c_3158,c_6461,c_18554]) ).
tcf(c_18786,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2640]) ).
tcf(c_18787,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2580]) ).
tcf(c_18788,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2579]) ).
tcf(c_18789,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2578]) ).
tcf(c_18790,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2533]) ).
tcf(c_18791,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2532]) ).
tcf(c_18792,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2531]) ).
tcf(c_18793,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2512]) ).
tcf(c_18794,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2511]) ).
tcf(c_18795,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2510]) ).
tcf(c_18796,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2485]) ).
tcf(c_18797,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2484]) ).
tcf(c_18798,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2483]) ).
tcf(c_18799,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18781,c_2440]) ).
tcf(c_18800,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_18781,c_2432]) ).
tcf(c_18801,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_18781,c_1231]) ).
tcf(c_18802,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_18781,c_1233]) ).
tcf(c_18803,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_18781,c_1232]) ).
tcf(c_18804,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_18781,c_1237]) ).
tcf(c_18805,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_18781,c_1235]) ).
tcf(c_18806,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2427]) ).
tcf(c_18807,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_18781,c_1230]) ).
tcf(c_18808,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_18781,c_1229]) ).
tcf(c_18809,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_18781,c_1228]) ).
tcf(c_18810,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_18781,c_1240]) ).
tcf(c_18811,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_18781,c_1239]) ).
tcf(c_18812,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_18781,c_1238]) ).
tcf(c_18902,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9682,c_5665]) ).
tcf(c_18903,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8142,c_5665]) ).
tcf(c_18923,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2640]) ).
tcf(c_18924,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2580]) ).
tcf(c_18925,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2579]) ).
tcf(c_18926,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2578]) ).
tcf(c_18927,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2533]) ).
tcf(c_18928,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2532]) ).
tcf(c_18929,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2531]) ).
tcf(c_18930,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2512]) ).
tcf(c_18931,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2511]) ).
tcf(c_18932,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2510]) ).
tcf(c_18933,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2485]) ).
tcf(c_18934,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2484]) ).
tcf(c_18935,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2483]) ).
tcf(c_18936,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18684,c_2440]) ).
tcf(c_18937,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_18684,c_2432]) ).
tcf(c_18938,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_18684,c_1231]) ).
tcf(c_18939,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_18684,c_1233]) ).
tcf(c_18940,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_18684,c_1232]) ).
tcf(c_18941,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_18684,c_1237]) ).
tcf(c_18942,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_18684,c_1235]) ).
tcf(c_18943,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2427]) ).
tcf(c_18944,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_18684,c_1230]) ).
tcf(c_18945,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_18684,c_1229]) ).
tcf(c_18946,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_18684,c_1228]) ).
tcf(c_18947,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_18684,c_1240]) ).
tcf(c_18948,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),sdtasdt0(xS,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_18684,c_1239]) ).
tcf(c_18949,plain,
smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_18684,c_1238]) ).
tcf(c_19021,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2640]) ).
tcf(c_19022,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2580]) ).
tcf(c_19023,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2579]) ).
tcf(c_19024,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2578]) ).
tcf(c_19025,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2533]) ).
tcf(c_19026,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2532]) ).
tcf(c_19027,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2531]) ).
tcf(c_19028,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2512]) ).
tcf(c_19029,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2511]) ).
tcf(c_19030,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2510]) ).
tcf(c_19031,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2485]) ).
tcf(c_19032,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2484]) ).
tcf(c_19033,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2483]) ).
tcf(c_19034,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18685,c_2440]) ).
tcf(c_19035,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_18685,c_2432]) ).
tcf(c_19036,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_18685,c_1231]) ).
tcf(c_19037,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_18685,c_1233]) ).
tcf(c_19038,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_18685,c_1232]) ).
tcf(c_19039,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_18685,c_1237]) ).
tcf(c_19040,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_18685,c_1235]) ).
tcf(c_19041,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2427]) ).
tcf(c_19042,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_18685,c_1230]) ).
tcf(c_19043,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_18685,c_1229]) ).
tcf(c_19044,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_18685,c_1228]) ).
tcf(c_19045,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_18685,c_1240]) ).
tcf(c_19046,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),sdtasdt0(xS,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_18685,c_1239]) ).
tcf(c_19047,plain,
smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_18685,c_1238]) ).
tcf(c_19108,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(xN,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_10548,c_1245]) ).
tcf(c_19109,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_10548,c_9161]) ).
tcf(c_19110,plain,
sdtasdt0(xN,smndt0(smndt0(xR))) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_10548,c_10431]) ).
tcf(c_19111,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_10548,c_6767]) ).
tcf(c_19115,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(xN,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_10549,c_1245]) ).
tcf(c_19116,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_10549,c_9162]) ).
tcf(c_19117,plain,
sdtasdt0(xN,smndt0(smndt0(xS))) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_10549,c_10928]) ).
tcf(c_19118,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_10549,c_6947]) ).
tcf(c_19132,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(xN,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_10550,c_1245]) ).
tcf(c_19133,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_10550,c_9163]) ).
tcf(c_19134,plain,
sdtasdt0(xN,smndt0(smndt0(xN))) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_10550,c_10930]) ).
tcf(c_19135,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_10550,c_6981]) ).
tcf(c_19136,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8961,c_19134]) ).
tcf(c_19137,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8086,c_19134]) ).
tcf(c_19154,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_12115,c_11076]) ).
tcf(c_19156,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_11076,c_1245]) ).
tcf(c_19157,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_11076,c_11515]) ).
tcf(c_19158,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11076,c_12052]) ).
tcf(c_19159,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_19108,c_133,c_129,c_2443,c_2525,c_2932,c_3241,c_6467,c_19108]) ).
tcf(c_19163,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2640]) ).
tcf(c_19164,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2580]) ).
tcf(c_19165,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2579]) ).
tcf(c_19166,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2578]) ).
tcf(c_19167,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2533]) ).
tcf(c_19168,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2532]) ).
tcf(c_19169,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2531]) ).
tcf(c_19170,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2512]) ).
tcf(c_19171,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2511]) ).
tcf(c_19172,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2510]) ).
tcf(c_19173,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2485]) ).
tcf(c_19174,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2484]) ).
tcf(c_19175,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2483]) ).
tcf(c_19176,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19159,c_2440]) ).
tcf(c_19177,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19159,c_2432]) ).
tcf(c_19178,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_19159,c_1231]) ).
tcf(c_19179,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_19159,c_1233]) ).
tcf(c_19180,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_19159,c_1232]) ).
tcf(c_19181,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_19159,c_1237]) ).
tcf(c_19182,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_19159,c_1235]) ).
tcf(c_19183,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2427]) ).
tcf(c_19184,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_19159,c_1230]) ).
tcf(c_19185,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_19159,c_1229]) ).
tcf(c_19186,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_19159,c_1228]) ).
tcf(c_19187,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19159,c_1240]) ).
tcf(c_19188,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),sdtasdt0(xN,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19159,c_1239]) ).
tcf(c_19189,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_19159,c_1238]) ).
tcf(c_19274,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_19115,c_133,c_129,c_2443,c_2525,c_3303,c_6555,c_19115]) ).
tcf(c_19278,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2640]) ).
tcf(c_19279,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2580]) ).
tcf(c_19280,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2579]) ).
tcf(c_19281,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2578]) ).
tcf(c_19282,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2533]) ).
tcf(c_19283,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2532]) ).
tcf(c_19284,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2531]) ).
tcf(c_19285,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2512]) ).
tcf(c_19286,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2511]) ).
tcf(c_19287,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2510]) ).
tcf(c_19288,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2485]) ).
tcf(c_19289,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2484]) ).
tcf(c_19290,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2483]) ).
tcf(c_19291,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19274,c_2440]) ).
tcf(c_19292,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19274,c_2432]) ).
tcf(c_19293,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_19274,c_1231]) ).
tcf(c_19294,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_19274,c_1233]) ).
tcf(c_19295,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_19274,c_1232]) ).
tcf(c_19296,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_19274,c_1237]) ).
tcf(c_19297,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_19274,c_1235]) ).
tcf(c_19298,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2427]) ).
tcf(c_19299,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_19274,c_1230]) ).
tcf(c_19300,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_19274,c_1229]) ).
tcf(c_19301,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_19274,c_1228]) ).
tcf(c_19302,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19274,c_1240]) ).
tcf(c_19303,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),sdtasdt0(xN,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19274,c_1239]) ).
tcf(c_19304,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_19274,c_1238]) ).
tcf(c_19345,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_19132,c_133,c_129,c_2443,c_2525,c_3100,c_6558,c_19132]) ).
tcf(c_19348,plain,
aScalar0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8961,c_19345]) ).
tcf(c_19349,plain,
aScalar0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8086,c_19345]) ).
tcf(c_19351,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2640]) ).
tcf(c_19352,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2580]) ).
tcf(c_19353,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2579]) ).
tcf(c_19354,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2578]) ).
tcf(c_19355,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2533]) ).
tcf(c_19356,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2532]) ).
tcf(c_19357,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2531]) ).
tcf(c_19358,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2512]) ).
tcf(c_19359,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2511]) ).
tcf(c_19360,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2510]) ).
tcf(c_19361,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2485]) ).
tcf(c_19362,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2484]) ).
tcf(c_19363,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2483]) ).
tcf(c_19364,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19345,c_2440]) ).
tcf(c_19365,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_19345,c_2432]) ).
tcf(c_19366,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_19345,c_1231]) ).
tcf(c_19367,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_19345,c_1233]) ).
tcf(c_19368,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_19345,c_1232]) ).
tcf(c_19369,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_19345,c_1237]) ).
tcf(c_19370,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_19345,c_1235]) ).
tcf(c_19371,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2427]) ).
tcf(c_19372,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_19345,c_1230]) ).
tcf(c_19373,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_19345,c_1229]) ).
tcf(c_19374,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_19345,c_1228]) ).
tcf(c_19375,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_19345,c_1240]) ).
tcf(c_19376,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),sdtasdt0(xN,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_19345,c_1239]) ).
tcf(c_19377,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_19345,c_1238]) ).
tcf(c_19464,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_19156,c_56,c_160,c_11466,c_19156]) ).
tcf(c_19468,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2640]) ).
tcf(c_19469,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2580]) ).
tcf(c_19470,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2579]) ).
tcf(c_19471,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2578]) ).
tcf(c_19472,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2533]) ).
tcf(c_19473,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2532]) ).
tcf(c_19474,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2531]) ).
tcf(c_19475,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2512]) ).
tcf(c_19476,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2511]) ).
tcf(c_19477,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2510]) ).
tcf(c_19478,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2485]) ).
tcf(c_19479,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2484]) ).
tcf(c_19480,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2483]) ).
tcf(c_19481,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19464,c_2440]) ).
tcf(c_19482,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19464,c_2432]) ).
tcf(c_19483,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_19464,c_1231]) ).
tcf(c_19484,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_19464,c_1233]) ).
tcf(c_19485,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_19464,c_1232]) ).
tcf(c_19486,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_19464,c_1237]) ).
tcf(c_19487,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_19464,c_1235]) ).
tcf(c_19488,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2427]) ).
tcf(c_19489,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_19464,c_1230]) ).
tcf(c_19490,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_19464,c_1229]) ).
tcf(c_19491,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_19464,c_1228]) ).
tcf(c_19492,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19464,c_1240]) ).
tcf(c_19493,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_19464,c_1239]) ).
tcf(c_19494,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_19464,c_1238]) ).
tcf(c_19584,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2640]) ).
tcf(c_19585,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2580]) ).
tcf(c_19586,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2579]) ).
tcf(c_19587,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2578]) ).
tcf(c_19588,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2533]) ).
tcf(c_19589,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2532]) ).
tcf(c_19590,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2531]) ).
tcf(c_19591,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2512]) ).
tcf(c_19592,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2511]) ).
tcf(c_19593,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2510]) ).
tcf(c_19594,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2485]) ).
tcf(c_19595,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2484]) ).
tcf(c_19596,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2483]) ).
tcf(c_19597,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19348,c_2440]) ).
tcf(c_19598,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19348,c_2432]) ).
tcf(c_19599,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_19348,c_1231]) ).
tcf(c_19600,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_19348,c_1233]) ).
tcf(c_19601,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_19348,c_1232]) ).
tcf(c_19602,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_19348,c_1237]) ).
tcf(c_19603,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_19348,c_1235]) ).
tcf(c_19604,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2427]) ).
tcf(c_19605,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_19348,c_1230]) ).
tcf(c_19606,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_19348,c_1229]) ).
tcf(c_19607,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_19348,c_1228]) ).
tcf(c_19608,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19348,c_1240]) ).
tcf(c_19609,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),sdtasdt0(xN,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_19348,c_1239]) ).
tcf(c_19610,plain,
smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_19348,c_1238]) ).
tcf(c_19703,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2640]) ).
tcf(c_19704,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2580]) ).
tcf(c_19705,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2579]) ).
tcf(c_19706,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2578]) ).
tcf(c_19707,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2533]) ).
tcf(c_19708,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2532]) ).
tcf(c_19709,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2531]) ).
tcf(c_19710,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2512]) ).
tcf(c_19711,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2511]) ).
tcf(c_19712,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2510]) ).
tcf(c_19713,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2485]) ).
tcf(c_19714,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2484]) ).
tcf(c_19715,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2483]) ).
tcf(c_19716,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19349,c_2440]) ).
tcf(c_19717,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19349,c_2432]) ).
tcf(c_19718,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_19349,c_1231]) ).
tcf(c_19719,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_19349,c_1233]) ).
tcf(c_19720,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_19349,c_1232]) ).
tcf(c_19721,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_19349,c_1237]) ).
tcf(c_19722,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_19349,c_1235]) ).
tcf(c_19723,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2427]) ).
tcf(c_19724,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_19349,c_1230]) ).
tcf(c_19725,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_19349,c_1229]) ).
tcf(c_19726,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_19349,c_1228]) ).
tcf(c_19727,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19349,c_1240]) ).
tcf(c_19728,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),sdtasdt0(xN,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_19349,c_1239]) ).
tcf(c_19729,plain,
smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_19349,c_1238]) ).
tcf(c_19822,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19154,c_19464]) ).
tcf(c_19826,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2640]) ).
tcf(c_19827,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2580]) ).
tcf(c_19828,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2579]) ).
tcf(c_19829,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2578]) ).
tcf(c_19830,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2533]) ).
tcf(c_19831,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2532]) ).
tcf(c_19832,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2531]) ).
tcf(c_19833,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2512]) ).
tcf(c_19834,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2511]) ).
tcf(c_19835,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2510]) ).
tcf(c_19836,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2485]) ).
tcf(c_19837,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2484]) ).
tcf(c_19838,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2483]) ).
tcf(c_19839,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19822,c_2440]) ).
tcf(c_19840,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_19822,c_2432]) ).
tcf(c_19841,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_19822,c_1231]) ).
tcf(c_19842,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_19822,c_1233]) ).
tcf(c_19843,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_19822,c_1232]) ).
tcf(c_19844,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_19822,c_1237]) ).
tcf(c_19845,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_19822,c_1235]) ).
tcf(c_19847,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_19822,c_1230]) ).
tcf(c_19848,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_19822,c_1229]) ).
tcf(c_19849,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_19822,c_1228]) ).
tcf(c_19903,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12929,c_11080]) ).
tcf(c_19904,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_11080,c_1245]) ).
tcf(c_19905,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_11080,c_13736]) ).
tcf(c_19906,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_11080,c_13243]) ).
tcf(c_19925,plain,
( aScalar0(smndt0(sdtasdt0(sz0z00,xR)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_19903,c_1246]) ).
tcf(c_19928,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_12934,c_11081]) ).
tcf(c_19929,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_11081,c_1245]) ).
tcf(c_19930,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_11081,c_13837]) ).
tcf(c_19931,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_11081,c_13392]) ).
tcf(c_19935,plain,
( aScalar0(smndt0(sdtasdt0(sz0z00,xS)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_19928,c_1246]) ).
tcf(c_19938,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_12939,c_11082]) ).
tcf(c_19939,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_11082,c_1245]) ).
tcf(c_19940,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_11082,c_13919]) ).
tcf(c_19941,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_11082,c_13620]) ).
tcf(c_19942,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_19904,c_129,c_56,c_147,c_12930,c_19904]) ).
tcf(c_19944,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19903,c_19942]) ).
tcf(c_19947,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2640]) ).
tcf(c_19948,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2580]) ).
tcf(c_19949,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2579]) ).
tcf(c_19950,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2578]) ).
tcf(c_19951,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2533]) ).
tcf(c_19952,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2532]) ).
tcf(c_19953,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2531]) ).
tcf(c_19954,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2512]) ).
tcf(c_19955,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2511]) ).
tcf(c_19956,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2510]) ).
tcf(c_19957,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2485]) ).
tcf(c_19958,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2484]) ).
tcf(c_19959,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2483]) ).
tcf(c_19960,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19942,c_2440]) ).
tcf(c_19961,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19942,c_2432]) ).
tcf(c_19962,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_19942,c_1231]) ).
tcf(c_19963,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_19942,c_1233]) ).
tcf(c_19964,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_19942,c_1232]) ).
tcf(c_19965,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_19942,c_1237]) ).
tcf(c_19966,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_19942,c_1235]) ).
tcf(c_19967,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2427]) ).
tcf(c_19968,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_19942,c_1230]) ).
tcf(c_19969,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_19942,c_1229]) ).
tcf(c_19970,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_19942,c_1228]) ).
tcf(c_19971,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19942,c_1240]) ).
tcf(c_19972,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19942,c_1239]) ).
tcf(c_19973,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_19942,c_1238]) ).
tcf(c_20031,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_19929,c_133,c_56,c_147,c_12935,c_19929]) ).
tcf(c_20033,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19928,c_20031]) ).
tcf(c_20036,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2640]) ).
tcf(c_20037,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2580]) ).
tcf(c_20038,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2579]) ).
tcf(c_20039,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2578]) ).
tcf(c_20040,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2533]) ).
tcf(c_20041,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2532]) ).
tcf(c_20042,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2531]) ).
tcf(c_20043,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2512]) ).
tcf(c_20044,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2511]) ).
tcf(c_20045,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2510]) ).
tcf(c_20046,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2485]) ).
tcf(c_20047,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2484]) ).
tcf(c_20048,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2483]) ).
tcf(c_20049,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20031,c_2440]) ).
tcf(c_20050,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20031,c_2432]) ).
tcf(c_20051,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_20031,c_1231]) ).
tcf(c_20052,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_20031,c_1233]) ).
tcf(c_20053,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_20031,c_1232]) ).
tcf(c_20054,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_20031,c_1237]) ).
tcf(c_20055,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_20031,c_1235]) ).
tcf(c_20056,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2427]) ).
tcf(c_20057,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_20031,c_1230]) ).
tcf(c_20058,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_20031,c_1229]) ).
tcf(c_20059,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_20031,c_1228]) ).
tcf(c_20060,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20031,c_1240]) ).
tcf(c_20061,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20031,c_1239]) ).
tcf(c_20062,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_20031,c_1238]) ).
tcf(c_20370,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_19939,c_135,c_56,c_147,c_12940,c_19939]) ).
tcf(c_20372,plain,
aScalar0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8961,c_20370]) ).
tcf(c_20373,plain,
aScalar0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8086,c_20370]) ).
tcf(c_20375,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2640]) ).
tcf(c_20376,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2580]) ).
tcf(c_20377,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2579]) ).
tcf(c_20378,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2578]) ).
tcf(c_20379,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2533]) ).
tcf(c_20380,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2532]) ).
tcf(c_20381,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2531]) ).
tcf(c_20382,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2512]) ).
tcf(c_20383,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2511]) ).
tcf(c_20384,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2510]) ).
tcf(c_20385,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2485]) ).
tcf(c_20386,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2484]) ).
tcf(c_20387,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2483]) ).
tcf(c_20388,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20370,c_2440]) ).
tcf(c_20389,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20370,c_2432]) ).
tcf(c_20390,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_20370,c_1231]) ).
tcf(c_20391,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_20370,c_1233]) ).
tcf(c_20392,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_20370,c_1232]) ).
tcf(c_20393,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_20370,c_1237]) ).
tcf(c_20394,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_20370,c_1235]) ).
tcf(c_20395,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2427]) ).
tcf(c_20396,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_20370,c_1230]) ).
tcf(c_20397,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_20370,c_1229]) ).
tcf(c_20398,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_20370,c_1228]) ).
tcf(c_20399,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20370,c_1240]) ).
tcf(c_20400,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20370,c_1239]) ).
tcf(c_20401,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_20370,c_1238]) ).
tcf(c_20420,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9683,c_5743]) ).
tcf(c_20422,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8143,c_5743]) ).
tcf(c_20429,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_12148,c_19944]) ).
tcf(c_20431,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2640]) ).
tcf(c_20432,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2580]) ).
tcf(c_20433,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2579]) ).
tcf(c_20434,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2578]) ).
tcf(c_20435,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2533]) ).
tcf(c_20436,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2532]) ).
tcf(c_20437,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2531]) ).
tcf(c_20438,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2512]) ).
tcf(c_20439,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2511]) ).
tcf(c_20440,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2510]) ).
tcf(c_20441,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2485]) ).
tcf(c_20442,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2484]) ).
tcf(c_20443,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2483]) ).
tcf(c_20444,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19944,c_2440]) ).
tcf(c_20445,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19944,c_2432]) ).
tcf(c_20446,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_19944,c_1231]) ).
tcf(c_20447,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_19944,c_1233]) ).
tcf(c_20448,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_19944,c_1232]) ).
tcf(c_20449,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_19944,c_1237]) ).
tcf(c_20450,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_19944,c_1235]) ).
tcf(c_20452,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_19944,c_1230]) ).
tcf(c_20453,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_19944,c_1229]) ).
tcf(c_20454,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_19944,c_1228]) ).
tcf(c_20499,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_12149,c_20033]) ).
tcf(c_20501,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2640]) ).
tcf(c_20502,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2580]) ).
tcf(c_20503,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2579]) ).
tcf(c_20504,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2578]) ).
tcf(c_20505,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2533]) ).
tcf(c_20506,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2532]) ).
tcf(c_20507,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2531]) ).
tcf(c_20508,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2512]) ).
tcf(c_20509,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2511]) ).
tcf(c_20510,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2510]) ).
tcf(c_20511,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2485]) ).
tcf(c_20512,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2484]) ).
tcf(c_20513,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2483]) ).
tcf(c_20514,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20033,c_2440]) ).
tcf(c_20515,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20033,c_2432]) ).
tcf(c_20516,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_20033,c_1231]) ).
tcf(c_20517,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_20033,c_1233]) ).
tcf(c_20518,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_20033,c_1232]) ).
tcf(c_20519,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_20033,c_1237]) ).
tcf(c_20520,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_20033,c_1235]) ).
tcf(c_20522,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_20033,c_1230]) ).
tcf(c_20523,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_20033,c_1229]) ).
tcf(c_20524,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_20033,c_1228]) ).
tcf(c_20580,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2640]) ).
tcf(c_20581,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2580]) ).
tcf(c_20582,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2579]) ).
tcf(c_20583,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2578]) ).
tcf(c_20584,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2533]) ).
tcf(c_20585,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2532]) ).
tcf(c_20586,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2531]) ).
tcf(c_20587,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2512]) ).
tcf(c_20588,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2511]) ).
tcf(c_20589,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2510]) ).
tcf(c_20590,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2485]) ).
tcf(c_20591,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2484]) ).
tcf(c_20592,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2483]) ).
tcf(c_20593,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20429,c_2440]) ).
tcf(c_20594,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_20429,c_2432]) ).
tcf(c_20595,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_20429,c_1231]) ).
tcf(c_20596,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_20429,c_1233]) ).
tcf(c_20597,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_20429,c_1232]) ).
tcf(c_20598,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_20429,c_1237]) ).
tcf(c_20599,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_20429,c_1235]) ).
tcf(c_20600,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2427]) ).
tcf(c_20601,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_20429,c_1230]) ).
tcf(c_20602,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_20429,c_1229]) ).
tcf(c_20603,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_20429,c_1228]) ).
tcf(c_20604,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_20429,c_1240]) ).
tcf(c_20605,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_20429,c_1239]) ).
tcf(c_20606,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_20429,c_1238]) ).
tcf(c_20660,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2640]) ).
tcf(c_20661,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2580]) ).
tcf(c_20662,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2579]) ).
tcf(c_20663,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2578]) ).
tcf(c_20664,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2533]) ).
tcf(c_20665,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2532]) ).
tcf(c_20666,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2531]) ).
tcf(c_20667,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2512]) ).
tcf(c_20668,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2511]) ).
tcf(c_20669,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2510]) ).
tcf(c_20670,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2485]) ).
tcf(c_20671,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2484]) ).
tcf(c_20672,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2483]) ).
tcf(c_20673,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20499,c_2440]) ).
tcf(c_20674,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_20499,c_2432]) ).
tcf(c_20675,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_20499,c_1231]) ).
tcf(c_20676,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_20499,c_1233]) ).
tcf(c_20677,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_20499,c_1232]) ).
tcf(c_20678,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_20499,c_1237]) ).
tcf(c_20679,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_20499,c_1235]) ).
tcf(c_20680,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2427]) ).
tcf(c_20681,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_20499,c_1230]) ).
tcf(c_20682,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_20499,c_1229]) ).
tcf(c_20683,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_20499,c_1228]) ).
tcf(c_20684,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_20499,c_1240]) ).
tcf(c_20685,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_20499,c_1239]) ).
tcf(c_20686,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_20499,c_1238]) ).
tcf(c_20807,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2640]) ).
tcf(c_20808,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2580]) ).
tcf(c_20809,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2579]) ).
tcf(c_20810,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2578]) ).
tcf(c_20811,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2533]) ).
tcf(c_20812,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2532]) ).
tcf(c_20813,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2531]) ).
tcf(c_20814,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2512]) ).
tcf(c_20815,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2511]) ).
tcf(c_20816,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2510]) ).
tcf(c_20817,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2485]) ).
tcf(c_20818,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2484]) ).
tcf(c_20819,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2483]) ).
tcf(c_20820,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_20372,c_2440]) ).
tcf(c_20821,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20372,c_2432]) ).
tcf(c_20822,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_20372,c_1231]) ).
tcf(c_20823,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_20372,c_1233]) ).
tcf(c_20824,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_20372,c_1232]) ).
tcf(c_20825,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_20372,c_1237]) ).
tcf(c_20826,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_20372,c_1235]) ).
tcf(c_20827,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2427]) ).
tcf(c_20828,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_20372,c_1230]) ).
tcf(c_20829,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_20372,c_1229]) ).
tcf(c_20830,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_20372,c_1228]) ).
tcf(c_20831,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20372,c_1240]) ).
tcf(c_20832,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_20372,c_1239]) ).
tcf(c_20833,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_20372,c_1238]) ).
tcf(c_20844,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2640]) ).
tcf(c_20845,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2580]) ).
tcf(c_20846,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2579]) ).
tcf(c_20847,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2578]) ).
tcf(c_20848,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2533]) ).
tcf(c_20849,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2532]) ).
tcf(c_20850,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2531]) ).
tcf(c_20851,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2512]) ).
tcf(c_20852,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2511]) ).
tcf(c_20853,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2510]) ).
tcf(c_20854,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2485]) ).
tcf(c_20855,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2484]) ).
tcf(c_20856,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2483]) ).
tcf(c_20857,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20373,c_2440]) ).
tcf(c_20858,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20373,c_2432]) ).
tcf(c_20859,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_20373,c_1231]) ).
tcf(c_20860,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_20373,c_1233]) ).
tcf(c_20861,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_20373,c_1232]) ).
tcf(c_20862,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_20373,c_1237]) ).
tcf(c_20863,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_20373,c_1235]) ).
tcf(c_20864,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2427]) ).
tcf(c_20865,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_20373,c_1230]) ).
tcf(c_20866,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_20373,c_1229]) ).
tcf(c_20867,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_20373,c_1228]) ).
tcf(c_20868,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20373,c_1240]) ).
tcf(c_20869,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_20373,c_1239]) ).
tcf(c_20870,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_20373,c_1238]) ).
tcf(c_20899,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_8961,c_19941]) ).
tcf(c_20900,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_8086,c_19941]) ).
tcf(c_20909,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_8961,c_19938]) ).
tcf(c_20910,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_8086,c_19938]) ).
tcf(c_20914,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_19938,c_20370]) ).
tcf(c_20916,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_12150,c_20914]) ).
tcf(c_20918,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2640]) ).
tcf(c_20919,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2580]) ).
tcf(c_20920,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2579]) ).
tcf(c_20921,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2578]) ).
tcf(c_20922,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2533]) ).
tcf(c_20923,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2532]) ).
tcf(c_20924,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2531]) ).
tcf(c_20925,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2512]) ).
tcf(c_20926,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2511]) ).
tcf(c_20927,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2510]) ).
tcf(c_20928,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2485]) ).
tcf(c_20929,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2484]) ).
tcf(c_20930,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2483]) ).
tcf(c_20931,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20914,c_2440]) ).
tcf(c_20932,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20914,c_2432]) ).
tcf(c_20933,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_20914,c_1231]) ).
tcf(c_20934,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_20914,c_1233]) ).
tcf(c_20935,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_20914,c_1232]) ).
tcf(c_20936,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_20914,c_1237]) ).
tcf(c_20937,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_20914,c_1235]) ).
tcf(c_20939,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_20914,c_1230]) ).
tcf(c_20940,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_20914,c_1229]) ).
tcf(c_20941,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_20914,c_1228]) ).
tcf(c_21032,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2640]) ).
tcf(c_21033,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2580]) ).
tcf(c_21034,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2579]) ).
tcf(c_21035,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2578]) ).
tcf(c_21036,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2533]) ).
tcf(c_21037,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2532]) ).
tcf(c_21038,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2531]) ).
tcf(c_21039,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2512]) ).
tcf(c_21040,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2511]) ).
tcf(c_21041,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2510]) ).
tcf(c_21042,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2485]) ).
tcf(c_21043,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2484]) ).
tcf(c_21044,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2483]) ).
tcf(c_21045,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20916,c_2440]) ).
tcf(c_21046,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_20916,c_2432]) ).
tcf(c_21047,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_20916,c_1231]) ).
tcf(c_21048,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_20916,c_1233]) ).
tcf(c_21049,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_20916,c_1232]) ).
tcf(c_21050,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_20916,c_1237]) ).
tcf(c_21051,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_20916,c_1235]) ).
tcf(c_21052,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2427]) ).
tcf(c_21053,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_20916,c_1230]) ).
tcf(c_21054,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_20916,c_1229]) ).
tcf(c_21055,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_20916,c_1228]) ).
tcf(c_21056,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_20916,c_1240]) ).
tcf(c_21057,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_20916,c_1239]) ).
tcf(c_21058,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_20916,c_1238]) ).
tcf(c_21183,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9683,c_5744]) ).
tcf(c_21185,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8143,c_5744]) ).
tcf(c_21203,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_12115,c_12151]) ).
tcf(c_21205,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_12151,c_1245]) ).
tcf(c_21206,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_12151,c_11076]) ).
tcf(c_21207,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_12151,c_11515]) ).
tcf(c_21232,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12929,c_12156]) ).
tcf(c_21233,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_12156,c_1245]) ).
tcf(c_21234,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_12156,c_11080]) ).
tcf(c_21235,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_12156,c_13736]) ).
tcf(c_21267,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_12934,c_12157]) ).
tcf(c_21268,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_12157,c_1245]) ).
tcf(c_21269,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_12157,c_11081]) ).
tcf(c_21270,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_12157,c_13837]) ).
tcf(c_21287,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_12939,c_12158]) ).
tcf(c_21288,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_12158,c_1245]) ).
tcf(c_21289,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_12158,c_11082]) ).
tcf(c_21290,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_12158,c_13919]) ).
tcf(c_21326,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_21205,c_56,c_160,c_11466,c_21205]) ).
tcf(c_21332,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2640]) ).
tcf(c_21333,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2580]) ).
tcf(c_21334,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2579]) ).
tcf(c_21335,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2578]) ).
tcf(c_21336,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2533]) ).
tcf(c_21337,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2532]) ).
tcf(c_21338,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2531]) ).
tcf(c_21339,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2512]) ).
tcf(c_21340,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2511]) ).
tcf(c_21341,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2510]) ).
tcf(c_21342,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2485]) ).
tcf(c_21343,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2484]) ).
tcf(c_21344,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2483]) ).
tcf(c_21345,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_21326,c_2440]) ).
tcf(c_21346,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_21326,c_2432]) ).
tcf(c_21347,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_21326,c_1231]) ).
tcf(c_21348,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_21326,c_1233]) ).
tcf(c_21349,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_21326,c_1232]) ).
tcf(c_21350,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_21326,c_1237]) ).
tcf(c_21351,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_21326,c_1235]) ).
tcf(c_21352,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2427]) ).
tcf(c_21353,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_21326,c_1230]) ).
tcf(c_21354,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_21326,c_1229]) ).
tcf(c_21355,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_21326,c_1228]) ).
tcf(c_21356,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_21326,c_1240]) ).
tcf(c_21357,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21326,c_1239]) ).
tcf(c_21358,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_21326,c_1238]) ).
tcf(c_21440,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_21233,c_129,c_56,c_147,c_12930,c_21233]) ).
tcf(c_21445,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2640]) ).
tcf(c_21446,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2580]) ).
tcf(c_21447,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2579]) ).
tcf(c_21448,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2578]) ).
tcf(c_21449,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2533]) ).
tcf(c_21450,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2532]) ).
tcf(c_21451,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2531]) ).
tcf(c_21452,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2512]) ).
tcf(c_21453,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2511]) ).
tcf(c_21454,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2510]) ).
tcf(c_21455,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2485]) ).
tcf(c_21456,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2484]) ).
tcf(c_21457,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2483]) ).
tcf(c_21458,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_21440,c_2440]) ).
tcf(c_21459,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21440,c_2432]) ).
tcf(c_21460,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_21440,c_1231]) ).
tcf(c_21461,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_21440,c_1233]) ).
tcf(c_21462,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_21440,c_1232]) ).
tcf(c_21463,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_21440,c_1237]) ).
tcf(c_21464,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_21440,c_1235]) ).
tcf(c_21465,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2427]) ).
tcf(c_21466,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_21440,c_1230]) ).
tcf(c_21467,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_21440,c_1229]) ).
tcf(c_21468,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_21440,c_1228]) ).
tcf(c_21469,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21440,c_1240]) ).
tcf(c_21470,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_21440,c_1239]) ).
tcf(c_21471,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(xR)),
inference(superposition,[status(thm)],[c_21440,c_1238]) ).
tcf(c_21584,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_21268,c_133,c_56,c_147,c_12935,c_21268]) ).
tcf(c_21589,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2640]) ).
tcf(c_21590,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2580]) ).
tcf(c_21591,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2579]) ).
tcf(c_21592,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2578]) ).
tcf(c_21593,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2533]) ).
tcf(c_21594,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2532]) ).
tcf(c_21595,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2531]) ).
tcf(c_21596,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2512]) ).
tcf(c_21597,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2511]) ).
tcf(c_21598,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2510]) ).
tcf(c_21599,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2485]) ).
tcf(c_21600,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2484]) ).
tcf(c_21601,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2483]) ).
tcf(c_21602,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_21584,c_2440]) ).
tcf(c_21603,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_21584,c_2432]) ).
tcf(c_21604,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_21584,c_1231]) ).
tcf(c_21605,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_21584,c_1233]) ).
tcf(c_21606,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_21584,c_1232]) ).
tcf(c_21607,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_21584,c_1237]) ).
tcf(c_21608,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_21584,c_1235]) ).
tcf(c_21609,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2427]) ).
tcf(c_21610,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_21584,c_1230]) ).
tcf(c_21611,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_21584,c_1229]) ).
tcf(c_21612,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_21584,c_1228]) ).
tcf(c_21613,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_21584,c_1240]) ).
tcf(c_21614,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_21584,c_1239]) ).
tcf(c_21615,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(xS)),
inference(superposition,[status(thm)],[c_21584,c_1238]) ).
tcf(c_21624,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_21288,c_135,c_56,c_147,c_12940,c_21288]) ).
tcf(c_21629,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2640]) ).
tcf(c_21630,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2580]) ).
tcf(c_21631,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2579]) ).
tcf(c_21632,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2578]) ).
tcf(c_21633,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2533]) ).
tcf(c_21634,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2532]) ).
tcf(c_21635,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2531]) ).
tcf(c_21636,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2512]) ).
tcf(c_21637,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2511]) ).
tcf(c_21638,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2510]) ).
tcf(c_21639,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2485]) ).
tcf(c_21640,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2484]) ).
tcf(c_21641,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2483]) ).
tcf(c_21642,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_21624,c_2440]) ).
tcf(c_21643,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_21624,c_2432]) ).
tcf(c_21644,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_21624,c_1231]) ).
tcf(c_21645,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_21624,c_1233]) ).
tcf(c_21646,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_21624,c_1232]) ).
tcf(c_21647,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_21624,c_1237]) ).
tcf(c_21648,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_21624,c_1235]) ).
tcf(c_21649,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2427]) ).
tcf(c_21650,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_21624,c_1230]) ).
tcf(c_21651,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_21624,c_1229]) ).
tcf(c_21652,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_21624,c_1228]) ).
tcf(c_21653,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_21624,c_1240]) ).
tcf(c_21654,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_21624,c_1239]) ).
tcf(c_21655,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(xN)),
inference(superposition,[status(thm)],[c_21624,c_1238]) ).
tcf(c_21730,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_1161,c_14056]) ).
tcf(c_21740,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_1161,c_14057]) ).
tcf(c_21750,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_1161,c_14058]) ).
tcf(c_21751,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_14058]) ).
tcf(c_21752,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_14058]) ).
tcf(c_21757,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_21750]) ).
tcf(c_21758,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_21750]) ).
tcf(c_21779,plain,
smndt0(smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_14855,c_14861]) ).
tcf(c_21783,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9684,c_5839]) ).
tcf(c_21784,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8144,c_5839]) ).
tcf(c_21787,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9684,c_5840]) ).
tcf(c_21788,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8144,c_5840]) ).
tcf(c_21793,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10544,c_6660]) ).
tcf(c_21794,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9157,c_6660]) ).
tcf(c_21799,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10544,c_6661]) ).
tcf(c_21800,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9157,c_6661]) ).
tcf(c_21808,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9435,c_21779]) ).
tcf(c_21810,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_7331,c_21779]) ).
tcf(c_21813,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_21779,c_4010]) ).
tcf(c_21821,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_21808,c_9495]) ).
tcf(c_21822,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_21808,c_7335]) ).
tcf(c_21823,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21808,c_4282]) ).
tcf(c_21830,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_21810,c_7791]) ).
tcf(c_21840,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21813,c_4282]) ).
tcf(c_21841,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21813,c_4281]) ).
tcf(c_21869,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_21830,c_9495]) ).
tcf(c_21870,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_21830,c_7335]) ).
tcf(c_21871,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21830,c_4282]) ).
tcf(c_21872,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_21830,c_4281]) ).
tcf(c_21960,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_15110,c_5665]) ).
tcf(c_21961,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_15110,c_9682]) ).
tcf(c_21962,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_15110,c_5664]) ).
tcf(c_21963,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_15110,c_8142]) ).
tcf(c_21966,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_15110,c_5666]) ).
tcf(c_21968,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_15111,c_15117]) ).
tcf(c_21971,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_10548,c_6765]) ).
tcf(c_21972,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9161,c_6765]) ).
tcf(c_21975,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_10548,c_6766]) ).
tcf(c_21976,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9161,c_6766]) ).
tcf(c_21979,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_10549,c_6945]) ).
tcf(c_21980,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9162,c_6945]) ).
tcf(c_21983,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_10549,c_6946]) ).
tcf(c_21984,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9162,c_6946]) ).
tcf(c_21995,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_21968,c_3115]) ).
tcf(c_21996,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_21968,c_3114]) ).
tcf(c_21998,plain,
smndt0(sdtasdt0(xR,smndt0(xS))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_21968,c_2643]) ).
tcf(c_22004,plain,
smndt0(sdtasdt0(xS,smndt0(xR))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_10899,c_21998]) ).
tcf(c_22020,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22004,c_5665]) ).
tcf(c_22022,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_22004,c_5664]) ).
tcf(c_22026,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_22004,c_5666]) ).
tcf(c_22066,plain,
smndt0(smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_15180,c_15185]) ).
tcf(c_22071,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9674,c_22066]) ).
tcf(c_22073,plain,
smndt0(sdtasdt0(smndt0(xS),sz0z00)) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8134,c_22066]) ).
tcf(c_22076,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_22066,c_5315]) ).
tcf(c_22084,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22071,c_9678]) ).
tcf(c_22086,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22071,c_8138]) ).
tcf(c_22087,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22071,c_5570]) ).
tcf(c_22089,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_10550,c_6979]) ).
tcf(c_22090,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9163,c_6979]) ).
tcf(c_22093,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_10550,c_6980]) ).
tcf(c_22094,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9163,c_6980]) ).
tcf(c_22109,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_22073,c_8844]) ).
tcf(c_22118,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22076,c_5571]) ).
tcf(c_22120,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),smndt0(sdtasdt0(xS,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22076,c_5570]) ).
tcf(c_22148,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_22109,c_9678]) ).
tcf(c_22149,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22109,c_5571]) ).
tcf(c_22150,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_22109,c_8138]) ).
tcf(c_22151,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_22109,c_5570]) ).
tcf(c_22183,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,xS)))) ),
inference(superposition,[status(thm)],[c_16330,c_1245]) ).
tcf(c_22184,plain,
smndt0(smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_16448,c_16452]) ).
tcf(c_22189,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(sdtasdt0(xS,xS)) ),
inference(superposition,[status(thm)],[c_16336,c_22183]) ).
tcf(c_22190,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(sdtasdt0(xS,smndt0(xS)))) ),
inference(superposition,[status(thm)],[c_9676,c_22183]) ).
tcf(c_22191,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(sdtasdt0(smndt0(xS),xS))) ),
inference(superposition,[status(thm)],[c_8136,c_22183]) ).
tcf(c_22221,plain,
aScalar0(smndt0(sdtasdt0(xS,xS))),
inference(global_subsumption_just,[status(thm)],[c_22189,c_133,c_2445,c_2525,c_22189]) ).
tcf(c_22225,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2640]) ).
tcf(c_22226,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2580]) ).
tcf(c_22227,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2579]) ).
tcf(c_22228,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2578]) ).
tcf(c_22229,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2533]) ).
tcf(c_22230,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2532]) ).
tcf(c_22231,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2531]) ).
tcf(c_22232,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2512]) ).
tcf(c_22233,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2511]) ).
tcf(c_22234,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2510]) ).
tcf(c_22235,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2485]) ).
tcf(c_22236,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2484]) ).
tcf(c_22237,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2483]) ).
tcf(c_22238,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_22221,c_2440]) ).
tcf(c_22239,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_22221,c_2432]) ).
tcf(c_22240,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_22221,c_1231]) ).
tcf(c_22241,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_22221,c_1233]) ).
tcf(c_22242,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_22221,c_1232]) ).
tcf(c_22243,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_22221,c_1237]) ).
tcf(c_22244,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_22221,c_1235]) ).
tcf(c_22246,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_22221,c_1230]) ).
tcf(c_22247,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_22221,c_1229]) ).
tcf(c_22248,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_22221,c_1228]) ).
tcf(c_22294,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_10540,c_22184]) ).
tcf(c_22296,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9153,c_22184]) ).
tcf(c_22299,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_22184,c_6375]) ).
tcf(c_22307,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22294,c_6661]) ).
tcf(c_22309,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22294,c_10544]) ).
tcf(c_22310,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22294,c_9157]) ).
tcf(c_22329,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_22296,c_10218]) ).
tcf(c_22337,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22299,c_6661]) ).
tcf(c_22338,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22299,c_6660]) ).
tcf(c_22368,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22329,c_6661]) ).
tcf(c_22369,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_22329,c_6660]) ).
tcf(c_22370,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_22329,c_10544]) ).
tcf(c_22371,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_22329,c_9157]) ).
tcf(c_22460,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_16919,c_5665]) ).
tcf(c_22461,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_16919,c_9682]) ).
tcf(c_22462,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16919,c_5664]) ).
tcf(c_22463,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_16919,c_8142]) ).
tcf(c_22466,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_16919,c_5666]) ).
tcf(c_22497,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_17608]) ).
tcf(c_22498,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_17608]) ).
tcf(c_22582,plain,
smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_18465]) ).
tcf(c_22583,plain,
smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_18465]) ).
tcf(c_22646,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_19135]) ).
tcf(c_22647,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_19135]) ).
tcf(c_22650,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_19154,c_19157]) ).
tcf(c_22656,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_12147,c_22650]) ).
tcf(c_22658,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_11072,c_22650]) ).
tcf(c_22660,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_22650,c_11663]) ).
tcf(c_22677,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22656,c_12515]) ).
tcf(c_22685,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22658,c_12151]) ).
tcf(c_22686,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22658,c_11076]) ).
tcf(c_22913,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22677,c_12151]) ).
tcf(c_22914,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22677,c_11076]) ).
tcf(c_22965,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_21730,c_19905]) ).
tcf(c_22966,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_19903,c_19905]) ).
tcf(c_22975,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_22965,c_12156]) ).
tcf(c_22980,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_12148,c_22966]) ).
tcf(c_22983,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_22966,c_13051]) ).
tcf(c_22996,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_22980,c_20606]) ).
tcf(c_23017,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_22996,c_12156]) ).
tcf(c_23018,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_22996,c_11080]) ).
tcf(c_23040,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_21740,c_19930]) ).
tcf(c_23041,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_19928,c_19930]) ).
tcf(c_23050,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_23040,c_12157]) ).
tcf(c_23055,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_12149,c_23041]) ).
tcf(c_23058,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_23041,c_13265]) ).
tcf(c_23080,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_22677,c_11513]) ).
tcf(c_23081,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22660,c_11513]) ).
tcf(c_23082,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22658,c_11513]) ).
tcf(c_23083,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12151,c_11513]) ).
tcf(c_23084,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11076,c_11513]) ).
tcf(c_23110,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_23055,c_20686]) ).
tcf(c_23131,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_23110,c_12157]) ).
tcf(c_23132,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_23110,c_11081]) ).
tcf(c_23154,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_21750,c_19940]) ).
tcf(c_23155,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_19938,c_19940]) ).
tcf(c_23157,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_19940]) ).
tcf(c_23158,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_19940]) ).
tcf(c_23176,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_23154,c_12158]) ).
tcf(c_23181,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_12150,c_23155]) ).
tcf(c_23184,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_23155,c_13481]) ).
tcf(c_23197,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23181,c_21058]) ).
tcf(c_23209,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22677,c_11514]) ).
tcf(c_23210,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22660,c_11514]) ).
tcf(c_23212,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12151,c_11514]) ).
tcf(c_23213,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11076,c_11514]) ).
tcf(c_23259,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_22996,c_13734]) ).
tcf(c_23260,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22983,c_13734]) ).
tcf(c_23261,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22965,c_13734]) ).
tcf(c_23262,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_12156,c_13734]) ).
tcf(c_23263,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_11080,c_13734]) ).
tcf(c_23276,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23197,c_12158]) ).
tcf(c_23277,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23197,c_11082]) ).
tcf(c_23292,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_8961,c_23277]) ).
tcf(c_23293,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_8086,c_23277]) ).
tcf(c_23385,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22996,c_13735]) ).
tcf(c_23386,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22983,c_13735]) ).
tcf(c_23388,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_12156,c_13735]) ).
tcf(c_23389,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_11080,c_13735]) ).
tcf(c_23395,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_23110,c_13835]) ).
tcf(c_23396,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_23058,c_13835]) ).
tcf(c_23397,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_23040,c_13835]) ).
tcf(c_23398,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_12157,c_13835]) ).
tcf(c_23399,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_11081,c_13835]) ).
tcf(c_23419,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_23110,c_13836]) ).
tcf(c_23420,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_23058,c_13836]) ).
tcf(c_23422,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_12157,c_13836]) ).
tcf(c_23423,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_11081,c_13836]) ).
tcf(c_23437,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_23197,c_13917]) ).
tcf(c_23438,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23184,c_13917]) ).
tcf(c_23439,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23154,c_13917]) ).
tcf(c_23440,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_12158,c_13917]) ).
tcf(c_23441,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_11082,c_13917]) ).
tcf(c_23525,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_21961,c_15117]) ).
tcf(c_23538,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_21963,c_15117]) ).
tcf(c_23557,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23197,c_13918]) ).
tcf(c_23558,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23184,c_13918]) ).
tcf(c_23560,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_12158,c_13918]) ).
tcf(c_23561,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_11082,c_13918]) ).
tcf(c_23774,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_1245,c_3429]) ).
tcf(c_23775,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_1246,c_3429]) ).
tcf(c_23776,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_1247,c_3429]) ).
tcf(c_23787,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3664,c_3429]) ).
tcf(c_23788,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3731,c_3429]) ).
tcf(c_23789,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3795,c_3429]) ).
tcf(c_23790,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3842,c_3429]) ).
tcf(c_23791,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_8452,c_3429]) ).
tcf(c_23792,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_16154,c_3429]) ).
tcf(c_23796,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4682,c_3429]) ).
tcf(c_23797,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4795,c_3429]) ).
tcf(c_23798,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4265,c_3429]) ).
tcf(c_23799,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4340,c_3429]) ).
tcf(c_23800,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4441,c_3429]) ).
tcf(c_23801,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4862,c_3429]) ).
tcf(c_23802,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4538,c_3429]) ).
tcf(c_23803,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4954,c_3429]) ).
tcf(c_23807,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5923,c_3429]) ).
tcf(c_23808,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5979,c_3429]) ).
tcf(c_23809,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5553,c_3429]) ).
tcf(c_23810,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6043,c_3429]) ).
tcf(c_23811,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5648,c_3429]) ).
tcf(c_23812,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_5728,c_3429]) ).
tcf(c_23813,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_5824,c_3429]) ).
tcf(c_23818,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_7029,c_3429]) ).
tcf(c_23819,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_7247,c_3429]) ).
tcf(c_23820,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_6642,c_3429]) ).
tcf(c_23821,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_6749,c_3429]) ).
tcf(c_23822,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_7282,c_3429]) ).
tcf(c_23823,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_6929,c_3429]) ).
tcf(c_23824,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6963,c_3429]) ).
tcf(c_23825,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_7685,c_3429]) ).
tcf(c_23826,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_7511,c_3429]) ).
tcf(c_23827,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_7519,c_3429]) ).
tcf(c_23828,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_7789,c_3429]) ).
tcf(c_23829,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_7939,c_3429]) ).
tcf(c_23830,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9031,c_3429]) ).
tcf(c_23831,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_8480,c_3429]) ).
tcf(c_23832,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_8842,c_3429]) ).
tcf(c_23833,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9332,c_3429]) ).
tcf(c_23834,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9478,c_3429]) ).
tcf(c_23835,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9485,c_3429]) ).
tcf(c_23836,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10216,c_3429]) ).
tcf(c_23837,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_11489,c_3429]) ).
tcf(c_23838,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_13709,c_3429]) ).
tcf(c_23841,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_13810,c_3429]) ).
tcf(c_23844,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_13892,c_3429]) ).
tcf(c_23847,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19822,c_3429]) ).
tcf(c_23848,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_12486,c_3429]) ).
tcf(c_23849,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20429,c_3429]) ).
tcf(c_23851,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20499,c_3429]) ).
tcf(c_23853,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20916,c_3429]) ).
tcf(c_23855,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19944,c_3429]) ).
tcf(c_23856,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20033,c_3429]) ).
tcf(c_23857,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20914,c_3429]) ).
tcf(c_23858,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_14902,c_3429]) ).
tcf(c_23859,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_15012,c_3429]) ).
tcf(c_23860,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_15186,c_3429]) ).
tcf(c_23861,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_15291,c_3429]) ).
tcf(c_23862,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_15465,c_3429]) ).
tcf(c_23863,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_15827,c_3429]) ).
tcf(c_23864,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_16461,c_3429]) ).
tcf(c_23865,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_22221,c_3429]) ).
tcf(c_23866,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_16575,c_3429]) ).
tcf(c_23867,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_16675,c_3429]) ).
tcf(c_23868,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17000,c_3429]) ).
tcf(c_23869,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17263,c_3429]) ).
tcf(c_23870,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17377,c_3429]) ).
tcf(c_23871,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17474,c_3429]) ).
tcf(c_23872,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17784,c_3429]) ).
tcf(c_23873,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17886,c_3429]) ).
tcf(c_23874,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17983,c_3429]) ).
tcf(c_23875,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18156,c_3429]) ).
tcf(c_23876,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17889,c_3429]) ).
tcf(c_23877,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17890,c_3429]) ).
tcf(c_23878,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18584,c_3429]) ).
tcf(c_23879,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18681,c_3429]) ).
tcf(c_23880,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18781,c_3429]) ).
tcf(c_23881,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18684,c_3429]) ).
tcf(c_23882,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18685,c_3429]) ).
tcf(c_23883,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19159,c_3429]) ).
tcf(c_23884,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19274,c_3429]) ).
tcf(c_23885,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19345,c_3429]) ).
tcf(c_23886,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19464,c_3429]) ).
tcf(c_23887,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19348,c_3429]) ).
tcf(c_23888,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19349,c_3429]) ).
tcf(c_23889,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19942,c_3429]) ).
tcf(c_23890,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20031,c_3429]) ).
tcf(c_23891,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20370,c_3429]) ).
tcf(c_23892,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_20372,c_3429]) ).
tcf(c_23893,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20373,c_3429]) ).
tcf(c_23894,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_21326,c_3429]) ).
tcf(c_23895,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_21440,c_3429]) ).
tcf(c_23896,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_21584,c_3429]) ).
tcf(c_23897,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_21624,c_3429]) ).
tcf(c_24378,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_1245,c_3468]) ).
tcf(c_24379,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_1246,c_3468]) ).
tcf(c_24380,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_1247,c_3468]) ).
tcf(c_24391,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3664,c_3468]) ).
tcf(c_24392,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3731,c_3468]) ).
tcf(c_24393,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3795,c_3468]) ).
tcf(c_24394,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3842,c_3468]) ).
tcf(c_24395,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_8452,c_3468]) ).
tcf(c_24396,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16154,c_3468]) ).
tcf(c_24400,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4682,c_3468]) ).
tcf(c_24401,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4795,c_3468]) ).
tcf(c_24402,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4265,c_3468]) ).
tcf(c_24403,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4340,c_3468]) ).
tcf(c_24404,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4441,c_3468]) ).
tcf(c_24405,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4862,c_3468]) ).
tcf(c_24406,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4538,c_3468]) ).
tcf(c_24407,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4954,c_3468]) ).
tcf(c_24411,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5923,c_3468]) ).
tcf(c_24412,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5979,c_3468]) ).
tcf(c_24413,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5553,c_3468]) ).
tcf(c_24414,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6043,c_3468]) ).
tcf(c_24415,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5648,c_3468]) ).
tcf(c_24416,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5728,c_3468]) ).
tcf(c_24417,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5824,c_3468]) ).
tcf(c_24422,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_7029,c_3468]) ).
tcf(c_24423,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_7247,c_3468]) ).
tcf(c_24424,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6642,c_3468]) ).
tcf(c_24425,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6749,c_3468]) ).
tcf(c_24426,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_7282,c_3468]) ).
tcf(c_24427,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6929,c_3468]) ).
tcf(c_24428,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6963,c_3468]) ).
tcf(c_24429,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_7685,c_3468]) ).
tcf(c_24430,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_7511,c_3468]) ).
tcf(c_24431,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_7519,c_3468]) ).
tcf(c_24432,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_7789,c_3468]) ).
tcf(c_24433,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_7939,c_3468]) ).
tcf(c_24434,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_9031,c_3468]) ).
tcf(c_24435,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_8480,c_3468]) ).
tcf(c_24436,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_8842,c_3468]) ).
tcf(c_24437,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_9332,c_3468]) ).
tcf(c_24438,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_9478,c_3468]) ).
tcf(c_24439,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_9485,c_3468]) ).
tcf(c_24440,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_10216,c_3468]) ).
tcf(c_24441,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_11489,c_3468]) ).
tcf(c_24442,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_13709,c_3468]) ).
tcf(c_24445,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_13810,c_3468]) ).
tcf(c_24448,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_13892,c_3468]) ).
tcf(c_24451,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19822,c_3468]) ).
tcf(c_24452,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_12486,c_3468]) ).
tcf(c_24453,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_20429,c_3468]) ).
tcf(c_24455,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20499,c_3468]) ).
tcf(c_24457,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20916,c_3468]) ).
tcf(c_24459,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19944,c_3468]) ).
tcf(c_24460,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20033,c_3468]) ).
tcf(c_24461,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20914,c_3468]) ).
tcf(c_24462,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_14902,c_3468]) ).
tcf(c_24463,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15012,c_3468]) ).
tcf(c_24464,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15186,c_3468]) ).
tcf(c_24465,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15291,c_3468]) ).
tcf(c_24466,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15465,c_3468]) ).
tcf(c_24467,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15827,c_3468]) ).
tcf(c_24468,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16461,c_3468]) ).
tcf(c_24469,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_22221,c_3468]) ).
tcf(c_24470,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16575,c_3468]) ).
tcf(c_24471,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16675,c_3468]) ).
tcf(c_24472,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17000,c_3468]) ).
tcf(c_24473,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17263,c_3468]) ).
tcf(c_24474,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17377,c_3468]) ).
tcf(c_24475,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17474,c_3468]) ).
tcf(c_24476,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17784,c_3468]) ).
tcf(c_24477,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17886,c_3468]) ).
tcf(c_24478,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17983,c_3468]) ).
tcf(c_24479,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18156,c_3468]) ).
tcf(c_24480,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17889,c_3468]) ).
tcf(c_24481,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17890,c_3468]) ).
tcf(c_24482,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18584,c_3468]) ).
tcf(c_24483,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18681,c_3468]) ).
tcf(c_24484,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18781,c_3468]) ).
tcf(c_24485,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18684,c_3468]) ).
tcf(c_24486,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18685,c_3468]) ).
tcf(c_24487,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19159,c_3468]) ).
tcf(c_24488,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19274,c_3468]) ).
tcf(c_24489,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19345,c_3468]) ).
tcf(c_24490,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19464,c_3468]) ).
tcf(c_24491,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19348,c_3468]) ).
tcf(c_24492,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19349,c_3468]) ).
tcf(c_24493,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19942,c_3468]) ).
tcf(c_24494,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_20031,c_3468]) ).
tcf(c_24495,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_20370,c_3468]) ).
tcf(c_24496,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20372,c_3468]) ).
tcf(c_24497,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20373,c_3468]) ).
tcf(c_24498,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21326,c_3468]) ).
tcf(c_24499,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21440,c_3468]) ).
tcf(c_24500,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21584,c_3468]) ).
tcf(c_24501,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21624,c_3468]) ).
tcf(c_25219,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_4043,c_14858]) ).
tcf(c_25222,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_16865,c_25219]) ).
tcf(c_25256,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_23538,c_15858]) ).
tcf(c_25290,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_25256,c_4457]) ).
tcf(c_25291,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_25256,c_4456]) ).
tcf(c_25308,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_4043,c_14859]) ).
tcf(c_25317,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_16865,c_25308]) ).
tcf(c_25338,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_21961,c_15113]) ).
tcf(c_25344,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_1167,c_15113]) ).
tcf(c_25346,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_21963,c_25344]) ).
tcf(c_25347,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_21961,c_25344]) ).
tcf(c_25348,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_16922,c_25344]) ).
tcf(c_25391,plain,
sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_1167,c_15114]) ).
tcf(c_25393,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21961,c_15114]) ).
tcf(c_25399,plain,
sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_21963,c_25391]) ).
tcf(c_25400,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21961,c_25391]) ).
tcf(c_25401,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16922,c_25391]) ).
tcf(c_25429,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5405,c_15183]) ).
tcf(c_25438,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17702,c_25429]) ).
tcf(c_25458,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_5405,c_15695]) ).
tcf(c_25461,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_17702,c_25458]) ).
tcf(c_25574,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8961,c_17605]) ).
tcf(c_25575,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8086,c_17605]) ).
tcf(c_25579,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8961,c_17606]) ).
tcf(c_25580,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8086,c_17606]) ).
tcf(c_25591,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_23525,c_18187]) ).
tcf(c_25598,plain,
sdtasdt0(xR,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_22497,c_18294]) ).
tcf(c_25602,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_22498,c_18372]) ).
tcf(c_25629,plain,
sdtasdt0(xR,sdtasdt0(xS,xR)) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25598,c_9501]) ).
tcf(c_25630,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25598,c_7341]) ).
tcf(c_25640,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25602,c_25598]) ).
tcf(c_25641,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25602,c_9501]) ).
tcf(c_25642,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_25602,c_7341]) ).
tcf(c_25746,plain,
sdtasdt0(xS,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_22582,c_18949]) ).
tcf(c_25754,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_25746,c_5840]) ).
tcf(c_25755,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_25746,c_5839]) ).
tcf(c_25756,plain,
sdtasdt0(xS,sdtasdt0(xS,xR)) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25746,c_9684]) ).
tcf(c_25757,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25746,c_8144]) ).
tcf(c_25781,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8086,c_25756]) ).
tcf(c_25824,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8086,c_21783]) ).
tcf(c_25834,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8086,c_21787]) ).
tcf(c_25837,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_22583,c_19047]) ).
tcf(c_25865,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25837,c_9684]) ).
tcf(c_25866,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_25837,c_8144]) ).
tcf(c_25897,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6464,c_21793]) ).
tcf(c_25913,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6464,c_21794]) ).
tcf(c_25935,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_6464,c_21799]) ).
tcf(c_25951,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_6464,c_21800]) ).
tcf(c_25969,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_22646,c_19610]) ).
tcf(c_25973,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_22647,c_19729]) ).
tcf(c_26021,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_25969,c_6980]) ).
tcf(c_26022,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_25969,c_6979]) ).
tcf(c_26023,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25969,c_10550]) ).
tcf(c_26024,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25969,c_9163]) ).
tcf(c_26032,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25973,c_25969]) ).
tcf(c_26033,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_25973,c_6980]) ).
tcf(c_26034,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_25973,c_6979]) ).
tcf(c_26035,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25973,c_10550]) ).
tcf(c_26036,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_25973,c_9163]) ).
tcf(c_26141,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_23157,c_20833]) ).
tcf(c_26148,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_23158,c_20870]) ).
tcf(c_26164,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_26141,c_13918]) ).
tcf(c_26165,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_26141,c_13917]) ).
tcf(c_26169,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_26141,c_12158]) ).
tcf(c_26170,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_26141,c_11082]) ).
tcf(c_26182,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_26148,c_26141]) ).
tcf(c_26183,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_26148,c_13918]) ).
tcf(c_26184,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_26148,c_13917]) ).
tcf(c_26188,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_26148,c_12158]) ).
tcf(c_26189,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_26148,c_11082]) ).
tcf(c_26369,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12115,c_23083]) ).
tcf(c_26379,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_21206,c_26369]) ).
tcf(c_26410,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12115,c_23212]) ).
tcf(c_26413,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_21206,c_26410]) ).
tcf(c_26425,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2610]) ).
tcf(c_26426,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_1177,c_2610]) ).
tcf(c_26427,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_1173,c_2610]) ).
tcf(c_26428,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_1171,c_2610]) ).
tcf(c_26429,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2610]) ).
tcf(c_26430,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2610]) ).
tcf(c_26431,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_1245,c_2610]) ).
tcf(c_26432,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_1246,c_2610]) ).
tcf(c_26433,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_1247,c_2610]) ).
tcf(c_26434,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2610]) ).
tcf(c_26435,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2610]) ).
tcf(c_26436,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2610]) ).
tcf(c_26437,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2610]) ).
tcf(c_26439,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2610]) ).
tcf(c_26440,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2610]) ).
tcf(c_26441,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2610]) ).
tcf(c_26442,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2610]) ).
tcf(c_26443,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2610]) ).
tcf(c_26444,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2610]) ).
tcf(c_26445,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2610]) ).
tcf(c_26446,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2610]) ).
tcf(c_26447,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2610]) ).
tcf(c_26448,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2610]) ).
tcf(c_26449,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2610]) ).
tcf(c_26450,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2610]) ).
tcf(c_26451,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2610]) ).
tcf(c_26452,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2610]) ).
tcf(c_26453,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2610]) ).
tcf(c_26454,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2610]) ).
tcf(c_26455,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2610]) ).
tcf(c_26456,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2610]) ).
tcf(c_26457,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2610]) ).
tcf(c_26458,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2610]) ).
tcf(c_26459,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2610]) ).
tcf(c_26460,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2610]) ).
tcf(c_26461,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2610]) ).
tcf(c_26462,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2610]) ).
tcf(c_26463,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2610]) ).
tcf(c_26464,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2610]) ).
tcf(c_26465,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2610]) ).
tcf(c_26466,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2610]) ).
tcf(c_26467,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2610]) ).
tcf(c_26468,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2610]) ).
tcf(c_26469,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2610]) ).
tcf(c_26470,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2610]) ).
tcf(c_26471,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2610]) ).
tcf(c_26472,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2610]) ).
tcf(c_26473,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2610]) ).
tcf(c_26474,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2610]) ).
tcf(c_26475,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2610]) ).
tcf(c_26476,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2610]) ).
tcf(c_26477,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2610]) ).
tcf(c_26478,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2610]) ).
tcf(c_26479,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2610]) ).
tcf(c_26480,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2610]) ).
tcf(c_26481,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2610]) ).
tcf(c_26482,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2610]) ).
tcf(c_26483,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2610]) ).
tcf(c_26484,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2610]) ).
tcf(c_26485,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2610]) ).
tcf(c_26486,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2610]) ).
tcf(c_26487,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2610]) ).
tcf(c_26488,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2610]) ).
tcf(c_26489,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2610]) ).
tcf(c_26490,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2610]) ).
tcf(c_26491,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2610]) ).
tcf(c_26492,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2610]) ).
tcf(c_26493,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2610]) ).
tcf(c_26494,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2610]) ).
tcf(c_26495,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2610]) ).
tcf(c_26497,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2610]) ).
tcf(c_26498,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2610]) ).
tcf(c_26500,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2610]) ).
tcf(c_26501,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2610]) ).
tcf(c_26503,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2610]) ).
tcf(c_26504,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2610]) ).
tcf(c_26505,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2610]) ).
tcf(c_26506,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2610]) ).
tcf(c_26508,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2610]) ).
tcf(c_26510,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2610]) ).
tcf(c_26512,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2610]) ).
tcf(c_26513,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2610]) ).
tcf(c_26514,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2610]) ).
tcf(c_26515,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2610]) ).
tcf(c_26516,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2610]) ).
tcf(c_26517,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2610]) ).
tcf(c_26518,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2610]) ).
tcf(c_26519,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2610]) ).
tcf(c_26520,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2610]) ).
tcf(c_26521,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2610]) ).
tcf(c_26522,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2610]) ).
tcf(c_26523,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2610]) ).
tcf(c_26524,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2610]) ).
tcf(c_26525,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2610]) ).
tcf(c_26526,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2610]) ).
tcf(c_26527,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2610]) ).
tcf(c_26528,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2610]) ).
tcf(c_26529,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2610]) ).
tcf(c_26530,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2610]) ).
tcf(c_26531,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2610]) ).
tcf(c_26532,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2610]) ).
tcf(c_26533,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2610]) ).
tcf(c_26534,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2610]) ).
tcf(c_26535,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2610]) ).
tcf(c_26536,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2610]) ).
tcf(c_26537,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2610]) ).
tcf(c_26538,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2610]) ).
tcf(c_26539,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2610]) ).
tcf(c_26540,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2610]) ).
tcf(c_26541,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2610]) ).
tcf(c_26542,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2610]) ).
tcf(c_26543,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2610]) ).
tcf(c_26544,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2610]) ).
tcf(c_26545,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2610]) ).
tcf(c_26546,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2610]) ).
tcf(c_26547,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2610]) ).
tcf(c_26548,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2610]) ).
tcf(c_26549,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2610]) ).
tcf(c_26550,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2610]) ).
tcf(c_26551,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2610]) ).
tcf(c_26552,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2610]) ).
tcf(c_26553,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2610]) ).
tcf(c_26554,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2610]) ).
tcf(c_26956,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_26426,c_9357]) ).
tcf(c_26957,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(smndt0(xN),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_26426,c_9356]) ).
tcf(c_26958,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xR))) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_26426,c_9334]) ).
tcf(c_26972,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_26425,c_10244]) ).
tcf(c_26973,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_26425,c_10243]) ).
tcf(c_26975,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_26425,c_10218]) ).
tcf(c_26980,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_26427,c_9907]) ).
tcf(c_26981,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(smndt0(xN),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_26427,c_9906]) ).
tcf(c_26982,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xS))) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_26427,c_9480]) ).
tcf(c_26987,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_26428,c_10060]) ).
tcf(c_26988,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(smndt0(xN),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_26428,c_10059]) ).
tcf(c_26989,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xN))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_26428,c_9487]) ).
tcf(c_26992,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_19109,c_26958]) ).
tcf(c_26998,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_18555,c_26975]) ).
tcf(c_27001,plain,
smndt0(smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_16448,c_26975]) ).
tcf(c_27003,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_1161,c_26975]) ).
tcf(c_27013,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_27001,c_6369]) ).
tcf(c_27014,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_27001,c_6368]) ).
tcf(c_27017,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_27001,c_6375]) ).
tcf(c_27026,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_27003,c_10244]) ).
tcf(c_27044,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_19116,c_26982]) ).
tcf(c_27050,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_26036,c_26989]) ).
tcf(c_27051,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_26024,c_26989]) ).
tcf(c_27052,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_19133,c_26989]) ).
tcf(c_27061,plain,
sdtasdt0(xN,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_26992,c_19189]) ).
tcf(c_27063,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2611]) ).
tcf(c_27064,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_1177,c_2611]) ).
tcf(c_27065,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_1173,c_2611]) ).
tcf(c_27066,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_1171,c_2611]) ).
tcf(c_27067,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2611]) ).
tcf(c_27068,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2611]) ).
tcf(c_27069,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_1245,c_2611]) ).
tcf(c_27070,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_1246,c_2611]) ).
tcf(c_27071,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_1247,c_2611]) ).
tcf(c_27072,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2611]) ).
tcf(c_27073,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2611]) ).
tcf(c_27074,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2611]) ).
tcf(c_27075,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2611]) ).
tcf(c_27077,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2611]) ).
tcf(c_27078,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2611]) ).
tcf(c_27079,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2611]) ).
tcf(c_27080,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2611]) ).
tcf(c_27081,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2611]) ).
tcf(c_27082,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2611]) ).
tcf(c_27083,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2611]) ).
tcf(c_27084,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2611]) ).
tcf(c_27085,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2611]) ).
tcf(c_27086,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2611]) ).
tcf(c_27087,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2611]) ).
tcf(c_27088,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2611]) ).
tcf(c_27089,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2611]) ).
tcf(c_27090,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2611]) ).
tcf(c_27091,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2611]) ).
tcf(c_27092,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2611]) ).
tcf(c_27093,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2611]) ).
tcf(c_27094,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2611]) ).
tcf(c_27095,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2611]) ).
tcf(c_27096,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2611]) ).
tcf(c_27097,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2611]) ).
tcf(c_27098,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2611]) ).
tcf(c_27099,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2611]) ).
tcf(c_27100,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2611]) ).
tcf(c_27101,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2611]) ).
tcf(c_27102,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2611]) ).
tcf(c_27103,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2611]) ).
tcf(c_27104,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2611]) ).
tcf(c_27105,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2611]) ).
tcf(c_27106,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2611]) ).
tcf(c_27107,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2611]) ).
tcf(c_27108,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2611]) ).
tcf(c_27109,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2611]) ).
tcf(c_27110,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2611]) ).
tcf(c_27111,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2611]) ).
tcf(c_27112,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2611]) ).
tcf(c_27113,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2611]) ).
tcf(c_27114,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2611]) ).
tcf(c_27115,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2611]) ).
tcf(c_27116,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2611]) ).
tcf(c_27117,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2611]) ).
tcf(c_27118,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2611]) ).
tcf(c_27119,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2611]) ).
tcf(c_27120,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2611]) ).
tcf(c_27121,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2611]) ).
tcf(c_27122,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2611]) ).
tcf(c_27123,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2611]) ).
tcf(c_27124,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2611]) ).
tcf(c_27125,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2611]) ).
tcf(c_27126,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2611]) ).
tcf(c_27127,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2611]) ).
tcf(c_27128,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2611]) ).
tcf(c_27129,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2611]) ).
tcf(c_27130,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2611]) ).
tcf(c_27131,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2611]) ).
tcf(c_27132,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2611]) ).
tcf(c_27133,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2611]) ).
tcf(c_27135,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2611]) ).
tcf(c_27136,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2611]) ).
tcf(c_27138,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2611]) ).
tcf(c_27139,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2611]) ).
tcf(c_27141,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2611]) ).
tcf(c_27142,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2611]) ).
tcf(c_27143,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2611]) ).
tcf(c_27144,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2611]) ).
tcf(c_27146,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2611]) ).
tcf(c_27148,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2611]) ).
tcf(c_27150,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2611]) ).
tcf(c_27151,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2611]) ).
tcf(c_27152,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2611]) ).
tcf(c_27153,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2611]) ).
tcf(c_27154,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2611]) ).
tcf(c_27155,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2611]) ).
tcf(c_27156,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2611]) ).
tcf(c_27157,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2611]) ).
tcf(c_27158,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2611]) ).
tcf(c_27159,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2611]) ).
tcf(c_27160,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2611]) ).
tcf(c_27161,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2611]) ).
tcf(c_27162,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2611]) ).
tcf(c_27163,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2611]) ).
tcf(c_27164,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2611]) ).
tcf(c_27165,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2611]) ).
tcf(c_27166,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2611]) ).
tcf(c_27167,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2611]) ).
tcf(c_27168,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2611]) ).
tcf(c_27169,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2611]) ).
tcf(c_27170,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2611]) ).
tcf(c_27171,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2611]) ).
tcf(c_27172,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2611]) ).
tcf(c_27173,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2611]) ).
tcf(c_27174,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2611]) ).
tcf(c_27175,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2611]) ).
tcf(c_27176,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2611]) ).
tcf(c_27177,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2611]) ).
tcf(c_27178,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2611]) ).
tcf(c_27179,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2611]) ).
tcf(c_27180,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2611]) ).
tcf(c_27181,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2611]) ).
tcf(c_27182,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2611]) ).
tcf(c_27183,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2611]) ).
tcf(c_27184,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2611]) ).
tcf(c_27185,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2611]) ).
tcf(c_27186,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2611]) ).
tcf(c_27187,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2611]) ).
tcf(c_27188,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2611]) ).
tcf(c_27189,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2611]) ).
tcf(c_27190,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2611]) ).
tcf(c_27191,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2611]) ).
tcf(c_27192,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2611]) ).
tcf(c_28151,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6466,c_27064]) ).
tcf(c_28152,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),xR))
| ~ aScalar0(sdtasdt0(smndt0(xN),xR)) ),
inference(superposition,[status(thm)],[c_27064,c_1245]) ).
tcf(c_28153,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_27064,c_26426]) ).
tcf(c_28154,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_27064,c_9357]) ).
tcf(c_28155,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(smndt0(smndt0(xN)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_27064,c_9356]) ).
tcf(c_28156,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_27064,c_9334]) ).
tcf(c_28157,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_27064,c_9337]) ).
tcf(c_28395,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6554,c_27065]) ).
tcf(c_28396,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),xS))
| ~ aScalar0(sdtasdt0(smndt0(xN),xS)) ),
inference(superposition,[status(thm)],[c_27065,c_1245]) ).
tcf(c_28397,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_27065,c_26427]) ).
tcf(c_28398,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_27065,c_9907]) ).
tcf(c_28399,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(smndt0(smndt0(xN)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_27065,c_9906]) ).
tcf(c_28400,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_27065,c_9480]) ).
tcf(c_28401,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_27065,c_9483]) ).
tcf(c_28678,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6557,c_27066]) ).
tcf(c_28679,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),xN))
| ~ aScalar0(sdtasdt0(smndt0(xN),xN)) ),
inference(superposition,[status(thm)],[c_27066,c_1245]) ).
tcf(c_28680,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_27066,c_26428]) ).
tcf(c_28681,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_27066,c_10060]) ).
tcf(c_28682,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(smndt0(smndt0(xN)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_27066,c_10059]) ).
tcf(c_28683,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_27066,c_9487]) ).
tcf(c_28684,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_27066,c_9490]) ).
tcf(c_29047,plain,
sdtasdt0(sdtasdt0(xS,xR),xR) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_8961,c_28157]) ).
tcf(c_29048,plain,
sdtasdt0(sdtasdt0(xR,xS),xR) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_8086,c_28157]) ).
tcf(c_29050,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_8961,c_28401]) ).
tcf(c_29051,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_8086,c_28401]) ).
tcf(c_29053,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8961,c_28684]) ).
tcf(c_29054,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8086,c_28684]) ).
tcf(c_29073,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_26998,c_18812]) ).
tcf(c_29087,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(global_subsumption_just,[status(thm)],[c_28152,c_9332,c_28152]) ).
tcf(c_29090,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_8961,c_29087]) ).
tcf(c_29091,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_8086,c_29087]) ).
tcf(c_29093,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2611]) ).
tcf(c_29094,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2610]) ).
tcf(c_29095,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_29087,c_3468]) ).
tcf(c_29096,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29087,c_3429]) ).
tcf(c_29097,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2640]) ).
tcf(c_29098,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2580]) ).
tcf(c_29099,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2579]) ).
tcf(c_29100,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2578]) ).
tcf(c_29101,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2533]) ).
tcf(c_29102,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2532]) ).
tcf(c_29103,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2531]) ).
tcf(c_29104,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2512]) ).
tcf(c_29105,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2511]) ).
tcf(c_29106,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2510]) ).
tcf(c_29107,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2485]) ).
tcf(c_29108,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2484]) ).
tcf(c_29109,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2483]) ).
tcf(c_29110,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29087,c_2440]) ).
tcf(c_29111,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29087,c_2432]) ).
tcf(c_29112,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_29087,c_1231]) ).
tcf(c_29113,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_29087,c_1233]) ).
tcf(c_29114,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_29087,c_1232]) ).
tcf(c_29115,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_29087,c_1237]) ).
tcf(c_29116,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_29087,c_1235]) ).
tcf(c_29117,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2427]) ).
tcf(c_29118,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_29087,c_1230]) ).
tcf(c_29119,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_29087,c_1229]) ).
tcf(c_29120,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_29087,c_1228]) ).
tcf(c_29121,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29087,c_1240]) ).
tcf(c_29122,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),sdtasdt0(smndt0(smndt0(xN)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_29087,c_1239]) ).
tcf(c_29123,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(smndt0(xN)),xR),
inference(superposition,[status(thm)],[c_29087,c_1238]) ).
tcf(c_30542,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(global_subsumption_just,[status(thm)],[c_28396,c_9478,c_28396]) ).
tcf(c_30545,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_8961,c_30542]) ).
tcf(c_30546,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_8086,c_30542]) ).
tcf(c_30548,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2611]) ).
tcf(c_30549,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2610]) ).
tcf(c_30550,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_30542,c_3468]) ).
tcf(c_30551,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30542,c_3429]) ).
tcf(c_30552,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2640]) ).
tcf(c_30553,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2580]) ).
tcf(c_30554,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2579]) ).
tcf(c_30555,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2578]) ).
tcf(c_30556,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2533]) ).
tcf(c_30557,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2532]) ).
tcf(c_30558,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2531]) ).
tcf(c_30559,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2512]) ).
tcf(c_30560,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2511]) ).
tcf(c_30561,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2510]) ).
tcf(c_30562,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2485]) ).
tcf(c_30563,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2484]) ).
tcf(c_30564,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2483]) ).
tcf(c_30565,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30542,c_2440]) ).
tcf(c_30566,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30542,c_2432]) ).
tcf(c_30567,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_30542,c_1231]) ).
tcf(c_30568,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_30542,c_1233]) ).
tcf(c_30569,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_30542,c_1232]) ).
tcf(c_30570,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_30542,c_1237]) ).
tcf(c_30571,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_30542,c_1235]) ).
tcf(c_30572,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2427]) ).
tcf(c_30573,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_30542,c_1230]) ).
tcf(c_30574,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_30542,c_1229]) ).
tcf(c_30575,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_30542,c_1228]) ).
tcf(c_30576,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30542,c_1240]) ).
tcf(c_30577,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),sdtasdt0(smndt0(smndt0(xN)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_30542,c_1239]) ).
tcf(c_30578,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(smndt0(xN)),xS),
inference(superposition,[status(thm)],[c_30542,c_1238]) ).
tcf(c_31722,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(global_subsumption_just,[status(thm)],[c_28679,c_9485,c_28679]) ).
tcf(c_31725,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_8961,c_31722]) ).
tcf(c_31726,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_8086,c_31722]) ).
tcf(c_31728,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2611]) ).
tcf(c_31729,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2610]) ).
tcf(c_31730,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_31722,c_3468]) ).
tcf(c_31731,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31722,c_3429]) ).
tcf(c_31732,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2640]) ).
tcf(c_31733,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2580]) ).
tcf(c_31734,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2579]) ).
tcf(c_31735,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2578]) ).
tcf(c_31736,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2533]) ).
tcf(c_31737,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2532]) ).
tcf(c_31738,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2531]) ).
tcf(c_31739,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2512]) ).
tcf(c_31740,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2511]) ).
tcf(c_31741,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2510]) ).
tcf(c_31742,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2485]) ).
tcf(c_31743,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2484]) ).
tcf(c_31744,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2483]) ).
tcf(c_31745,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31722,c_2440]) ).
tcf(c_31746,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31722,c_2432]) ).
tcf(c_31747,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_31722,c_1231]) ).
tcf(c_31748,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_31722,c_1233]) ).
tcf(c_31749,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_31722,c_1232]) ).
tcf(c_31750,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_31722,c_1237]) ).
tcf(c_31751,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_31722,c_1235]) ).
tcf(c_31752,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2427]) ).
tcf(c_31753,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_31722,c_1230]) ).
tcf(c_31754,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_31722,c_1229]) ).
tcf(c_31755,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_31722,c_1228]) ).
tcf(c_31756,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31722,c_1240]) ).
tcf(c_31757,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),sdtasdt0(smndt0(smndt0(xN)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_31722,c_1239]) ).
tcf(c_31758,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(smndt0(xN)),xN),
inference(superposition,[status(thm)],[c_31722,c_1238]) ).
tcf(c_32923,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(sdtasdt0(xS,xR),xR),
inference(superposition,[status(thm)],[c_8961,c_29123]) ).
tcf(c_32924,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(sdtasdt0(xR,xS),xR),
inference(superposition,[status(thm)],[c_8086,c_29123]) ).
tcf(c_33307,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2611]) ).
tcf(c_33308,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2610]) ).
tcf(c_33309,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_29090,c_3468]) ).
tcf(c_33310,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29090,c_3429]) ).
tcf(c_33311,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2640]) ).
tcf(c_33312,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2580]) ).
tcf(c_33313,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2579]) ).
tcf(c_33314,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2578]) ).
tcf(c_33315,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2533]) ).
tcf(c_33316,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2532]) ).
tcf(c_33317,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2531]) ).
tcf(c_33318,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2512]) ).
tcf(c_33319,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2511]) ).
tcf(c_33320,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2510]) ).
tcf(c_33321,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2485]) ).
tcf(c_33322,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2484]) ).
tcf(c_33323,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2483]) ).
tcf(c_33324,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29090,c_2440]) ).
tcf(c_33325,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29090,c_2432]) ).
tcf(c_33326,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_29090,c_1231]) ).
tcf(c_33327,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_29090,c_1233]) ).
tcf(c_33328,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_29090,c_1232]) ).
tcf(c_33329,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_29090,c_1237]) ).
tcf(c_33330,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_29090,c_1235]) ).
tcf(c_33331,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2427]) ).
tcf(c_33332,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_29090,c_1230]) ).
tcf(c_33333,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_29090,c_1229]) ).
tcf(c_33334,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_29090,c_1228]) ).
tcf(c_33335,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29090,c_1240]) ).
tcf(c_33336,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),sdtasdt0(sdtasdt0(xS,xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_29090,c_1239]) ).
tcf(c_34252,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2611]) ).
tcf(c_34253,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2610]) ).
tcf(c_34254,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_29091,c_3468]) ).
tcf(c_34255,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29091,c_3429]) ).
tcf(c_34256,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2640]) ).
tcf(c_34257,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2580]) ).
tcf(c_34258,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2579]) ).
tcf(c_34259,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2578]) ).
tcf(c_34260,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2533]) ).
tcf(c_34261,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2532]) ).
tcf(c_34262,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2531]) ).
tcf(c_34263,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2512]) ).
tcf(c_34264,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2511]) ).
tcf(c_34265,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2510]) ).
tcf(c_34266,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2485]) ).
tcf(c_34267,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2484]) ).
tcf(c_34268,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2483]) ).
tcf(c_34269,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29091,c_2440]) ).
tcf(c_34270,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29091,c_2432]) ).
tcf(c_34271,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_29091,c_1231]) ).
tcf(c_34272,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_29091,c_1233]) ).
tcf(c_34273,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_29091,c_1232]) ).
tcf(c_34274,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_29091,c_1237]) ).
tcf(c_34275,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_29091,c_1235]) ).
tcf(c_34276,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2427]) ).
tcf(c_34277,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_29091,c_1230]) ).
tcf(c_34278,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_29091,c_1229]) ).
tcf(c_34279,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_29091,c_1228]) ).
tcf(c_34280,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29091,c_1240]) ).
tcf(c_34281,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),sdtasdt0(sdtasdt0(xR,xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_29091,c_1239]) ).
tcf(c_34337,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2611]) ).
tcf(c_34338,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2610]) ).
tcf(c_34339,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_30545,c_3468]) ).
tcf(c_34340,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30545,c_3429]) ).
tcf(c_34341,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2640]) ).
tcf(c_34342,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2580]) ).
tcf(c_34343,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2579]) ).
tcf(c_34344,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2578]) ).
tcf(c_34345,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2533]) ).
tcf(c_34346,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2532]) ).
tcf(c_34347,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2531]) ).
tcf(c_34348,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2512]) ).
tcf(c_34349,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2511]) ).
tcf(c_34350,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2510]) ).
tcf(c_34351,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2485]) ).
tcf(c_34352,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2484]) ).
tcf(c_34353,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2483]) ).
tcf(c_34354,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30545,c_2440]) ).
tcf(c_34355,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30545,c_2432]) ).
tcf(c_34356,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_30545,c_1231]) ).
tcf(c_34357,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_30545,c_1233]) ).
tcf(c_34358,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_30545,c_1232]) ).
tcf(c_34359,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_30545,c_1237]) ).
tcf(c_34360,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_30545,c_1235]) ).
tcf(c_34361,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2427]) ).
tcf(c_34362,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_30545,c_1230]) ).
tcf(c_34363,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_30545,c_1229]) ).
tcf(c_34364,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_30545,c_1228]) ).
tcf(c_34365,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30545,c_1240]) ).
tcf(c_34366,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),sdtasdt0(sdtasdt0(xS,xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_30545,c_1239]) ).
tcf(c_34367,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(sdtasdt0(xS,xR),xS),
inference(superposition,[status(thm)],[c_30545,c_1238]) ).
tcf(c_34379,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2611]) ).
tcf(c_34380,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2610]) ).
tcf(c_34381,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_30546,c_3468]) ).
tcf(c_34382,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30546,c_3429]) ).
tcf(c_34383,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2640]) ).
tcf(c_34384,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2580]) ).
tcf(c_34385,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2579]) ).
tcf(c_34386,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2578]) ).
tcf(c_34387,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2533]) ).
tcf(c_34388,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2532]) ).
tcf(c_34389,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2531]) ).
tcf(c_34390,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2512]) ).
tcf(c_34391,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2511]) ).
tcf(c_34392,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2510]) ).
tcf(c_34393,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2485]) ).
tcf(c_34394,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2484]) ).
tcf(c_34395,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2483]) ).
tcf(c_34396,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30546,c_2440]) ).
tcf(c_34397,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30546,c_2432]) ).
tcf(c_34398,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_30546,c_1231]) ).
tcf(c_34399,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_30546,c_1233]) ).
tcf(c_34400,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_30546,c_1232]) ).
tcf(c_34401,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_30546,c_1237]) ).
tcf(c_34402,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_30546,c_1235]) ).
tcf(c_34403,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2427]) ).
tcf(c_34404,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_30546,c_1230]) ).
tcf(c_34405,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_30546,c_1229]) ).
tcf(c_34406,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_30546,c_1228]) ).
tcf(c_34407,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30546,c_1240]) ).
tcf(c_34408,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),sdtasdt0(sdtasdt0(xR,xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_30546,c_1239]) ).
tcf(c_34409,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(sdtasdt0(xR,xS),xS),
inference(superposition,[status(thm)],[c_30546,c_1238]) ).
tcf(c_34676,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2611]) ).
tcf(c_34677,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2610]) ).
tcf(c_34678,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_31725,c_3468]) ).
tcf(c_34679,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31725,c_3429]) ).
tcf(c_34680,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2640]) ).
tcf(c_34681,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2580]) ).
tcf(c_34682,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2579]) ).
tcf(c_34683,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2578]) ).
tcf(c_34684,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2533]) ).
tcf(c_34685,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2532]) ).
tcf(c_34686,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2531]) ).
tcf(c_34687,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2512]) ).
tcf(c_34688,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2511]) ).
tcf(c_34689,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2510]) ).
tcf(c_34690,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2485]) ).
tcf(c_34691,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2484]) ).
tcf(c_34692,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2483]) ).
tcf(c_34693,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31725,c_2440]) ).
tcf(c_34694,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31725,c_2432]) ).
tcf(c_34695,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_31725,c_1231]) ).
tcf(c_34696,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_31725,c_1233]) ).
tcf(c_34697,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_31725,c_1232]) ).
tcf(c_34698,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_31725,c_1237]) ).
tcf(c_34699,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_31725,c_1235]) ).
tcf(c_34700,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2427]) ).
tcf(c_34701,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_31725,c_1230]) ).
tcf(c_34702,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_31725,c_1229]) ).
tcf(c_34703,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_31725,c_1228]) ).
tcf(c_34704,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31725,c_1240]) ).
tcf(c_34705,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),sdtasdt0(sdtasdt0(xS,xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_31725,c_1239]) ).
tcf(c_34706,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(sdtasdt0(xS,xR),xN),
inference(superposition,[status(thm)],[c_31725,c_1238]) ).
tcf(c_34718,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2611]) ).
tcf(c_34719,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2610]) ).
tcf(c_34720,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_31726,c_3468]) ).
tcf(c_34721,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31726,c_3429]) ).
tcf(c_34722,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2640]) ).
tcf(c_34723,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2580]) ).
tcf(c_34724,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2579]) ).
tcf(c_34725,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2578]) ).
tcf(c_34726,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2533]) ).
tcf(c_34727,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2532]) ).
tcf(c_34728,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2531]) ).
tcf(c_34729,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2512]) ).
tcf(c_34730,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2511]) ).
tcf(c_34731,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2510]) ).
tcf(c_34732,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2485]) ).
tcf(c_34733,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2484]) ).
tcf(c_34734,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2483]) ).
tcf(c_34735,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31726,c_2440]) ).
tcf(c_34736,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31726,c_2432]) ).
tcf(c_34737,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_31726,c_1231]) ).
tcf(c_34738,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_31726,c_1233]) ).
tcf(c_34739,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_31726,c_1232]) ).
tcf(c_34740,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_31726,c_1237]) ).
tcf(c_34741,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_31726,c_1235]) ).
tcf(c_34742,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2427]) ).
tcf(c_34743,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_31726,c_1230]) ).
tcf(c_34744,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_31726,c_1229]) ).
tcf(c_34745,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_31726,c_1228]) ).
tcf(c_34746,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31726,c_1240]) ).
tcf(c_34747,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),sdtasdt0(sdtasdt0(xR,xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_31726,c_1239]) ).
tcf(c_34748,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(sdtasdt0(xR,xS),xN),
inference(superposition,[status(thm)],[c_31726,c_1238]) ).
tcf(c_34766,plain,
sdtasdt0(xN,smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_27044,c_19304]) ).
tcf(c_34774,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_27050,c_19729]) ).
tcf(c_34780,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_27051,c_19610]) ).
tcf(c_34790,plain,
sdtasdt0(xN,smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_27052,c_19377]) ).
tcf(c_34797,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_27061,c_27064]) ).
tcf(c_34799,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_27061,c_9357]) ).
tcf(c_34800,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(xN,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_27061,c_9356]) ).
tcf(c_34825,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6459,c_27063]) ).
tcf(c_34827,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))
| ~ aScalar0(sdtasdt0(smndt0(xN),sz0z00)) ),
inference(superposition,[status(thm)],[c_27063,c_1245]) ).
tcf(c_34828,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_27063,c_27017]) ).
tcf(c_34829,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_27063,c_27003]) ).
tcf(c_34830,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_27063,c_26425]) ).
tcf(c_34831,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_27063,c_10244]) ).
tcf(c_34832,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_27063,c_10243]) ).
tcf(c_34833,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_27063,c_22296]) ).
tcf(c_34834,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_27063,c_10218]) ).
tcf(c_34835,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_27063,c_10221]) ).
tcf(c_34836,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_8961,c_34835]) ).
tcf(c_34837,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_8086,c_34835]) ).
tcf(c_34843,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_8961,c_34828]) ).
tcf(c_34844,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_8086,c_34828]) ).
tcf(c_34850,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8961,c_34829]) ).
tcf(c_34851,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8086,c_34829]) ).
tcf(c_34874,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8961,c_34833]) ).
tcf(c_34875,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8086,c_34833]) ).
tcf(c_34911,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_34827,c_10216,c_34827]) ).
tcf(c_34917,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_8961,c_34911]) ).
tcf(c_34918,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_8086,c_34911]) ).
tcf(c_34920,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2611]) ).
tcf(c_34921,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2610]) ).
tcf(c_34922,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_34911,c_3468]) ).
tcf(c_34923,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34911,c_3429]) ).
tcf(c_34924,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2640]) ).
tcf(c_34925,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2580]) ).
tcf(c_34926,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2579]) ).
tcf(c_34927,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2578]) ).
tcf(c_34928,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2533]) ).
tcf(c_34929,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2532]) ).
tcf(c_34930,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2531]) ).
tcf(c_34931,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2512]) ).
tcf(c_34932,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2511]) ).
tcf(c_34933,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2510]) ).
tcf(c_34934,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2485]) ).
tcf(c_34935,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2484]) ).
tcf(c_34936,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2483]) ).
tcf(c_34937,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34911,c_2440]) ).
tcf(c_34938,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34911,c_2432]) ).
tcf(c_34939,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_34911,c_1231]) ).
tcf(c_34940,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_34911,c_1233]) ).
tcf(c_34941,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_34911,c_1232]) ).
tcf(c_34942,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_34911,c_1237]) ).
tcf(c_34943,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_34911,c_1235]) ).
tcf(c_34944,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2427]) ).
tcf(c_34945,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_34911,c_1230]) ).
tcf(c_34946,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_34911,c_1229]) ).
tcf(c_34947,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_34911,c_1228]) ).
tcf(c_34948,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34911,c_1240]) ).
tcf(c_34949,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34911,c_1239]) ).
tcf(c_34950,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(smndt0(xN)),sz0z00),
inference(superposition,[status(thm)],[c_34911,c_1238]) ).
tcf(c_35154,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(sdtasdt0(xS,xR),sz0z00),
inference(superposition,[status(thm)],[c_8961,c_34950]) ).
tcf(c_35155,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(sdtasdt0(xR,xS),sz0z00),
inference(superposition,[status(thm)],[c_8086,c_34950]) ).
tcf(c_35163,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2611]) ).
tcf(c_35164,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2610]) ).
tcf(c_35165,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_34917,c_3468]) ).
tcf(c_35166,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34917,c_3429]) ).
tcf(c_35167,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2640]) ).
tcf(c_35168,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2580]) ).
tcf(c_35169,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2579]) ).
tcf(c_35170,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2578]) ).
tcf(c_35171,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2533]) ).
tcf(c_35172,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2532]) ).
tcf(c_35173,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2531]) ).
tcf(c_35174,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2512]) ).
tcf(c_35175,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2511]) ).
tcf(c_35176,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2510]) ).
tcf(c_35177,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2485]) ).
tcf(c_35178,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2484]) ).
tcf(c_35179,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2483]) ).
tcf(c_35180,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34917,c_2440]) ).
tcf(c_35181,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34917,c_2432]) ).
tcf(c_35182,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_34917,c_1231]) ).
tcf(c_35183,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_34917,c_1233]) ).
tcf(c_35184,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_34917,c_1232]) ).
tcf(c_35185,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_34917,c_1237]) ).
tcf(c_35186,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_34917,c_1235]) ).
tcf(c_35187,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2427]) ).
tcf(c_35188,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_34917,c_1230]) ).
tcf(c_35189,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_34917,c_1229]) ).
tcf(c_35190,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_34917,c_1228]) ).
tcf(c_35191,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34917,c_1240]) ).
tcf(c_35192,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34917,c_1239]) ).
tcf(c_35636,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2611]) ).
tcf(c_35637,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2610]) ).
tcf(c_35638,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_34918,c_3468]) ).
tcf(c_35639,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34918,c_3429]) ).
tcf(c_35640,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2640]) ).
tcf(c_35641,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2580]) ).
tcf(c_35642,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2579]) ).
tcf(c_35643,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2578]) ).
tcf(c_35644,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2533]) ).
tcf(c_35645,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2532]) ).
tcf(c_35646,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2531]) ).
tcf(c_35647,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2512]) ).
tcf(c_35648,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2511]) ).
tcf(c_35649,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2510]) ).
tcf(c_35650,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2485]) ).
tcf(c_35651,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2484]) ).
tcf(c_35652,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2483]) ).
tcf(c_35653,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34918,c_2440]) ).
tcf(c_35654,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34918,c_2432]) ).
tcf(c_35655,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_34918,c_1231]) ).
tcf(c_35656,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_34918,c_1233]) ).
tcf(c_35657,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_34918,c_1232]) ).
tcf(c_35658,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_34918,c_1237]) ).
tcf(c_35659,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_34918,c_1235]) ).
tcf(c_35660,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2427]) ).
tcf(c_35661,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_34918,c_1230]) ).
tcf(c_35662,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_34918,c_1229]) ).
tcf(c_35663,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_34918,c_1228]) ).
tcf(c_35664,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34918,c_1240]) ).
tcf(c_35665,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34918,c_1239]) ).
tcf(c_35735,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_28151,c_6766]) ).
tcf(c_35736,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_28151,c_6765]) ).
tcf(c_35740,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_28151,c_6767]) ).
tcf(c_35742,plain,
sdtasdt0(sdtasdt0(xS,xR),xR) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_8961,c_28153]) ).
tcf(c_35743,plain,
sdtasdt0(sdtasdt0(xR,xS),xR) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_8086,c_28153]) ).
tcf(c_35751,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8961,c_28156]) ).
tcf(c_35752,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8086,c_28156]) ).
tcf(c_35760,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_28395,c_6946]) ).
tcf(c_35761,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_28395,c_6945]) ).
tcf(c_35762,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_28395,c_10549]) ).
tcf(c_35765,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_28395,c_6947]) ).
tcf(c_35767,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_8961,c_28397]) ).
tcf(c_35768,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_8086,c_28397]) ).
tcf(c_35776,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8961,c_28400]) ).
tcf(c_35777,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8086,c_28400]) ).
tcf(c_36125,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_28678,c_25973]) ).
tcf(c_36126,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_28678,c_25969]) ).
tcf(c_36127,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_28678,c_6980]) ).
tcf(c_36128,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_28678,c_6979]) ).
tcf(c_36129,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_28678,c_10550]) ).
tcf(c_36132,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_28678,c_6981]) ).
tcf(c_36134,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_28680]) ).
tcf(c_36135,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_28680]) ).
tcf(c_36143,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8961,c_28683]) ).
tcf(c_36144,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8086,c_28683]) ).
tcf(c_36148,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2612]) ).
tcf(c_36149,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_1177,c_2612]) ).
tcf(c_36150,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_1173,c_2612]) ).
tcf(c_36151,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_1171,c_2612]) ).
tcf(c_36152,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2612]) ).
tcf(c_36153,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2612]) ).
tcf(c_36154,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_1245,c_2612]) ).
tcf(c_36155,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_1246,c_2612]) ).
tcf(c_36156,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_1247,c_2612]) ).
tcf(c_36157,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2612]) ).
tcf(c_36158,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2612]) ).
tcf(c_36159,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2612]) ).
tcf(c_36160,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2612]) ).
tcf(c_36162,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2612]) ).
tcf(c_36163,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2612]) ).
tcf(c_36164,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2612]) ).
tcf(c_36165,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2612]) ).
tcf(c_36166,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2612]) ).
tcf(c_36167,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2612]) ).
tcf(c_36168,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2612]) ).
tcf(c_36169,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2612]) ).
tcf(c_36170,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2612]) ).
tcf(c_36171,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2612]) ).
tcf(c_36172,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2612]) ).
tcf(c_36173,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2612]) ).
tcf(c_36174,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2612]) ).
tcf(c_36175,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2612]) ).
tcf(c_36176,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2612]) ).
tcf(c_36177,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2612]) ).
tcf(c_36178,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2612]) ).
tcf(c_36179,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2612]) ).
tcf(c_36180,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2612]) ).
tcf(c_36181,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2612]) ).
tcf(c_36182,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2612]) ).
tcf(c_36183,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2612]) ).
tcf(c_36184,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2612]) ).
tcf(c_36185,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2612]) ).
tcf(c_36186,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2612]) ).
tcf(c_36187,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2612]) ).
tcf(c_36188,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2612]) ).
tcf(c_36189,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2612]) ).
tcf(c_36190,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2612]) ).
tcf(c_36191,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2612]) ).
tcf(c_36192,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2612]) ).
tcf(c_36193,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2612]) ).
tcf(c_36194,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2612]) ).
tcf(c_36195,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2612]) ).
tcf(c_36196,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2612]) ).
tcf(c_36197,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2612]) ).
tcf(c_36198,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2612]) ).
tcf(c_36199,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2612]) ).
tcf(c_36200,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2612]) ).
tcf(c_36201,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2612]) ).
tcf(c_36202,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2612]) ).
tcf(c_36203,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2612]) ).
tcf(c_36204,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2612]) ).
tcf(c_36205,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2612]) ).
tcf(c_36206,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2612]) ).
tcf(c_36207,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2612]) ).
tcf(c_36208,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2612]) ).
tcf(c_36209,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2612]) ).
tcf(c_36210,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2612]) ).
tcf(c_36211,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2612]) ).
tcf(c_36212,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2612]) ).
tcf(c_36213,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2612]) ).
tcf(c_36214,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2612]) ).
tcf(c_36215,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2612]) ).
tcf(c_36216,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2612]) ).
tcf(c_36217,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2612]) ).
tcf(c_36218,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2612]) ).
tcf(c_36220,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2612]) ).
tcf(c_36221,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2612]) ).
tcf(c_36223,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2612]) ).
tcf(c_36224,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2612]) ).
tcf(c_36226,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2612]) ).
tcf(c_36227,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2612]) ).
tcf(c_36228,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2612]) ).
tcf(c_36229,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2612]) ).
tcf(c_36231,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2612]) ).
tcf(c_36233,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2612]) ).
tcf(c_36235,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2612]) ).
tcf(c_36236,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2612]) ).
tcf(c_36237,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2612]) ).
tcf(c_36238,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2612]) ).
tcf(c_36239,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2612]) ).
tcf(c_36240,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2612]) ).
tcf(c_36241,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2612]) ).
tcf(c_36242,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2612]) ).
tcf(c_36243,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2612]) ).
tcf(c_36244,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2612]) ).
tcf(c_36245,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2612]) ).
tcf(c_36246,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2612]) ).
tcf(c_36247,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2612]) ).
tcf(c_36248,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2612]) ).
tcf(c_36249,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2612]) ).
tcf(c_36250,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2612]) ).
tcf(c_36251,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2612]) ).
tcf(c_36252,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2612]) ).
tcf(c_36253,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2612]) ).
tcf(c_36254,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2612]) ).
tcf(c_36255,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2612]) ).
tcf(c_36256,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2612]) ).
tcf(c_36257,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2612]) ).
tcf(c_36258,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2612]) ).
tcf(c_36259,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2612]) ).
tcf(c_36260,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2612]) ).
tcf(c_36261,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2612]) ).
tcf(c_36262,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2612]) ).
tcf(c_36263,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2612]) ).
tcf(c_36264,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2612]) ).
tcf(c_36265,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2612]) ).
tcf(c_36266,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2612]) ).
tcf(c_36267,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2612]) ).
tcf(c_36268,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2612]) ).
tcf(c_36269,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2612]) ).
tcf(c_36270,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2612]) ).
tcf(c_36271,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2612]) ).
tcf(c_36272,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2612]) ).
tcf(c_36273,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2612]) ).
tcf(c_36274,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2612]) ).
tcf(c_36275,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2612]) ).
tcf(c_36276,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2612]) ).
tcf(c_36277,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2612]) ).
tcf(c_36278,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2612]) ).
tcf(c_36279,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2612]) ).
tcf(c_36280,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2612]) ).
tcf(c_36281,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2612]) ).
tcf(c_36282,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2612]) ).
tcf(c_36283,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2612]) ).
tcf(c_36284,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2612]) ).
tcf(c_36285,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2612]) ).
tcf(c_36286,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2612]) ).
tcf(c_36287,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2612]) ).
tcf(c_36288,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2612]) ).
tcf(c_36289,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2612]) ).
tcf(c_36734,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8961,c_36149]) ).
tcf(c_36735,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8086,c_36149]) ).
tcf(c_36760,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8961,c_36150]) ).
tcf(c_36761,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8086,c_36150]) ).
tcf(c_36764,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8961,c_36151]) ).
tcf(c_36765,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8086,c_36151]) ).
tcf(c_36777,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_29073,c_27063]) ).
tcf(c_36781,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_29073,c_10244]) ).
tcf(c_36782,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_29073,c_10243]) ).
tcf(c_36793,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_34766,c_9907]) ).
tcf(c_36794,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(xN,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_34766,c_9906]) ).
tcf(c_36836,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_34774,c_10060]) ).
tcf(c_36837,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_34774,c_10059]) ).
tcf(c_36849,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_34780,c_10060]) ).
tcf(c_36850,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_34780,c_10059]) ).
tcf(c_36864,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_34790,c_10060]) ).
tcf(c_36865,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_34790,c_10059]) ).
tcf(c_36870,plain,
sdtasdt0(sdtasdt0(xS,xR),xR) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_8961,c_34797]) ).
tcf(c_36871,plain,
sdtasdt0(sdtasdt0(xR,xS),xR) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_8086,c_34797]) ).
tcf(c_36891,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34825,c_6661]) ).
tcf(c_36892,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34825,c_6660]) ).
tcf(c_36896,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_34825,c_6662]) ).
tcf(c_36919,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8961,c_34830]) ).
tcf(c_36920,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8086,c_34830]) ).
tcf(c_36934,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8961,c_34834]) ).
tcf(c_36935,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8086,c_34834]) ).
tcf(c_37159,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_8961,c_35740]) ).
tcf(c_37160,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_8086,c_35740]) ).
tcf(c_37176,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2889]) ).
tcf(c_37177,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_1177,c_2889]) ).
tcf(c_37178,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_1173,c_2889]) ).
tcf(c_37179,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_1171,c_2889]) ).
tcf(c_37180,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2889]) ).
tcf(c_37181,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2889]) ).
tcf(c_37182,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_1245,c_2889]) ).
tcf(c_37183,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_1246,c_2889]) ).
tcf(c_37184,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_1247,c_2889]) ).
tcf(c_37185,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2889]) ).
tcf(c_37186,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2889]) ).
tcf(c_37187,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2889]) ).
tcf(c_37188,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2889]) ).
tcf(c_37190,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2889]) ).
tcf(c_37191,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2889]) ).
tcf(c_37192,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2889]) ).
tcf(c_37193,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2889]) ).
tcf(c_37194,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2889]) ).
tcf(c_37195,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2889]) ).
tcf(c_37196,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2889]) ).
tcf(c_37197,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2889]) ).
tcf(c_37198,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2889]) ).
tcf(c_37199,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2889]) ).
tcf(c_37200,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2889]) ).
tcf(c_37201,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2889]) ).
tcf(c_37202,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2889]) ).
tcf(c_37203,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2889]) ).
tcf(c_37204,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2889]) ).
tcf(c_37205,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2889]) ).
tcf(c_37206,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2889]) ).
tcf(c_37207,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2889]) ).
tcf(c_37208,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2889]) ).
tcf(c_37209,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2889]) ).
tcf(c_37210,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2889]) ).
tcf(c_37211,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2889]) ).
tcf(c_37212,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2889]) ).
tcf(c_37213,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2889]) ).
tcf(c_37214,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2889]) ).
tcf(c_37215,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2889]) ).
tcf(c_37216,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2889]) ).
tcf(c_37217,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2889]) ).
tcf(c_37218,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2889]) ).
tcf(c_37219,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2889]) ).
tcf(c_37220,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2889]) ).
tcf(c_37221,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2889]) ).
tcf(c_37222,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2889]) ).
tcf(c_37223,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2889]) ).
tcf(c_37224,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2889]) ).
tcf(c_37225,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2889]) ).
tcf(c_37226,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2889]) ).
tcf(c_37227,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2889]) ).
tcf(c_37228,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2889]) ).
tcf(c_37229,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2889]) ).
tcf(c_37230,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2889]) ).
tcf(c_37231,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2889]) ).
tcf(c_37232,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2889]) ).
tcf(c_37233,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2889]) ).
tcf(c_37234,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2889]) ).
tcf(c_37235,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2889]) ).
tcf(c_37236,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2889]) ).
tcf(c_37237,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2889]) ).
tcf(c_37238,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2889]) ).
tcf(c_37239,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2889]) ).
tcf(c_37240,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2889]) ).
tcf(c_37241,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2889]) ).
tcf(c_37242,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2889]) ).
tcf(c_37243,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2889]) ).
tcf(c_37244,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2889]) ).
tcf(c_37245,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2889]) ).
tcf(c_37246,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2889]) ).
tcf(c_37248,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2889]) ).
tcf(c_37249,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2889]) ).
tcf(c_37251,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2889]) ).
tcf(c_37252,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2889]) ).
tcf(c_37254,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2889]) ).
tcf(c_37255,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2889]) ).
tcf(c_37256,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2889]) ).
tcf(c_37257,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2889]) ).
tcf(c_37259,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2889]) ).
tcf(c_37261,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2889]) ).
tcf(c_37263,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2889]) ).
tcf(c_37264,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2889]) ).
tcf(c_37265,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2889]) ).
tcf(c_37266,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2889]) ).
tcf(c_37267,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2889]) ).
tcf(c_37268,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2889]) ).
tcf(c_37269,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2889]) ).
tcf(c_37270,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2889]) ).
tcf(c_37271,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2889]) ).
tcf(c_37272,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2889]) ).
tcf(c_37273,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2889]) ).
tcf(c_37274,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2889]) ).
tcf(c_37275,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2889]) ).
tcf(c_37276,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2889]) ).
tcf(c_37277,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2889]) ).
tcf(c_37278,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2889]) ).
tcf(c_37279,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2889]) ).
tcf(c_37280,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2889]) ).
tcf(c_37281,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2889]) ).
tcf(c_37282,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2889]) ).
tcf(c_37283,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2889]) ).
tcf(c_37284,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2889]) ).
tcf(c_37285,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2889]) ).
tcf(c_37286,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2889]) ).
tcf(c_37287,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2889]) ).
tcf(c_37288,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2889]) ).
tcf(c_37289,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2889]) ).
tcf(c_37290,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2889]) ).
tcf(c_37291,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2889]) ).
tcf(c_37292,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2889]) ).
tcf(c_37293,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2889]) ).
tcf(c_37294,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2889]) ).
tcf(c_37295,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2889]) ).
tcf(c_37296,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2889]) ).
tcf(c_37297,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2889]) ).
tcf(c_37298,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2889]) ).
tcf(c_37299,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2889]) ).
tcf(c_37300,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2889]) ).
tcf(c_37301,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2889]) ).
tcf(c_37302,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2889]) ).
tcf(c_37303,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2889]) ).
tcf(c_37304,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2889]) ).
tcf(c_37305,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2889]) ).
tcf(c_37306,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2889]) ).
tcf(c_37307,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2889]) ).
tcf(c_37308,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2889]) ).
tcf(c_37309,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2889]) ).
tcf(c_37310,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2889]) ).
tcf(c_37311,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2889]) ).
tcf(c_37312,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2889]) ).
tcf(c_37313,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2889]) ).
tcf(c_37314,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2889]) ).
tcf(c_37315,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2889]) ).
tcf(c_37316,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2889]) ).
tcf(c_37317,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2889]) ).
tcf(c_37909,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_37177,c_20605]) ).
tcf(c_37910,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_37177,c_20604]) ).
tcf(c_37912,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_37177,c_20606]) ).
tcf(c_37920,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_37178,c_20685]) ).
tcf(c_37921,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_37178,c_20684]) ).
tcf(c_37923,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_37178,c_20686]) ).
tcf(c_37962,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_37179,c_21057]) ).
tcf(c_37963,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_37179,c_21056]) ).
tcf(c_37965,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_37179,c_21058]) ).
tcf(c_37978,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_8961,c_35762]) ).
tcf(c_37979,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_8086,c_35762]) ).
tcf(c_37991,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_8961,c_35765]) ).
tcf(c_37992,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_8086,c_35765]) ).
tcf(c_38014,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_35776,c_34367]) ).
tcf(c_38020,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_35777,c_34409]) ).
tcf(c_38054,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_8961,c_36125]) ).
tcf(c_38055,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_8086,c_36125]) ).
tcf(c_38066,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8961,c_36126]) ).
tcf(c_38067,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8086,c_36126]) ).
tcf(c_38096,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8961,c_36132]) ).
tcf(c_38097,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8086,c_36132]) ).
tcf(c_38102,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2890]) ).
tcf(c_38103,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_1177,c_2890]) ).
tcf(c_38104,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_1173,c_2890]) ).
tcf(c_38105,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_1171,c_2890]) ).
tcf(c_38106,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2890]) ).
tcf(c_38107,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2890]) ).
tcf(c_38108,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_1245,c_2890]) ).
tcf(c_38109,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_1246,c_2890]) ).
tcf(c_38110,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_1247,c_2890]) ).
tcf(c_38111,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2890]) ).
tcf(c_38112,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2890]) ).
tcf(c_38113,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2890]) ).
tcf(c_38114,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2890]) ).
tcf(c_38116,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2890]) ).
tcf(c_38117,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2890]) ).
tcf(c_38118,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2890]) ).
tcf(c_38119,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2890]) ).
tcf(c_38120,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2890]) ).
tcf(c_38121,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2890]) ).
tcf(c_38122,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2890]) ).
tcf(c_38123,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2890]) ).
tcf(c_38124,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2890]) ).
tcf(c_38125,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2890]) ).
tcf(c_38126,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2890]) ).
tcf(c_38127,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2890]) ).
tcf(c_38128,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2890]) ).
tcf(c_38129,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2890]) ).
tcf(c_38130,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2890]) ).
tcf(c_38131,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2890]) ).
tcf(c_38132,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2890]) ).
tcf(c_38133,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2890]) ).
tcf(c_38134,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2890]) ).
tcf(c_38135,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2890]) ).
tcf(c_38136,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2890]) ).
tcf(c_38137,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2890]) ).
tcf(c_38138,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2890]) ).
tcf(c_38139,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2890]) ).
tcf(c_38140,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2890]) ).
tcf(c_38141,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2890]) ).
tcf(c_38142,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2890]) ).
tcf(c_38143,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2890]) ).
tcf(c_38144,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2890]) ).
tcf(c_38145,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2890]) ).
tcf(c_38146,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2890]) ).
tcf(c_38147,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2890]) ).
tcf(c_38148,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2890]) ).
tcf(c_38149,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2890]) ).
tcf(c_38150,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2890]) ).
tcf(c_38151,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2890]) ).
tcf(c_38152,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2890]) ).
tcf(c_38153,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2890]) ).
tcf(c_38154,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2890]) ).
tcf(c_38155,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2890]) ).
tcf(c_38156,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2890]) ).
tcf(c_38157,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2890]) ).
tcf(c_38158,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2890]) ).
tcf(c_38159,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2890]) ).
tcf(c_38160,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2890]) ).
tcf(c_38161,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2890]) ).
tcf(c_38162,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2890]) ).
tcf(c_38163,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2890]) ).
tcf(c_38164,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2890]) ).
tcf(c_38165,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2890]) ).
tcf(c_38166,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2890]) ).
tcf(c_38167,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2890]) ).
tcf(c_38168,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2890]) ).
tcf(c_38169,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2890]) ).
tcf(c_38170,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2890]) ).
tcf(c_38171,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2890]) ).
tcf(c_38172,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2890]) ).
tcf(c_38174,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2890]) ).
tcf(c_38175,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2890]) ).
tcf(c_38177,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2890]) ).
tcf(c_38178,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2890]) ).
tcf(c_38180,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2890]) ).
tcf(c_38181,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2890]) ).
tcf(c_38182,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2890]) ).
tcf(c_38183,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2890]) ).
tcf(c_38185,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2890]) ).
tcf(c_38187,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2890]) ).
tcf(c_38189,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2890]) ).
tcf(c_38190,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2890]) ).
tcf(c_38191,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2890]) ).
tcf(c_38192,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2890]) ).
tcf(c_38193,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2890]) ).
tcf(c_38194,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2890]) ).
tcf(c_38195,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2890]) ).
tcf(c_38196,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2890]) ).
tcf(c_38197,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2890]) ).
tcf(c_38198,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2890]) ).
tcf(c_38199,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2890]) ).
tcf(c_38200,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2890]) ).
tcf(c_38201,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2890]) ).
tcf(c_38202,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2890]) ).
tcf(c_38203,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2890]) ).
tcf(c_38204,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2890]) ).
tcf(c_38205,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2890]) ).
tcf(c_38206,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2890]) ).
tcf(c_38207,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2890]) ).
tcf(c_38208,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2890]) ).
tcf(c_38209,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2890]) ).
tcf(c_38210,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2890]) ).
tcf(c_38211,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2890]) ).
tcf(c_38212,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2890]) ).
tcf(c_38213,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2890]) ).
tcf(c_38214,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2890]) ).
tcf(c_38215,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2890]) ).
tcf(c_38216,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2890]) ).
tcf(c_38217,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2890]) ).
tcf(c_38218,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2890]) ).
tcf(c_38219,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2890]) ).
tcf(c_38220,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2890]) ).
tcf(c_38221,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2890]) ).
tcf(c_38222,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2890]) ).
tcf(c_38223,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2890]) ).
tcf(c_38224,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2890]) ).
tcf(c_38225,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2890]) ).
tcf(c_38226,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2890]) ).
tcf(c_38227,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2890]) ).
tcf(c_38228,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2890]) ).
tcf(c_38229,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2890]) ).
tcf(c_38230,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2890]) ).
tcf(c_38231,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2890]) ).
tcf(c_38232,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2890]) ).
tcf(c_38233,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2890]) ).
tcf(c_38234,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2890]) ).
tcf(c_38235,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2890]) ).
tcf(c_38236,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2890]) ).
tcf(c_38237,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2890]) ).
tcf(c_38238,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2890]) ).
tcf(c_38239,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2890]) ).
tcf(c_38240,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2890]) ).
tcf(c_38241,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2890]) ).
tcf(c_38242,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2890]) ).
tcf(c_38243,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2890]) ).
tcf(c_38890,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13408,c_38103]) ).
tcf(c_38891,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_12472,c_38103]) ).
tcf(c_38893,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),xR)) ),
inference(superposition,[status(thm)],[c_38103,c_1245]) ).
tcf(c_38894,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(smndt0(sz0z00),smndt0(xR)),
inference(superposition,[status(thm)],[c_38103,c_37177]) ).
tcf(c_38895,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_38103,c_20605]) ).
tcf(c_38896,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_38103,c_20604]) ).
tcf(c_38897,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_38103,c_22980]) ).
tcf(c_38898,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_38103,c_20606]) ).
tcf(c_38899,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_38103,c_13242]) ).
tcf(c_38936,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13440,c_38104]) ).
tcf(c_38937,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_12475,c_38104]) ).
tcf(c_38939,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),xS)) ),
inference(superposition,[status(thm)],[c_38104,c_1245]) ).
tcf(c_38940,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(smndt0(sz0z00),smndt0(xS)),
inference(superposition,[status(thm)],[c_38104,c_37178]) ).
tcf(c_38941,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38104,c_20685]) ).
tcf(c_38942,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38104,c_20684]) ).
tcf(c_38943,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_38104,c_23055]) ).
tcf(c_38944,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_38104,c_20686]) ).
tcf(c_38945,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_38104,c_13391]) ).
tcf(c_39166,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13636,c_38105]) ).
tcf(c_39167,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_12478,c_38105]) ).
tcf(c_39169,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),xN)) ),
inference(superposition,[status(thm)],[c_38105,c_1245]) ).
tcf(c_39170,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(smndt0(sz0z00),smndt0(xN)),
inference(superposition,[status(thm)],[c_38105,c_37179]) ).
tcf(c_39171,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_38105,c_21057]) ).
tcf(c_39172,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_38105,c_21056]) ).
tcf(c_39173,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_38105,c_23181]) ).
tcf(c_39174,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_38105,c_21058]) ).
tcf(c_39175,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_38105,c_13619]) ).
tcf(c_39342,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_36143,c_34706]) ).
tcf(c_39343,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(global_subsumption_just,[status(thm)],[c_38893,c_129,c_56,c_2932,c_12471,c_12932,c_38893]) ).
tcf(c_39350,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2890]) ).
tcf(c_39351,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2889]) ).
tcf(c_39352,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2612]) ).
tcf(c_39353,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2611]) ).
tcf(c_39354,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2610]) ).
tcf(c_39355,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_39343,c_3468]) ).
tcf(c_39356,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_39343,c_3429]) ).
tcf(c_39357,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2640]) ).
tcf(c_39358,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2580]) ).
tcf(c_39359,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2579]) ).
tcf(c_39360,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2578]) ).
tcf(c_39361,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2533]) ).
tcf(c_39362,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2532]) ).
tcf(c_39363,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2531]) ).
tcf(c_39364,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2512]) ).
tcf(c_39365,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2511]) ).
tcf(c_39366,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2510]) ).
tcf(c_39367,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2485]) ).
tcf(c_39368,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2484]) ).
tcf(c_39369,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2483]) ).
tcf(c_39370,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_39343,c_2440]) ).
tcf(c_39371,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_39343,c_2432]) ).
tcf(c_39372,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_39343,c_1231]) ).
tcf(c_39373,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_39343,c_1233]) ).
tcf(c_39374,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_39343,c_1232]) ).
tcf(c_39375,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_39343,c_1237]) ).
tcf(c_39376,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_39343,c_1235]) ).
tcf(c_39377,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2427]) ).
tcf(c_39378,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_39343,c_1230]) ).
tcf(c_39379,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_39343,c_1229]) ).
tcf(c_39380,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_39343,c_1228]) ).
tcf(c_39381,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_39343,c_1240]) ).
tcf(c_39382,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_39343,c_1239]) ).
tcf(c_39383,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(smndt0(sz0z00)),xR),
inference(superposition,[status(thm)],[c_39343,c_1238]) ).
tcf(c_39512,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(global_subsumption_just,[status(thm)],[c_38939,c_133,c_56,c_2525,c_12474,c_12937,c_38939]) ).
tcf(c_39519,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2890]) ).
tcf(c_39520,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2889]) ).
tcf(c_39521,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2612]) ).
tcf(c_39522,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2611]) ).
tcf(c_39523,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2610]) ).
tcf(c_39524,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_39512,c_3468]) ).
tcf(c_39525,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_39512,c_3429]) ).
tcf(c_39526,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2640]) ).
tcf(c_39527,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2580]) ).
tcf(c_39528,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2579]) ).
tcf(c_39529,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2578]) ).
tcf(c_39530,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2533]) ).
tcf(c_39531,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2532]) ).
tcf(c_39532,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2531]) ).
tcf(c_39533,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2512]) ).
tcf(c_39534,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2511]) ).
tcf(c_39535,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2510]) ).
tcf(c_39536,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2485]) ).
tcf(c_39537,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2484]) ).
tcf(c_39538,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2483]) ).
tcf(c_39539,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_39512,c_2440]) ).
tcf(c_39540,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_39512,c_2432]) ).
tcf(c_39541,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_39512,c_1231]) ).
tcf(c_39542,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_39512,c_1233]) ).
tcf(c_39543,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_39512,c_1232]) ).
tcf(c_39544,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_39512,c_1237]) ).
tcf(c_39545,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_39512,c_1235]) ).
tcf(c_39546,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2427]) ).
tcf(c_39547,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_39512,c_1230]) ).
tcf(c_39548,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_39512,c_1229]) ).
tcf(c_39549,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_39512,c_1228]) ).
tcf(c_39550,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_39512,c_1240]) ).
tcf(c_39551,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_39512,c_1239]) ).
tcf(c_39552,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(smndt0(sz0z00)),xS),
inference(superposition,[status(thm)],[c_39512,c_1238]) ).
tcf(c_39772,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(global_subsumption_just,[status(thm)],[c_39169,c_133,c_129,c_56,c_2443,c_2525,c_12477,c_12942,c_39169]) ).
tcf(c_39779,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2890]) ).
tcf(c_39780,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2889]) ).
tcf(c_39781,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2612]) ).
tcf(c_39782,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2611]) ).
tcf(c_39783,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2610]) ).
tcf(c_39784,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_39772,c_3468]) ).
tcf(c_39785,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_39772,c_3429]) ).
tcf(c_39786,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2640]) ).
tcf(c_39787,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2580]) ).
tcf(c_39788,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2579]) ).
tcf(c_39789,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2578]) ).
tcf(c_39790,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2533]) ).
tcf(c_39791,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2532]) ).
tcf(c_39792,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2531]) ).
tcf(c_39793,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2512]) ).
tcf(c_39794,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2511]) ).
tcf(c_39795,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2510]) ).
tcf(c_39796,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2485]) ).
tcf(c_39797,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2484]) ).
tcf(c_39798,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2483]) ).
tcf(c_39799,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_39772,c_2440]) ).
tcf(c_39800,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_39772,c_2432]) ).
tcf(c_39801,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_39772,c_1231]) ).
tcf(c_39802,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_39772,c_1233]) ).
tcf(c_39803,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_39772,c_1232]) ).
tcf(c_39804,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_39772,c_1237]) ).
tcf(c_39805,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_39772,c_1235]) ).
tcf(c_39806,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2427]) ).
tcf(c_39807,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_39772,c_1230]) ).
tcf(c_39808,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_39772,c_1229]) ).
tcf(c_39809,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_39772,c_1228]) ).
tcf(c_39810,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_39772,c_1240]) ).
tcf(c_39811,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39772,c_1239]) ).
tcf(c_39812,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(smndt0(sz0z00)),xN),
inference(superposition,[status(thm)],[c_39772,c_1238]) ).
tcf(c_40891,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_36144,c_34748]) ).
tcf(c_40892,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8961,c_36148]) ).
tcf(c_40893,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8086,c_36148]) ).
tcf(c_40917,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_8961,c_36777]) ).
tcf(c_40918,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_8086,c_36777]) ).
tcf(c_40953,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8961,c_36896]) ).
tcf(c_40954,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8086,c_36896]) ).
tcf(c_40971,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2891]) ).
tcf(c_40972,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_1177,c_2891]) ).
tcf(c_40973,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_1173,c_2891]) ).
tcf(c_40974,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_1171,c_2891]) ).
tcf(c_40975,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2891]) ).
tcf(c_40976,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2891]) ).
tcf(c_40977,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_1245,c_2891]) ).
tcf(c_40978,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_1246,c_2891]) ).
tcf(c_40979,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_1247,c_2891]) ).
tcf(c_40980,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(sz0z00),smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2891]) ).
tcf(c_40981,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(sz0z00),smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2891]) ).
tcf(c_40982,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(sz0z00),smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2891]) ).
tcf(c_40983,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2891]) ).
tcf(c_40985,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2891]) ).
tcf(c_40986,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2891]) ).
tcf(c_40987,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2891]) ).
tcf(c_40988,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2891]) ).
tcf(c_40989,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2891]) ).
tcf(c_40990,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2891]) ).
tcf(c_40991,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2891]) ).
tcf(c_40992,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2891]) ).
tcf(c_40993,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2891]) ).
tcf(c_40994,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2891]) ).
tcf(c_40995,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2891]) ).
tcf(c_40996,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2891]) ).
tcf(c_40997,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2891]) ).
tcf(c_40998,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2891]) ).
tcf(c_40999,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2891]) ).
tcf(c_41000,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2891]) ).
tcf(c_41001,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2891]) ).
tcf(c_41002,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2891]) ).
tcf(c_41003,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2891]) ).
tcf(c_41004,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2891]) ).
tcf(c_41005,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2891]) ).
tcf(c_41006,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2891]) ).
tcf(c_41007,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2891]) ).
tcf(c_41008,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2891]) ).
tcf(c_41009,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2891]) ).
tcf(c_41010,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2891]) ).
tcf(c_41011,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2891]) ).
tcf(c_41012,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2891]) ).
tcf(c_41013,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2891]) ).
tcf(c_41014,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2891]) ).
tcf(c_41015,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2891]) ).
tcf(c_41016,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2891]) ).
tcf(c_41017,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2891]) ).
tcf(c_41018,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2891]) ).
tcf(c_41019,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2891]) ).
tcf(c_41020,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2891]) ).
tcf(c_41021,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2891]) ).
tcf(c_41022,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2891]) ).
tcf(c_41023,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2891]) ).
tcf(c_41024,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2891]) ).
tcf(c_41025,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2891]) ).
tcf(c_41026,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2891]) ).
tcf(c_41027,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2891]) ).
tcf(c_41028,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2891]) ).
tcf(c_41029,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2891]) ).
tcf(c_41030,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2891]) ).
tcf(c_41031,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2891]) ).
tcf(c_41032,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2891]) ).
tcf(c_41033,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2891]) ).
tcf(c_41034,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2891]) ).
tcf(c_41035,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2891]) ).
tcf(c_41036,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2891]) ).
tcf(c_41037,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2891]) ).
tcf(c_41038,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2891]) ).
tcf(c_41039,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2891]) ).
tcf(c_41040,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2891]) ).
tcf(c_41041,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2891]) ).
tcf(c_41043,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2891]) ).
tcf(c_41044,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2891]) ).
tcf(c_41046,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2891]) ).
tcf(c_41047,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2891]) ).
tcf(c_41049,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2891]) ).
tcf(c_41050,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2891]) ).
tcf(c_41051,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2891]) ).
tcf(c_41052,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2891]) ).
tcf(c_41054,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2891]) ).
tcf(c_41056,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2891]) ).
tcf(c_41058,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2891]) ).
tcf(c_41059,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2891]) ).
tcf(c_41060,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2891]) ).
tcf(c_41061,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2891]) ).
tcf(c_41062,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2891]) ).
tcf(c_41063,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2891]) ).
tcf(c_41064,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2891]) ).
tcf(c_41065,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2891]) ).
tcf(c_41066,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2891]) ).
tcf(c_41067,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2891]) ).
tcf(c_41068,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2891]) ).
tcf(c_41069,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2891]) ).
tcf(c_41070,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2891]) ).
tcf(c_41071,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2891]) ).
tcf(c_41072,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2891]) ).
tcf(c_41073,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2891]) ).
tcf(c_41074,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2891]) ).
tcf(c_41075,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2891]) ).
tcf(c_41076,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2891]) ).
tcf(c_41077,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2891]) ).
tcf(c_41078,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2891]) ).
tcf(c_41079,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2891]) ).
tcf(c_41080,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2891]) ).
tcf(c_41081,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2891]) ).
tcf(c_41082,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2891]) ).
tcf(c_41083,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2891]) ).
tcf(c_41084,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2891]) ).
tcf(c_41085,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2891]) ).
tcf(c_41086,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2891]) ).
tcf(c_41087,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2891]) ).
tcf(c_41088,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2891]) ).
tcf(c_41089,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2891]) ).
tcf(c_41090,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2891]) ).
tcf(c_41091,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2891]) ).
tcf(c_41092,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2891]) ).
tcf(c_41093,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2891]) ).
tcf(c_41094,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2891]) ).
tcf(c_41095,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2891]) ).
tcf(c_41096,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2891]) ).
tcf(c_41097,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2891]) ).
tcf(c_41098,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2891]) ).
tcf(c_41099,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2891]) ).
tcf(c_41100,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2891]) ).
tcf(c_41101,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2891]) ).
tcf(c_41102,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2891]) ).
tcf(c_41103,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2891]) ).
tcf(c_41104,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2891]) ).
tcf(c_41105,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2891]) ).
tcf(c_41106,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2891]) ).
tcf(c_41107,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2891]) ).
tcf(c_41108,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2891]) ).
tcf(c_41109,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2891]) ).
tcf(c_41110,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2891]) ).
tcf(c_41111,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2891]) ).
tcf(c_41112,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2891]) ).
tcf(c_41113,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2891]) ).
tcf(c_41114,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2891]) ).
tcf(c_41115,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2891]) ).
tcf(c_42353,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_37176,c_12514]) ).
tcf(c_42354,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_37176,c_12513]) ).
tcf(c_42356,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_37176,c_12515]) ).
tcf(c_42359,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_21234,c_37912]) ).
tcf(c_42360,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_23017,c_37912]) ).
tcf(c_42362,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_21232,c_37912]) ).
tcf(c_42376,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_42360,c_38103]) ).
tcf(c_42378,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_42360,c_20605]) ).
tcf(c_42388,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_42362,c_13045]) ).
tcf(c_42389,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_42362,c_13044]) ).
tcf(c_42391,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_42362,c_13051]) ).
tcf(c_42424,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2940]) ).
tcf(c_42425,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_1177,c_2940]) ).
tcf(c_42426,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_1173,c_2940]) ).
tcf(c_42427,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_1171,c_2940]) ).
tcf(c_42428,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2940]) ).
tcf(c_42429,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2940]) ).
tcf(c_42430,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_1245,c_2940]) ).
tcf(c_42431,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_1246,c_2940]) ).
tcf(c_42432,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_1247,c_2940]) ).
tcf(c_42433,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2940]) ).
tcf(c_42434,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2940]) ).
tcf(c_42435,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2940]) ).
tcf(c_42436,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2940]) ).
tcf(c_42438,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2940]) ).
tcf(c_42439,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2940]) ).
tcf(c_42440,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2940]) ).
tcf(c_42441,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2940]) ).
tcf(c_42442,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2940]) ).
tcf(c_42443,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2940]) ).
tcf(c_42444,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2940]) ).
tcf(c_42445,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2940]) ).
tcf(c_42446,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2940]) ).
tcf(c_42447,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2940]) ).
tcf(c_42448,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2940]) ).
tcf(c_42449,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2940]) ).
tcf(c_42450,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2940]) ).
tcf(c_42451,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2940]) ).
tcf(c_42452,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2940]) ).
tcf(c_42453,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2940]) ).
tcf(c_42454,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2940]) ).
tcf(c_42455,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2940]) ).
tcf(c_42456,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2940]) ).
tcf(c_42457,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2940]) ).
tcf(c_42458,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2940]) ).
tcf(c_42459,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2940]) ).
tcf(c_42460,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2940]) ).
tcf(c_42461,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2940]) ).
tcf(c_42462,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2940]) ).
tcf(c_42463,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2940]) ).
tcf(c_42464,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2940]) ).
tcf(c_42465,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2940]) ).
tcf(c_42466,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2940]) ).
tcf(c_42467,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2940]) ).
tcf(c_42468,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2940]) ).
tcf(c_42469,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2940]) ).
tcf(c_42470,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2940]) ).
tcf(c_42471,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2940]) ).
tcf(c_42472,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2940]) ).
tcf(c_42473,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2940]) ).
tcf(c_42474,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2940]) ).
tcf(c_42475,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2940]) ).
tcf(c_42476,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2940]) ).
tcf(c_42477,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2940]) ).
tcf(c_42478,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2940]) ).
tcf(c_42479,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2940]) ).
tcf(c_42480,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2940]) ).
tcf(c_42481,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2940]) ).
tcf(c_42482,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2940]) ).
tcf(c_42483,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2940]) ).
tcf(c_42484,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2940]) ).
tcf(c_42485,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2940]) ).
tcf(c_42486,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2940]) ).
tcf(c_42487,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2940]) ).
tcf(c_42488,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2940]) ).
tcf(c_42489,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2940]) ).
tcf(c_42490,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2940]) ).
tcf(c_42491,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2940]) ).
tcf(c_42492,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2940]) ).
tcf(c_42493,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2940]) ).
tcf(c_42494,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2940]) ).
tcf(c_42496,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2940]) ).
tcf(c_42497,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2940]) ).
tcf(c_42499,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2940]) ).
tcf(c_42500,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2940]) ).
tcf(c_42502,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2940]) ).
tcf(c_42503,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2940]) ).
tcf(c_42504,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2940]) ).
tcf(c_42505,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2940]) ).
tcf(c_42507,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2940]) ).
tcf(c_42509,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2940]) ).
tcf(c_42511,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2940]) ).
tcf(c_42512,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2940]) ).
tcf(c_42513,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2940]) ).
tcf(c_42514,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2940]) ).
tcf(c_42515,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2940]) ).
tcf(c_42516,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2940]) ).
tcf(c_42517,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2940]) ).
tcf(c_42518,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2940]) ).
tcf(c_42519,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2940]) ).
tcf(c_42520,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2940]) ).
tcf(c_42521,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2940]) ).
tcf(c_42522,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2940]) ).
tcf(c_42523,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2940]) ).
tcf(c_42524,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2940]) ).
tcf(c_42525,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2940]) ).
tcf(c_42526,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2940]) ).
tcf(c_42527,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2940]) ).
tcf(c_42528,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2940]) ).
tcf(c_42529,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2940]) ).
tcf(c_42530,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2940]) ).
tcf(c_42531,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2940]) ).
tcf(c_42532,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2940]) ).
tcf(c_42533,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2940]) ).
tcf(c_42534,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2940]) ).
tcf(c_42535,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2940]) ).
tcf(c_42536,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2940]) ).
tcf(c_42537,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2940]) ).
tcf(c_42538,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2940]) ).
tcf(c_42539,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2940]) ).
tcf(c_42540,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2940]) ).
tcf(c_42541,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2940]) ).
tcf(c_42542,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2940]) ).
tcf(c_42543,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2940]) ).
tcf(c_42544,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2940]) ).
tcf(c_42545,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2940]) ).
tcf(c_42546,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2940]) ).
tcf(c_42547,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2940]) ).
tcf(c_42548,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2940]) ).
tcf(c_42549,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2940]) ).
tcf(c_42550,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2940]) ).
tcf(c_42551,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2940]) ).
tcf(c_42552,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2940]) ).
tcf(c_42553,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2940]) ).
tcf(c_42554,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2940]) ).
tcf(c_42555,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2940]) ).
tcf(c_42556,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2940]) ).
tcf(c_42557,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2940]) ).
tcf(c_42558,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2940]) ).
tcf(c_42559,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2940]) ).
tcf(c_42560,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2940]) ).
tcf(c_42561,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2940]) ).
tcf(c_42562,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2940]) ).
tcf(c_42563,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2940]) ).
tcf(c_42564,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2940]) ).
tcf(c_42565,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2940]) ).
tcf(c_42566,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2940]) ).
tcf(c_42567,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2940]) ).
tcf(c_42568,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2940]) ).
tcf(c_43220,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_42425,c_7575]) ).
tcf(c_43221,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),sdtasdt0(smndt0(xR),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_42425,c_7574]) ).
tcf(c_43222,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xR))) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_42425,c_7513]) ).
tcf(c_43225,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_21269,c_37923]) ).
tcf(c_43226,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_23131,c_37923]) ).
tcf(c_43228,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_21267,c_37923]) ).
tcf(c_43249,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_43226,c_38104]) ).
tcf(c_43251,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43226,c_20685]) ).
tcf(c_43261,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43228,c_13259]) ).
tcf(c_43262,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43228,c_13258]) ).
tcf(c_43264,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_43228,c_13265]) ).
tcf(c_43319,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_26188,c_37965]) ).
tcf(c_43320,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_26169,c_37965]) ).
tcf(c_43321,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_21289,c_37965]) ).
tcf(c_43322,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23276,c_37965]) ).
tcf(c_43324,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_21287,c_37965]) ).
tcf(c_43338,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_43322,c_38105]) ).
tcf(c_43340,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43322,c_21057]) ).
tcf(c_43350,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_43324,c_13475]) ).
tcf(c_43351,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43324,c_13474]) ).
tcf(c_43353,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_43324,c_13481]) ).
tcf(c_43402,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_10438,c_42426]) ).
tcf(c_43406,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_42426,c_7617]) ).
tcf(c_43407,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_42426,c_7616]) ).
tcf(c_43408,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_42426,c_7521]) ).
tcf(c_43448,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_42427,c_7978]) ).
tcf(c_43449,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),sdtasdt0(smndt0(xR),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_42427,c_7977]) ).
tcf(c_43450,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xN))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_42427,c_7941]) ).
tcf(c_43452,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = smndt0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2941]) ).
tcf(c_43453,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_1177,c_2941]) ).
tcf(c_43454,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_1173,c_2941]) ).
tcf(c_43455,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = smndt0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_1171,c_2941]) ).
tcf(c_43456,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2941]) ).
tcf(c_43457,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2941]) ).
tcf(c_43458,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_1245,c_2941]) ).
tcf(c_43459,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_1246,c_2941]) ).
tcf(c_43460,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_1247,c_2941]) ).
tcf(c_43461,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2941]) ).
tcf(c_43462,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2941]) ).
tcf(c_43463,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2941]) ).
tcf(c_43464,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2941]) ).
tcf(c_43466,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2941]) ).
tcf(c_43467,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2941]) ).
tcf(c_43468,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2941]) ).
tcf(c_43469,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2941]) ).
tcf(c_43470,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2941]) ).
tcf(c_43471,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2941]) ).
tcf(c_43472,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2941]) ).
tcf(c_43473,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2941]) ).
tcf(c_43474,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2941]) ).
tcf(c_43475,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2941]) ).
tcf(c_43476,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2941]) ).
tcf(c_43477,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2941]) ).
tcf(c_43478,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2941]) ).
tcf(c_43479,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2941]) ).
tcf(c_43480,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2941]) ).
tcf(c_43481,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2941]) ).
tcf(c_43482,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2941]) ).
tcf(c_43483,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2941]) ).
tcf(c_43484,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2941]) ).
tcf(c_43485,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2941]) ).
tcf(c_43486,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2941]) ).
tcf(c_43487,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2941]) ).
tcf(c_43488,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2941]) ).
tcf(c_43489,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2941]) ).
tcf(c_43490,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2941]) ).
tcf(c_43491,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2941]) ).
tcf(c_43492,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2941]) ).
tcf(c_43493,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2941]) ).
tcf(c_43494,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2941]) ).
tcf(c_43495,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2941]) ).
tcf(c_43496,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2941]) ).
tcf(c_43497,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2941]) ).
tcf(c_43498,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2941]) ).
tcf(c_43499,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2941]) ).
tcf(c_43500,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2941]) ).
tcf(c_43501,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2941]) ).
tcf(c_43502,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2941]) ).
tcf(c_43503,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2941]) ).
tcf(c_43504,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2941]) ).
tcf(c_43505,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2941]) ).
tcf(c_43506,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2941]) ).
tcf(c_43507,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2941]) ).
tcf(c_43508,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2941]) ).
tcf(c_43509,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2941]) ).
tcf(c_43510,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2941]) ).
tcf(c_43511,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2941]) ).
tcf(c_43512,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2941]) ).
tcf(c_43513,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2941]) ).
tcf(c_43514,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2941]) ).
tcf(c_43515,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2941]) ).
tcf(c_43516,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2941]) ).
tcf(c_43517,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2941]) ).
tcf(c_43518,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2941]) ).
tcf(c_43519,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2941]) ).
tcf(c_43520,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2941]) ).
tcf(c_43521,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2941]) ).
tcf(c_43522,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2941]) ).
tcf(c_43524,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2941]) ).
tcf(c_43525,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2941]) ).
tcf(c_43527,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2941]) ).
tcf(c_43528,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2941]) ).
tcf(c_43530,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2941]) ).
tcf(c_43531,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2941]) ).
tcf(c_43532,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2941]) ).
tcf(c_43533,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2941]) ).
tcf(c_43535,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2941]) ).
tcf(c_43537,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2941]) ).
tcf(c_43539,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2941]) ).
tcf(c_43540,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2941]) ).
tcf(c_43541,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2941]) ).
tcf(c_43542,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2941]) ).
tcf(c_43543,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2941]) ).
tcf(c_43544,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2941]) ).
tcf(c_43545,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2941]) ).
tcf(c_43546,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2941]) ).
tcf(c_43547,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2941]) ).
tcf(c_43548,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2941]) ).
tcf(c_43549,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2941]) ).
tcf(c_43550,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2941]) ).
tcf(c_43551,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2941]) ).
tcf(c_43552,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2941]) ).
tcf(c_43553,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2941]) ).
tcf(c_43554,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2941]) ).
tcf(c_43555,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2941]) ).
tcf(c_43556,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2941]) ).
tcf(c_43557,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2941]) ).
tcf(c_43558,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2941]) ).
tcf(c_43559,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2941]) ).
tcf(c_43560,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2941]) ).
tcf(c_43561,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2941]) ).
tcf(c_43562,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2941]) ).
tcf(c_43563,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2941]) ).
tcf(c_43564,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2941]) ).
tcf(c_43565,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2941]) ).
tcf(c_43566,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2941]) ).
tcf(c_43567,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2941]) ).
tcf(c_43568,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2941]) ).
tcf(c_43569,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2941]) ).
tcf(c_43570,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2941]) ).
tcf(c_43571,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2941]) ).
tcf(c_43572,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2941]) ).
tcf(c_43573,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2941]) ).
tcf(c_43574,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2941]) ).
tcf(c_43575,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2941]) ).
tcf(c_43576,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2941]) ).
tcf(c_43577,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2941]) ).
tcf(c_43578,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2941]) ).
tcf(c_43579,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2941]) ).
tcf(c_43580,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2941]) ).
tcf(c_43581,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2941]) ).
tcf(c_43582,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2941]) ).
tcf(c_43583,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2941]) ).
tcf(c_43584,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2941]) ).
tcf(c_43585,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2941]) ).
tcf(c_43586,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2941]) ).
tcf(c_43587,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2941]) ).
tcf(c_43588,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2941]) ).
tcf(c_43589,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2941]) ).
tcf(c_43590,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2941]) ).
tcf(c_43591,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2941]) ).
tcf(c_43592,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2941]) ).
tcf(c_43593,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2941]) ).
tcf(c_43594,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2941]) ).
tcf(c_43595,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2941]) ).
tcf(c_43596,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2941]) ).
tcf(c_43844,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4064,c_43453]) ).
tcf(c_43845,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),xR))
| ~ aScalar0(sdtasdt0(smndt0(xR),xR)) ),
inference(superposition,[status(thm)],[c_43453,c_1245]) ).
tcf(c_43846,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = sdtasdt0(smndt0(xR),smndt0(xR)),
inference(superposition,[status(thm)],[c_43453,c_42425]) ).
tcf(c_43847,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43453,c_7575]) ).
tcf(c_43848,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),sdtasdt0(smndt0(smndt0(xR)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43453,c_7574]) ).
tcf(c_43849,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_43453,c_7513]) ).
tcf(c_43850,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_43453,c_7516]) ).
tcf(c_43867,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_37991,c_34367]) ).
tcf(c_43876,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_37992,c_34409]) ).
tcf(c_43884,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(smndt0(smndt0(xN)),xS),
inference(superposition,[status(thm)],[c_38014,c_27065]) ).
tcf(c_43886,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38014,c_9907]) ).
tcf(c_43887,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(sdtasdt0(xS,xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38014,c_9906]) ).
tcf(c_43897,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(sdtasdt0(xS,xR),xS),
inference(superposition,[status(thm)],[c_38020,c_38014]) ).
tcf(c_43899,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(smndt0(smndt0(xN)),xS),
inference(superposition,[status(thm)],[c_38020,c_27065]) ).
tcf(c_43901,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38020,c_9907]) ).
tcf(c_43902,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(sdtasdt0(xR,xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38020,c_9906]) ).
tcf(c_43977,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_38096,c_34706]) ).
tcf(c_43987,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_38097,c_34748]) ).
tcf(c_43991,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_12431,c_38102]) ).
tcf(c_43992,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_12429,c_38102]) ).
tcf(c_43994,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),sz0z00)) ),
inference(superposition,[status(thm)],[c_38102,c_1245]) ).
tcf(c_43995,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_38102,c_37176]) ).
tcf(c_43996,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_38102,c_12514]) ).
tcf(c_43997,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_38102,c_12513]) ).
tcf(c_43998,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_38102,c_22656]) ).
tcf(c_43999,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_38102,c_12515]) ).
tcf(c_44000,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_38102,c_12430]) ).
tcf(c_44004,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_10509,c_43454]) ).
tcf(c_44005,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_10438,c_43454]) ).
tcf(c_44006,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_7517,c_43454]) ).
tcf(c_44007,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4067,c_43454]) ).
tcf(c_44008,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),xS))
| ~ aScalar0(sdtasdt0(smndt0(xR),xS)) ),
inference(superposition,[status(thm)],[c_43454,c_1245]) ).
tcf(c_44009,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_43454,c_42426]) ).
tcf(c_44010,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43454,c_7617]) ).
tcf(c_44011,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43454,c_7616]) ).
tcf(c_44012,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_43454,c_7521]) ).
tcf(c_44013,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_43454,c_10444]) ).
tcf(c_44014,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_43454,c_7524]) ).
tcf(c_44268,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4166,c_43455]) ).
tcf(c_44269,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),xN))
| ~ aScalar0(sdtasdt0(smndt0(xR),xN)) ),
inference(superposition,[status(thm)],[c_43455,c_1245]) ).
tcf(c_44270,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(smndt0(xR),smndt0(xN)),
inference(superposition,[status(thm)],[c_43455,c_42427]) ).
tcf(c_44271,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43455,c_7978]) ).
tcf(c_44272,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),sdtasdt0(smndt0(smndt0(xR)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43455,c_7977]) ).
tcf(c_44273,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_43455,c_7941]) ).
tcf(c_44274,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_43455,c_7944]) ).
tcf(c_44275,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(global_subsumption_just,[status(thm)],[c_43845,c_7511,c_43845]) ).
tcf(c_44279,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2941]) ).
tcf(c_44280,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2940]) ).
tcf(c_44281,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2891]) ).
tcf(c_44282,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2890]) ).
tcf(c_44283,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2889]) ).
tcf(c_44284,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2612]) ).
tcf(c_44285,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2611]) ).
tcf(c_44286,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2610]) ).
tcf(c_44287,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_44275,c_3468]) ).
tcf(c_44288,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_44275,c_3429]) ).
tcf(c_44289,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2640]) ).
tcf(c_44290,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2580]) ).
tcf(c_44291,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2579]) ).
tcf(c_44292,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2578]) ).
tcf(c_44293,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2533]) ).
tcf(c_44294,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2532]) ).
tcf(c_44295,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2531]) ).
tcf(c_44296,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2512]) ).
tcf(c_44297,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2511]) ).
tcf(c_44298,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2510]) ).
tcf(c_44299,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2485]) ).
tcf(c_44300,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2484]) ).
tcf(c_44301,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2483]) ).
tcf(c_44302,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_44275,c_2440]) ).
tcf(c_44303,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_44275,c_2432]) ).
tcf(c_44304,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_44275,c_1231]) ).
tcf(c_44305,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_44275,c_1233]) ).
tcf(c_44306,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_44275,c_1232]) ).
tcf(c_44307,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_44275,c_1237]) ).
tcf(c_44308,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_44275,c_1235]) ).
tcf(c_44309,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2427]) ).
tcf(c_44310,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_44275,c_1230]) ).
tcf(c_44311,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_44275,c_1229]) ).
tcf(c_44312,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_44275,c_1228]) ).
tcf(c_44313,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_44275,c_1240]) ).
tcf(c_44314,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),sdtasdt0(smndt0(smndt0(xR)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_44275,c_1239]) ).
tcf(c_44315,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(smndt0(xR)),xR),
inference(superposition,[status(thm)],[c_44275,c_1238]) ).
tcf(c_44597,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_43994,c_56,c_160,c_12432,c_43994]) ).
tcf(c_44601,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2941]) ).
tcf(c_44602,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2940]) ).
tcf(c_44603,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2891]) ).
tcf(c_44604,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2890]) ).
tcf(c_44605,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2889]) ).
tcf(c_44606,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2612]) ).
tcf(c_44607,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2611]) ).
tcf(c_44608,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2610]) ).
tcf(c_44609,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_44597,c_3468]) ).
tcf(c_44610,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_44597,c_3429]) ).
tcf(c_44611,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2640]) ).
tcf(c_44612,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2580]) ).
tcf(c_44613,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2579]) ).
tcf(c_44614,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2578]) ).
tcf(c_44615,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2533]) ).
tcf(c_44616,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2532]) ).
tcf(c_44617,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2531]) ).
tcf(c_44618,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2512]) ).
tcf(c_44619,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2511]) ).
tcf(c_44620,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2510]) ).
tcf(c_44621,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2485]) ).
tcf(c_44622,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2484]) ).
tcf(c_44623,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2483]) ).
tcf(c_44624,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_44597,c_2440]) ).
tcf(c_44625,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_44597,c_2432]) ).
tcf(c_44626,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_44597,c_1231]) ).
tcf(c_44627,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_44597,c_1233]) ).
tcf(c_44628,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_44597,c_1232]) ).
tcf(c_44629,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_44597,c_1237]) ).
tcf(c_44630,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_44597,c_1235]) ).
tcf(c_44631,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2427]) ).
tcf(c_44632,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_44597,c_1230]) ).
tcf(c_44633,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_44597,c_1229]) ).
tcf(c_44634,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_44597,c_1228]) ).
tcf(c_44635,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_44597,c_1240]) ).
tcf(c_44636,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_44597,c_1239]) ).
tcf(c_44637,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),
inference(superposition,[status(thm)],[c_44597,c_1238]) ).
tcf(c_44734,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_38891,c_13735]) ).
tcf(c_44735,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_38891,c_13734]) ).
tcf(c_44740,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_38891,c_11080]) ).
tcf(c_44741,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_38891,c_13736]) ).
tcf(c_44853,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_38937,c_13836]) ).
tcf(c_44854,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38937,c_13835]) ).
tcf(c_44859,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_38937,c_11081]) ).
tcf(c_44860,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_38937,c_13837]) ).
tcf(c_45198,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(global_subsumption_just,[status(thm)],[c_44008,c_7519,c_44008]) ).
tcf(c_45204,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2941]) ).
tcf(c_45205,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2940]) ).
tcf(c_45206,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2891]) ).
tcf(c_45207,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2890]) ).
tcf(c_45208,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2889]) ).
tcf(c_45209,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2612]) ).
tcf(c_45210,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2611]) ).
tcf(c_45211,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2610]) ).
tcf(c_45212,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_45198,c_3468]) ).
tcf(c_45213,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_45198,c_3429]) ).
tcf(c_45214,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2640]) ).
tcf(c_45215,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2580]) ).
tcf(c_45216,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2579]) ).
tcf(c_45217,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2578]) ).
tcf(c_45218,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2533]) ).
tcf(c_45219,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2532]) ).
tcf(c_45220,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2531]) ).
tcf(c_45221,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2512]) ).
tcf(c_45222,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2511]) ).
tcf(c_45223,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2510]) ).
tcf(c_45224,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2485]) ).
tcf(c_45225,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2484]) ).
tcf(c_45226,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2483]) ).
tcf(c_45227,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_45198,c_2440]) ).
tcf(c_45228,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_45198,c_2432]) ).
tcf(c_45229,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_45198,c_1231]) ).
tcf(c_45230,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_45198,c_1233]) ).
tcf(c_45231,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_45198,c_1232]) ).
tcf(c_45232,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_45198,c_1237]) ).
tcf(c_45233,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_45198,c_1235]) ).
tcf(c_45234,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2427]) ).
tcf(c_45235,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_45198,c_1230]) ).
tcf(c_45236,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_45198,c_1229]) ).
tcf(c_45237,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_45198,c_1228]) ).
tcf(c_45238,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_45198,c_1240]) ).
tcf(c_45239,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_45198,c_1239]) ).
tcf(c_45240,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(smndt0(xR)),xS),
inference(superposition,[status(thm)],[c_45198,c_1238]) ).
tcf(c_45249,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(global_subsumption_just,[status(thm)],[c_44269,c_7939,c_44269]) ).
tcf(c_45253,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2941]) ).
tcf(c_45254,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2940]) ).
tcf(c_45255,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2891]) ).
tcf(c_45256,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2890]) ).
tcf(c_45257,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2889]) ).
tcf(c_45258,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2612]) ).
tcf(c_45259,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2611]) ).
tcf(c_45260,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2610]) ).
tcf(c_45261,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_45249,c_3468]) ).
tcf(c_45262,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_45249,c_3429]) ).
tcf(c_45263,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2640]) ).
tcf(c_45264,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2580]) ).
tcf(c_45265,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2579]) ).
tcf(c_45266,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2578]) ).
tcf(c_45267,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2533]) ).
tcf(c_45268,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2532]) ).
tcf(c_45269,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2531]) ).
tcf(c_45270,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2512]) ).
tcf(c_45271,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2511]) ).
tcf(c_45272,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2510]) ).
tcf(c_45273,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2485]) ).
tcf(c_45274,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2484]) ).
tcf(c_45275,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2483]) ).
tcf(c_45276,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_45249,c_2440]) ).
tcf(c_45277,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_45249,c_2432]) ).
tcf(c_45278,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_45249,c_1231]) ).
tcf(c_45279,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_45249,c_1233]) ).
tcf(c_45280,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_45249,c_1232]) ).
tcf(c_45281,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_45249,c_1237]) ).
tcf(c_45282,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_45249,c_1235]) ).
tcf(c_45283,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2427]) ).
tcf(c_45284,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_45249,c_1230]) ).
tcf(c_45285,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_45249,c_1229]) ).
tcf(c_45286,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_45249,c_1228]) ).
tcf(c_45287,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_45249,c_1240]) ).
tcf(c_45288,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),sdtasdt0(smndt0(smndt0(xR)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_45249,c_1239]) ).
tcf(c_45289,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(smndt0(xR)),xN),
inference(superposition,[status(thm)],[c_45249,c_1238]) ).
tcf(c_45769,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_39167,c_26148]) ).
tcf(c_45770,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_39167,c_26141]) ).
tcf(c_45771,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_39167,c_13918]) ).
tcf(c_45772,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39167,c_13917]) ).
tcf(c_45777,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_39167,c_11082]) ).
tcf(c_45778,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_39167,c_13919]) ).
tcf(c_45810,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_39342,c_34790]) ).
tcf(c_45813,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(smndt0(smndt0(xN)),xN),
inference(superposition,[status(thm)],[c_39342,c_27066]) ).
tcf(c_45815,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39342,c_10060]) ).
tcf(c_45816,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(sdtasdt0(xS,xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39342,c_10059]) ).
tcf(c_45828,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(sdtasdt0(xS,xR),xN),
inference(superposition,[status(thm)],[c_40891,c_39342]) ).
tcf(c_45829,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_40891,c_34790]) ).
tcf(c_45832,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(smndt0(smndt0(xN)),xN),
inference(superposition,[status(thm)],[c_40891,c_27066]) ).
tcf(c_45834,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_40891,c_10060]) ).
tcf(c_45835,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(sdtasdt0(xR,xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_40891,c_10059]) ).
tcf(c_45955,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2942]) ).
tcf(c_45956,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xR)) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_1177,c_2942]) ).
tcf(c_45957,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xS)) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_1173,c_2942]) ).
tcf(c_45958,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xN)) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_1171,c_2942]) ).
tcf(c_45959,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xR),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2942]) ).
tcf(c_45960,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2942]) ).
tcf(c_45961,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_1245,c_2942]) ).
tcf(c_45962,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_1246,c_2942]) ).
tcf(c_45963,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_1247,c_2942]) ).
tcf(c_45964,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(xR),smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2942]) ).
tcf(c_45965,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2942]) ).
tcf(c_45966,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(xR),smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2942]) ).
tcf(c_45967,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2942]) ).
tcf(c_45969,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2942]) ).
tcf(c_45970,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2942]) ).
tcf(c_45971,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2942]) ).
tcf(c_45972,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2942]) ).
tcf(c_45973,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2942]) ).
tcf(c_45974,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2942]) ).
tcf(c_45975,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2942]) ).
tcf(c_45976,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2942]) ).
tcf(c_45977,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2942]) ).
tcf(c_45978,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2942]) ).
tcf(c_45979,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2942]) ).
tcf(c_45980,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2942]) ).
tcf(c_45981,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2942]) ).
tcf(c_45982,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2942]) ).
tcf(c_45983,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2942]) ).
tcf(c_45984,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2942]) ).
tcf(c_45985,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2942]) ).
tcf(c_45986,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2942]) ).
tcf(c_45987,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2942]) ).
tcf(c_45988,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2942]) ).
tcf(c_45989,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2942]) ).
tcf(c_45990,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2942]) ).
tcf(c_45991,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2942]) ).
tcf(c_45992,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2942]) ).
tcf(c_45993,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2942]) ).
tcf(c_45994,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2942]) ).
tcf(c_45995,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2942]) ).
tcf(c_45996,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2942]) ).
tcf(c_45997,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2942]) ).
tcf(c_45998,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2942]) ).
tcf(c_45999,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2942]) ).
tcf(c_46000,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2942]) ).
tcf(c_46001,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2942]) ).
tcf(c_46002,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2942]) ).
tcf(c_46003,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2942]) ).
tcf(c_46004,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2942]) ).
tcf(c_46005,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2942]) ).
tcf(c_46006,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2942]) ).
tcf(c_46007,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2942]) ).
tcf(c_46008,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2942]) ).
tcf(c_46009,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2942]) ).
tcf(c_46010,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2942]) ).
tcf(c_46011,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2942]) ).
tcf(c_46012,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2942]) ).
tcf(c_46013,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2942]) ).
tcf(c_46014,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2942]) ).
tcf(c_46015,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2942]) ).
tcf(c_46016,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2942]) ).
tcf(c_46017,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2942]) ).
tcf(c_46018,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2942]) ).
tcf(c_46019,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2942]) ).
tcf(c_46020,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2942]) ).
tcf(c_46021,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2942]) ).
tcf(c_46022,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2942]) ).
tcf(c_46023,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2942]) ).
tcf(c_46024,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2942]) ).
tcf(c_46025,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2942]) ).
tcf(c_46027,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2942]) ).
tcf(c_46028,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2942]) ).
tcf(c_46030,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2942]) ).
tcf(c_46031,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2942]) ).
tcf(c_46033,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2942]) ).
tcf(c_46034,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2942]) ).
tcf(c_46035,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2942]) ).
tcf(c_46036,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2942]) ).
tcf(c_46038,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2942]) ).
tcf(c_46040,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2942]) ).
tcf(c_46042,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2942]) ).
tcf(c_46043,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2942]) ).
tcf(c_46044,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2942]) ).
tcf(c_46045,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2942]) ).
tcf(c_46046,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2942]) ).
tcf(c_46047,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2942]) ).
tcf(c_46048,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2942]) ).
tcf(c_46049,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2942]) ).
tcf(c_46050,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2942]) ).
tcf(c_46051,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2942]) ).
tcf(c_46052,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2942]) ).
tcf(c_46053,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2942]) ).
tcf(c_46054,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2942]) ).
tcf(c_46055,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2942]) ).
tcf(c_46056,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2942]) ).
tcf(c_46057,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2942]) ).
tcf(c_46058,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2942]) ).
tcf(c_46059,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2942]) ).
tcf(c_46060,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2942]) ).
tcf(c_46061,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2942]) ).
tcf(c_46062,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2942]) ).
tcf(c_46063,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2942]) ).
tcf(c_46064,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2942]) ).
tcf(c_46065,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2942]) ).
tcf(c_46066,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2942]) ).
tcf(c_46067,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2942]) ).
tcf(c_46068,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2942]) ).
tcf(c_46069,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2942]) ).
tcf(c_46070,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2942]) ).
tcf(c_46071,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2942]) ).
tcf(c_46072,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2942]) ).
tcf(c_46073,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2942]) ).
tcf(c_46074,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2942]) ).
tcf(c_46075,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2942]) ).
tcf(c_46076,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2942]) ).
tcf(c_46077,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2942]) ).
tcf(c_46078,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2942]) ).
tcf(c_46079,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2942]) ).
tcf(c_46080,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2942]) ).
tcf(c_46081,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2942]) ).
tcf(c_46082,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2942]) ).
tcf(c_46083,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2942]) ).
tcf(c_46084,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2942]) ).
tcf(c_46085,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2942]) ).
tcf(c_46086,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2942]) ).
tcf(c_46087,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2942]) ).
tcf(c_46088,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2942]) ).
tcf(c_46089,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2942]) ).
tcf(c_46090,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2942]) ).
tcf(c_46091,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2942]) ).
tcf(c_46092,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2942]) ).
tcf(c_46093,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2942]) ).
tcf(c_46094,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2942]) ).
tcf(c_46095,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2942]) ).
tcf(c_46096,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2942]) ).
tcf(c_46097,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2942]) ).
tcf(c_46098,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2942]) ).
tcf(c_46099,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2942]) ).
tcf(c_46100,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2942]) ).
tcf(c_46101,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2942]) ).
tcf(c_46102,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2942]) ).
tcf(c_46103,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2942]) ).
tcf(c_46737,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_21206,c_42356]) ).
tcf(c_46738,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22913,c_42356]) ).
tcf(c_46740,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_21203,c_42356]) ).
tcf(c_46755,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_46738,c_38102]) ).
tcf(c_46757,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_46738,c_12514]) ).
tcf(c_46767,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_46740,c_11657]) ).
tcf(c_46768,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_46740,c_11656]) ).
tcf(c_46770,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_46740,c_11663]) ).
tcf(c_46804,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_42359,c_19973]) ).
tcf(c_46832,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_42424,c_7817]) ).
tcf(c_46833,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_42424,c_7816]) ).
tcf(c_46835,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_42424,c_7791]) ).
tcf(c_46838,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_16902,c_43222]) ).
tcf(c_46847,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2960]) ).
tcf(c_46848,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_1177,c_2960]) ).
tcf(c_46849,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_1173,c_2960]) ).
tcf(c_46850,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_1171,c_2960]) ).
tcf(c_46851,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2960]) ).
tcf(c_46852,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2960]) ).
tcf(c_46853,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_1245,c_2960]) ).
tcf(c_46854,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_1246,c_2960]) ).
tcf(c_46855,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_1247,c_2960]) ).
tcf(c_46856,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2960]) ).
tcf(c_46857,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2960]) ).
tcf(c_46858,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2960]) ).
tcf(c_46859,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2960]) ).
tcf(c_46861,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2960]) ).
tcf(c_46862,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2960]) ).
tcf(c_46863,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2960]) ).
tcf(c_46864,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2960]) ).
tcf(c_46865,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2960]) ).
tcf(c_46866,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2960]) ).
tcf(c_46867,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2960]) ).
tcf(c_46868,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2960]) ).
tcf(c_46869,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2960]) ).
tcf(c_46870,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2960]) ).
tcf(c_46871,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2960]) ).
tcf(c_46872,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2960]) ).
tcf(c_46873,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2960]) ).
tcf(c_46874,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2960]) ).
tcf(c_46875,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2960]) ).
tcf(c_46876,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2960]) ).
tcf(c_46877,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2960]) ).
tcf(c_46878,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2960]) ).
tcf(c_46879,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2960]) ).
tcf(c_46880,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2960]) ).
tcf(c_46881,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2960]) ).
tcf(c_46882,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2960]) ).
tcf(c_46883,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2960]) ).
tcf(c_46884,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2960]) ).
tcf(c_46885,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2960]) ).
tcf(c_46886,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2960]) ).
tcf(c_46887,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2960]) ).
tcf(c_46888,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2960]) ).
tcf(c_46889,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2960]) ).
tcf(c_46890,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2960]) ).
tcf(c_46891,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2960]) ).
tcf(c_46892,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2960]) ).
tcf(c_46893,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2960]) ).
tcf(c_46894,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2960]) ).
tcf(c_46895,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2960]) ).
tcf(c_46896,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2960]) ).
tcf(c_46897,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2960]) ).
tcf(c_46898,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2960]) ).
tcf(c_46899,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2960]) ).
tcf(c_46900,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2960]) ).
tcf(c_46901,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2960]) ).
tcf(c_46902,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2960]) ).
tcf(c_46903,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2960]) ).
tcf(c_46904,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2960]) ).
tcf(c_46905,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2960]) ).
tcf(c_46906,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2960]) ).
tcf(c_46907,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2960]) ).
tcf(c_46908,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2960]) ).
tcf(c_46909,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2960]) ).
tcf(c_46910,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2960]) ).
tcf(c_46911,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2960]) ).
tcf(c_46912,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2960]) ).
tcf(c_46913,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2960]) ).
tcf(c_46914,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2960]) ).
tcf(c_46915,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2960]) ).
tcf(c_46916,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2960]) ).
tcf(c_46917,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2960]) ).
tcf(c_46919,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2960]) ).
tcf(c_46920,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2960]) ).
tcf(c_46922,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2960]) ).
tcf(c_46923,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2960]) ).
tcf(c_46925,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2960]) ).
tcf(c_46926,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2960]) ).
tcf(c_46927,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2960]) ).
tcf(c_46928,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2960]) ).
tcf(c_46930,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2960]) ).
tcf(c_46932,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2960]) ).
tcf(c_46934,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2960]) ).
tcf(c_46935,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2960]) ).
tcf(c_46936,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2960]) ).
tcf(c_46937,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2960]) ).
tcf(c_46938,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2960]) ).
tcf(c_46939,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2960]) ).
tcf(c_46940,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2960]) ).
tcf(c_46941,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2960]) ).
tcf(c_46942,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2960]) ).
tcf(c_46943,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2960]) ).
tcf(c_46944,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2960]) ).
tcf(c_46945,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2960]) ).
tcf(c_46946,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2960]) ).
tcf(c_46947,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2960]) ).
tcf(c_46948,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2960]) ).
tcf(c_46949,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2960]) ).
tcf(c_46950,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2960]) ).
tcf(c_46951,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2960]) ).
tcf(c_46952,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2960]) ).
tcf(c_46953,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2960]) ).
tcf(c_46954,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2960]) ).
tcf(c_46955,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2960]) ).
tcf(c_46956,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2960]) ).
tcf(c_46957,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2960]) ).
tcf(c_46958,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2960]) ).
tcf(c_46959,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2960]) ).
tcf(c_46960,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2960]) ).
tcf(c_46961,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2960]) ).
tcf(c_46962,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2960]) ).
tcf(c_46963,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2960]) ).
tcf(c_46964,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2960]) ).
tcf(c_46965,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2960]) ).
tcf(c_46966,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2960]) ).
tcf(c_46967,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2960]) ).
tcf(c_46968,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2960]) ).
tcf(c_46969,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2960]) ).
tcf(c_46970,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2960]) ).
tcf(c_46971,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2960]) ).
tcf(c_46972,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2960]) ).
tcf(c_46973,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2960]) ).
tcf(c_46974,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2960]) ).
tcf(c_46975,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2960]) ).
tcf(c_46976,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2960]) ).
tcf(c_46977,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2960]) ).
tcf(c_46978,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2960]) ).
tcf(c_46979,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2960]) ).
tcf(c_46980,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2960]) ).
tcf(c_46981,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2960]) ).
tcf(c_46982,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2960]) ).
tcf(c_46983,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2960]) ).
tcf(c_46984,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2960]) ).
tcf(c_46985,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2960]) ).
tcf(c_46986,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2960]) ).
tcf(c_46987,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2960]) ).
tcf(c_46988,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2960]) ).
tcf(c_46989,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2960]) ).
tcf(c_46990,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2960]) ).
tcf(c_46991,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2960]) ).
tcf(c_46992,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2960]) ).
tcf(c_46993,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2960]) ).
tcf(c_46994,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2960]) ).
tcf(c_46995,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2960]) ).
tcf(c_47150,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_46848,c_8505]) ).
tcf(c_47151,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_46848,c_8504]) ).
tcf(c_47152,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_46848,c_8454]) ).
tcf(c_47325,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_43225,c_20062]) ).
tcf(c_47472,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_43319,c_20870]) ).
tcf(c_47481,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_43320,c_20833]) ).
tcf(c_47494,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_43321,c_20401]) ).
tcf(c_47525,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43402,c_8505]) ).
tcf(c_47526,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43402,c_8504]) ).
tcf(c_47527,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_43402,c_8454]) ).
tcf(c_47532,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_21963,c_43408]) ).
tcf(c_47533,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_21961,c_43408]) ).
tcf(c_47534,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_16922,c_43408]) ).
tcf(c_47536,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_15111,c_43408]) ).
tcf(c_47545,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_46849,c_9051]) ).
tcf(c_47546,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),sdtasdt0(smndt0(xS),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_46849,c_9050]) ).
tcf(c_47548,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xS))) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_46849,c_9052]) ).
tcf(c_47552,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_46850,c_8635]) ).
tcf(c_47553,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),sdtasdt0(smndt0(xS),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_46850,c_8634]) ).
tcf(c_47554,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xN))) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_46850,c_8482]) ).
tcf(c_47583,plain,
sdtasdt0(smndt0(smndt0(xS)),sz0z00) = smndt0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_2576,c_2961]) ).
tcf(c_47584,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_1177,c_2961]) ).
tcf(c_47585,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = smndt0(sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_1173,c_2961]) ).
tcf(c_47586,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = smndt0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_1171,c_2961]) ).
tcf(c_47587,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2881,c_2961]) ).
tcf(c_47588,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11491,c_2961]) ).
tcf(c_47589,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_1245,c_2961]) ).
tcf(c_47590,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_1246,c_2961]) ).
tcf(c_47591,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_1247,c_2961]) ).
tcf(c_47592,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_2933,c_2961]) ).
tcf(c_47593,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_2953,c_2961]) ).
tcf(c_47594,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_2608,c_2961]) ).
tcf(c_47595,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16156,c_2961]) ).
tcf(c_47597,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3102,c_2961]) ).
tcf(c_47598,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3911,c_2961]) ).
tcf(c_47599,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3159,c_2961]) ).
tcf(c_47600,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3243,c_2961]) ).
tcf(c_47601,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3325,c_2961]) ).
tcf(c_47602,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_2961]) ).
tcf(c_47603,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_2961]) ).
tcf(c_47604,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_2961]) ).
tcf(c_47605,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_2961]) ).
tcf(c_47606,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_2961]) ).
tcf(c_47607,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_2961]) ).
tcf(c_47608,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4000,c_2961]) ).
tcf(c_47609,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4072,c_2961]) ).
tcf(c_47610,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4170,c_2961]) ).
tcf(c_47611,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_2961]) ).
tcf(c_47612,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_2961]) ).
tcf(c_47613,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_2961]) ).
tcf(c_47614,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_2961]) ).
tcf(c_47615,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_2961]) ).
tcf(c_47616,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_2961]) ).
tcf(c_47617,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_2961]) ).
tcf(c_47618,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_2961]) ).
tcf(c_47619,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5164,c_2961]) ).
tcf(c_47620,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5407,c_2961]) ).
tcf(c_47621,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5304,c_2961]) ).
tcf(c_47622,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_2961]) ).
tcf(c_47623,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_2961]) ).
tcf(c_47624,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_2961]) ).
tcf(c_47625,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_2961]) ).
tcf(c_47626,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_2961]) ).
tcf(c_47627,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_2961]) ).
tcf(c_47628,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_2961]) ).
tcf(c_47629,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6363,c_2961]) ).
tcf(c_47630,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6471,c_2961]) ).
tcf(c_47631,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6560,c_2961]) ).
tcf(c_47632,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6279,c_2961]) ).
tcf(c_47633,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_2961]) ).
tcf(c_47634,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_2961]) ).
tcf(c_47635,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_2961]) ).
tcf(c_47636,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_2961]) ).
tcf(c_47637,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_2961]) ).
tcf(c_47638,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_2961]) ).
tcf(c_47639,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_2961]) ).
tcf(c_47640,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_2961]) ).
tcf(c_47641,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_2961]) ).
tcf(c_47642,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_2961]) ).
tcf(c_47643,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_2961]) ).
tcf(c_47644,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_2961]) ).
tcf(c_47645,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_2961]) ).
tcf(c_47646,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_2961]) ).
tcf(c_47647,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_2961]) ).
tcf(c_47648,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_2961]) ).
tcf(c_47649,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_2961]) ).
tcf(c_47650,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_2961]) ).
tcf(c_47651,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_2961]) ).
tcf(c_47652,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_2961]) ).
tcf(c_47653,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_2961]) ).
tcf(c_47655,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_13031,c_2961]) ).
tcf(c_47656,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_2961]) ).
tcf(c_47658,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13245,c_2961]) ).
tcf(c_47659,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_2961]) ).
tcf(c_47661,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13461,c_2961]) ).
tcf(c_47662,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_2961]) ).
tcf(c_47663,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_2961]) ).
tcf(c_47664,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_2961]) ).
tcf(c_47666,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_2961]) ).
tcf(c_47668,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_2961]) ).
tcf(c_47670,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_2961]) ).
tcf(c_47671,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_2961]) ).
tcf(c_47672,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_2961]) ).
tcf(c_47673,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_2961]) ).
tcf(c_47674,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_2961]) ).
tcf(c_47675,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_2961]) ).
tcf(c_47676,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_2961]) ).
tcf(c_47677,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_2961]) ).
tcf(c_47678,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_2961]) ).
tcf(c_47679,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_2961]) ).
tcf(c_47680,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_2961]) ).
tcf(c_47681,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_2961]) ).
tcf(c_47682,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_2961]) ).
tcf(c_47683,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_2961]) ).
tcf(c_47684,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_2961]) ).
tcf(c_47685,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_2961]) ).
tcf(c_47686,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_2961]) ).
tcf(c_47687,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_2961]) ).
tcf(c_47688,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_2961]) ).
tcf(c_47689,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_2961]) ).
tcf(c_47690,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_2961]) ).
tcf(c_47691,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_2961]) ).
tcf(c_47692,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_2961]) ).
tcf(c_47693,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_2961]) ).
tcf(c_47694,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_2961]) ).
tcf(c_47695,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_2961]) ).
tcf(c_47696,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_2961]) ).
tcf(c_47697,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_2961]) ).
tcf(c_47698,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_2961]) ).
tcf(c_47699,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_2961]) ).
tcf(c_47700,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_2961]) ).
tcf(c_47701,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_2961]) ).
tcf(c_47702,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_2961]) ).
tcf(c_47703,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_2961]) ).
tcf(c_47704,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_2961]) ).
tcf(c_47705,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_2961]) ).
tcf(c_47706,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_2961]) ).
tcf(c_47707,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_2961]) ).
tcf(c_47708,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_2961]) ).
tcf(c_47709,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_2961]) ).
tcf(c_47710,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_2961]) ).
tcf(c_47711,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_2961]) ).
tcf(c_47712,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_2961]) ).
tcf(c_47713,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_2961]) ).
tcf(c_47714,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_2961]) ).
tcf(c_47715,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_2961]) ).
tcf(c_47716,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_2961]) ).
tcf(c_47717,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_2961]) ).
tcf(c_47718,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_2961]) ).
tcf(c_47719,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_2961]) ).
tcf(c_47720,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_2961]) ).
tcf(c_47721,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_2961]) ).
tcf(c_47722,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_2961]) ).
tcf(c_47723,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_2961]) ).
tcf(c_47724,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_2961]) ).
tcf(c_47725,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_2961]) ).
tcf(c_47726,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_2961]) ).
tcf(c_47727,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_2961]) ).
tcf(c_47728,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_2961]) ).
tcf(c_47729,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_2961]) ).
tcf(c_47730,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_2961]) ).
tcf(c_47731,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_2961]) ).
tcf(c_50094,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_10902,c_47584]) ).
tcf(c_50095,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5460,c_47584]) ).
tcf(c_50096,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1166,c_47584]) ).
tcf(c_50097,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xS)),xR))
| ~ aScalar0(sdtasdt0(smndt0(xS),xR)) ),
inference(superposition,[status(thm)],[c_47584,c_1245]) ).
tcf(c_50098,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_47584,c_43402]) ).
tcf(c_50099,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_47584,c_46848]) ).
tcf(c_50100,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_47584,c_8505]) ).
tcf(c_50101,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(smndt0(xS)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_47584,c_8504]) ).
tcf(c_50102,plain,
smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_47584,c_8454]) ).
tcf(c_50103,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_47584,c_10979]) ).
tcf(c_50104,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_47584,c_8457]) ).
tcf(c_50170,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_47536,c_3115]) ).
tcf(c_50171,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47536,c_3114]) ).
tcf(c_50173,plain,
smndt0(sdtasdt0(smndt0(xR),xS)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_47536,c_2643]) ).
tcf(c_50202,plain,
smndt0(sdtasdt0(smndt0(xS),xR)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_10438,c_50173]) ).
tcf(c_50223,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_50202,c_8505]) ).
tcf(c_50224,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_50202,c_8504]) ).
tcf(c_50225,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_50202,c_8454]) ).
tcf(c_50293,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_25642,c_43450]) ).
tcf(c_50294,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_25630,c_43450]) ).
tcf(c_50295,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_17604,c_43450]) ).
tcf(c_50309,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5477,c_47585]) ).
tcf(c_50310,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xS)),xS))
| ~ aScalar0(sdtasdt0(smndt0(xS),xS)) ),
inference(superposition,[status(thm)],[c_47585,c_1245]) ).
tcf(c_50311,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(superposition,[status(thm)],[c_47585,c_46849]) ).
tcf(c_50312,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47585,c_9051]) ).
tcf(c_50313,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),sdtasdt0(smndt0(smndt0(xS)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47585,c_9050]) ).
tcf(c_50314,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_47585,c_16408]) ).
tcf(c_50315,plain,
smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_47585,c_9052]) ).
tcf(c_50408,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5480,c_47586]) ).
tcf(c_50409,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xS)),xN))
| ~ aScalar0(sdtasdt0(smndt0(xS),xN)) ),
inference(superposition,[status(thm)],[c_47586,c_1245]) ).
tcf(c_50410,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = sdtasdt0(smndt0(xS),smndt0(xN)),
inference(superposition,[status(thm)],[c_47586,c_46850]) ).
tcf(c_50411,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47586,c_8635]) ).
tcf(c_50412,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),sdtasdt0(smndt0(smndt0(xS)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47586,c_8634]) ).
tcf(c_50413,plain,
smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_47586,c_8482]) ).
tcf(c_50414,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_47586,c_8485]) ).
tcf(c_50439,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(global_subsumption_just,[status(thm)],[c_50097,c_133,c_129,c_2525,c_5617,c_50097]) ).
tcf(c_50445,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2961]) ).
tcf(c_50446,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2960]) ).
tcf(c_50447,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2942]) ).
tcf(c_50448,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2941]) ).
tcf(c_50449,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2940]) ).
tcf(c_50450,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2891]) ).
tcf(c_50451,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2890]) ).
tcf(c_50452,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2889]) ).
tcf(c_50453,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2612]) ).
tcf(c_50454,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2611]) ).
tcf(c_50455,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2610]) ).
tcf(c_50456,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_50439,c_3468]) ).
tcf(c_50457,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_50439,c_3429]) ).
tcf(c_50458,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2640]) ).
tcf(c_50459,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2580]) ).
tcf(c_50460,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2579]) ).
tcf(c_50461,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2578]) ).
tcf(c_50462,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2533]) ).
tcf(c_50463,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2532]) ).
tcf(c_50464,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2531]) ).
tcf(c_50465,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2512]) ).
tcf(c_50466,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2511]) ).
tcf(c_50467,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_2510]) ).
tcf(c_50468,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2485]) ).
tcf(c_50469,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2484]) ).
tcf(c_50470,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2483]) ).
tcf(c_50471,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_50439,c_2440]) ).
tcf(c_50472,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_50439,c_2432]) ).
tcf(c_50473,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_50439,c_1231]) ).
tcf(c_50474,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_50439,c_1233]) ).
tcf(c_50475,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_50439,c_1232]) ).
tcf(c_50476,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_50439,c_1237]) ).
tcf(c_50477,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_50439,c_1235]) ).
tcf(c_50478,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2427]) ).
tcf(c_50479,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_50439,c_1230]) ).
tcf(c_50480,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_50439,c_1229]) ).
tcf(c_50481,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_50439,c_1228]) ).
tcf(c_50482,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_50439,c_1240]) ).
tcf(c_50483,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),sdtasdt0(smndt0(smndt0(xS)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_50439,c_1239]) ).
tcf(c_50484,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(smndt0(xS)),xR),
inference(superposition,[status(thm)],[c_50439,c_1238]) ).
tcf(c_50650,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(global_subsumption_just,[status(thm)],[c_50310,c_133,c_2445,c_2525,c_8478,c_50310]) ).
tcf(c_50653,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2961]) ).
tcf(c_50654,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2960]) ).
tcf(c_50655,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2942]) ).
tcf(c_50656,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2941]) ).
tcf(c_50657,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2940]) ).
tcf(c_50658,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2891]) ).
tcf(c_50659,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2890]) ).
tcf(c_50660,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2889]) ).
tcf(c_50661,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2612]) ).
tcf(c_50662,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2611]) ).
tcf(c_50663,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2610]) ).
tcf(c_50664,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_50650,c_3468]) ).
tcf(c_50665,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_50650,c_3429]) ).
tcf(c_50666,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2640]) ).
tcf(c_50667,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2580]) ).
tcf(c_50668,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2579]) ).
tcf(c_50669,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2578]) ).
tcf(c_50670,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2533]) ).
tcf(c_50671,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2532]) ).
tcf(c_50672,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2531]) ).
tcf(c_50673,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2512]) ).
tcf(c_50674,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2511]) ).
tcf(c_50675,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_2510]) ).
tcf(c_50676,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2485]) ).
tcf(c_50677,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2484]) ).
tcf(c_50678,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2483]) ).
tcf(c_50679,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_50650,c_2440]) ).
tcf(c_50680,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_50650,c_2432]) ).
tcf(c_50681,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_50650,c_1231]) ).
tcf(c_50682,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_50650,c_1233]) ).
tcf(c_50683,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_50650,c_1232]) ).
tcf(c_50684,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_50650,c_1237]) ).
tcf(c_50685,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_50650,c_1235]) ).
tcf(c_50686,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2427]) ).
tcf(c_50687,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_50650,c_1230]) ).
tcf(c_50688,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_50650,c_1229]) ).
tcf(c_50689,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_50650,c_1228]) ).
tcf(c_50690,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_50650,c_1240]) ).
tcf(c_50691,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),sdtasdt0(smndt0(smndt0(xS)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_50650,c_1239]) ).
tcf(c_50692,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(smndt0(xS)),xS),
inference(superposition,[status(thm)],[c_50650,c_1238]) ).
tcf(c_50861,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4038,c_43452]) ).
tcf(c_50862,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3895,c_43452]) ).
tcf(c_50863,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))
| ~ aScalar0(sdtasdt0(smndt0(xR),sz0z00)) ),
inference(superposition,[status(thm)],[c_43452,c_1245]) ).
tcf(c_50864,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(smndt0(xR),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_43452,c_42424]) ).
tcf(c_50865,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_43452,c_7817]) ).
tcf(c_50866,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_43452,c_7816]) ).
tcf(c_50867,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_43452,c_21810]) ).
tcf(c_50868,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_43452,c_7791]) ).
tcf(c_50869,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_43452,c_7794]) ).
tcf(c_51051,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_43844,c_9499]) ).
tcf(c_51053,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_43844,c_4355]) ).
tcf(c_51054,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43844,c_4354]) ).
tcf(c_51056,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_43844,c_4356]) ).
tcf(c_51082,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43867,c_6946]) ).
tcf(c_51083,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43867,c_6945]) ).
tcf(c_51096,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43876,c_6946]) ).
tcf(c_51097,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43876,c_6945]) ).
tcf(c_51127,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(global_subsumption_just,[status(thm)],[c_50409,c_8480,c_50409]) ).
tcf(c_51131,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2961]) ).
tcf(c_51132,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2960]) ).
tcf(c_51133,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2942]) ).
tcf(c_51134,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2941]) ).
tcf(c_51135,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2940]) ).
tcf(c_51136,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2891]) ).
tcf(c_51137,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2890]) ).
tcf(c_51138,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2889]) ).
tcf(c_51139,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2612]) ).
tcf(c_51140,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2611]) ).
tcf(c_51141,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2610]) ).
tcf(c_51142,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_51127,c_3468]) ).
tcf(c_51143,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_51127,c_3429]) ).
tcf(c_51144,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2640]) ).
tcf(c_51145,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2580]) ).
tcf(c_51146,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2579]) ).
tcf(c_51147,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2578]) ).
tcf(c_51148,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2533]) ).
tcf(c_51149,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2532]) ).
tcf(c_51150,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2531]) ).
tcf(c_51151,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2512]) ).
tcf(c_51152,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2511]) ).
tcf(c_51153,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_2510]) ).
tcf(c_51154,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2485]) ).
tcf(c_51155,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2484]) ).
tcf(c_51156,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2483]) ).
tcf(c_51157,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_51127,c_2440]) ).
tcf(c_51158,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_51127,c_2432]) ).
tcf(c_51159,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_51127,c_1231]) ).
tcf(c_51160,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_51127,c_1233]) ).
tcf(c_51161,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_51127,c_1232]) ).
tcf(c_51162,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_51127,c_1237]) ).
tcf(c_51163,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_51127,c_1235]) ).
tcf(c_51164,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2427]) ).
tcf(c_51165,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_51127,c_1230]) ).
tcf(c_51166,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_51127,c_1229]) ).
tcf(c_51167,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_51127,c_1228]) ).
tcf(c_51168,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_51127,c_1240]) ).
tcf(c_51169,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),sdtasdt0(smndt0(smndt0(xS)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_51127,c_1239]) ).
tcf(c_51170,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(smndt0(xS)),xN),
inference(superposition,[status(thm)],[c_51127,c_1238]) ).
tcf(c_51666,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_50863,c_7789,c_50863]) ).
tcf(c_51672,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2961]) ).
tcf(c_51673,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2960]) ).
tcf(c_51674,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2942]) ).
tcf(c_51675,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2941]) ).
tcf(c_51676,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2940]) ).
tcf(c_51677,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2891]) ).
tcf(c_51678,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2890]) ).
tcf(c_51679,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2889]) ).
tcf(c_51680,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2612]) ).
tcf(c_51681,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2611]) ).
tcf(c_51682,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2610]) ).
tcf(c_51683,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_51666,c_3468]) ).
tcf(c_51684,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_51666,c_3429]) ).
tcf(c_51685,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2640]) ).
tcf(c_51686,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2580]) ).
tcf(c_51687,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2579]) ).
tcf(c_51688,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2578]) ).
tcf(c_51689,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2533]) ).
tcf(c_51690,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2532]) ).
tcf(c_51691,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2531]) ).
tcf(c_51692,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2512]) ).
tcf(c_51693,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2511]) ).
tcf(c_51694,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_2510]) ).
tcf(c_51695,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2485]) ).
tcf(c_51696,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2484]) ).
tcf(c_51697,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2483]) ).
tcf(c_51698,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_51666,c_2440]) ).
tcf(c_51699,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_51666,c_2432]) ).
tcf(c_51700,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_51666,c_1231]) ).
tcf(c_51701,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_51666,c_1233]) ).
tcf(c_51702,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_51666,c_1232]) ).
tcf(c_51703,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_51666,c_1237]) ).
tcf(c_51704,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_51666,c_1235]) ).
tcf(c_51705,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2427]) ).
tcf(c_51706,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_51666,c_1230]) ).
tcf(c_51707,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_51666,c_1229]) ).
tcf(c_51708,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_51666,c_1228]) ).
tcf(c_51709,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_51666,c_1240]) ).
tcf(c_51710,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_51666,c_1239]) ).
tcf(c_51711,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(smndt0(xR)),sz0z00),
inference(superposition,[status(thm)],[c_51666,c_1238]) ).
tcf(c_51871,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_43977,c_6980]) ).
tcf(c_51872,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43977,c_6979]) ).
tcf(c_51889,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_43987,c_6980]) ).
tcf(c_51890,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43987,c_6979]) ).
tcf(c_51918,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_43991,c_11514]) ).
tcf(c_51919,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_43991,c_11513]) ).
tcf(c_51924,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_43991,c_11076]) ).
tcf(c_51925,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_43991,c_11515]) ).
tcf(c_51957,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_44004,c_16919]) ).
tcf(c_51960,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_44004,c_5665]) ).
tcf(c_51961,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_44004,c_9682]) ).
tcf(c_51962,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_44004,c_5664]) ).
tcf(c_51963,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_44004,c_8142]) ).
tcf(c_51966,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_44004,c_5666]) ).
tcf(c_51992,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(smndt0(smndt0(xS)),xR),
inference(superposition,[status(thm)],[c_44005,c_47584]) ).
tcf(c_51995,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_44005,c_8505]) ).
tcf(c_51996,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_44005,c_8504]) ).
tcf(c_51997,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_44005,c_8454]) ).
tcf(c_52033,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_44007,c_4457]) ).
tcf(c_52034,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_44007,c_4456]) ).
tcf(c_52037,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_44007,c_4458]) ).
tcf(c_52063,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sz0z00)) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_2576,c_2962]) ).
tcf(c_52064,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xR)) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_1177,c_2962]) ).
tcf(c_52065,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xS)) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_1173,c_2962]) ).
tcf(c_52066,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xN)) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_1171,c_2962]) ).
tcf(c_52067,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xS),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2881,c_2962]) ).
tcf(c_52068,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11491,c_2962]) ).
tcf(c_52069,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_1245,c_2962]) ).
tcf(c_52070,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_1246,c_2962]) ).
tcf(c_52071,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_1247,c_2962]) ).
tcf(c_52072,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_2933,c_2962]) ).
tcf(c_52073,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(superposition,[status(thm)],[c_2953,c_2962]) ).
tcf(c_52074,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(xS),smndt0(xN)),
inference(superposition,[status(thm)],[c_2608,c_2962]) ).
tcf(c_52075,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16156,c_2962]) ).
tcf(c_52077,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3102,c_2962]) ).
tcf(c_52078,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3911,c_2962]) ).
tcf(c_52079,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3159,c_2962]) ).
tcf(c_52080,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3243,c_2962]) ).
tcf(c_52081,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3325,c_2962]) ).
tcf(c_52082,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3664,c_2962]) ).
tcf(c_52083,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3731,c_2962]) ).
tcf(c_52084,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3795,c_2962]) ).
tcf(c_52085,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3842,c_2962]) ).
tcf(c_52086,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8452,c_2962]) ).
tcf(c_52087,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16154,c_2962]) ).
tcf(c_52088,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_4000,c_2962]) ).
tcf(c_52089,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4072,c_2962]) ).
tcf(c_52090,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4170,c_2962]) ).
tcf(c_52091,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4682,c_2962]) ).
tcf(c_52092,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4795,c_2962]) ).
tcf(c_52093,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4265,c_2962]) ).
tcf(c_52094,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4340,c_2962]) ).
tcf(c_52095,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4441,c_2962]) ).
tcf(c_52096,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4862,c_2962]) ).
tcf(c_52097,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4538,c_2962]) ).
tcf(c_52098,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4954,c_2962]) ).
tcf(c_52099,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5164,c_2962]) ).
tcf(c_52100,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5407,c_2962]) ).
tcf(c_52101,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5304,c_2962]) ).
tcf(c_52102,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5923,c_2962]) ).
tcf(c_52103,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5979,c_2962]) ).
tcf(c_52104,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5553,c_2962]) ).
tcf(c_52105,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_6043,c_2962]) ).
tcf(c_52106,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5648,c_2962]) ).
tcf(c_52107,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5728,c_2962]) ).
tcf(c_52108,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5824,c_2962]) ).
tcf(c_52109,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6363,c_2962]) ).
tcf(c_52110,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6471,c_2962]) ).
tcf(c_52111,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6560,c_2962]) ).
tcf(c_52112,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6279,c_2962]) ).
tcf(c_52113,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_7029,c_2962]) ).
tcf(c_52114,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7247,c_2962]) ).
tcf(c_52115,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6642,c_2962]) ).
tcf(c_52116,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6749,c_2962]) ).
tcf(c_52117,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7282,c_2962]) ).
tcf(c_52118,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6929,c_2962]) ).
tcf(c_52119,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6963,c_2962]) ).
tcf(c_52120,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7685,c_2962]) ).
tcf(c_52121,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7511,c_2962]) ).
tcf(c_52122,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7519,c_2962]) ).
tcf(c_52123,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7789,c_2962]) ).
tcf(c_52124,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7939,c_2962]) ).
tcf(c_52125,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_9031,c_2962]) ).
tcf(c_52126,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8480,c_2962]) ).
tcf(c_52127,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8842,c_2962]) ).
tcf(c_52128,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9332,c_2962]) ).
tcf(c_52129,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9478,c_2962]) ).
tcf(c_52130,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9485,c_2962]) ).
tcf(c_52131,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10216,c_2962]) ).
tcf(c_52132,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11489,c_2962]) ).
tcf(c_52133,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13709,c_2962]) ).
tcf(c_52135,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13031,c_2962]) ).
tcf(c_52136,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13810,c_2962]) ).
tcf(c_52138,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13245,c_2962]) ).
tcf(c_52139,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13892,c_2962]) ).
tcf(c_52141,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13461,c_2962]) ).
tcf(c_52142,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19822,c_2962]) ).
tcf(c_52143,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12486,c_2962]) ).
tcf(c_52144,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20429,c_2962]) ).
tcf(c_52146,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20499,c_2962]) ).
tcf(c_52148,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20916,c_2962]) ).
tcf(c_52150,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19944,c_2962]) ).
tcf(c_52151,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_20033,c_2962]) ).
tcf(c_52152,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20914,c_2962]) ).
tcf(c_52153,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14902,c_2962]) ).
tcf(c_52154,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_15012,c_2962]) ).
tcf(c_52155,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15186,c_2962]) ).
tcf(c_52156,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15291,c_2962]) ).
tcf(c_52157,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15465,c_2962]) ).
tcf(c_52158,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15827,c_2962]) ).
tcf(c_52159,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16461,c_2962]) ).
tcf(c_52160,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22221,c_2962]) ).
tcf(c_52161,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16575,c_2962]) ).
tcf(c_52162,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16675,c_2962]) ).
tcf(c_52163,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_17000,c_2962]) ).
tcf(c_52164,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17263,c_2962]) ).
tcf(c_52165,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17377,c_2962]) ).
tcf(c_52166,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17474,c_2962]) ).
tcf(c_52167,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17784,c_2962]) ).
tcf(c_52168,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17886,c_2962]) ).
tcf(c_52169,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17983,c_2962]) ).
tcf(c_52170,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18156,c_2962]) ).
tcf(c_52171,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17889,c_2962]) ).
tcf(c_52172,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17890,c_2962]) ).
tcf(c_52173,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18584,c_2962]) ).
tcf(c_52174,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18681,c_2962]) ).
tcf(c_52175,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18781,c_2962]) ).
tcf(c_52176,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18684,c_2962]) ).
tcf(c_52177,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18685,c_2962]) ).
tcf(c_52178,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19159,c_2962]) ).
tcf(c_52179,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19274,c_2962]) ).
tcf(c_52180,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19345,c_2962]) ).
tcf(c_52181,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19464,c_2962]) ).
tcf(c_52182,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19348,c_2962]) ).
tcf(c_52183,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19349,c_2962]) ).
tcf(c_52184,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19942,c_2962]) ).
tcf(c_52185,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_20031,c_2962]) ).
tcf(c_52186,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20370,c_2962]) ).
tcf(c_52187,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20372,c_2962]) ).
tcf(c_52188,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20373,c_2962]) ).
tcf(c_52189,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21326,c_2962]) ).
tcf(c_52190,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21440,c_2962]) ).
tcf(c_52191,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21584,c_2962]) ).
tcf(c_52192,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21624,c_2962]) ).
tcf(c_52193,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29087,c_2962]) ).
tcf(c_52194,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30542,c_2962]) ).
tcf(c_52195,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31722,c_2962]) ).
tcf(c_52196,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29090,c_2962]) ).
tcf(c_52197,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29091,c_2962]) ).
tcf(c_52198,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30545,c_2962]) ).
tcf(c_52199,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30546,c_2962]) ).
tcf(c_52200,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31725,c_2962]) ).
tcf(c_52201,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31726,c_2962]) ).
tcf(c_52202,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34911,c_2962]) ).
tcf(c_52203,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34917,c_2962]) ).
tcf(c_52204,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34918,c_2962]) ).
tcf(c_52205,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39343,c_2962]) ).
tcf(c_52206,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39512,c_2962]) ).
tcf(c_52207,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39772,c_2962]) ).
tcf(c_52208,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44275,c_2962]) ).
tcf(c_52209,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44597,c_2962]) ).
tcf(c_52210,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45198,c_2962]) ).
tcf(c_52211,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45249,c_2962]) ).
tcf(c_52212,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50439,c_2962]) ).
tcf(c_52213,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50650,c_2962]) ).
tcf(c_52214,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51127,c_2962]) ).
tcf(c_52215,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51666,c_2962]) ).
tcf(c_52867,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_44268,c_25602]) ).
tcf(c_52868,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_44268,c_25598]) ).
tcf(c_52869,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_44268,c_9501]) ).
tcf(c_52871,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_44268,c_4553]) ).
tcf(c_52872,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_44268,c_4552]) ).
tcf(c_52874,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_44268,c_4554]) ).
tcf(c_53034,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_1245,c_3575]) ).
tcf(c_53035,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_1246,c_3575]) ).
tcf(c_53036,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_1247,c_3575]) ).
tcf(c_53047,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_3575]) ).
tcf(c_53048,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_3575]) ).
tcf(c_53049,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_3575]) ).
tcf(c_53050,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_3575]) ).
tcf(c_53051,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_3575]) ).
tcf(c_53052,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_3575]) ).
tcf(c_53056,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_3575]) ).
tcf(c_53057,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_3575]) ).
tcf(c_53058,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_3575]) ).
tcf(c_53059,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_3575]) ).
tcf(c_53060,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_3575]) ).
tcf(c_53061,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_3575]) ).
tcf(c_53062,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_3575]) ).
tcf(c_53063,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_3575]) ).
tcf(c_53067,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_3575]) ).
tcf(c_53068,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_3575]) ).
tcf(c_53069,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_3575]) ).
tcf(c_53070,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_3575]) ).
tcf(c_53071,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_3575]) ).
tcf(c_53072,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_3575]) ).
tcf(c_53073,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_3575]) ).
tcf(c_53078,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_3575]) ).
tcf(c_53079,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_3575]) ).
tcf(c_53080,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_3575]) ).
tcf(c_53081,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_3575]) ).
tcf(c_53082,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_3575]) ).
tcf(c_53083,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_3575]) ).
tcf(c_53084,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_3575]) ).
tcf(c_53085,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_3575]) ).
tcf(c_53086,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_3575]) ).
tcf(c_53087,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_3575]) ).
tcf(c_53088,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_3575]) ).
tcf(c_53089,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_3575]) ).
tcf(c_53090,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_3575]) ).
tcf(c_53091,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_3575]) ).
tcf(c_53092,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_3575]) ).
tcf(c_53093,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_3575]) ).
tcf(c_53094,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_3575]) ).
tcf(c_53095,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_3575]) ).
tcf(c_53096,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_3575]) ).
tcf(c_53097,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_3575]) ).
tcf(c_53098,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_3575]) ).
tcf(c_53101,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_3575]) ).
tcf(c_53104,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_3575]) ).
tcf(c_53107,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_3575]) ).
tcf(c_53108,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_3575]) ).
tcf(c_53109,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_3575]) ).
tcf(c_53111,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_3575]) ).
tcf(c_53113,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_3575]) ).
tcf(c_53115,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_3575]) ).
tcf(c_53116,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_3575]) ).
tcf(c_53117,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_3575]) ).
tcf(c_53118,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_3575]) ).
tcf(c_53119,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_3575]) ).
tcf(c_53120,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_3575]) ).
tcf(c_53121,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_3575]) ).
tcf(c_53122,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_3575]) ).
tcf(c_53123,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_3575]) ).
tcf(c_53124,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_3575]) ).
tcf(c_53125,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_3575]) ).
tcf(c_53126,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_3575]) ).
tcf(c_53127,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_3575]) ).
tcf(c_53128,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_3575]) ).
tcf(c_53129,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_3575]) ).
tcf(c_53130,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_3575]) ).
tcf(c_53131,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_3575]) ).
tcf(c_53132,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_3575]) ).
tcf(c_53133,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_3575]) ).
tcf(c_53134,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_3575]) ).
tcf(c_53135,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_3575]) ).
tcf(c_53136,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_3575]) ).
tcf(c_53137,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_3575]) ).
tcf(c_53138,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_3575]) ).
tcf(c_53139,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_3575]) ).
tcf(c_53140,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_3575]) ).
tcf(c_53141,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_3575]) ).
tcf(c_53142,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_3575]) ).
tcf(c_53143,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_3575]) ).
tcf(c_53144,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_3575]) ).
tcf(c_53145,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_3575]) ).
tcf(c_53146,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_3575]) ).
tcf(c_53147,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_3575]) ).
tcf(c_53148,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_3575]) ).
tcf(c_53149,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_3575]) ).
tcf(c_53150,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_3575]) ).
tcf(c_53151,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_3575]) ).
tcf(c_53152,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_3575]) ).
tcf(c_53153,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_3575]) ).
tcf(c_53154,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_3575]) ).
tcf(c_53155,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_3575]) ).
tcf(c_53156,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_3575]) ).
tcf(c_53157,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_3575]) ).
tcf(c_53158,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_3575]) ).
tcf(c_53159,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_3575]) ).
tcf(c_53160,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_3575]) ).
tcf(c_53161,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_3575]) ).
tcf(c_53162,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_3575]) ).
tcf(c_53163,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_3575]) ).
tcf(c_53164,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_3575]) ).
tcf(c_53165,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_3575]) ).
tcf(c_53166,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_3575]) ).
tcf(c_53167,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_3575]) ).
tcf(c_53168,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_3575]) ).
tcf(c_53169,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_3575]) ).
tcf(c_53170,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_3575]) ).
tcf(c_53171,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_3575]) ).
tcf(c_53172,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_3575]) ).
tcf(c_53173,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_3575]) ).
tcf(c_53174,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_3575]) ).
tcf(c_53175,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_3575]) ).
tcf(c_53176,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_3575]) ).
tcf(c_53177,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_3575]) ).
tcf(c_53178,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_3575]) ).
tcf(c_53179,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_3575]) ).
tcf(c_53180,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_3575]) ).
tcf(c_54044,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_1245,c_5018]) ).
tcf(c_54045,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_1246,c_5018]) ).
tcf(c_54046,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_1247,c_5018]) ).
tcf(c_54057,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_5018]) ).
tcf(c_54058,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_5018]) ).
tcf(c_54059,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_5018]) ).
tcf(c_54060,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_5018]) ).
tcf(c_54061,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_5018]) ).
tcf(c_54062,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_5018]) ).
tcf(c_54066,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_5018]) ).
tcf(c_54067,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_5018]) ).
tcf(c_54068,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_5018]) ).
tcf(c_54069,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_5018]) ).
tcf(c_54070,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_5018]) ).
tcf(c_54071,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_5018]) ).
tcf(c_54072,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_5018]) ).
tcf(c_54073,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_5018]) ).
tcf(c_54077,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_5018]) ).
tcf(c_54078,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_5018]) ).
tcf(c_54079,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_5018]) ).
tcf(c_54080,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_5018]) ).
tcf(c_54081,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_5018]) ).
tcf(c_54082,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_5018]) ).
tcf(c_54083,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_5018]) ).
tcf(c_54088,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_5018]) ).
tcf(c_54089,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_5018]) ).
tcf(c_54090,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_5018]) ).
tcf(c_54091,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_5018]) ).
tcf(c_54092,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_5018]) ).
tcf(c_54093,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_5018]) ).
tcf(c_54094,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_5018]) ).
tcf(c_54095,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_5018]) ).
tcf(c_54096,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_5018]) ).
tcf(c_54097,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_5018]) ).
tcf(c_54098,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_5018]) ).
tcf(c_54099,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_5018]) ).
tcf(c_54100,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_5018]) ).
tcf(c_54101,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_5018]) ).
tcf(c_54102,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_5018]) ).
tcf(c_54103,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_5018]) ).
tcf(c_54104,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_5018]) ).
tcf(c_54105,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_5018]) ).
tcf(c_54106,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_5018]) ).
tcf(c_54107,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_5018]) ).
tcf(c_54108,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_5018]) ).
tcf(c_54111,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_5018]) ).
tcf(c_54114,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_5018]) ).
tcf(c_54117,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_5018]) ).
tcf(c_54118,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_5018]) ).
tcf(c_54119,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_5018]) ).
tcf(c_54121,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_5018]) ).
tcf(c_54123,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_5018]) ).
tcf(c_54125,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_5018]) ).
tcf(c_54126,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_5018]) ).
tcf(c_54127,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_5018]) ).
tcf(c_54128,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_5018]) ).
tcf(c_54129,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_5018]) ).
tcf(c_54130,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_5018]) ).
tcf(c_54131,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_5018]) ).
tcf(c_54132,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_5018]) ).
tcf(c_54133,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_5018]) ).
tcf(c_54134,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_5018]) ).
tcf(c_54135,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_5018]) ).
tcf(c_54136,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_5018]) ).
tcf(c_54137,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_5018]) ).
tcf(c_54138,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_5018]) ).
tcf(c_54139,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_5018]) ).
tcf(c_54140,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_5018]) ).
tcf(c_54141,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_5018]) ).
tcf(c_54142,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_5018]) ).
tcf(c_54143,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_5018]) ).
tcf(c_54144,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_5018]) ).
tcf(c_54145,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_5018]) ).
tcf(c_54146,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_5018]) ).
tcf(c_54147,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_5018]) ).
tcf(c_54148,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_5018]) ).
tcf(c_54149,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_5018]) ).
tcf(c_54150,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_5018]) ).
tcf(c_54151,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_5018]) ).
tcf(c_54152,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_5018]) ).
tcf(c_54153,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_5018]) ).
tcf(c_54154,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_5018]) ).
tcf(c_54155,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_5018]) ).
tcf(c_54156,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_5018]) ).
tcf(c_54157,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_5018]) ).
tcf(c_54158,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_5018]) ).
tcf(c_54159,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_5018]) ).
tcf(c_54160,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_5018]) ).
tcf(c_54161,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_5018]) ).
tcf(c_54162,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_5018]) ).
tcf(c_54163,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_5018]) ).
tcf(c_54164,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_5018]) ).
tcf(c_54165,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_5018]) ).
tcf(c_54166,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_5018]) ).
tcf(c_54167,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_5018]) ).
tcf(c_54168,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_5018]) ).
tcf(c_54169,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_5018]) ).
tcf(c_54170,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_5018]) ).
tcf(c_54171,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_5018]) ).
tcf(c_54172,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_5018]) ).
tcf(c_54173,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_5018]) ).
tcf(c_54174,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_5018]) ).
tcf(c_54175,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_5018]) ).
tcf(c_54176,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_5018]) ).
tcf(c_54177,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_5018]) ).
tcf(c_54178,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_5018]) ).
tcf(c_54179,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_5018]) ).
tcf(c_54180,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_5018]) ).
tcf(c_54181,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_5018]) ).
tcf(c_54182,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_5018]) ).
tcf(c_54183,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_5018]) ).
tcf(c_54184,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_5018]) ).
tcf(c_54185,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_5018]) ).
tcf(c_54186,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_5018]) ).
tcf(c_54187,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_5018]) ).
tcf(c_54188,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_5018]) ).
tcf(c_54189,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_5018]) ).
tcf(c_54190,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_5018]) ).
tcf(c_54415,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_1161,c_45955]) ).
tcf(c_54435,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_46737,c_19494]) ).
tcf(c_54472,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_46804,c_20605]) ).
tcf(c_54473,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_46804,c_20604]) ).
tcf(c_54478,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_16865,c_46835]) ).
tcf(c_54481,plain,
smndt0(smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_14855,c_46835]) ).
tcf(c_54483,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_1161,c_46835]) ).
tcf(c_54496,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_54483,c_7817]) ).
tcf(c_54506,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_1245,c_6128]) ).
tcf(c_54507,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_1246,c_6128]) ).
tcf(c_54508,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_1247,c_6128]) ).
tcf(c_54519,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3664,c_6128]) ).
tcf(c_54520,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3731,c_6128]) ).
tcf(c_54521,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3795,c_6128]) ).
tcf(c_54522,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3842,c_6128]) ).
tcf(c_54523,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8452,c_6128]) ).
tcf(c_54524,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16154,c_6128]) ).
tcf(c_54528,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4682,c_6128]) ).
tcf(c_54529,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4795,c_6128]) ).
tcf(c_54530,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4265,c_6128]) ).
tcf(c_54531,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4340,c_6128]) ).
tcf(c_54532,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4441,c_6128]) ).
tcf(c_54533,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4862,c_6128]) ).
tcf(c_54534,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4538,c_6128]) ).
tcf(c_54535,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4954,c_6128]) ).
tcf(c_54539,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5923,c_6128]) ).
tcf(c_54540,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5979,c_6128]) ).
tcf(c_54541,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5553,c_6128]) ).
tcf(c_54542,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_6043,c_6128]) ).
tcf(c_54543,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5648,c_6128]) ).
tcf(c_54544,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5728,c_6128]) ).
tcf(c_54545,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5824,c_6128]) ).
tcf(c_54550,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_7029,c_6128]) ).
tcf(c_54551,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7247,c_6128]) ).
tcf(c_54552,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6642,c_6128]) ).
tcf(c_54553,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6749,c_6128]) ).
tcf(c_54554,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7282,c_6128]) ).
tcf(c_54555,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6929,c_6128]) ).
tcf(c_54556,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6963,c_6128]) ).
tcf(c_54557,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7685,c_6128]) ).
tcf(c_54558,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7511,c_6128]) ).
tcf(c_54559,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7519,c_6128]) ).
tcf(c_54560,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7789,c_6128]) ).
tcf(c_54561,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7939,c_6128]) ).
tcf(c_54562,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_9031,c_6128]) ).
tcf(c_54563,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8480,c_6128]) ).
tcf(c_54564,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8842,c_6128]) ).
tcf(c_54565,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9332,c_6128]) ).
tcf(c_54566,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9478,c_6128]) ).
tcf(c_54567,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9485,c_6128]) ).
tcf(c_54568,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10216,c_6128]) ).
tcf(c_54569,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11489,c_6128]) ).
tcf(c_54570,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13709,c_6128]) ).
tcf(c_54573,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13810,c_6128]) ).
tcf(c_54576,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13892,c_6128]) ).
tcf(c_54579,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19822,c_6128]) ).
tcf(c_54580,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12486,c_6128]) ).
tcf(c_54581,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20429,c_6128]) ).
tcf(c_54583,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20499,c_6128]) ).
tcf(c_54585,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20916,c_6128]) ).
tcf(c_54587,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19944,c_6128]) ).
tcf(c_54588,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_20033,c_6128]) ).
tcf(c_54589,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20914,c_6128]) ).
tcf(c_54590,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14902,c_6128]) ).
tcf(c_54591,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15012,c_6128]) ).
tcf(c_54592,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15186,c_6128]) ).
tcf(c_54593,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15291,c_6128]) ).
tcf(c_54594,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15465,c_6128]) ).
tcf(c_54595,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15827,c_6128]) ).
tcf(c_54596,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16461,c_6128]) ).
tcf(c_54597,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22221,c_6128]) ).
tcf(c_54598,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16575,c_6128]) ).
tcf(c_54599,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16675,c_6128]) ).
tcf(c_54600,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_17000,c_6128]) ).
tcf(c_54601,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17263,c_6128]) ).
tcf(c_54602,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17377,c_6128]) ).
tcf(c_54603,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17474,c_6128]) ).
tcf(c_54604,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17784,c_6128]) ).
tcf(c_54605,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17886,c_6128]) ).
tcf(c_54606,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17983,c_6128]) ).
tcf(c_54607,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18156,c_6128]) ).
tcf(c_54608,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17889,c_6128]) ).
tcf(c_54609,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17890,c_6128]) ).
tcf(c_54610,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18584,c_6128]) ).
tcf(c_54611,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18681,c_6128]) ).
tcf(c_54612,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18781,c_6128]) ).
tcf(c_54613,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18684,c_6128]) ).
tcf(c_54614,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18685,c_6128]) ).
tcf(c_54615,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19159,c_6128]) ).
tcf(c_54616,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19274,c_6128]) ).
tcf(c_54617,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19345,c_6128]) ).
tcf(c_54618,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19464,c_6128]) ).
tcf(c_54619,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19348,c_6128]) ).
tcf(c_54620,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19349,c_6128]) ).
tcf(c_54621,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19942,c_6128]) ).
tcf(c_54622,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_20031,c_6128]) ).
tcf(c_54623,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20370,c_6128]) ).
tcf(c_54624,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20372,c_6128]) ).
tcf(c_54625,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20373,c_6128]) ).
tcf(c_54626,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21326,c_6128]) ).
tcf(c_54627,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21440,c_6128]) ).
tcf(c_54628,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21584,c_6128]) ).
tcf(c_54629,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21624,c_6128]) ).
tcf(c_54630,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29087,c_6128]) ).
tcf(c_54631,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30542,c_6128]) ).
tcf(c_54632,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31722,c_6128]) ).
tcf(c_54633,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29090,c_6128]) ).
tcf(c_54634,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29091,c_6128]) ).
tcf(c_54635,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30545,c_6128]) ).
tcf(c_54636,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30546,c_6128]) ).
tcf(c_54637,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31725,c_6128]) ).
tcf(c_54638,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31726,c_6128]) ).
tcf(c_54639,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34911,c_6128]) ).
tcf(c_54640,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34917,c_6128]) ).
tcf(c_54641,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34918,c_6128]) ).
tcf(c_54642,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39343,c_6128]) ).
tcf(c_54643,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39512,c_6128]) ).
tcf(c_54644,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39772,c_6128]) ).
tcf(c_54645,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44275,c_6128]) ).
tcf(c_54646,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44597,c_6128]) ).
tcf(c_54647,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45198,c_6128]) ).
tcf(c_54648,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45249,c_6128]) ).
tcf(c_54649,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50439,c_6128]) ).
tcf(c_54650,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50650,c_6128]) ).
tcf(c_54651,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51127,c_6128]) ).
tcf(c_54652,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51666,c_6128]) ).
tcf(c_55107,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_1245,c_7336]) ).
tcf(c_55108,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_1246,c_7336]) ).
tcf(c_55109,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_1247,c_7336]) ).
tcf(c_55120,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3664,c_7336]) ).
tcf(c_55121,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3731,c_7336]) ).
tcf(c_55122,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3795,c_7336]) ).
tcf(c_55123,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3842,c_7336]) ).
tcf(c_55124,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8452,c_7336]) ).
tcf(c_55125,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16154,c_7336]) ).
tcf(c_55129,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4682,c_7336]) ).
tcf(c_55130,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4795,c_7336]) ).
tcf(c_55131,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4265,c_7336]) ).
tcf(c_55132,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4340,c_7336]) ).
tcf(c_55133,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4441,c_7336]) ).
tcf(c_55134,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4862,c_7336]) ).
tcf(c_55135,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4538,c_7336]) ).
tcf(c_55136,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4954,c_7336]) ).
tcf(c_55140,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5923,c_7336]) ).
tcf(c_55141,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5979,c_7336]) ).
tcf(c_55142,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5553,c_7336]) ).
tcf(c_55143,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_6043,c_7336]) ).
tcf(c_55144,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5648,c_7336]) ).
tcf(c_55145,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5728,c_7336]) ).
tcf(c_55146,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5824,c_7336]) ).
tcf(c_55151,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_7029,c_7336]) ).
tcf(c_55152,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7247,c_7336]) ).
tcf(c_55153,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6642,c_7336]) ).
tcf(c_55154,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6749,c_7336]) ).
tcf(c_55155,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7282,c_7336]) ).
tcf(c_55156,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6929,c_7336]) ).
tcf(c_55157,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6963,c_7336]) ).
tcf(c_55158,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7685,c_7336]) ).
tcf(c_55159,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7511,c_7336]) ).
tcf(c_55160,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7519,c_7336]) ).
tcf(c_55161,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7789,c_7336]) ).
tcf(c_55162,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7939,c_7336]) ).
tcf(c_55163,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_9031,c_7336]) ).
tcf(c_55164,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8480,c_7336]) ).
tcf(c_55165,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8842,c_7336]) ).
tcf(c_55166,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9332,c_7336]) ).
tcf(c_55167,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9478,c_7336]) ).
tcf(c_55168,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9485,c_7336]) ).
tcf(c_55169,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10216,c_7336]) ).
tcf(c_55170,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11489,c_7336]) ).
tcf(c_55171,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13709,c_7336]) ).
tcf(c_55174,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13810,c_7336]) ).
tcf(c_55177,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13892,c_7336]) ).
tcf(c_55180,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19822,c_7336]) ).
tcf(c_55181,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12486,c_7336]) ).
tcf(c_55182,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20429,c_7336]) ).
tcf(c_55184,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20499,c_7336]) ).
tcf(c_55186,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20916,c_7336]) ).
tcf(c_55188,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19944,c_7336]) ).
tcf(c_55189,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_20033,c_7336]) ).
tcf(c_55190,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20914,c_7336]) ).
tcf(c_55191,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14902,c_7336]) ).
tcf(c_55192,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15012,c_7336]) ).
tcf(c_55193,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15186,c_7336]) ).
tcf(c_55194,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15291,c_7336]) ).
tcf(c_55195,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15465,c_7336]) ).
tcf(c_55196,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15827,c_7336]) ).
tcf(c_55197,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16461,c_7336]) ).
tcf(c_55198,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22221,c_7336]) ).
tcf(c_55199,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16575,c_7336]) ).
tcf(c_55200,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16675,c_7336]) ).
tcf(c_55201,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_17000,c_7336]) ).
tcf(c_55202,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17263,c_7336]) ).
tcf(c_55203,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17377,c_7336]) ).
tcf(c_55204,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17474,c_7336]) ).
tcf(c_55205,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17784,c_7336]) ).
tcf(c_55206,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17886,c_7336]) ).
tcf(c_55207,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17983,c_7336]) ).
tcf(c_55208,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18156,c_7336]) ).
tcf(c_55209,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17889,c_7336]) ).
tcf(c_55210,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17890,c_7336]) ).
tcf(c_55211,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18584,c_7336]) ).
tcf(c_55212,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18681,c_7336]) ).
tcf(c_55213,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18781,c_7336]) ).
tcf(c_55214,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18684,c_7336]) ).
tcf(c_55215,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18685,c_7336]) ).
tcf(c_55216,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19159,c_7336]) ).
tcf(c_55217,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19274,c_7336]) ).
tcf(c_55218,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19345,c_7336]) ).
tcf(c_55219,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19464,c_7336]) ).
tcf(c_55220,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19348,c_7336]) ).
tcf(c_55221,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19349,c_7336]) ).
tcf(c_55222,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19942,c_7336]) ).
tcf(c_55223,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_20031,c_7336]) ).
tcf(c_55224,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20370,c_7336]) ).
tcf(c_55225,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20372,c_7336]) ).
tcf(c_55226,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20373,c_7336]) ).
tcf(c_55227,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21326,c_7336]) ).
tcf(c_55228,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21440,c_7336]) ).
tcf(c_55229,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21584,c_7336]) ).
tcf(c_55230,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21624,c_7336]) ).
tcf(c_55231,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29087,c_7336]) ).
tcf(c_55232,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30542,c_7336]) ).
tcf(c_55233,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31722,c_7336]) ).
tcf(c_55234,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29090,c_7336]) ).
tcf(c_55235,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29091,c_7336]) ).
tcf(c_55236,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30545,c_7336]) ).
tcf(c_55237,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30546,c_7336]) ).
tcf(c_55238,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31725,c_7336]) ).
tcf(c_55239,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31726,c_7336]) ).
tcf(c_55240,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34911,c_7336]) ).
tcf(c_55241,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34917,c_7336]) ).
tcf(c_55242,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34918,c_7336]) ).
tcf(c_55243,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39343,c_7336]) ).
tcf(c_55244,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39512,c_7336]) ).
tcf(c_55245,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39772,c_7336]) ).
tcf(c_55246,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44275,c_7336]) ).
tcf(c_55247,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44597,c_7336]) ).
tcf(c_55248,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45198,c_7336]) ).
tcf(c_55249,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45249,c_7336]) ).
tcf(c_55250,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50439,c_7336]) ).
tcf(c_55251,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50650,c_7336]) ).
tcf(c_55252,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51127,c_7336]) ).
tcf(c_55253,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51666,c_7336]) ).
tcf(c_55857,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_1245,c_8139]) ).
tcf(c_55858,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_1246,c_8139]) ).
tcf(c_55859,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_1247,c_8139]) ).
tcf(c_55870,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3664,c_8139]) ).
tcf(c_55871,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3731,c_8139]) ).
tcf(c_55872,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3795,c_8139]) ).
tcf(c_55873,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3842,c_8139]) ).
tcf(c_55874,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8452,c_8139]) ).
tcf(c_55875,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16154,c_8139]) ).
tcf(c_55879,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4682,c_8139]) ).
tcf(c_55880,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4795,c_8139]) ).
tcf(c_55881,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4265,c_8139]) ).
tcf(c_55882,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4340,c_8139]) ).
tcf(c_55883,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4441,c_8139]) ).
tcf(c_55884,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4862,c_8139]) ).
tcf(c_55885,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4538,c_8139]) ).
tcf(c_55886,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4954,c_8139]) ).
tcf(c_55890,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5923,c_8139]) ).
tcf(c_55891,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5979,c_8139]) ).
tcf(c_55892,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5553,c_8139]) ).
tcf(c_55893,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_6043,c_8139]) ).
tcf(c_55894,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5648,c_8139]) ).
tcf(c_55895,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5728,c_8139]) ).
tcf(c_55896,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5824,c_8139]) ).
tcf(c_55901,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_7029,c_8139]) ).
tcf(c_55902,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7247,c_8139]) ).
tcf(c_55903,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6642,c_8139]) ).
tcf(c_55904,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6749,c_8139]) ).
tcf(c_55905,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7282,c_8139]) ).
tcf(c_55906,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6929,c_8139]) ).
tcf(c_55907,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6963,c_8139]) ).
tcf(c_55908,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7685,c_8139]) ).
tcf(c_55909,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7511,c_8139]) ).
tcf(c_55910,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7519,c_8139]) ).
tcf(c_55911,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7789,c_8139]) ).
tcf(c_55912,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7939,c_8139]) ).
tcf(c_55913,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_9031,c_8139]) ).
tcf(c_55914,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8480,c_8139]) ).
tcf(c_55915,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8842,c_8139]) ).
tcf(c_55916,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9332,c_8139]) ).
tcf(c_55917,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9478,c_8139]) ).
tcf(c_55918,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9485,c_8139]) ).
tcf(c_55919,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10216,c_8139]) ).
tcf(c_55920,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11489,c_8139]) ).
tcf(c_55921,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13709,c_8139]) ).
tcf(c_55924,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13810,c_8139]) ).
tcf(c_55927,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13892,c_8139]) ).
tcf(c_55930,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19822,c_8139]) ).
tcf(c_55931,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12486,c_8139]) ).
tcf(c_55932,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20429,c_8139]) ).
tcf(c_55934,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20499,c_8139]) ).
tcf(c_55936,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20916,c_8139]) ).
tcf(c_55938,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19944,c_8139]) ).
tcf(c_55939,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_20033,c_8139]) ).
tcf(c_55940,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20914,c_8139]) ).
tcf(c_55941,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14902,c_8139]) ).
tcf(c_55942,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15012,c_8139]) ).
tcf(c_55943,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15186,c_8139]) ).
tcf(c_55944,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15291,c_8139]) ).
tcf(c_55945,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15465,c_8139]) ).
tcf(c_55946,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15827,c_8139]) ).
tcf(c_55947,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16461,c_8139]) ).
tcf(c_55948,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22221,c_8139]) ).
tcf(c_55949,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16575,c_8139]) ).
tcf(c_55950,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16675,c_8139]) ).
tcf(c_55951,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_17000,c_8139]) ).
tcf(c_55952,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17263,c_8139]) ).
tcf(c_55953,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17377,c_8139]) ).
tcf(c_55954,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17474,c_8139]) ).
tcf(c_55955,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17784,c_8139]) ).
tcf(c_55956,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17886,c_8139]) ).
tcf(c_55957,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17983,c_8139]) ).
tcf(c_55958,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18156,c_8139]) ).
tcf(c_55959,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17889,c_8139]) ).
tcf(c_55960,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17890,c_8139]) ).
tcf(c_55961,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18584,c_8139]) ).
tcf(c_55962,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18681,c_8139]) ).
tcf(c_55963,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18781,c_8139]) ).
tcf(c_55964,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18684,c_8139]) ).
tcf(c_55965,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18685,c_8139]) ).
tcf(c_55966,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19159,c_8139]) ).
tcf(c_55967,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19274,c_8139]) ).
tcf(c_55968,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19345,c_8139]) ).
tcf(c_55969,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19464,c_8139]) ).
tcf(c_55970,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19348,c_8139]) ).
tcf(c_55971,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19349,c_8139]) ).
tcf(c_55972,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19942,c_8139]) ).
tcf(c_55973,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_20031,c_8139]) ).
tcf(c_55974,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20370,c_8139]) ).
tcf(c_55975,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20372,c_8139]) ).
tcf(c_55976,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20373,c_8139]) ).
tcf(c_55977,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21326,c_8139]) ).
tcf(c_55978,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21440,c_8139]) ).
tcf(c_55979,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21584,c_8139]) ).
tcf(c_55980,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21624,c_8139]) ).
tcf(c_55981,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29087,c_8139]) ).
tcf(c_55982,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30542,c_8139]) ).
tcf(c_55983,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31722,c_8139]) ).
tcf(c_55984,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29090,c_8139]) ).
tcf(c_55985,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29091,c_8139]) ).
tcf(c_55986,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30545,c_8139]) ).
tcf(c_55987,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30546,c_8139]) ).
tcf(c_55988,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31725,c_8139]) ).
tcf(c_55989,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31726,c_8139]) ).
tcf(c_55990,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34911,c_8139]) ).
tcf(c_55991,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34917,c_8139]) ).
tcf(c_55992,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34918,c_8139]) ).
tcf(c_55993,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39343,c_8139]) ).
tcf(c_55994,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39512,c_8139]) ).
tcf(c_55995,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39772,c_8139]) ).
tcf(c_55996,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44275,c_8139]) ).
tcf(c_55997,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44597,c_8139]) ).
tcf(c_55998,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45198,c_8139]) ).
tcf(c_55999,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45249,c_8139]) ).
tcf(c_56000,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50439,c_8139]) ).
tcf(c_56001,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50650,c_8139]) ).
tcf(c_56002,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51127,c_8139]) ).
tcf(c_56003,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51666,c_8139]) ).
tcf(c_56412,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_54481,c_4004]) ).
tcf(c_56413,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_54481,c_4003]) ).
tcf(c_56416,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_54481,c_4010]) ).
tcf(c_56448,plain,
sdtasdt0(xR,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_46838,c_17504]) ).
tcf(c_56458,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_46847,c_8867]) ).
tcf(c_56459,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_46847,c_8866]) ).
tcf(c_56461,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_46847,c_8844]) ).
tcf(c_56483,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_22463,c_47152]) ).
tcf(c_56484,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_17737,c_47152]) ).
tcf(c_56511,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47325,c_20685]) ).
tcf(c_56512,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_47325,c_20684]) ).
tcf(c_56530,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47472,c_21057]) ).
tcf(c_56531,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_47472,c_21056]) ).
tcf(c_56574,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47481,c_21057]) ).
tcf(c_56575,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_47481,c_21056]) ).
tcf(c_56598,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47494,c_21057]) ).
tcf(c_56599,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_47494,c_21056]) ).
tcf(c_56654,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_47532,c_15858]) ).
tcf(c_56751,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_47533,c_18187]) ).
tcf(c_56760,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_1245,c_9158]) ).
tcf(c_56761,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_1246,c_9158]) ).
tcf(c_56762,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_1247,c_9158]) ).
tcf(c_56773,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3664,c_9158]) ).
tcf(c_56774,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3731,c_9158]) ).
tcf(c_56775,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3795,c_9158]) ).
tcf(c_56776,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3842,c_9158]) ).
tcf(c_56777,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8452,c_9158]) ).
tcf(c_56778,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16154,c_9158]) ).
tcf(c_56782,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4682,c_9158]) ).
tcf(c_56783,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4795,c_9158]) ).
tcf(c_56784,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4265,c_9158]) ).
tcf(c_56785,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4340,c_9158]) ).
tcf(c_56786,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4441,c_9158]) ).
tcf(c_56787,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4862,c_9158]) ).
tcf(c_56788,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4538,c_9158]) ).
tcf(c_56789,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4954,c_9158]) ).
tcf(c_56793,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5923,c_9158]) ).
tcf(c_56794,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5979,c_9158]) ).
tcf(c_56795,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5553,c_9158]) ).
tcf(c_56796,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_6043,c_9158]) ).
tcf(c_56797,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5648,c_9158]) ).
tcf(c_56798,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5728,c_9158]) ).
tcf(c_56799,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5824,c_9158]) ).
tcf(c_56804,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_7029,c_9158]) ).
tcf(c_56805,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7247,c_9158]) ).
tcf(c_56806,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6642,c_9158]) ).
tcf(c_56807,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6749,c_9158]) ).
tcf(c_56808,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7282,c_9158]) ).
tcf(c_56809,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6929,c_9158]) ).
tcf(c_56810,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6963,c_9158]) ).
tcf(c_56811,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7685,c_9158]) ).
tcf(c_56812,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7511,c_9158]) ).
tcf(c_56813,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7519,c_9158]) ).
tcf(c_56814,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7789,c_9158]) ).
tcf(c_56815,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7939,c_9158]) ).
tcf(c_56816,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_9031,c_9158]) ).
tcf(c_56817,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8480,c_9158]) ).
tcf(c_56818,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8842,c_9158]) ).
tcf(c_56819,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9332,c_9158]) ).
tcf(c_56820,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9478,c_9158]) ).
tcf(c_56821,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9485,c_9158]) ).
tcf(c_56822,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10216,c_9158]) ).
tcf(c_56823,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11489,c_9158]) ).
tcf(c_56824,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13709,c_9158]) ).
tcf(c_56827,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13810,c_9158]) ).
tcf(c_56830,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13892,c_9158]) ).
tcf(c_56833,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19822,c_9158]) ).
tcf(c_56834,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12486,c_9158]) ).
tcf(c_56835,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20429,c_9158]) ).
tcf(c_56837,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20499,c_9158]) ).
tcf(c_56839,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20916,c_9158]) ).
tcf(c_56841,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19944,c_9158]) ).
tcf(c_56842,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_20033,c_9158]) ).
tcf(c_56843,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20914,c_9158]) ).
tcf(c_56844,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14902,c_9158]) ).
tcf(c_56845,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15012,c_9158]) ).
tcf(c_56846,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15186,c_9158]) ).
tcf(c_56847,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15291,c_9158]) ).
tcf(c_56848,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15465,c_9158]) ).
tcf(c_56849,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15827,c_9158]) ).
tcf(c_56850,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16461,c_9158]) ).
tcf(c_56851,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22221,c_9158]) ).
tcf(c_56852,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16575,c_9158]) ).
tcf(c_56853,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16675,c_9158]) ).
tcf(c_56854,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_17000,c_9158]) ).
tcf(c_56855,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17263,c_9158]) ).
tcf(c_56856,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17377,c_9158]) ).
tcf(c_56857,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17474,c_9158]) ).
tcf(c_56858,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17784,c_9158]) ).
tcf(c_56859,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17886,c_9158]) ).
tcf(c_56860,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17983,c_9158]) ).
tcf(c_56861,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18156,c_9158]) ).
tcf(c_56862,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17889,c_9158]) ).
tcf(c_56863,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17890,c_9158]) ).
tcf(c_56864,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18584,c_9158]) ).
tcf(c_56865,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18681,c_9158]) ).
tcf(c_56866,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18781,c_9158]) ).
tcf(c_56867,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18684,c_9158]) ).
tcf(c_56868,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18685,c_9158]) ).
tcf(c_56869,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19159,c_9158]) ).
tcf(c_56870,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19274,c_9158]) ).
tcf(c_56871,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19345,c_9158]) ).
tcf(c_56872,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19464,c_9158]) ).
tcf(c_56873,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19348,c_9158]) ).
tcf(c_56874,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19349,c_9158]) ).
tcf(c_56875,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19942,c_9158]) ).
tcf(c_56876,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_20031,c_9158]) ).
tcf(c_56877,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20370,c_9158]) ).
tcf(c_56878,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20372,c_9158]) ).
tcf(c_56879,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20373,c_9158]) ).
tcf(c_56880,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21326,c_9158]) ).
tcf(c_56881,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21440,c_9158]) ).
tcf(c_56882,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21584,c_9158]) ).
tcf(c_56883,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21624,c_9158]) ).
tcf(c_56884,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29087,c_9158]) ).
tcf(c_56885,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30542,c_9158]) ).
tcf(c_56886,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31722,c_9158]) ).
tcf(c_56887,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29090,c_9158]) ).
tcf(c_56888,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29091,c_9158]) ).
tcf(c_56889,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30545,c_9158]) ).
tcf(c_56890,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30546,c_9158]) ).
tcf(c_56891,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31725,c_9158]) ).
tcf(c_56892,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31726,c_9158]) ).
tcf(c_56893,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34911,c_9158]) ).
tcf(c_56894,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34917,c_9158]) ).
tcf(c_56895,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34918,c_9158]) ).
tcf(c_56896,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39343,c_9158]) ).
tcf(c_56897,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39512,c_9158]) ).
tcf(c_56898,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39772,c_9158]) ).
tcf(c_56899,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44275,c_9158]) ).
tcf(c_56900,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44597,c_9158]) ).
tcf(c_56901,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45198,c_9158]) ).
tcf(c_56902,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45249,c_9158]) ).
tcf(c_56903,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50439,c_9158]) ).
tcf(c_56904,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50650,c_9158]) ).
tcf(c_56905,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51127,c_9158]) ).
tcf(c_56906,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51666,c_9158]) ).
tcf(c_57546,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_1245,c_9496]) ).
tcf(c_57547,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_1246,c_9496]) ).
tcf(c_57548,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_1247,c_9496]) ).
tcf(c_57559,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3664,c_9496]) ).
tcf(c_57560,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3731,c_9496]) ).
tcf(c_57561,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3795,c_9496]) ).
tcf(c_57562,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3842,c_9496]) ).
tcf(c_57563,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8452,c_9496]) ).
tcf(c_57564,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16154,c_9496]) ).
tcf(c_57568,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4682,c_9496]) ).
tcf(c_57569,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4795,c_9496]) ).
tcf(c_57570,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4265,c_9496]) ).
tcf(c_57571,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4340,c_9496]) ).
tcf(c_57572,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4441,c_9496]) ).
tcf(c_57573,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4862,c_9496]) ).
tcf(c_57574,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4538,c_9496]) ).
tcf(c_57575,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4954,c_9496]) ).
tcf(c_57579,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5923,c_9496]) ).
tcf(c_57580,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5979,c_9496]) ).
tcf(c_57581,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5553,c_9496]) ).
tcf(c_57582,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_6043,c_9496]) ).
tcf(c_57583,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5648,c_9496]) ).
tcf(c_57584,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5728,c_9496]) ).
tcf(c_57585,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5824,c_9496]) ).
tcf(c_57590,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_7029,c_9496]) ).
tcf(c_57591,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7247,c_9496]) ).
tcf(c_57592,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6642,c_9496]) ).
tcf(c_57593,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6749,c_9496]) ).
tcf(c_57594,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7282,c_9496]) ).
tcf(c_57595,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6929,c_9496]) ).
tcf(c_57596,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6963,c_9496]) ).
tcf(c_57597,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7685,c_9496]) ).
tcf(c_57598,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7511,c_9496]) ).
tcf(c_57599,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7519,c_9496]) ).
tcf(c_57600,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7789,c_9496]) ).
tcf(c_57601,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7939,c_9496]) ).
tcf(c_57602,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_9031,c_9496]) ).
tcf(c_57603,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8480,c_9496]) ).
tcf(c_57604,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8842,c_9496]) ).
tcf(c_57605,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9332,c_9496]) ).
tcf(c_57606,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9478,c_9496]) ).
tcf(c_57607,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9485,c_9496]) ).
tcf(c_57608,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10216,c_9496]) ).
tcf(c_57609,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11489,c_9496]) ).
tcf(c_57610,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13709,c_9496]) ).
tcf(c_57613,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13810,c_9496]) ).
tcf(c_57616,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13892,c_9496]) ).
tcf(c_57619,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19822,c_9496]) ).
tcf(c_57620,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12486,c_9496]) ).
tcf(c_57621,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20429,c_9496]) ).
tcf(c_57623,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20499,c_9496]) ).
tcf(c_57625,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20916,c_9496]) ).
tcf(c_57627,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19944,c_9496]) ).
tcf(c_57628,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_20033,c_9496]) ).
tcf(c_57629,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20914,c_9496]) ).
tcf(c_57630,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14902,c_9496]) ).
tcf(c_57631,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15012,c_9496]) ).
tcf(c_57632,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15186,c_9496]) ).
tcf(c_57633,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15291,c_9496]) ).
tcf(c_57634,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15465,c_9496]) ).
tcf(c_57635,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15827,c_9496]) ).
tcf(c_57636,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16461,c_9496]) ).
tcf(c_57637,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22221,c_9496]) ).
tcf(c_57638,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16575,c_9496]) ).
tcf(c_57639,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16675,c_9496]) ).
tcf(c_57640,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_17000,c_9496]) ).
tcf(c_57641,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17263,c_9496]) ).
tcf(c_57642,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17377,c_9496]) ).
tcf(c_57643,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17474,c_9496]) ).
tcf(c_57644,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17784,c_9496]) ).
tcf(c_57645,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17886,c_9496]) ).
tcf(c_57646,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17983,c_9496]) ).
tcf(c_57647,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18156,c_9496]) ).
tcf(c_57648,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17889,c_9496]) ).
tcf(c_57649,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17890,c_9496]) ).
tcf(c_57650,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18584,c_9496]) ).
tcf(c_57651,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18681,c_9496]) ).
tcf(c_57652,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18781,c_9496]) ).
tcf(c_57653,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18684,c_9496]) ).
tcf(c_57654,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18685,c_9496]) ).
tcf(c_57655,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19159,c_9496]) ).
tcf(c_57656,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19274,c_9496]) ).
tcf(c_57657,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19345,c_9496]) ).
tcf(c_57658,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19464,c_9496]) ).
tcf(c_57659,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19348,c_9496]) ).
tcf(c_57660,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19349,c_9496]) ).
tcf(c_57661,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19942,c_9496]) ).
tcf(c_57662,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_20031,c_9496]) ).
tcf(c_57663,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20370,c_9496]) ).
tcf(c_57664,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20372,c_9496]) ).
tcf(c_57665,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20373,c_9496]) ).
tcf(c_57666,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21326,c_9496]) ).
tcf(c_57667,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21440,c_9496]) ).
tcf(c_57668,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21584,c_9496]) ).
tcf(c_57669,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21624,c_9496]) ).
tcf(c_57670,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29087,c_9496]) ).
tcf(c_57671,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30542,c_9496]) ).
tcf(c_57672,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31722,c_9496]) ).
tcf(c_57673,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29090,c_9496]) ).
tcf(c_57674,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29091,c_9496]) ).
tcf(c_57675,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30545,c_9496]) ).
tcf(c_57676,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30546,c_9496]) ).
tcf(c_57677,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31725,c_9496]) ).
tcf(c_57678,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31726,c_9496]) ).
tcf(c_57679,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34911,c_9496]) ).
tcf(c_57680,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34917,c_9496]) ).
tcf(c_57681,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34918,c_9496]) ).
tcf(c_57682,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39343,c_9496]) ).
tcf(c_57683,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39512,c_9496]) ).
tcf(c_57684,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39772,c_9496]) ).
tcf(c_57685,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44275,c_9496]) ).
tcf(c_57686,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44597,c_9496]) ).
tcf(c_57687,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45198,c_9496]) ).
tcf(c_57688,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45249,c_9496]) ).
tcf(c_57689,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50439,c_9496]) ).
tcf(c_57690,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50650,c_9496]) ).
tcf(c_57691,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51127,c_9496]) ).
tcf(c_57692,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51666,c_9496]) ).
tcf(c_89445,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_57692,c_57691,c_57690,c_57689,c_57688,c_57687,c_57686,c_57685,c_57684,c_57683,c_57682,c_57681,c_57680,c_57679,c_57678,c_57677,c_57676,c_57675,c_57674,c_57673,c_57672,c_57671,c_57670,c_57669,c_57668,c_57667,c_57666,c_57665,c_57664,c_57663,c_57662,c_57661,c_57660,c_57659,c_57658,c_57657,c_57656,c_57655,c_57654,c_57653,c_57652,c_57651,c_57650,c_57649,c_57648,c_57647,c_57646,c_57645,c_57644,c_57643,c_57642,c_57641,c_57640,c_57639,c_57638,c_57637,c_57636,c_57635,c_57634,c_57633,c_57632,c_57631,c_57630,c_57629,c_57628,c_57627,c_57625,c_57623,c_57621,c_57620,c_57619,c_57616,c_57613,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_57585,c_57584,c_57583,c_57582,c_57581,c_57580,c_57579,c_57575,c_57574,c_57573,c_57572,c_57571,c_57570,c_57569,c_57568,c_57564,c_57563,c_57562,c_57561,c_57560,c_57559,c_57548,c_57547,c_57546,c_56906,c_56905,c_56904,c_56903,c_56902,c_56901,c_56900,c_56899,c_56898,c_56897,c_56896,c_56895,c_56894,c_56893,c_56892,c_56891,c_56890,c_56889,c_56888,c_56887,c_56886,c_56885,c_56884,c_56883,c_56882,c_56881,c_56880,c_56879,c_56878,c_56877,c_56876,c_56875,c_56874,c_56873,c_56872,c_56871,c_56870,c_56869,c_56868,c_56867,c_56866,c_56865,c_56864,c_56863,c_56862,c_56861,c_56860,c_56859,c_56858,c_56857,c_56856,c_56855,c_56854,c_56853,c_56852,c_56851,c_56850,c_56849,c_56848,c_56847,c_56846,c_56845,c_56844,c_56843,c_56842,c_56841,c_56839,c_56837,c_56835,c_56834,c_56833,c_56830,c_56827,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_56799,c_56798,c_56797,c_56796,c_56795,c_56794,c_56793,c_56789,c_56788,c_56787,c_56786,c_56785,c_56784,c_56783,c_56782,c_56778,c_56777,c_56776,c_56775,c_56774,c_56773,c_56762,c_56761,c_56760,c_56751,c_56654,c_56599,c_56598,c_56575,c_56574,c_56531,c_56530,c_56512,c_56511,c_56484,c_56483,c_56461,c_56459,c_56458,c_56448,c_56416,c_56413,c_56412,c_56003,c_56002,c_56001,c_56000,c_55999,c_55998,c_55997,c_55996,c_55995,c_55994,c_55993,c_55992,c_55991,c_55990,c_55989,c_55988,c_55987,c_55986,c_55985,c_55984,c_55983,c_55982,c_55981,c_55980,c_55979,c_55978,c_55977,c_55976,c_55975,c_55974,c_55973,c_55972,c_55971,c_55970,c_55969,c_55968,c_55967,c_55966,c_55965,c_55964,c_55963,c_55962,c_55961,c_55960,c_55959,c_55958,c_55957,c_55956,c_55955,c_55954,c_55953,c_55952,c_55951,c_55950,c_55949,c_55948,c_55947,c_55946,c_55945,c_55944,c_55943,c_55942,c_55941,c_55940,c_55939,c_55938,c_55936,c_55934,c_55932,c_55931,c_55930,c_55927,c_55924,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_55896,c_55895,c_55894,c_55893,c_55892,c_55891,c_55890,c_55886,c_55885,c_55884,c_55883,c_55882,c_55881,c_55880,c_55879,c_55875,c_55874,c_55873,c_55872,c_55871,c_55870,c_55859,c_55858,c_55857,c_55253,c_55252,c_55251,c_55250,c_55249,c_55248,c_55247,c_55246,c_55245,c_55244,c_55243,c_55242,c_55241,c_55240,c_55239,c_55238,c_55237,c_55236,c_55235,c_55234,c_55233,c_55232,c_55231,c_55230,c_55229,c_55228,c_55227,c_55226,c_55225,c_55224,c_55223,c_55222,c_55221,c_55220,c_55219,c_55218,c_55217,c_55216,c_55215,c_55214,c_55213,c_55212,c_55211,c_55210,c_55209,c_55208,c_55207,c_55206,c_55205,c_55204,c_55203,c_55202,c_55201,c_55200,c_55199,c_55198,c_55197,c_55196,c_55195,c_55194,c_55193,c_55192,c_55191,c_55190,c_55189,c_55188,c_55186,c_55184,c_55182,c_55181,c_55180,c_55177,c_55174,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_55146,c_55145,c_55144,c_55143,c_55142,c_55141,c_55140,c_55136,c_55135,c_55134,c_55133,c_55132,c_55131,c_55130,c_55129,c_55125,c_55124,c_55123,c_55122,c_55121,c_55120,c_55109,c_55108,c_55107,c_54652,c_54651,c_54650,c_54649,c_54648,c_54647,c_54646,c_54645,c_54644,c_54643,c_54642,c_54641,c_54640,c_54639,c_54638,c_54637,c_54636,c_54635,c_54634,c_54633,c_54632,c_54631,c_54630,c_54629,c_54628,c_54627,c_54626,c_54625,c_54624,c_54623,c_54622,c_54621,c_54620,c_54619,c_54618,c_54617,c_54616,c_54615,c_54614,c_54613,c_54612,c_54611,c_54610,c_54609,c_54608,c_54607,c_54606,c_54605,c_54604,c_54603,c_54602,c_54601,c_54600,c_54599,c_54598,c_54597,c_54596,c_54595,c_54594,c_54593,c_54592,c_54591,c_54590,c_54589,c_54588,c_54587,c_54585,c_54583,c_54581,c_54580,c_54579,c_54576,c_54573,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_54545,c_54544,c_54543,c_54542,c_54541,c_54540,c_54539,c_54535,c_54534,c_54533,c_54532,c_54531,c_54530,c_54529,c_54528,c_54524,c_54523,c_54522,c_54521,c_54520,c_54519,c_54508,c_54507,c_54506,c_54496,c_54481,c_54483,c_54478,c_54473,c_54472,c_54435,c_54415,c_54190,c_54189,c_54188,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG062+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Thu Sep 24 08:07:39 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 79.71/24.53 % SZS status Started for theBenchmark.p
% 79.71/24.53 % SZS status Theorem for theBenchmark.p
% 79.71/24.53
% 79.71/24.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 79.71/24.53
% 79.71/24.53 % ------ iProver source info
% 79.71/24.53
% 79.71/24.53 % git: date: 2026-07-19 20:42:38 +0200
% 79.71/24.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 79.71/24.53 % git: non_committed_changes: false
% 79.71/24.53
% 79.71/24.53 % ------ Parsing...
% 79.71/24.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 79.71/24.53
% 79.71/24.53 % ------ 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 %
% 79.71/24.53
% 79.71/24.53 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 79.71/24.53
% 79.71/24.53 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 79.71/24.53 % ------ Proving...
% 79.71/24.53 % ------ Problem Properties
% 79.71/24.53
% 79.71/24.53 %
% 79.71/24.53 % clauses 98
% 79.71/24.53 % conjectures 1
% 79.71/24.53 % EPR 25
% 79.71/24.53 % Horn 86
% 79.71/24.53 % unary 45
% 79.71/24.53 % binary 19
% 79.71/24.53 % lits 232
% 79.71/24.53 % lits eq 77
% 79.71/24.53 % fd_pure 0
% 79.71/24.53 % fd_pseudo 0
% 79.71/24.53 % fd_cond 1
% 79.71/24.53 % fd_pseudo_cond 5
% 79.71/24.53 % AC symbols 0
% 79.71/24.53
% 79.71/24.53 % ------ Input Options Time Limit: Unbounded
% 79.71/24.53
% 79.71/24.53
% 79.71/24.53 % ------
% 79.71/24.53 % Current options:
% 79.71/24.53 % ------
% 79.71/24.53
% 79.71/24.53
% 79.71/24.53 %
% 79.71/24.53
% 79.71/24.53 % ------ Proving...
% 79.71/24.53 %
% 79.71/24.53
% 79.71/24.53 % SZS status Theorem for theBenchmark.p
% 79.71/24.53
% 79.71/24.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 175.87/24.70
% 175.87/24.70
%------------------------------------------------------------------------------