%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM435+1 : 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 : n020.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 02:24:15 PM UTC 2026
% Result : Theorem 46.48s 7.31s
% Output : CNFRefutation 46.48s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(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',mDistrib) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f23,axiom,
( xq != sz00
& aInteger0(xq)
& xp != sz00
& aInteger0(xp)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__979) ).
fof(f25,axiom,
( sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1032) ).
fof(f26,conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f27,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(flattening,[],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f33,plain,
! [X0] :
( ~ aInteger0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(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,[],[f14]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(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,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f43,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f47,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f49,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
sz00 != xq,
inference(cnf_transformation,[],[f23]) ).
fof(f57,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f23]) ).
fof(f58,plain,
sz00 != xp,
inference(cnf_transformation,[],[f23]) ).
fof(f59,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f23]) ).
fof(f61,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f23]) ).
fof(f63,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f25]) ).
fof(f64,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f65,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f28]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f31]) ).
fof(f67,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f68,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f32]) ).
fof(f69,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f70,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f80,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f81,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f82,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_49,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f61]) ).
tcf(c_50,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f60]) ).
tcf(c_51,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f59]) ).
tcf(c_52,plain,
xp != sz00,
inference(cnf_transformation,[],[f58]) ).
tcf(c_53,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f57]) ).
tcf(c_54,plain,
sz00 != xq,
inference(cnf_transformation,[],[f56]) ).
tcf(c_56,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f64]) ).
tcf(c_57,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f63]) ).
tcf(c_58,negated_conjecture,
sdtasdt0(xq,sdtasdt0(xp,xm)) != sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f65]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_64,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f71]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_73,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_74,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_75,plain,
! [X0: $i] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_903,plain,
sdtasdt0(xa,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_904,plain,
sdtasdt0(xb,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_60]) ).
tcf(c_905,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_60]) ).
tcf(c_906,plain,
sdtasdt0(xq,sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_60]) ).
tcf(c_907,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_60]) ).
tcf(c_908,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_60]) ).
tcf(c_909,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_60]) ).
tcf(c_917,plain,
sdtasdt0(sz00,xa) = sz00,
inference(superposition,[status(thm)],[c_49,c_61]) ).
tcf(c_918,plain,
sdtasdt0(sz00,xb) = sz00,
inference(superposition,[status(thm)],[c_50,c_61]) ).
tcf(c_919,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_61]) ).
tcf(c_920,plain,
sdtasdt0(sz00,xq) = sz00,
inference(superposition,[status(thm)],[c_53,c_61]) ).
tcf(c_921,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_56,c_61]) ).
tcf(c_923,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_61]) ).
tcf(c_931,plain,
sdtpldt0(xa,sz00) = xa,
inference(superposition,[status(thm)],[c_49,c_62]) ).
tcf(c_932,plain,
sdtpldt0(xb,sz00) = xb,
inference(superposition,[status(thm)],[c_50,c_62]) ).
tcf(c_933,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_62]) ).
tcf(c_934,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_53,c_62]) ).
tcf(c_935,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_56,c_62]) ).
tcf(c_936,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_62]) ).
tcf(c_937,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = smndt0(X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_62]) ).
tcf(c_945,plain,
sdtpldt0(sz00,xa) = xa,
inference(superposition,[status(thm)],[c_49,c_63]) ).
tcf(c_946,plain,
sdtpldt0(sz00,xb) = xb,
inference(superposition,[status(thm)],[c_50,c_63]) ).
tcf(c_947,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_63]) ).
tcf(c_948,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_53,c_63]) ).
tcf(c_949,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_56,c_63]) ).
tcf(c_951,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(X0)) = smndt0(X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_63]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_63]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_62]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_61]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_60]) ).
tcf(c_997,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_73]) ).
tcf(c_998,plain,
sdtpldt0(xb,smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_73]) ).
tcf(c_999,plain,
sdtpldt0(xp,smndt0(xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_73]) ).
tcf(c_1000,plain,
sdtpldt0(xq,smndt0(xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_73]) ).
tcf(c_1001,plain,
sdtpldt0(xm,smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_56,c_73]) ).
tcf(c_1002,plain,
sdtpldt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_73]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_73]) ).
tcf(c_1004,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_73]) ).
tcf(c_1031,plain,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(superposition,[status(thm)],[c_49,c_74]) ).
tcf(c_1032,plain,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(superposition,[status(thm)],[c_50,c_74]) ).
tcf(c_1033,plain,
sdtpldt0(smndt0(xp),xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_74]) ).
tcf(c_1034,plain,
sdtpldt0(smndt0(xq),xq) = sz00,
inference(superposition,[status(thm)],[c_53,c_74]) ).
tcf(c_1035,plain,
sdtpldt0(smndt0(xm),xm) = sz00,
inference(superposition,[status(thm)],[c_56,c_74]) ).
tcf(c_1036,plain,
sdtpldt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_74]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_74]) ).
tcf(c_1038,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_74]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_74]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_73]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_63]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_61]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_60]) ).
tcf(c_1105,plain,
( aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_57,c_72]) ).
tcf(c_1106,plain,
( aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1105,c_56]) ).
tcf(c_1115,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xa) = sdtasdt0(xa,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_70]) ).
tcf(c_1116,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xb) = sdtasdt0(xb,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_70]) ).
tcf(c_1117,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_70]) ).
tcf(c_1118,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xq) = sdtasdt0(xq,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_70]) ).
tcf(c_1119,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_70]) ).
tcf(c_1120,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64,c_70]) ).
tcf(c_1121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X2,sdtasdt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_70]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = sdtasdt0(X1,smndt0(X0)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_70]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtasdt0(X2,sdtpldt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_70]) ).
tcf(c_1168,plain,
( aInteger0(smndt0(xb))
| ~ aInteger0(xb) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_1182,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xa) = sdtpldt0(xa,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_76]) ).
tcf(c_1183,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xb) = sdtpldt0(xb,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_76]) ).
tcf(c_1184,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_76]) ).
tcf(c_1185,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_76]) ).
tcf(c_1186,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_76]) ).
tcf(c_1187,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64,c_76]) ).
tcf(c_1188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),X2) = sdtpldt0(X2,sdtasdt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_76]) ).
tcf(c_1189,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(X0),X1) = sdtpldt0(X1,smndt0(X0)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_1190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X2,sdtpldt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_76]) ).
tcf(c_1240,plain,
! [X0: $i] :
( ( xa = sz00 )
| ( X0 = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(X0)
| ( sdtasdt0(xa,X0) != sz00 ) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_1257,plain,
sdtasdt0(smndt0(xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_909]) ).
tcf(c_1258,plain,
sdtasdt0(smndt0(xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_909]) ).
tcf(c_1259,plain,
sdtasdt0(smndt0(xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_909]) ).
tcf(c_1260,plain,
sdtasdt0(smndt0(xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_909]) ).
tcf(c_1261,plain,
sdtasdt0(smndt0(xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_909]) ).
tcf(c_1262,plain,
sdtasdt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_909]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_909]) ).
tcf(c_1264,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_909]) ).
tcf(c_1265,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_909]) ).
tcf(c_1297,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtpldt0(xa,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_57,c_59]) ).
tcf(c_1313,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtpldt0(xa,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1297,c_56]) ).
tcf(c_1341,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xa,X0),X1) = sdtasdt0(xa,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_71]) ).
tcf(c_1342,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xb,X0),X1) = sdtasdt0(xb,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_71]) ).
tcf(c_1343,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),X1) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_71]) ).
tcf(c_1344,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xq,X0),X1) = sdtasdt0(xq,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_71]) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),X1) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_71]) ).
tcf(c_1346,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_71]) ).
tcf(c_1348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(X0),X1),X2) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_71]) ).
tcf(c_1349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_71]) ).
tcf(c_1414,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xa,X0),X1) = sdtpldt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_77]) ).
tcf(c_1415,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xb,X0),X1) = sdtpldt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_77]) ).
tcf(c_1416,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),X1) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_77]) ).
tcf(c_1417,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),X1) = sdtpldt0(xq,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_77]) ).
tcf(c_1418,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_77]) ).
tcf(c_1419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64,c_77]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_77]) ).
tcf(c_1421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_77]) ).
tcf(c_1422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_77]) ).
tcf(c_1484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,X1)) = sdtasdt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_68]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xb,X0),sdtasdt0(xb,X1)) = sdtasdt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_68]) ).
tcf(c_1486,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,X1)) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_68]) ).
tcf(c_1487,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xq,X0),sdtasdt0(xq,X1)) = sdtasdt0(xq,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_68]) ).
tcf(c_1488,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,X1)) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_68]) ).
tcf(c_1489,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64,c_68]) ).
tcf(c_1490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_68]) ).
tcf(c_1491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X1),sdtasdt0(smndt0(X0),X2)) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_68]) ).
tcf(c_1492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_68]) ).
tcf(c_1535,plain,
( aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xb)) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_1575,plain,
sdtasdt0(sz00,smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_923]) ).
tcf(c_1576,plain,
sdtasdt0(sz00,smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_923]) ).
tcf(c_1577,plain,
sdtasdt0(sz00,smndt0(xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_923]) ).
tcf(c_1578,plain,
sdtasdt0(sz00,smndt0(xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_923]) ).
tcf(c_1579,plain,
sdtasdt0(sz00,smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_56,c_923]) ).
tcf(c_1580,plain,
sdtasdt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_923]) ).
tcf(c_1581,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_923]) ).
tcf(c_1582,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_923]) ).
tcf(c_1583,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_923]) ).
tcf(c_1633,plain,
aInteger0(sdtpldt0(xa,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_1106,c_50,c_49,c_1168,c_1535]) ).
tcf(c_1635,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_923]) ).
tcf(c_1636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xb)),X0),sdtasdt0(sdtpldt0(xa,smndt0(xb)),X1)) = sdtasdt0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1633,c_68]) ).
tcf(c_1637,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,smndt0(xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1633,c_77]) ).
tcf(c_1638,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,smndt0(xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1633,c_71]) ).
tcf(c_1639,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1633,c_909]) ).
tcf(c_1640,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,smndt0(xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1633,c_76]) ).
tcf(c_1641,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,smndt0(xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1633,c_70]) ).
tcf(c_1642,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),sdtpldt0(xa,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_74]) ).
tcf(c_1643,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),smndt0(sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_73]) ).
tcf(c_1644,plain,
sdtpldt0(sz00,sdtpldt0(xa,smndt0(xb))) = sdtpldt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_1633,c_63]) ).
tcf(c_1645,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),sz00) = sdtpldt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_1633,c_62]) ).
tcf(c_1646,plain,
sdtasdt0(sz00,sdtpldt0(xa,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_61]) ).
tcf(c_1647,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1633,c_60]) ).
tcf(c_1698,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xa,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_69]) ).
tcf(c_1699,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xb,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xb,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_69]) ).
tcf(c_1700,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xp,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_69]) ).
tcf(c_1701,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xq,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_69]) ).
tcf(c_1702,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xm,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_69]) ).
tcf(c_1703,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64,c_69]) ).
tcf(c_1704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_69]) ).
tcf(c_1705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(smndt0(X0),X1),X2) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_69]) ).
tcf(c_1706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_69]) ).
tcf(c_1707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1633,c_69]) ).
tcf(c_1767,plain,
sdtpldt0(smndt0(xa),sz00) = smndt0(xa),
inference(superposition,[status(thm)],[c_49,c_937]) ).
tcf(c_1768,plain,
sdtpldt0(smndt0(xb),sz00) = smndt0(xb),
inference(superposition,[status(thm)],[c_50,c_937]) ).
tcf(c_1769,plain,
sdtpldt0(smndt0(xp),sz00) = smndt0(xp),
inference(superposition,[status(thm)],[c_51,c_937]) ).
tcf(c_1770,plain,
sdtpldt0(smndt0(xq),sz00) = smndt0(xq),
inference(superposition,[status(thm)],[c_53,c_937]) ).
tcf(c_1771,plain,
sdtpldt0(smndt0(xm),sz00) = smndt0(xm),
inference(superposition,[status(thm)],[c_56,c_937]) ).
tcf(c_1772,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(superposition,[status(thm)],[c_64,c_937]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00) = smndt0(sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_937]) ).
tcf(c_1774,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),sz00) = smndt0(smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_937]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00) = smndt0(sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_937]) ).
tcf(c_1776,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00) = smndt0(sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_937]) ).
tcf(c_1777,plain,
smndt0(sz00) = sz00,
inference(light_normalisation,[status(thm)],[c_1772,c_1036]) ).
tcf(c_1828,plain,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(superposition,[status(thm)],[c_49,c_951]) ).
tcf(c_1829,plain,
sdtpldt0(sz00,smndt0(xb)) = smndt0(xb),
inference(superposition,[status(thm)],[c_50,c_951]) ).
tcf(c_1830,plain,
sdtpldt0(sz00,smndt0(xp)) = smndt0(xp),
inference(superposition,[status(thm)],[c_51,c_951]) ).
tcf(c_1831,plain,
sdtpldt0(sz00,smndt0(xq)) = smndt0(xq),
inference(superposition,[status(thm)],[c_53,c_951]) ).
tcf(c_1832,plain,
sdtpldt0(sz00,smndt0(xm)) = smndt0(xm),
inference(superposition,[status(thm)],[c_56,c_951]) ).
tcf(c_1833,plain,
sdtpldt0(sz00,smndt0(sz00)) = smndt0(sz00),
inference(superposition,[status(thm)],[c_64,c_951]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_951]) ).
tcf(c_1835,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(smndt0(X0))) = smndt0(smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_951]) ).
tcf(c_1836,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_951]) ).
tcf(c_1837,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xb)))) = smndt0(sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_951]) ).
tcf(c_1877,plain,
sdtasdt0(xa,xb) = sdtasdt0(xb,xa),
inference(superposition,[status(thm)],[c_50,c_1115]) ).
tcf(c_1878,plain,
sdtasdt0(xa,xp) = sdtasdt0(xp,xa),
inference(superposition,[status(thm)],[c_51,c_1115]) ).
tcf(c_1879,plain,
sdtasdt0(xa,xq) = sdtasdt0(xq,xa),
inference(superposition,[status(thm)],[c_53,c_1115]) ).
tcf(c_1880,plain,
sdtasdt0(xa,xm) = sdtasdt0(xm,xa),
inference(superposition,[status(thm)],[c_56,c_1115]) ).
tcf(c_1881,plain,
sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa),
inference(superposition,[status(thm)],[c_64,c_1115]) ).
tcf(c_1882,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(xa,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1115]) ).
tcf(c_1883,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),xa) = sdtasdt0(xa,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1115]) ).
tcf(c_1884,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1115]) ).
tcf(c_1885,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1115]) ).
tcf(c_1912,plain,
( ( xb = sz00 )
| ( xa = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(xa)
| ( sdtasdt0(xa,xb) != sz00 ) ),
inference(superposition,[status(thm)],[c_1877,c_59]) ).
tcf(c_1913,plain,
( aInteger0(sdtasdt0(xa,xb))
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_1877,c_72]) ).
tcf(c_1914,plain,
aInteger0(sdtasdt0(xa,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_1913,c_50,c_49]) ).
tcf(c_1915,plain,
( ( xb = sz00 )
| ( xa = sz00 )
| ( sdtasdt0(xa,xb) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1912,c_50,c_49]) ).
tcf(c_1919,plain,
sdtasdt0(sdtasdt0(xa,xb),xa) = sdtasdt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1115]) ).
tcf(c_1920,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,xb))) = smndt0(sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_951]) ).
tcf(c_1921,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),sz00) = smndt0(sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_937]) ).
tcf(c_1922,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1914,c_69]) ).
tcf(c_1923,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_923]) ).
tcf(c_1924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xb),X0),sdtasdt0(sdtasdt0(xa,xb),X1)) = sdtasdt0(sdtasdt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1914,c_68]) ).
tcf(c_1925,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,xb),X0),X1) = sdtpldt0(sdtasdt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1914,c_77]) ).
tcf(c_1926,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,xb),X0),X1) = sdtasdt0(sdtasdt0(xa,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1914,c_71]) ).
tcf(c_1927,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1914,c_909]) ).
tcf(c_1928,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,xb),X0) = sdtpldt0(X0,sdtasdt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1914,c_76]) ).
tcf(c_1929,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,xb),X0) = sdtasdt0(X0,sdtasdt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1914,c_70]) ).
tcf(c_1930,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),sdtasdt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_1914,c_74]) ).
tcf(c_1931,plain,
sdtpldt0(sdtasdt0(xa,xb),smndt0(sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_73]) ).
tcf(c_1932,plain,
sdtpldt0(sz00,sdtasdt0(xa,xb)) = sdtasdt0(xa,xb),
inference(superposition,[status(thm)],[c_1914,c_63]) ).
tcf(c_1933,plain,
sdtpldt0(sdtasdt0(xa,xb),sz00) = sdtasdt0(xa,xb),
inference(superposition,[status(thm)],[c_1914,c_62]) ).
tcf(c_1934,plain,
sdtasdt0(sz00,sdtasdt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_1914,c_61]) ).
tcf(c_1935,plain,
sdtasdt0(sdtasdt0(xa,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_1914,c_60]) ).
tcf(c_1973,plain,
( ( xp = sz00 )
| ( xa = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(xa)
| ( sdtasdt0(xp,xa) != sz00 ) ),
inference(superposition,[status(thm)],[c_1878,c_59]) ).
tcf(c_1974,plain,
( aInteger0(sdtasdt0(xp,xa))
| ~ aInteger0(xp)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_1878,c_72]) ).
tcf(c_1975,plain,
aInteger0(sdtasdt0(xp,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_1974,c_51,c_49]) ).
tcf(c_1976,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xa) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1973,c_52,c_51,c_49]) ).
tcf(c_2012,plain,
sdtasdt0(sdtasdt0(xp,xa),xa) = sdtasdt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1115]) ).
tcf(c_2013,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,xa))) = smndt0(sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_951]) ).
tcf(c_2014,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),sz00) = smndt0(sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_937]) ).
tcf(c_2015,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1975,c_69]) ).
tcf(c_2016,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_923]) ).
tcf(c_2017,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xa),X0),sdtasdt0(sdtasdt0(xp,xa),X1)) = sdtasdt0(sdtasdt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1975,c_68]) ).
tcf(c_2018,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xa),X0),X1) = sdtpldt0(sdtasdt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1975,c_77]) ).
tcf(c_2019,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xa),X0),X1) = sdtasdt0(sdtasdt0(xp,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1975,c_71]) ).
tcf(c_2020,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1975,c_909]) ).
tcf(c_2021,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xa),X0) = sdtpldt0(X0,sdtasdt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1975,c_76]) ).
tcf(c_2022,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xa),X0) = sdtasdt0(X0,sdtasdt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1975,c_70]) ).
tcf(c_2023,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),sdtasdt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_1975,c_74]) ).
tcf(c_2024,plain,
sdtpldt0(sdtasdt0(xp,xa),smndt0(sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_73]) ).
tcf(c_2025,plain,
sdtpldt0(sz00,sdtasdt0(xp,xa)) = sdtasdt0(xp,xa),
inference(superposition,[status(thm)],[c_1975,c_63]) ).
tcf(c_2026,plain,
sdtpldt0(sdtasdt0(xp,xa),sz00) = sdtasdt0(xp,xa),
inference(superposition,[status(thm)],[c_1975,c_62]) ).
tcf(c_2027,plain,
sdtasdt0(sz00,sdtasdt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_1975,c_61]) ).
tcf(c_2028,plain,
sdtasdt0(sdtasdt0(xp,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_1975,c_60]) ).
tcf(c_2089,plain,
( ( sz00 = xq )
| ( xa = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ( sdtasdt0(xq,xa) != sz00 ) ),
inference(superposition,[status(thm)],[c_1879,c_59]) ).
tcf(c_2090,plain,
( aInteger0(sdtasdt0(xq,xa))
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_1879,c_72]) ).
tcf(c_2091,plain,
aInteger0(sdtasdt0(xq,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_2090,c_53,c_49]) ).
tcf(c_2092,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xa) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2089,c_54,c_53,c_49]) ).
tcf(c_2095,plain,
sdtasdt0(sdtasdt0(xq,xa),xa) = sdtasdt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1115]) ).
tcf(c_2096,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,xa))) = smndt0(sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_951]) ).
tcf(c_2097,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),sz00) = smndt0(sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_937]) ).
tcf(c_2098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2091,c_69]) ).
tcf(c_2099,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_923]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xa),X0),sdtasdt0(sdtasdt0(xq,xa),X1)) = sdtasdt0(sdtasdt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2091,c_68]) ).
tcf(c_2101,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,xa),X0),X1) = sdtpldt0(sdtasdt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2091,c_77]) ).
tcf(c_2102,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,xa),X0),X1) = sdtasdt0(sdtasdt0(xq,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2091,c_71]) ).
tcf(c_2103,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2091,c_909]) ).
tcf(c_2104,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,xa),X0) = sdtpldt0(X0,sdtasdt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2091,c_76]) ).
tcf(c_2105,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,xa),X0) = sdtasdt0(X0,sdtasdt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2091,c_70]) ).
tcf(c_2106,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),sdtasdt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_2091,c_74]) ).
tcf(c_2107,plain,
sdtpldt0(sdtasdt0(xq,xa),smndt0(sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_73]) ).
tcf(c_2108,plain,
sdtpldt0(sz00,sdtasdt0(xq,xa)) = sdtasdt0(xq,xa),
inference(superposition,[status(thm)],[c_2091,c_63]) ).
tcf(c_2109,plain,
sdtpldt0(sdtasdt0(xq,xa),sz00) = sdtasdt0(xq,xa),
inference(superposition,[status(thm)],[c_2091,c_62]) ).
tcf(c_2110,plain,
sdtasdt0(sz00,sdtasdt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_2091,c_61]) ).
tcf(c_2111,plain,
sdtasdt0(sdtasdt0(xq,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_2091,c_60]) ).
tcf(c_2164,plain,
( ( sz00 = xm )
| ( xa = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(xa)
| ( sdtasdt0(xa,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_1880,c_59]) ).
tcf(c_2165,plain,
( aInteger0(sdtasdt0(xa,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_1880,c_72]) ).
tcf(c_2166,plain,
aInteger0(sdtasdt0(xa,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_2165,c_56,c_49]) ).
tcf(c_2167,plain,
( ( sz00 = xm )
| ( xa = sz00 )
| ( sdtasdt0(xa,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2164,c_56,c_49]) ).
tcf(c_2171,plain,
sdtasdt0(sdtasdt0(xa,xm),xa) = sdtasdt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1115]) ).
tcf(c_2172,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,xm))) = smndt0(sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_951]) ).
tcf(c_2173,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),sz00) = smndt0(sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_937]) ).
tcf(c_2174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_69]) ).
tcf(c_2175,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_923]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xm),X0),sdtasdt0(sdtasdt0(xa,xm),X1)) = sdtasdt0(sdtasdt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_68]) ).
tcf(c_2177,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,xm),X0),X1) = sdtpldt0(sdtasdt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_77]) ).
tcf(c_2178,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,xm),X0),X1) = sdtasdt0(sdtasdt0(xa,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_71]) ).
tcf(c_2179,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2166,c_909]) ).
tcf(c_2180,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,xm),X0) = sdtpldt0(X0,sdtasdt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_76]) ).
tcf(c_2181,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,xm),X0) = sdtasdt0(X0,sdtasdt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_70]) ).
tcf(c_2182,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),sdtasdt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_2166,c_74]) ).
tcf(c_2183,plain,
sdtpldt0(sdtasdt0(xa,xm),smndt0(sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_73]) ).
tcf(c_2184,plain,
sdtpldt0(sz00,sdtasdt0(xa,xm)) = sdtasdt0(xa,xm),
inference(superposition,[status(thm)],[c_2166,c_63]) ).
tcf(c_2185,plain,
sdtpldt0(sdtasdt0(xa,xm),sz00) = sdtasdt0(xa,xm),
inference(superposition,[status(thm)],[c_2166,c_62]) ).
tcf(c_2186,plain,
sdtasdt0(sz00,sdtasdt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_2166,c_61]) ).
tcf(c_2187,plain,
sdtasdt0(sdtasdt0(xa,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2166,c_60]) ).
tcf(c_2289,plain,
sdtasdt0(xb,xp) = sdtasdt0(xp,xb),
inference(superposition,[status(thm)],[c_51,c_1116]) ).
tcf(c_2290,plain,
sdtasdt0(xb,xq) = sdtasdt0(xq,xb),
inference(superposition,[status(thm)],[c_53,c_1116]) ).
tcf(c_2291,plain,
sdtasdt0(xb,xm) = sdtasdt0(xm,xb),
inference(superposition,[status(thm)],[c_56,c_1116]) ).
tcf(c_2292,plain,
sdtasdt0(xb,sz00) = sdtasdt0(sz00,xb),
inference(superposition,[status(thm)],[c_64,c_1116]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xb) = sdtasdt0(xb,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1116]) ).
tcf(c_2294,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),xb) = sdtasdt0(xb,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1116]) ).
tcf(c_2295,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xb) = sdtasdt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1116]) ).
tcf(c_2296,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1116]) ).
tcf(c_2297,plain,
sdtasdt0(sdtasdt0(xp,xa),xb) = sdtasdt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1116]) ).
tcf(c_2298,plain,
sdtasdt0(sdtasdt0(xa,xb),xb) = sdtasdt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1116]) ).
tcf(c_2299,plain,
sdtasdt0(sdtasdt0(xq,xa),xb) = sdtasdt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1116]) ).
tcf(c_2300,plain,
sdtasdt0(sdtasdt0(xa,xm),xb) = sdtasdt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1116]) ).
tcf(c_2313,plain,
( ( xp = sz00 )
| ( xb = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(xb)
| ( sdtasdt0(xp,xb) != sz00 ) ),
inference(superposition,[status(thm)],[c_2289,c_59]) ).
tcf(c_2314,plain,
( aInteger0(sdtasdt0(xp,xb))
| ~ aInteger0(xp)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_2289,c_72]) ).
tcf(c_2315,plain,
aInteger0(sdtasdt0(xp,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_2314,c_51,c_50]) ).
tcf(c_2316,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xb) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2313,c_52,c_51,c_50]) ).
tcf(c_2326,plain,
sdtasdt0(sdtasdt0(xp,xb),xb) = sdtasdt0(xb,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1116]) ).
tcf(c_2327,plain,
sdtasdt0(sdtasdt0(xp,xb),xa) = sdtasdt0(xa,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1115]) ).
tcf(c_2328,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,xb))) = smndt0(sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_951]) ).
tcf(c_2329,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),sz00) = smndt0(sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_937]) ).
tcf(c_2330,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2315,c_69]) ).
tcf(c_2331,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_923]) ).
tcf(c_2332,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xb),X0),sdtasdt0(sdtasdt0(xp,xb),X1)) = sdtasdt0(sdtasdt0(xp,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2315,c_68]) ).
tcf(c_2333,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xb),X0),X1) = sdtpldt0(sdtasdt0(xp,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2315,c_77]) ).
tcf(c_2334,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xb),X0),X1) = sdtasdt0(sdtasdt0(xp,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2315,c_71]) ).
tcf(c_2335,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2315,c_909]) ).
tcf(c_2336,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xb),X0) = sdtpldt0(X0,sdtasdt0(xp,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2315,c_76]) ).
tcf(c_2337,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xb),X0) = sdtasdt0(X0,sdtasdt0(xp,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2315,c_70]) ).
tcf(c_2338,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),sdtasdt0(xp,xb)) = sz00,
inference(superposition,[status(thm)],[c_2315,c_74]) ).
tcf(c_2339,plain,
sdtpldt0(sdtasdt0(xp,xb),smndt0(sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_73]) ).
tcf(c_2340,plain,
sdtpldt0(sz00,sdtasdt0(xp,xb)) = sdtasdt0(xp,xb),
inference(superposition,[status(thm)],[c_2315,c_63]) ).
tcf(c_2341,plain,
sdtpldt0(sdtasdt0(xp,xb),sz00) = sdtasdt0(xp,xb),
inference(superposition,[status(thm)],[c_2315,c_62]) ).
tcf(c_2342,plain,
sdtasdt0(sz00,sdtasdt0(xp,xb)) = sz00,
inference(superposition,[status(thm)],[c_2315,c_61]) ).
tcf(c_2343,plain,
sdtasdt0(sdtasdt0(xp,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_2315,c_60]) ).
tcf(c_2418,plain,
( ( sz00 = xq )
| ( xb = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| ( sdtasdt0(xq,xb) != sz00 ) ),
inference(superposition,[status(thm)],[c_2290,c_59]) ).
tcf(c_2419,plain,
( aInteger0(sdtasdt0(xq,xb))
| ~ aInteger0(xq)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_2290,c_72]) ).
tcf(c_2420,plain,
aInteger0(sdtasdt0(xq,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_2419,c_53,c_50]) ).
tcf(c_2421,plain,
( ( xb = sz00 )
| ( sdtasdt0(xq,xb) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2418,c_54,c_53,c_50]) ).
tcf(c_2424,plain,
sdtasdt0(sdtasdt0(xq,xb),xb) = sdtasdt0(xb,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1116]) ).
tcf(c_2425,plain,
sdtasdt0(sdtasdt0(xq,xb),xa) = sdtasdt0(xa,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1115]) ).
tcf(c_2426,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,xb))) = smndt0(sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_951]) ).
tcf(c_2427,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),sz00) = smndt0(sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_937]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2420,c_69]) ).
tcf(c_2429,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_923]) ).
tcf(c_2430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xb),X0),sdtasdt0(sdtasdt0(xq,xb),X1)) = sdtasdt0(sdtasdt0(xq,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2420,c_68]) ).
tcf(c_2431,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,xb),X0),X1) = sdtpldt0(sdtasdt0(xq,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2420,c_77]) ).
tcf(c_2432,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,xb),X0),X1) = sdtasdt0(sdtasdt0(xq,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2420,c_71]) ).
tcf(c_2433,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2420,c_909]) ).
tcf(c_2434,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,xb),X0) = sdtpldt0(X0,sdtasdt0(xq,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2420,c_76]) ).
tcf(c_2435,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,xb),X0) = sdtasdt0(X0,sdtasdt0(xq,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2420,c_70]) ).
tcf(c_2436,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),sdtasdt0(xq,xb)) = sz00,
inference(superposition,[status(thm)],[c_2420,c_74]) ).
tcf(c_2437,plain,
sdtpldt0(sdtasdt0(xq,xb),smndt0(sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_73]) ).
tcf(c_2438,plain,
sdtpldt0(sz00,sdtasdt0(xq,xb)) = sdtasdt0(xq,xb),
inference(superposition,[status(thm)],[c_2420,c_63]) ).
tcf(c_2439,plain,
sdtpldt0(sdtasdt0(xq,xb),sz00) = sdtasdt0(xq,xb),
inference(superposition,[status(thm)],[c_2420,c_62]) ).
tcf(c_2440,plain,
sdtasdt0(sz00,sdtasdt0(xq,xb)) = sz00,
inference(superposition,[status(thm)],[c_2420,c_61]) ).
tcf(c_2441,plain,
sdtasdt0(sdtasdt0(xq,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_2420,c_60]) ).
tcf(c_2482,plain,
( ( sz00 = xm )
| ( xb = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(xb)
| ( sdtasdt0(xb,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2291,c_59]) ).
tcf(c_2483,plain,
( aInteger0(sdtasdt0(xb,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_2291,c_72]) ).
tcf(c_2484,plain,
aInteger0(sdtasdt0(xb,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_2483,c_56,c_50]) ).
tcf(c_2485,plain,
( ( sz00 = xm )
| ( xb = sz00 )
| ( sdtasdt0(xb,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2482,c_56,c_50]) ).
tcf(c_2527,plain,
sdtasdt0(sdtasdt0(xb,xm),xb) = sdtasdt0(xb,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1116]) ).
tcf(c_2528,plain,
sdtasdt0(sdtasdt0(xb,xm),xa) = sdtasdt0(xa,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1115]) ).
tcf(c_2529,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,xm))) = smndt0(sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_951]) ).
tcf(c_2530,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),sz00) = smndt0(sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_937]) ).
tcf(c_2531,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2484,c_69]) ).
tcf(c_2532,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_923]) ).
tcf(c_2533,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,xm),X0),sdtasdt0(sdtasdt0(xb,xm),X1)) = sdtasdt0(sdtasdt0(xb,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2484,c_68]) ).
tcf(c_2534,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,xm),X0),X1) = sdtpldt0(sdtasdt0(xb,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2484,c_77]) ).
tcf(c_2535,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,xm),X0),X1) = sdtasdt0(sdtasdt0(xb,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2484,c_71]) ).
tcf(c_2536,plain,
sdtasdt0(smndt0(sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2484,c_909]) ).
tcf(c_2537,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,xm),X0) = sdtpldt0(X0,sdtasdt0(xb,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2484,c_76]) ).
tcf(c_2538,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,xm),X0) = sdtasdt0(X0,sdtasdt0(xb,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2484,c_70]) ).
tcf(c_2539,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),sdtasdt0(xb,xm)) = sz00,
inference(superposition,[status(thm)],[c_2484,c_74]) ).
tcf(c_2540,plain,
sdtpldt0(sdtasdt0(xb,xm),smndt0(sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_73]) ).
tcf(c_2541,plain,
sdtpldt0(sz00,sdtasdt0(xb,xm)) = sdtasdt0(xb,xm),
inference(superposition,[status(thm)],[c_2484,c_63]) ).
tcf(c_2542,plain,
sdtpldt0(sdtasdt0(xb,xm),sz00) = sdtasdt0(xb,xm),
inference(superposition,[status(thm)],[c_2484,c_62]) ).
tcf(c_2543,plain,
sdtasdt0(sz00,sdtasdt0(xb,xm)) = sz00,
inference(superposition,[status(thm)],[c_2484,c_61]) ).
tcf(c_2544,plain,
sdtasdt0(sdtasdt0(xb,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2484,c_60]) ).
tcf(c_2619,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(superposition,[status(thm)],[c_53,c_1117]) ).
tcf(c_2620,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_56,c_1117]) ).
tcf(c_2621,plain,
sdtasdt0(xp,sz00) = sdtasdt0(sz00,xp),
inference(superposition,[status(thm)],[c_64,c_1117]) ).
tcf(c_2622,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1117]) ).
tcf(c_2623,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),xp) = sdtasdt0(xp,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1117]) ).
tcf(c_2624,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1117]) ).
tcf(c_2625,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),xp) = sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1117]) ).
tcf(c_2626,plain,
sdtasdt0(sdtasdt0(xp,xa),xp) = sdtasdt0(xp,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1117]) ).
tcf(c_2627,plain,
sdtasdt0(sdtasdt0(xa,xb),xp) = sdtasdt0(xp,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1117]) ).
tcf(c_2628,plain,
sdtasdt0(sdtasdt0(xq,xa),xp) = sdtasdt0(xp,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1117]) ).
tcf(c_2629,plain,
sdtasdt0(sdtasdt0(xa,xm),xp) = sdtasdt0(xp,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1117]) ).
tcf(c_2630,plain,
sdtasdt0(sdtasdt0(xp,xb),xp) = sdtasdt0(xp,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1117]) ).
tcf(c_2631,plain,
sdtasdt0(sdtasdt0(xq,xb),xp) = sdtasdt0(xp,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1117]) ).
tcf(c_2632,plain,
sdtasdt0(sdtasdt0(xb,xm),xp) = sdtasdt0(xp,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1117]) ).
tcf(c_2659,plain,
( ( sz00 = xq )
| ( xp = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(xp)
| ( sdtasdt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_2619,c_59]) ).
tcf(c_2660,plain,
( aInteger0(sdtasdt0(xp,xq))
| ~ aInteger0(xq)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_2619,c_72]) ).
tcf(c_2661,plain,
aInteger0(sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_2660,c_53,c_51]) ).
tcf(c_2662,plain,
sdtasdt0(xp,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_2659,c_54,c_52,c_53,c_51]) ).
tcf(c_2663,plain,
sdtasdt0(sdtasdt0(xp,xq),xp) = sdtasdt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1117]) ).
tcf(c_2664,plain,
sdtasdt0(sdtasdt0(xp,xq),xb) = sdtasdt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1116]) ).
tcf(c_2665,plain,
sdtasdt0(sdtasdt0(xp,xq),xa) = sdtasdt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1115]) ).
tcf(c_2666,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,xq))) = smndt0(sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_951]) ).
tcf(c_2667,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),sz00) = smndt0(sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_937]) ).
tcf(c_2668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xq),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2661,c_69]) ).
tcf(c_2669,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_923]) ).
tcf(c_2670,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),X0),sdtasdt0(sdtasdt0(xp,xq),X1)) = sdtasdt0(sdtasdt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2661,c_68]) ).
tcf(c_2671,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xq),X0),X1) = sdtpldt0(sdtasdt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2661,c_77]) ).
tcf(c_2672,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xq),X0),X1) = sdtasdt0(sdtasdt0(xp,xq),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2661,c_71]) ).
tcf(c_2673,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2661,c_909]) ).
tcf(c_2674,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xq),X0) = sdtpldt0(X0,sdtasdt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2661,c_76]) ).
tcf(c_2675,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(X0,sdtasdt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2661,c_70]) ).
tcf(c_2676,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),sdtasdt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_2661,c_74]) ).
tcf(c_2677,plain,
sdtpldt0(sdtasdt0(xp,xq),smndt0(sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_73]) ).
tcf(c_2678,plain,
sdtpldt0(sz00,sdtasdt0(xp,xq)) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_2661,c_63]) ).
tcf(c_2679,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_2661,c_62]) ).
tcf(c_2680,plain,
sdtasdt0(sz00,sdtasdt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_2661,c_61]) ).
tcf(c_2681,plain,
sdtasdt0(sdtasdt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_2661,c_60]) ).
tcf(c_2751,plain,
( ( sz00 = xm )
| ( xp = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(xp)
| ( sdtasdt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2620,c_59]) ).
tcf(c_2752,plain,
( aInteger0(sdtasdt0(xp,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_2620,c_72]) ).
tcf(c_2753,plain,
aInteger0(sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_2752,c_56,c_51]) ).
tcf(c_2754,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2751,c_52,c_56,c_51]) ).
tcf(c_2757,plain,
sdtasdt0(sdtasdt0(xp,xm),xp) = sdtasdt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1117]) ).
tcf(c_2758,plain,
sdtasdt0(sdtasdt0(xp,xm),xb) = sdtasdt0(xb,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1116]) ).
tcf(c_2759,plain,
sdtasdt0(sdtasdt0(xp,xm),xa) = sdtasdt0(xa,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1115]) ).
tcf(c_2760,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,xm))) = smndt0(sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_951]) ).
tcf(c_2761,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),sz00) = smndt0(sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_937]) ).
tcf(c_2762,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2753,c_69]) ).
tcf(c_2763,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_923]) ).
tcf(c_2764,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtasdt0(sdtasdt0(xp,xm),X1)) = sdtasdt0(sdtasdt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2753,c_68]) ).
tcf(c_2765,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xm),X0),X1) = sdtpldt0(sdtasdt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2753,c_77]) ).
tcf(c_2766,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X0),X1) = sdtasdt0(sdtasdt0(xp,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2753,c_71]) ).
tcf(c_2767,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2753,c_909]) ).
tcf(c_2768,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(X0,sdtasdt0(xp,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2753,c_76]) ).
tcf(c_2769,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xm),X0) = sdtasdt0(X0,sdtasdt0(xp,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2753,c_70]) ).
tcf(c_2770,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),sdtasdt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_2753,c_74]) ).
tcf(c_2771,plain,
sdtpldt0(sdtasdt0(xp,xm),smndt0(sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_73]) ).
tcf(c_2772,plain,
sdtpldt0(sz00,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_2753,c_63]) ).
tcf(c_2773,plain,
sdtpldt0(sdtasdt0(xp,xm),sz00) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_2753,c_62]) ).
tcf(c_2774,plain,
sdtasdt0(sz00,sdtasdt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_2753,c_61]) ).
tcf(c_2775,plain,
sdtasdt0(sdtasdt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2753,c_60]) ).
tcf(c_2848,plain,
sdtasdt0(xq,xm) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_56,c_1118]) ).
tcf(c_2849,plain,
sdtasdt0(sz00,xq) = sdtasdt0(xq,sz00),
inference(superposition,[status(thm)],[c_64,c_1118]) ).
tcf(c_2850,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(xq,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1118]) ).
tcf(c_2851,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),xq) = sdtasdt0(xq,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1118]) ).
tcf(c_2852,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xq) = sdtasdt0(xq,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1118]) ).
tcf(c_2853,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),xq) = sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1118]) ).
tcf(c_2854,plain,
sdtasdt0(sdtasdt0(xp,xq),xq) = sdtasdt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1118]) ).
tcf(c_2855,plain,
sdtasdt0(sdtasdt0(xp,xa),xq) = sdtasdt0(xq,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1118]) ).
tcf(c_2856,plain,
sdtasdt0(sdtasdt0(xa,xb),xq) = sdtasdt0(xq,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1118]) ).
tcf(c_2857,plain,
sdtasdt0(sdtasdt0(xq,xa),xq) = sdtasdt0(xq,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1118]) ).
tcf(c_2858,plain,
sdtasdt0(sdtasdt0(xa,xm),xq) = sdtasdt0(xq,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1118]) ).
tcf(c_2859,plain,
sdtasdt0(sdtasdt0(xp,xb),xq) = sdtasdt0(xq,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1118]) ).
tcf(c_2860,plain,
sdtasdt0(sdtasdt0(xq,xb),xq) = sdtasdt0(xq,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1118]) ).
tcf(c_2861,plain,
sdtasdt0(sdtasdt0(xb,xm),xq) = sdtasdt0(xq,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1118]) ).
tcf(c_2862,plain,
sdtasdt0(sdtasdt0(xp,xm),xq) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1118]) ).
tcf(c_2916,plain,
( ( sz00 = xm )
| ( sz00 = xq )
| ~ aInteger0(xm)
| ~ aInteger0(xq)
| ( sdtasdt0(xq,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2848,c_59]) ).
tcf(c_2917,plain,
( aInteger0(sdtasdt0(xq,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_2848,c_72]) ).
tcf(c_2918,plain,
aInteger0(sdtasdt0(xq,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_2917,c_56,c_53]) ).
tcf(c_2919,plain,
( ( sz00 = xm )
| ( sdtasdt0(xq,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2916,c_54,c_56,c_53]) ).
tcf(c_2922,plain,
sdtasdt0(sdtasdt0(xq,xm),xq) = sdtasdt0(xq,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1118]) ).
tcf(c_2923,plain,
sdtasdt0(sdtasdt0(xq,xm),xp) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1117]) ).
tcf(c_2924,plain,
sdtasdt0(sdtasdt0(xq,xm),xb) = sdtasdt0(xb,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1116]) ).
tcf(c_2925,plain,
sdtasdt0(sdtasdt0(xq,xm),xa) = sdtasdt0(xa,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1115]) ).
tcf(c_2926,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,xm))) = smndt0(sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_951]) ).
tcf(c_2927,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),sz00) = smndt0(sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_937]) ).
tcf(c_2928,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_69]) ).
tcf(c_2929,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_923]) ).
tcf(c_2930,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xm),X0),sdtasdt0(sdtasdt0(xq,xm),X1)) = sdtasdt0(sdtasdt0(xq,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_68]) ).
tcf(c_2931,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,xm),X0),X1) = sdtpldt0(sdtasdt0(xq,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_77]) ).
tcf(c_2932,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,xm),X0),X1) = sdtasdt0(sdtasdt0(xq,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_71]) ).
tcf(c_2933,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2918,c_909]) ).
tcf(c_2934,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,xm),X0) = sdtpldt0(X0,sdtasdt0(xq,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_76]) ).
tcf(c_2935,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,xm),X0) = sdtasdt0(X0,sdtasdt0(xq,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_70]) ).
tcf(c_2936,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm)) = sz00,
inference(superposition,[status(thm)],[c_2918,c_74]) ).
tcf(c_2937,plain,
sdtpldt0(sdtasdt0(xq,xm),smndt0(sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_73]) ).
tcf(c_2938,plain,
sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm),
inference(superposition,[status(thm)],[c_2918,c_63]) ).
tcf(c_2939,plain,
sdtpldt0(sdtasdt0(xq,xm),sz00) = sdtasdt0(xq,xm),
inference(superposition,[status(thm)],[c_2918,c_62]) ).
tcf(c_2940,plain,
sdtasdt0(sz00,sdtasdt0(xq,xm)) = sz00,
inference(superposition,[status(thm)],[c_2918,c_61]) ).
tcf(c_2941,plain,
sdtasdt0(sdtasdt0(xq,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2918,c_60]) ).
tcf(c_3078,plain,
sdtasdt0(sz00,xm) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_64,c_1119]) ).
tcf(c_3079,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1119]) ).
tcf(c_3080,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),xm) = sdtasdt0(xm,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1119]) ).
tcf(c_3081,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1119]) ).
tcf(c_3082,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),xm) = sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1119]) ).
tcf(c_3083,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1119]) ).
tcf(c_3084,plain,
sdtasdt0(sdtasdt0(xp,xa),xm) = sdtasdt0(xm,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1119]) ).
tcf(c_3085,plain,
sdtasdt0(sdtasdt0(xa,xb),xm) = sdtasdt0(xm,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1119]) ).
tcf(c_3086,plain,
sdtasdt0(sdtasdt0(xq,xa),xm) = sdtasdt0(xm,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1119]) ).
tcf(c_3087,plain,
sdtasdt0(sdtasdt0(xa,xm),xm) = sdtasdt0(xm,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1119]) ).
tcf(c_3088,plain,
sdtasdt0(sdtasdt0(xp,xb),xm) = sdtasdt0(xm,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1119]) ).
tcf(c_3089,plain,
sdtasdt0(sdtasdt0(xq,xb),xm) = sdtasdt0(xm,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1119]) ).
tcf(c_3090,plain,
sdtasdt0(sdtasdt0(xb,xm),xm) = sdtasdt0(xm,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1119]) ).
tcf(c_3091,plain,
sdtasdt0(sdtasdt0(xp,xm),xm) = sdtasdt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1119]) ).
tcf(c_3092,plain,
sdtasdt0(sdtasdt0(xq,xm),xm) = sdtasdt0(xm,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1119]) ).
tcf(c_3094,plain,
sdtasdt0(xm,sdtasdt0(xp,xq)) = sdtpldt0(xa,smndt0(xb)),
inference(light_normalisation,[status(thm)],[c_3083,c_57]) ).
tcf(c_3123,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1120]) ).
tcf(c_3124,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1120]) ).
tcf(c_3125,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1120]) ).
tcf(c_3126,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1120]) ).
tcf(c_3127,plain,
sdtasdt0(sdtasdt0(xp,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1120]) ).
tcf(c_3128,plain,
sdtasdt0(sdtasdt0(xp,xa),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1120]) ).
tcf(c_3129,plain,
sdtasdt0(sdtasdt0(xa,xb),sz00) = sdtasdt0(sz00,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1120]) ).
tcf(c_3130,plain,
sdtasdt0(sdtasdt0(xq,xa),sz00) = sdtasdt0(sz00,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1120]) ).
tcf(c_3131,plain,
sdtasdt0(sdtasdt0(xa,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1120]) ).
tcf(c_3132,plain,
sdtasdt0(sdtasdt0(xp,xb),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1120]) ).
tcf(c_3133,plain,
sdtasdt0(sdtasdt0(xq,xb),sz00) = sdtasdt0(sz00,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1120]) ).
tcf(c_3134,plain,
sdtasdt0(sdtasdt0(xb,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1120]) ).
tcf(c_3135,plain,
sdtasdt0(sdtasdt0(xp,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1120]) ).
tcf(c_3136,plain,
sdtasdt0(sdtasdt0(xq,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1120]) ).
tcf(c_3172,plain,
sdtpldt0(xa,xb) = sdtpldt0(xb,xa),
inference(superposition,[status(thm)],[c_50,c_1182]) ).
tcf(c_3173,plain,
sdtpldt0(xa,xp) = sdtpldt0(xp,xa),
inference(superposition,[status(thm)],[c_51,c_1182]) ).
tcf(c_3174,plain,
sdtpldt0(xa,xq) = sdtpldt0(xq,xa),
inference(superposition,[status(thm)],[c_53,c_1182]) ).
tcf(c_3175,plain,
sdtpldt0(xa,xm) = sdtpldt0(xm,xa),
inference(superposition,[status(thm)],[c_56,c_1182]) ).
tcf(c_3176,plain,
sdtpldt0(xa,sz00) = sdtpldt0(sz00,xa),
inference(superposition,[status(thm)],[c_64,c_1182]) ).
tcf(c_3177,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(xa,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1182]) ).
tcf(c_3178,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xa) = sdtpldt0(xa,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1182]) ).
tcf(c_3179,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1182]) ).
tcf(c_3180,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1182]) ).
tcf(c_3181,plain,
sdtpldt0(sdtasdt0(xp,xq),xa) = sdtpldt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1182]) ).
tcf(c_3182,plain,
sdtpldt0(sdtasdt0(xp,xa),xa) = sdtpldt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1182]) ).
tcf(c_3183,plain,
sdtpldt0(sdtasdt0(xa,xb),xa) = sdtpldt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1182]) ).
tcf(c_3184,plain,
sdtpldt0(sdtasdt0(xq,xa),xa) = sdtpldt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1182]) ).
tcf(c_3185,plain,
sdtpldt0(sdtasdt0(xa,xm),xa) = sdtpldt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1182]) ).
tcf(c_3186,plain,
sdtpldt0(sdtasdt0(xp,xb),xa) = sdtpldt0(xa,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1182]) ).
tcf(c_3187,plain,
sdtpldt0(sdtasdt0(xq,xb),xa) = sdtpldt0(xa,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1182]) ).
tcf(c_3188,plain,
sdtpldt0(sdtasdt0(xb,xm),xa) = sdtpldt0(xa,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1182]) ).
tcf(c_3189,plain,
sdtpldt0(sdtasdt0(xp,xm),xa) = sdtpldt0(xa,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1182]) ).
tcf(c_3190,plain,
sdtpldt0(sdtasdt0(xq,xm),xa) = sdtpldt0(xa,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1182]) ).
tcf(c_3218,plain,
( aInteger0(sdtpldt0(xa,xb))
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3172,c_78]) ).
tcf(c_3219,plain,
aInteger0(sdtpldt0(xa,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_3218,c_50,c_49]) ).
tcf(c_3220,plain,
sdtpldt0(sdtpldt0(xa,xb),xa) = sdtpldt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1182]) ).
tcf(c_3221,plain,
sdtasdt0(sdtpldt0(xa,xb),sz00) = sdtasdt0(sz00,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1120]) ).
tcf(c_3222,plain,
sdtasdt0(sdtpldt0(xa,xb),xm) = sdtasdt0(xm,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1119]) ).
tcf(c_3223,plain,
sdtasdt0(sdtpldt0(xa,xb),xq) = sdtasdt0(xq,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1118]) ).
tcf(c_3224,plain,
sdtasdt0(sdtpldt0(xa,xb),xp) = sdtasdt0(xp,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1117]) ).
tcf(c_3225,plain,
sdtasdt0(sdtpldt0(xa,xb),xb) = sdtasdt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1116]) ).
tcf(c_3226,plain,
sdtasdt0(sdtpldt0(xa,xb),xa) = sdtasdt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1115]) ).
tcf(c_3227,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,xb))) = smndt0(sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_951]) ).
tcf(c_3228,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),sz00) = smndt0(sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_937]) ).
tcf(c_3229,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3219,c_69]) ).
tcf(c_3230,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_923]) ).
tcf(c_3231,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xb),X0),sdtasdt0(sdtpldt0(xa,xb),X1)) = sdtasdt0(sdtpldt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3219,c_68]) ).
tcf(c_3232,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,xb),X0),X1) = sdtpldt0(sdtpldt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3219,c_77]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,xb),X0),X1) = sdtasdt0(sdtpldt0(xa,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3219,c_71]) ).
tcf(c_3234,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3219,c_909]) ).
tcf(c_3235,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,xb),X0) = sdtpldt0(X0,sdtpldt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3219,c_76]) ).
tcf(c_3236,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,xb),X0) = sdtasdt0(X0,sdtpldt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3219,c_70]) ).
tcf(c_3237,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),sdtpldt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_3219,c_74]) ).
tcf(c_3238,plain,
sdtpldt0(sdtpldt0(xa,xb),smndt0(sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_73]) ).
tcf(c_3239,plain,
sdtpldt0(sz00,sdtpldt0(xa,xb)) = sdtpldt0(xa,xb),
inference(superposition,[status(thm)],[c_3219,c_63]) ).
tcf(c_3240,plain,
sdtpldt0(sdtpldt0(xa,xb),sz00) = sdtpldt0(xa,xb),
inference(superposition,[status(thm)],[c_3219,c_62]) ).
tcf(c_3241,plain,
sdtasdt0(sz00,sdtpldt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_3219,c_61]) ).
tcf(c_3242,plain,
sdtasdt0(sdtpldt0(xa,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_3219,c_60]) ).
tcf(c_3276,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xa) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xa))
| ( sdtasdt0(xa,sdtasdt0(xq,xa)) != sz00 ) ),
inference(instantiation,[status(thm)],[c_1240]) ).
tcf(c_3338,plain,
( aInteger0(sdtpldt0(xp,xa))
| ~ aInteger0(xp)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3173,c_78]) ).
tcf(c_3339,plain,
aInteger0(sdtpldt0(xp,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_3338,c_51,c_49]) ).
tcf(c_3340,plain,
sdtpldt0(sdtpldt0(xp,xa),xa) = sdtpldt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1182]) ).
tcf(c_3341,plain,
sdtasdt0(sdtpldt0(xp,xa),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1120]) ).
tcf(c_3342,plain,
sdtasdt0(sdtpldt0(xp,xa),xm) = sdtasdt0(xm,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1119]) ).
tcf(c_3343,plain,
sdtasdt0(sdtpldt0(xp,xa),xq) = sdtasdt0(xq,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1118]) ).
tcf(c_3344,plain,
sdtasdt0(sdtpldt0(xp,xa),xp) = sdtasdt0(xp,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1117]) ).
tcf(c_3345,plain,
sdtasdt0(sdtpldt0(xp,xa),xb) = sdtasdt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1116]) ).
tcf(c_3346,plain,
sdtasdt0(sdtpldt0(xp,xa),xa) = sdtasdt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1115]) ).
tcf(c_3347,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xa))) = smndt0(sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_951]) ).
tcf(c_3348,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),sz00) = smndt0(sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_937]) ).
tcf(c_3349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3339,c_69]) ).
tcf(c_3350,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_923]) ).
tcf(c_3351,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xa),X0),sdtasdt0(sdtpldt0(xp,xa),X1)) = sdtasdt0(sdtpldt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3339,c_68]) ).
tcf(c_3352,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xa),X0),X1) = sdtpldt0(sdtpldt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3339,c_77]) ).
tcf(c_3353,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xa),X0),X1) = sdtasdt0(sdtpldt0(xp,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3339,c_71]) ).
tcf(c_3354,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3339,c_909]) ).
tcf(c_3355,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xa),X0) = sdtpldt0(X0,sdtpldt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3339,c_76]) ).
tcf(c_3356,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xa),X0) = sdtasdt0(X0,sdtpldt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3339,c_70]) ).
tcf(c_3357,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),sdtpldt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_3339,c_74]) ).
tcf(c_3358,plain,
sdtpldt0(sdtpldt0(xp,xa),smndt0(sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_73]) ).
tcf(c_3359,plain,
sdtpldt0(sz00,sdtpldt0(xp,xa)) = sdtpldt0(xp,xa),
inference(superposition,[status(thm)],[c_3339,c_63]) ).
tcf(c_3360,plain,
sdtpldt0(sdtpldt0(xp,xa),sz00) = sdtpldt0(xp,xa),
inference(superposition,[status(thm)],[c_3339,c_62]) ).
tcf(c_3361,plain,
sdtasdt0(sz00,sdtpldt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_3339,c_61]) ).
tcf(c_3362,plain,
sdtasdt0(sdtpldt0(xp,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_3339,c_60]) ).
tcf(c_3447,plain,
( aInteger0(sdtpldt0(xq,xa))
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3174,c_78]) ).
tcf(c_3448,plain,
aInteger0(sdtpldt0(xq,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_3447,c_53,c_49]) ).
tcf(c_3449,plain,
sdtpldt0(sdtpldt0(xq,xa),xa) = sdtpldt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1182]) ).
tcf(c_3450,plain,
sdtasdt0(sdtpldt0(xq,xa),sz00) = sdtasdt0(sz00,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1120]) ).
tcf(c_3451,plain,
sdtasdt0(sdtpldt0(xq,xa),xm) = sdtasdt0(xm,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1119]) ).
tcf(c_3452,plain,
sdtasdt0(sdtpldt0(xq,xa),xq) = sdtasdt0(xq,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1118]) ).
tcf(c_3453,plain,
sdtasdt0(sdtpldt0(xq,xa),xp) = sdtasdt0(xp,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1117]) ).
tcf(c_3454,plain,
sdtasdt0(sdtpldt0(xq,xa),xb) = sdtasdt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1116]) ).
tcf(c_3455,plain,
sdtasdt0(sdtpldt0(xq,xa),xa) = sdtasdt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1115]) ).
tcf(c_3456,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,xa))) = smndt0(sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_951]) ).
tcf(c_3457,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),sz00) = smndt0(sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_937]) ).
tcf(c_3458,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3448,c_69]) ).
tcf(c_3459,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_923]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xa),X0),sdtasdt0(sdtpldt0(xq,xa),X1)) = sdtasdt0(sdtpldt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3448,c_68]) ).
tcf(c_3461,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,xa),X0),X1) = sdtpldt0(sdtpldt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3448,c_77]) ).
tcf(c_3462,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,xa),X0),X1) = sdtasdt0(sdtpldt0(xq,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3448,c_71]) ).
tcf(c_3463,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3448,c_909]) ).
tcf(c_3464,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xa),X0) = sdtpldt0(X0,sdtpldt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3448,c_76]) ).
tcf(c_3465,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xa),X0) = sdtasdt0(X0,sdtpldt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3448,c_70]) ).
tcf(c_3466,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),sdtpldt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_3448,c_74]) ).
tcf(c_3467,plain,
sdtpldt0(sdtpldt0(xq,xa),smndt0(sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_73]) ).
tcf(c_3468,plain,
sdtpldt0(sz00,sdtpldt0(xq,xa)) = sdtpldt0(xq,xa),
inference(superposition,[status(thm)],[c_3448,c_63]) ).
tcf(c_3469,plain,
sdtpldt0(sdtpldt0(xq,xa),sz00) = sdtpldt0(xq,xa),
inference(superposition,[status(thm)],[c_3448,c_62]) ).
tcf(c_3470,plain,
sdtasdt0(sz00,sdtpldt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_3448,c_61]) ).
tcf(c_3471,plain,
sdtasdt0(sdtpldt0(xq,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_3448,c_60]) ).
tcf(c_3507,plain,
( aInteger0(sdtpldt0(xa,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3175,c_78]) ).
tcf(c_3508,plain,
aInteger0(sdtpldt0(xa,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_3507,c_56,c_49]) ).
tcf(c_3509,plain,
sdtpldt0(sdtpldt0(xa,xm),xa) = sdtpldt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1182]) ).
tcf(c_3510,plain,
sdtasdt0(sdtpldt0(xa,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1120]) ).
tcf(c_3511,plain,
sdtasdt0(sdtpldt0(xa,xm),xm) = sdtasdt0(xm,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1119]) ).
tcf(c_3512,plain,
sdtasdt0(sdtpldt0(xa,xm),xq) = sdtasdt0(xq,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1118]) ).
tcf(c_3513,plain,
sdtasdt0(sdtpldt0(xa,xm),xp) = sdtasdt0(xp,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1117]) ).
tcf(c_3514,plain,
sdtasdt0(sdtpldt0(xa,xm),xb) = sdtasdt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1116]) ).
tcf(c_3515,plain,
sdtasdt0(sdtpldt0(xa,xm),xa) = sdtasdt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1115]) ).
tcf(c_3516,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,xm))) = smndt0(sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_951]) ).
tcf(c_3517,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),sz00) = smndt0(sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_937]) ).
tcf(c_3518,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3508,c_69]) ).
tcf(c_3519,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_923]) ).
tcf(c_3520,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xm),X0),sdtasdt0(sdtpldt0(xa,xm),X1)) = sdtasdt0(sdtpldt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3508,c_68]) ).
tcf(c_3521,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,xm),X0),X1) = sdtpldt0(sdtpldt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3508,c_77]) ).
tcf(c_3522,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,xm),X0),X1) = sdtasdt0(sdtpldt0(xa,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3508,c_71]) ).
tcf(c_3523,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3508,c_909]) ).
tcf(c_3524,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,xm),X0) = sdtpldt0(X0,sdtpldt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3508,c_76]) ).
tcf(c_3525,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,xm),X0) = sdtasdt0(X0,sdtpldt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3508,c_70]) ).
tcf(c_3526,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),sdtpldt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_3508,c_74]) ).
tcf(c_3527,plain,
sdtpldt0(sdtpldt0(xa,xm),smndt0(sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_73]) ).
tcf(c_3528,plain,
sdtpldt0(sz00,sdtpldt0(xa,xm)) = sdtpldt0(xa,xm),
inference(superposition,[status(thm)],[c_3508,c_63]) ).
tcf(c_3529,plain,
sdtpldt0(sdtpldt0(xa,xm),sz00) = sdtpldt0(xa,xm),
inference(superposition,[status(thm)],[c_3508,c_62]) ).
tcf(c_3530,plain,
sdtasdt0(sz00,sdtpldt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_3508,c_61]) ).
tcf(c_3531,plain,
sdtasdt0(sdtpldt0(xa,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_3508,c_60]) ).
tcf(c_3594,plain,
( ( xa = sz00 )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_1885,c_59]) ).
tcf(c_3595,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_1885,c_72]) ).
tcf(c_3596,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_3595,c_49,c_1633]) ).
tcf(c_3597,plain,
( ( xa = sz00 )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3594,c_49,c_1633]) ).
tcf(c_3601,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1182]) ).
tcf(c_3602,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1120]) ).
tcf(c_3603,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1119]) ).
tcf(c_3604,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1118]) ).
tcf(c_3605,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1117]) ).
tcf(c_3606,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1116]) ).
tcf(c_3607,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1115]) ).
tcf(c_3608,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_951]) ).
tcf(c_3609,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_937]) ).
tcf(c_3610,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3596,c_69]) ).
tcf(c_3611,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_923]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3596,c_68]) ).
tcf(c_3613,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3596,c_77]) ).
tcf(c_3614,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3596,c_71]) ).
tcf(c_3615,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3596,c_909]) ).
tcf(c_3616,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3596,c_76]) ).
tcf(c_3617,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3596,c_70]) ).
tcf(c_3618,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_74]) ).
tcf(c_3619,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_73]) ).
tcf(c_3620,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) = sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_3596,c_63]) ).
tcf(c_3621,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_3596,c_62]) ).
tcf(c_3622,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_61]) ).
tcf(c_3623,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3596,c_60]) ).
tcf(c_3749,plain,
sdtpldt0(xb,xp) = sdtpldt0(xp,xb),
inference(superposition,[status(thm)],[c_51,c_1183]) ).
tcf(c_3750,plain,
sdtpldt0(xb,xq) = sdtpldt0(xq,xb),
inference(superposition,[status(thm)],[c_53,c_1183]) ).
tcf(c_3751,plain,
sdtpldt0(xb,xm) = sdtpldt0(xm,xb),
inference(superposition,[status(thm)],[c_56,c_1183]) ).
tcf(c_3752,plain,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(superposition,[status(thm)],[c_64,c_1183]) ).
tcf(c_3753,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xb) = sdtpldt0(xb,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1183]) ).
tcf(c_3754,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xb) = sdtpldt0(xb,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1183]) ).
tcf(c_3755,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xb) = sdtpldt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1183]) ).
tcf(c_3756,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1183]) ).
tcf(c_3757,plain,
sdtpldt0(sdtasdt0(xp,xq),xb) = sdtpldt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1183]) ).
tcf(c_3758,plain,
sdtpldt0(sdtasdt0(xp,xa),xb) = sdtpldt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1183]) ).
tcf(c_3759,plain,
sdtpldt0(sdtasdt0(xa,xb),xb) = sdtpldt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1183]) ).
tcf(c_3760,plain,
sdtpldt0(sdtasdt0(xq,xa),xb) = sdtpldt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1183]) ).
tcf(c_3761,plain,
sdtpldt0(sdtasdt0(xa,xm),xb) = sdtpldt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1183]) ).
tcf(c_3762,plain,
sdtpldt0(sdtasdt0(xp,xb),xb) = sdtpldt0(xb,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1183]) ).
tcf(c_3763,plain,
sdtpldt0(sdtasdt0(xq,xb),xb) = sdtpldt0(xb,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1183]) ).
tcf(c_3764,plain,
sdtpldt0(sdtasdt0(xb,xm),xb) = sdtpldt0(xb,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1183]) ).
tcf(c_3765,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1183]) ).
tcf(c_3766,plain,
sdtpldt0(sdtasdt0(xp,xm),xb) = sdtpldt0(xb,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1183]) ).
tcf(c_3767,plain,
sdtpldt0(sdtasdt0(xq,xm),xb) = sdtpldt0(xb,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1183]) ).
tcf(c_3768,plain,
sdtpldt0(sdtpldt0(xa,xb),xb) = sdtpldt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1183]) ).
tcf(c_3769,plain,
sdtpldt0(sdtpldt0(xp,xa),xb) = sdtpldt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1183]) ).
tcf(c_3770,plain,
sdtpldt0(sdtpldt0(xq,xa),xb) = sdtpldt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1183]) ).
tcf(c_3771,plain,
sdtpldt0(sdtpldt0(xa,xm),xb) = sdtpldt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1183]) ).
tcf(c_3798,plain,
( aInteger0(sdtpldt0(xp,xb))
| ~ aInteger0(xp)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_3749,c_78]) ).
tcf(c_3799,plain,
aInteger0(sdtpldt0(xp,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_3798,c_51,c_50]) ).
tcf(c_3800,plain,
sdtpldt0(sdtpldt0(xp,xb),xb) = sdtpldt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1183]) ).
tcf(c_3801,plain,
sdtpldt0(sdtpldt0(xp,xb),xa) = sdtpldt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1182]) ).
tcf(c_3802,plain,
sdtasdt0(sdtpldt0(xp,xb),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1120]) ).
tcf(c_3803,plain,
sdtasdt0(sdtpldt0(xp,xb),xm) = sdtasdt0(xm,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1119]) ).
tcf(c_3804,plain,
sdtasdt0(sdtpldt0(xp,xb),xq) = sdtasdt0(xq,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1118]) ).
tcf(c_3805,plain,
sdtasdt0(sdtpldt0(xp,xb),xp) = sdtasdt0(xp,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1117]) ).
tcf(c_3806,plain,
sdtasdt0(sdtpldt0(xp,xb),xb) = sdtasdt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1116]) ).
tcf(c_3807,plain,
sdtasdt0(sdtpldt0(xp,xb),xa) = sdtasdt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1115]) ).
tcf(c_3808,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xb))) = smndt0(sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_951]) ).
tcf(c_3809,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),sz00) = smndt0(sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_937]) ).
tcf(c_3810,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3799,c_69]) ).
tcf(c_3811,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_923]) ).
tcf(c_3812,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xb),X0),sdtasdt0(sdtpldt0(xp,xb),X1)) = sdtasdt0(sdtpldt0(xp,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3799,c_68]) ).
tcf(c_3813,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xb),X0),X1) = sdtpldt0(sdtpldt0(xp,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3799,c_77]) ).
tcf(c_3814,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xb),X0),X1) = sdtasdt0(sdtpldt0(xp,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3799,c_71]) ).
tcf(c_3815,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3799,c_909]) ).
tcf(c_3816,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xb),X0) = sdtpldt0(X0,sdtpldt0(xp,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3799,c_76]) ).
tcf(c_3817,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xb),X0) = sdtasdt0(X0,sdtpldt0(xp,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3799,c_70]) ).
tcf(c_3818,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),sdtpldt0(xp,xb)) = sz00,
inference(superposition,[status(thm)],[c_3799,c_74]) ).
tcf(c_3819,plain,
sdtpldt0(sdtpldt0(xp,xb),smndt0(sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_73]) ).
tcf(c_3820,plain,
sdtpldt0(sz00,sdtpldt0(xp,xb)) = sdtpldt0(xp,xb),
inference(superposition,[status(thm)],[c_3799,c_63]) ).
tcf(c_3821,plain,
sdtpldt0(sdtpldt0(xp,xb),sz00) = sdtpldt0(xp,xb),
inference(superposition,[status(thm)],[c_3799,c_62]) ).
tcf(c_3822,plain,
sdtasdt0(sz00,sdtpldt0(xp,xb)) = sz00,
inference(superposition,[status(thm)],[c_3799,c_61]) ).
tcf(c_3823,plain,
sdtasdt0(sdtpldt0(xp,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_3799,c_60]) ).
tcf(c_3869,plain,
( aInteger0(sdtpldt0(xq,xb))
| ~ aInteger0(xq)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_3750,c_78]) ).
tcf(c_3870,plain,
aInteger0(sdtpldt0(xq,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_3869,c_53,c_50]) ).
tcf(c_3928,plain,
sdtpldt0(sdtpldt0(xq,xb),xb) = sdtpldt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1183]) ).
tcf(c_3929,plain,
sdtpldt0(sdtpldt0(xq,xb),xa) = sdtpldt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1182]) ).
tcf(c_3930,plain,
sdtasdt0(sdtpldt0(xq,xb),sz00) = sdtasdt0(sz00,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1120]) ).
tcf(c_3931,plain,
sdtasdt0(sdtpldt0(xq,xb),xm) = sdtasdt0(xm,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1119]) ).
tcf(c_3932,plain,
sdtasdt0(sdtpldt0(xq,xb),xq) = sdtasdt0(xq,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1118]) ).
tcf(c_3933,plain,
sdtasdt0(sdtpldt0(xq,xb),xp) = sdtasdt0(xp,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1117]) ).
tcf(c_3934,plain,
sdtasdt0(sdtpldt0(xq,xb),xb) = sdtasdt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1116]) ).
tcf(c_3935,plain,
sdtasdt0(sdtpldt0(xq,xb),xa) = sdtasdt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1115]) ).
tcf(c_3936,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,xb))) = smndt0(sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_951]) ).
tcf(c_3937,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),sz00) = smndt0(sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_937]) ).
tcf(c_3938,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3870,c_69]) ).
tcf(c_3939,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_923]) ).
tcf(c_3940,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xb),X0),sdtasdt0(sdtpldt0(xq,xb),X1)) = sdtasdt0(sdtpldt0(xq,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3870,c_68]) ).
tcf(c_3941,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,xb),X0),X1) = sdtpldt0(sdtpldt0(xq,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3870,c_77]) ).
tcf(c_3942,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,xb),X0),X1) = sdtasdt0(sdtpldt0(xq,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3870,c_71]) ).
tcf(c_3943,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3870,c_909]) ).
tcf(c_3944,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xb),X0) = sdtpldt0(X0,sdtpldt0(xq,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3870,c_76]) ).
tcf(c_3945,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xb),X0) = sdtasdt0(X0,sdtpldt0(xq,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3870,c_70]) ).
tcf(c_3946,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),sdtpldt0(xq,xb)) = sz00,
inference(superposition,[status(thm)],[c_3870,c_74]) ).
tcf(c_3947,plain,
sdtpldt0(sdtpldt0(xq,xb),smndt0(sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_73]) ).
tcf(c_3948,plain,
sdtpldt0(sz00,sdtpldt0(xq,xb)) = sdtpldt0(xq,xb),
inference(superposition,[status(thm)],[c_3870,c_63]) ).
tcf(c_3949,plain,
sdtpldt0(sdtpldt0(xq,xb),sz00) = sdtpldt0(xq,xb),
inference(superposition,[status(thm)],[c_3870,c_62]) ).
tcf(c_3950,plain,
sdtasdt0(sz00,sdtpldt0(xq,xb)) = sz00,
inference(superposition,[status(thm)],[c_3870,c_61]) ).
tcf(c_3951,plain,
sdtasdt0(sdtpldt0(xq,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_3870,c_60]) ).
tcf(c_4044,plain,
( aInteger0(sdtpldt0(xb,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_3751,c_78]) ).
tcf(c_4045,plain,
aInteger0(sdtpldt0(xb,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_4044,c_56,c_50]) ).
tcf(c_4046,plain,
sdtpldt0(sdtpldt0(xb,xm),xb) = sdtpldt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1183]) ).
tcf(c_4047,plain,
sdtpldt0(sdtpldt0(xb,xm),xa) = sdtpldt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1182]) ).
tcf(c_4048,plain,
sdtasdt0(sdtpldt0(xb,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1120]) ).
tcf(c_4049,plain,
sdtasdt0(sdtpldt0(xb,xm),xm) = sdtasdt0(xm,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1119]) ).
tcf(c_4050,plain,
sdtasdt0(sdtpldt0(xb,xm),xq) = sdtasdt0(xq,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1118]) ).
tcf(c_4051,plain,
sdtasdt0(sdtpldt0(xb,xm),xp) = sdtasdt0(xp,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1117]) ).
tcf(c_4052,plain,
sdtasdt0(sdtpldt0(xb,xm),xb) = sdtasdt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1116]) ).
tcf(c_4053,plain,
sdtasdt0(sdtpldt0(xb,xm),xa) = sdtasdt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1115]) ).
tcf(c_4054,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,xm))) = smndt0(sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_951]) ).
tcf(c_4055,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),sz00) = smndt0(sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_937]) ).
tcf(c_4056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4045,c_69]) ).
tcf(c_4057,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_923]) ).
tcf(c_4058,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,xm),X0),sdtasdt0(sdtpldt0(xb,xm),X1)) = sdtasdt0(sdtpldt0(xb,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4045,c_68]) ).
tcf(c_4059,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,xm),X0),X1) = sdtpldt0(sdtpldt0(xb,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4045,c_77]) ).
tcf(c_4060,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,xm),X0),X1) = sdtasdt0(sdtpldt0(xb,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4045,c_71]) ).
tcf(c_4061,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4045,c_909]) ).
tcf(c_4062,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,xm),X0) = sdtpldt0(X0,sdtpldt0(xb,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4045,c_76]) ).
tcf(c_4063,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,xm),X0) = sdtasdt0(X0,sdtpldt0(xb,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4045,c_70]) ).
tcf(c_4064,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),sdtpldt0(xb,xm)) = sz00,
inference(superposition,[status(thm)],[c_4045,c_74]) ).
tcf(c_4065,plain,
sdtpldt0(sdtpldt0(xb,xm),smndt0(sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_73]) ).
tcf(c_4066,plain,
sdtpldt0(sz00,sdtpldt0(xb,xm)) = sdtpldt0(xb,xm),
inference(superposition,[status(thm)],[c_4045,c_63]) ).
tcf(c_4067,plain,
sdtpldt0(sdtpldt0(xb,xm),sz00) = sdtpldt0(xb,xm),
inference(superposition,[status(thm)],[c_4045,c_62]) ).
tcf(c_4068,plain,
sdtasdt0(sz00,sdtpldt0(xb,xm)) = sz00,
inference(superposition,[status(thm)],[c_4045,c_61]) ).
tcf(c_4069,plain,
sdtasdt0(sdtpldt0(xb,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_4045,c_60]) ).
tcf(c_4120,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,xb) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,xb))
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_1919,c_59]) ).
tcf(c_4121,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_1919,c_72]) ).
tcf(c_4122,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_4121,c_49,c_1914]) ).
tcf(c_4123,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,xb) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4120,c_49,c_1914]) ).
tcf(c_4127,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1183]) ).
tcf(c_4128,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1182]) ).
tcf(c_4129,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1120]) ).
tcf(c_4130,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1119]) ).
tcf(c_4131,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1118]) ).
tcf(c_4132,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1117]) ).
tcf(c_4133,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1116]) ).
tcf(c_4134,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1115]) ).
tcf(c_4135,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))) = smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_951]) ).
tcf(c_4136,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_937]) ).
tcf(c_4137,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4122,c_69]) ).
tcf(c_4138,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_923]) ).
tcf(c_4139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4122,c_68]) ).
tcf(c_4140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4122,c_77]) ).
tcf(c_4141,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4122,c_71]) ).
tcf(c_4142,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4122,c_909]) ).
tcf(c_4143,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4122,c_76]) ).
tcf(c_4144,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4122,c_70]) ).
tcf(c_4145,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(xa,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_74]) ).
tcf(c_4146,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_73]) ).
tcf(c_4147,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xb))) = sdtasdt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_4122,c_63]) ).
tcf(c_4148,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),sz00) = sdtasdt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_4122,c_62]) ).
tcf(c_4149,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_61]) ).
tcf(c_4150,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4122,c_60]) ).
tcf(c_4299,plain,
sdtpldt0(xp,xq) = sdtpldt0(xq,xp),
inference(superposition,[status(thm)],[c_53,c_1184]) ).
tcf(c_4300,plain,
sdtpldt0(xp,xm) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_56,c_1184]) ).
tcf(c_4301,plain,
sdtpldt0(xp,sz00) = sdtpldt0(sz00,xp),
inference(superposition,[status(thm)],[c_64,c_1184]) ).
tcf(c_4302,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1184]) ).
tcf(c_4303,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xp) = sdtpldt0(xp,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1184]) ).
tcf(c_4304,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1184]) ).
tcf(c_4305,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1184]) ).
tcf(c_4306,plain,
sdtpldt0(sdtasdt0(xp,xq),xp) = sdtpldt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1184]) ).
tcf(c_4307,plain,
sdtpldt0(sdtasdt0(xp,xa),xp) = sdtpldt0(xp,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1184]) ).
tcf(c_4308,plain,
sdtpldt0(sdtasdt0(xa,xb),xp) = sdtpldt0(xp,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1184]) ).
tcf(c_4309,plain,
sdtpldt0(sdtasdt0(xq,xa),xp) = sdtpldt0(xp,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1184]) ).
tcf(c_4310,plain,
sdtpldt0(sdtasdt0(xa,xm),xp) = sdtpldt0(xp,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1184]) ).
tcf(c_4311,plain,
sdtpldt0(sdtasdt0(xp,xb),xp) = sdtpldt0(xp,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1184]) ).
tcf(c_4312,plain,
sdtpldt0(sdtasdt0(xq,xb),xp) = sdtpldt0(xp,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1184]) ).
tcf(c_4313,plain,
sdtpldt0(sdtasdt0(xb,xm),xp) = sdtpldt0(xp,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1184]) ).
tcf(c_4314,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1184]) ).
tcf(c_4315,plain,
sdtpldt0(sdtasdt0(xp,xm),xp) = sdtpldt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1184]) ).
tcf(c_4316,plain,
sdtpldt0(sdtasdt0(xq,xm),xp) = sdtpldt0(xp,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1184]) ).
tcf(c_4317,plain,
sdtpldt0(sdtpldt0(xa,xb),xp) = sdtpldt0(xp,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1184]) ).
tcf(c_4318,plain,
sdtpldt0(sdtpldt0(xp,xa),xp) = sdtpldt0(xp,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1184]) ).
tcf(c_4319,plain,
sdtpldt0(sdtpldt0(xq,xa),xp) = sdtpldt0(xp,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1184]) ).
tcf(c_4320,plain,
sdtpldt0(sdtpldt0(xa,xm),xp) = sdtpldt0(xp,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1184]) ).
tcf(c_4321,plain,
sdtpldt0(sdtpldt0(xp,xb),xp) = sdtpldt0(xp,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1184]) ).
tcf(c_4322,plain,
sdtpldt0(sdtpldt0(xq,xb),xp) = sdtpldt0(xp,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1184]) ).
tcf(c_4323,plain,
sdtpldt0(sdtpldt0(xb,xm),xp) = sdtpldt0(xp,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1184]) ).
tcf(c_4324,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1184]) ).
tcf(c_4337,plain,
( aInteger0(sdtpldt0(xp,xq))
| ~ aInteger0(xq)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_4299,c_78]) ).
tcf(c_4338,plain,
aInteger0(sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_4337,c_53,c_51]) ).
tcf(c_4339,plain,
sdtpldt0(sdtpldt0(xp,xq),xp) = sdtpldt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1184]) ).
tcf(c_4340,plain,
sdtpldt0(sdtpldt0(xp,xq),xb) = sdtpldt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1183]) ).
tcf(c_4341,plain,
sdtpldt0(sdtpldt0(xp,xq),xa) = sdtpldt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1182]) ).
tcf(c_4342,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1120]) ).
tcf(c_4343,plain,
sdtasdt0(sdtpldt0(xp,xq),xm) = sdtasdt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1119]) ).
tcf(c_4344,plain,
sdtasdt0(sdtpldt0(xp,xq),xq) = sdtasdt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1118]) ).
tcf(c_4345,plain,
sdtasdt0(sdtpldt0(xp,xq),xp) = sdtasdt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1117]) ).
tcf(c_4346,plain,
sdtasdt0(sdtpldt0(xp,xq),xb) = sdtasdt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1116]) ).
tcf(c_4347,plain,
sdtasdt0(sdtpldt0(xp,xq),xa) = sdtasdt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1115]) ).
tcf(c_4348,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xq))) = smndt0(sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_951]) ).
tcf(c_4349,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),sz00) = smndt0(sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_937]) ).
tcf(c_4350,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xq),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xq),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4338,c_69]) ).
tcf(c_4351,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_923]) ).
tcf(c_4352,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xq),X0),sdtasdt0(sdtpldt0(xp,xq),X1)) = sdtasdt0(sdtpldt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4338,c_68]) ).
tcf(c_4353,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xq),X0),X1) = sdtpldt0(sdtpldt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4338,c_77]) ).
tcf(c_4354,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xq),X0),X1) = sdtasdt0(sdtpldt0(xp,xq),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4338,c_71]) ).
tcf(c_4355,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4338,c_909]) ).
tcf(c_4356,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xq),X0) = sdtpldt0(X0,sdtpldt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4338,c_76]) ).
tcf(c_4357,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xq),X0) = sdtasdt0(X0,sdtpldt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4338,c_70]) ).
tcf(c_4358,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),sdtpldt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_4338,c_74]) ).
tcf(c_4359,plain,
sdtpldt0(sdtpldt0(xp,xq),smndt0(sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_73]) ).
tcf(c_4360,plain,
sdtpldt0(sz00,sdtpldt0(xp,xq)) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_4338,c_63]) ).
tcf(c_4361,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_4338,c_62]) ).
tcf(c_4362,plain,
sdtasdt0(sz00,sdtpldt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_4338,c_61]) ).
tcf(c_4363,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_4338,c_60]) ).
tcf(c_4413,plain,
( aInteger0(sdtpldt0(xp,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_4300,c_78]) ).
tcf(c_4414,plain,
aInteger0(sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_4413,c_56,c_51]) ).
tcf(c_4415,plain,
sdtpldt0(sdtpldt0(xp,xm),xp) = sdtpldt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1184]) ).
tcf(c_4416,plain,
sdtpldt0(sdtpldt0(xp,xm),xb) = sdtpldt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1183]) ).
tcf(c_4417,plain,
sdtpldt0(sdtpldt0(xp,xm),xa) = sdtpldt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1182]) ).
tcf(c_4418,plain,
sdtasdt0(sdtpldt0(xp,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1120]) ).
tcf(c_4419,plain,
sdtasdt0(sdtpldt0(xp,xm),xm) = sdtasdt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1119]) ).
tcf(c_4420,plain,
sdtasdt0(sdtpldt0(xp,xm),xq) = sdtasdt0(xq,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1118]) ).
tcf(c_4421,plain,
sdtasdt0(sdtpldt0(xp,xm),xp) = sdtasdt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1117]) ).
tcf(c_4422,plain,
sdtasdt0(sdtpldt0(xp,xm),xb) = sdtasdt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1116]) ).
tcf(c_4423,plain,
sdtasdt0(sdtpldt0(xp,xm),xa) = sdtasdt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1115]) ).
tcf(c_4424,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xm))) = smndt0(sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_951]) ).
tcf(c_4425,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),sz00) = smndt0(sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_937]) ).
tcf(c_4426,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4414,c_69]) ).
tcf(c_4427,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_923]) ).
tcf(c_4428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtasdt0(sdtpldt0(xp,xm),X1)) = sdtasdt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4414,c_68]) ).
tcf(c_4429,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),X0),X1) = sdtpldt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4414,c_77]) ).
tcf(c_4430,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xm),X0),X1) = sdtasdt0(sdtpldt0(xp,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4414,c_71]) ).
tcf(c_4431,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4414,c_909]) ).
tcf(c_4432,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xm),X0) = sdtpldt0(X0,sdtpldt0(xp,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4414,c_76]) ).
tcf(c_4433,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xm),X0) = sdtasdt0(X0,sdtpldt0(xp,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4414,c_70]) ).
tcf(c_4434,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_4414,c_74]) ).
tcf(c_4435,plain,
sdtpldt0(sdtpldt0(xp,xm),smndt0(sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_73]) ).
tcf(c_4436,plain,
sdtpldt0(sz00,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_4414,c_63]) ).
tcf(c_4437,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_4414,c_62]) ).
tcf(c_4438,plain,
sdtasdt0(sz00,sdtpldt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_4414,c_61]) ).
tcf(c_4439,plain,
sdtasdt0(sdtpldt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_4414,c_60]) ).
tcf(c_4584,plain,
sdtpldt0(xq,xm) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_56,c_1185]) ).
tcf(c_4585,plain,
sdtpldt0(sz00,xq) = sdtpldt0(xq,sz00),
inference(superposition,[status(thm)],[c_64,c_1185]) ).
tcf(c_4586,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xq) = sdtpldt0(xq,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1185]) ).
tcf(c_4587,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xq) = sdtpldt0(xq,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1185]) ).
tcf(c_4588,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(xq,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1185]) ).
tcf(c_4589,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1185]) ).
tcf(c_4590,plain,
sdtpldt0(sdtasdt0(xp,xq),xq) = sdtpldt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1185]) ).
tcf(c_4591,plain,
sdtpldt0(sdtasdt0(xp,xa),xq) = sdtpldt0(xq,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1185]) ).
tcf(c_4592,plain,
sdtpldt0(sdtasdt0(xa,xb),xq) = sdtpldt0(xq,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1185]) ).
tcf(c_4593,plain,
sdtpldt0(sdtasdt0(xq,xa),xq) = sdtpldt0(xq,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1185]) ).
tcf(c_4594,plain,
sdtpldt0(sdtasdt0(xa,xm),xq) = sdtpldt0(xq,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1185]) ).
tcf(c_4595,plain,
sdtpldt0(sdtasdt0(xp,xb),xq) = sdtpldt0(xq,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1185]) ).
tcf(c_4596,plain,
sdtpldt0(sdtasdt0(xq,xb),xq) = sdtpldt0(xq,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1185]) ).
tcf(c_4597,plain,
sdtpldt0(sdtasdt0(xb,xm),xq) = sdtpldt0(xq,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1185]) ).
tcf(c_4598,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1185]) ).
tcf(c_4599,plain,
sdtpldt0(sdtasdt0(xp,xm),xq) = sdtpldt0(xq,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1185]) ).
tcf(c_4600,plain,
sdtpldt0(sdtasdt0(xq,xm),xq) = sdtpldt0(xq,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1185]) ).
tcf(c_4601,plain,
sdtpldt0(sdtpldt0(xa,xb),xq) = sdtpldt0(xq,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1185]) ).
tcf(c_4602,plain,
sdtpldt0(sdtpldt0(xp,xa),xq) = sdtpldt0(xq,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1185]) ).
tcf(c_4603,plain,
sdtpldt0(sdtpldt0(xq,xa),xq) = sdtpldt0(xq,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1185]) ).
tcf(c_4604,plain,
sdtpldt0(sdtpldt0(xa,xm),xq) = sdtpldt0(xq,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1185]) ).
tcf(c_4605,plain,
sdtpldt0(sdtpldt0(xp,xb),xq) = sdtpldt0(xq,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1185]) ).
tcf(c_4606,plain,
sdtpldt0(sdtpldt0(xq,xb),xq) = sdtpldt0(xq,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1185]) ).
tcf(c_4607,plain,
sdtpldt0(sdtpldt0(xb,xm),xq) = sdtpldt0(xq,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1185]) ).
tcf(c_4608,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1185]) ).
tcf(c_4609,plain,
sdtpldt0(sdtpldt0(xp,xq),xq) = sdtpldt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1185]) ).
tcf(c_4610,plain,
sdtpldt0(sdtpldt0(xp,xm),xq) = sdtpldt0(xq,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1185]) ).
tcf(c_4656,plain,
( aInteger0(sdtpldt0(xq,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_4584,c_78]) ).
tcf(c_4657,plain,
aInteger0(sdtpldt0(xq,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_4656,c_56,c_53]) ).
tcf(c_4658,plain,
sdtpldt0(sdtpldt0(xq,xm),xq) = sdtpldt0(xq,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1185]) ).
tcf(c_4659,plain,
sdtpldt0(sdtpldt0(xq,xm),xp) = sdtpldt0(xp,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1184]) ).
tcf(c_4660,plain,
sdtpldt0(sdtpldt0(xq,xm),xb) = sdtpldt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1183]) ).
tcf(c_4661,plain,
sdtpldt0(sdtpldt0(xq,xm),xa) = sdtpldt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1182]) ).
tcf(c_4662,plain,
sdtasdt0(sdtpldt0(xq,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1120]) ).
tcf(c_4663,plain,
sdtasdt0(sdtpldt0(xq,xm),xm) = sdtasdt0(xm,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1119]) ).
tcf(c_4664,plain,
sdtasdt0(sdtpldt0(xq,xm),xq) = sdtasdt0(xq,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1118]) ).
tcf(c_4665,plain,
sdtasdt0(sdtpldt0(xq,xm),xp) = sdtasdt0(xp,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1117]) ).
tcf(c_4666,plain,
sdtasdt0(sdtpldt0(xq,xm),xb) = sdtasdt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1116]) ).
tcf(c_4667,plain,
sdtasdt0(sdtpldt0(xq,xm),xa) = sdtasdt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1115]) ).
tcf(c_4668,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,xm))) = smndt0(sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_951]) ).
tcf(c_4669,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),sz00) = smndt0(sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_937]) ).
tcf(c_4670,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4657,c_69]) ).
tcf(c_4671,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_923]) ).
tcf(c_4672,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xm),X0),sdtasdt0(sdtpldt0(xq,xm),X1)) = sdtasdt0(sdtpldt0(xq,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4657,c_68]) ).
tcf(c_4673,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,xm),X0),X1) = sdtpldt0(sdtpldt0(xq,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4657,c_77]) ).
tcf(c_4674,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,xm),X0),X1) = sdtasdt0(sdtpldt0(xq,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4657,c_71]) ).
tcf(c_4675,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4657,c_909]) ).
tcf(c_4676,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xm),X0) = sdtpldt0(X0,sdtpldt0(xq,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4657,c_76]) ).
tcf(c_4677,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xm),X0) = sdtasdt0(X0,sdtpldt0(xq,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4657,c_70]) ).
tcf(c_4678,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),sdtpldt0(xq,xm)) = sz00,
inference(superposition,[status(thm)],[c_4657,c_74]) ).
tcf(c_4679,plain,
sdtpldt0(sdtpldt0(xq,xm),smndt0(sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_73]) ).
tcf(c_4680,plain,
sdtpldt0(sz00,sdtpldt0(xq,xm)) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_4657,c_63]) ).
tcf(c_4681,plain,
sdtpldt0(sdtpldt0(xq,xm),sz00) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_4657,c_62]) ).
tcf(c_4682,plain,
sdtasdt0(sz00,sdtpldt0(xq,xm)) = sz00,
inference(superposition,[status(thm)],[c_4657,c_61]) ).
tcf(c_4683,plain,
sdtasdt0(sdtpldt0(xq,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_4657,c_60]) ).
tcf(c_4742,plain,
sdtpldt0(sz00,xm) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_64,c_1186]) ).
tcf(c_4743,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1186]) ).
tcf(c_4744,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xm) = sdtpldt0(xm,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1186]) ).
tcf(c_4745,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1186]) ).
tcf(c_4746,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1186]) ).
tcf(c_4747,plain,
sdtpldt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1186]) ).
tcf(c_4748,plain,
sdtpldt0(sdtasdt0(xp,xa),xm) = sdtpldt0(xm,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1186]) ).
tcf(c_4749,plain,
sdtpldt0(sdtasdt0(xa,xb),xm) = sdtpldt0(xm,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1186]) ).
tcf(c_4750,plain,
sdtpldt0(sdtasdt0(xq,xa),xm) = sdtpldt0(xm,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1186]) ).
tcf(c_4751,plain,
sdtpldt0(sdtasdt0(xa,xm),xm) = sdtpldt0(xm,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1186]) ).
tcf(c_4752,plain,
sdtpldt0(sdtasdt0(xp,xb),xm) = sdtpldt0(xm,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1186]) ).
tcf(c_4753,plain,
sdtpldt0(sdtasdt0(xq,xb),xm) = sdtpldt0(xm,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1186]) ).
tcf(c_4754,plain,
sdtpldt0(sdtasdt0(xb,xm),xm) = sdtpldt0(xm,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1186]) ).
tcf(c_4755,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1186]) ).
tcf(c_4756,plain,
sdtpldt0(sdtasdt0(xp,xm),xm) = sdtpldt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1186]) ).
tcf(c_4757,plain,
sdtpldt0(sdtasdt0(xq,xm),xm) = sdtpldt0(xm,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1186]) ).
tcf(c_4758,plain,
sdtpldt0(sdtpldt0(xa,xb),xm) = sdtpldt0(xm,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1186]) ).
tcf(c_4759,plain,
sdtpldt0(sdtpldt0(xp,xa),xm) = sdtpldt0(xm,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1186]) ).
tcf(c_4760,plain,
sdtpldt0(sdtpldt0(xq,xa),xm) = sdtpldt0(xm,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1186]) ).
tcf(c_4761,plain,
sdtpldt0(sdtpldt0(xa,xm),xm) = sdtpldt0(xm,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1186]) ).
tcf(c_4762,plain,
sdtpldt0(sdtpldt0(xp,xb),xm) = sdtpldt0(xm,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1186]) ).
tcf(c_4763,plain,
sdtpldt0(sdtpldt0(xq,xb),xm) = sdtpldt0(xm,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1186]) ).
tcf(c_4764,plain,
sdtpldt0(sdtpldt0(xb,xm),xm) = sdtpldt0(xm,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1186]) ).
tcf(c_4765,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1186]) ).
tcf(c_4766,plain,
sdtpldt0(sdtpldt0(xp,xq),xm) = sdtpldt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1186]) ).
tcf(c_4767,plain,
sdtpldt0(sdtpldt0(xp,xm),xm) = sdtpldt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1186]) ).
tcf(c_4768,plain,
sdtpldt0(sdtpldt0(xq,xm),xm) = sdtpldt0(xm,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1186]) ).
tcf(c_4848,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1187]) ).
tcf(c_4849,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1187]) ).
tcf(c_4850,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1187]) ).
tcf(c_4851,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_1633,c_1187]) ).
tcf(c_4852,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2661,c_1187]) ).
tcf(c_4853,plain,
sdtpldt0(sdtasdt0(xp,xa),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_1975,c_1187]) ).
tcf(c_4854,plain,
sdtpldt0(sdtasdt0(xa,xb),sz00) = sdtpldt0(sz00,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_1914,c_1187]) ).
tcf(c_4855,plain,
sdtpldt0(sdtasdt0(xq,xa),sz00) = sdtpldt0(sz00,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_2091,c_1187]) ).
tcf(c_4856,plain,
sdtpldt0(sdtasdt0(xa,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_2166,c_1187]) ).
tcf(c_4857,plain,
sdtpldt0(sdtasdt0(xp,xb),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_2315,c_1187]) ).
tcf(c_4858,plain,
sdtpldt0(sdtasdt0(xq,xb),sz00) = sdtpldt0(sz00,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_2420,c_1187]) ).
tcf(c_4859,plain,
sdtpldt0(sdtasdt0(xb,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_2484,c_1187]) ).
tcf(c_4860,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_3596,c_1187]) ).
tcf(c_4861,plain,
sdtpldt0(sdtasdt0(xp,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_2753,c_1187]) ).
tcf(c_4862,plain,
sdtpldt0(sdtasdt0(xq,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_2918,c_1187]) ).
tcf(c_4863,plain,
sdtpldt0(sdtpldt0(xa,xb),sz00) = sdtpldt0(sz00,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3219,c_1187]) ).
tcf(c_4864,plain,
sdtpldt0(sdtpldt0(xp,xa),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3339,c_1187]) ).
tcf(c_4865,plain,
sdtpldt0(sdtpldt0(xq,xa),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3448,c_1187]) ).
tcf(c_4866,plain,
sdtpldt0(sdtpldt0(xa,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3508,c_1187]) ).
tcf(c_4867,plain,
sdtpldt0(sdtpldt0(xp,xb),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3799,c_1187]) ).
tcf(c_4868,plain,
sdtpldt0(sdtpldt0(xq,xb),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3870,c_1187]) ).
tcf(c_4869,plain,
sdtpldt0(sdtpldt0(xb,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4045,c_1187]) ).
tcf(c_4870,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_4122,c_1187]) ).
tcf(c_4871,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4338,c_1187]) ).
tcf(c_4872,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4414,c_1187]) ).
tcf(c_4873,plain,
sdtpldt0(sdtpldt0(xq,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_4657,c_1187]) ).
tcf(c_4910,plain,
sdtasdt0(smndt0(smndt0(xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_1264]) ).
tcf(c_4911,plain,
sdtasdt0(smndt0(smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_1264]) ).
tcf(c_4912,plain,
sdtasdt0(smndt0(smndt0(xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_1264]) ).
tcf(c_4913,plain,
sdtasdt0(smndt0(smndt0(xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_1264]) ).
tcf(c_4914,plain,
sdtasdt0(smndt0(smndt0(xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_1264]) ).
tcf(c_4915,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_1264]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(X0,X1))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1264]) ).
tcf(c_4917,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(X0))),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1264]) ).
tcf(c_4918,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(X0,X1))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1264]) ).
tcf(c_4919,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1633,c_1264]) ).
tcf(c_4920,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2661,c_1264]) ).
tcf(c_4921,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1975,c_1264]) ).
tcf(c_4922,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1914,c_1264]) ).
tcf(c_4923,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2091,c_1264]) ).
tcf(c_4924,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2166,c_1264]) ).
tcf(c_4925,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2315,c_1264]) ).
tcf(c_4926,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2420,c_1264]) ).
tcf(c_4927,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2484,c_1264]) ).
tcf(c_4928,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3596,c_1264]) ).
tcf(c_4929,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2753,c_1264]) ).
tcf(c_4930,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2918,c_1264]) ).
tcf(c_4931,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3219,c_1264]) ).
tcf(c_4932,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3339,c_1264]) ).
tcf(c_4933,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3448,c_1264]) ).
tcf(c_4934,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3508,c_1264]) ).
tcf(c_4935,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3799,c_1264]) ).
tcf(c_4936,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3870,c_1264]) ).
tcf(c_4937,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4045,c_1264]) ).
tcf(c_4938,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4122,c_1264]) ).
tcf(c_4939,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4338,c_1264]) ).
tcf(c_4940,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4414,c_1264]) ).
tcf(c_4941,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4657,c_1264]) ).
tcf(c_5016,plain,
sdtasdt0(sz00,smndt0(smndt0(xa))) = sz00,
inference(superposition,[status(thm)],[c_49,c_1582]) ).
tcf(c_5017,plain,
sdtasdt0(sz00,smndt0(smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_50,c_1582]) ).
tcf(c_5018,plain,
sdtasdt0(sz00,smndt0(smndt0(xp))) = sz00,
inference(superposition,[status(thm)],[c_51,c_1582]) ).
tcf(c_5019,plain,
sdtasdt0(sz00,smndt0(smndt0(xq))) = sz00,
inference(superposition,[status(thm)],[c_53,c_1582]) ).
tcf(c_5020,plain,
sdtasdt0(sz00,smndt0(smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_56,c_1582]) ).
tcf(c_5021,plain,
sdtasdt0(sz00,smndt0(smndt0(sz00))) = sz00,
inference(superposition,[status(thm)],[c_64,c_1582]) ).
tcf(c_5022,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1582]) ).
tcf(c_5023,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(X0)))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1582]) ).
tcf(c_5024,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1582]) ).
tcf(c_5025,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_1582]) ).
tcf(c_5026,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_1582]) ).
tcf(c_5027,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_1582]) ).
tcf(c_5028,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_1582]) ).
tcf(c_5029,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_1582]) ).
tcf(c_5030,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_1582]) ).
tcf(c_5031,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_1582]) ).
tcf(c_5032,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_1582]) ).
tcf(c_5033,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_1582]) ).
tcf(c_5034,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_1582]) ).
tcf(c_5035,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_1582]) ).
tcf(c_5036,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_1582]) ).
tcf(c_5037,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_1582]) ).
tcf(c_5038,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_1582]) ).
tcf(c_5039,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_1582]) ).
tcf(c_5040,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_1582]) ).
tcf(c_5041,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_1582]) ).
tcf(c_5042,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_1582]) ).
tcf(c_5043,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_1582]) ).
tcf(c_5044,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_1582]) ).
tcf(c_5045,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_1582]) ).
tcf(c_5046,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_1582]) ).
tcf(c_5047,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_1582]) ).
tcf(c_5182,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xa) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xa))
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2012,c_59]) ).
tcf(c_5183,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_2012,c_72]) ).
tcf(c_5184,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_5183,c_49,c_1975]) ).
tcf(c_5185,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xa) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5182,c_49,c_1975]) ).
tcf(c_5189,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_1582]) ).
tcf(c_5190,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5184,c_1264]) ).
tcf(c_5191,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1187]) ).
tcf(c_5192,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1186]) ).
tcf(c_5193,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1185]) ).
tcf(c_5194,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1184]) ).
tcf(c_5195,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1183]) ).
tcf(c_5196,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1182]) ).
tcf(c_5197,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1120]) ).
tcf(c_5198,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1119]) ).
tcf(c_5199,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1118]) ).
tcf(c_5200,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1117]) ).
tcf(c_5201,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1116]) ).
tcf(c_5202,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_1115]) ).
tcf(c_5203,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_951]) ).
tcf(c_5204,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_5184,c_937]) ).
tcf(c_5205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5184,c_69]) ).
tcf(c_5206,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_923]) ).
tcf(c_5207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5184,c_68]) ).
tcf(c_5208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5184,c_77]) ).
tcf(c_5209,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5184,c_71]) ).
tcf(c_5210,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5184,c_909]) ).
tcf(c_5211,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5184,c_76]) ).
tcf(c_5212,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5184,c_70]) ).
tcf(c_5213,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(xa,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_74]) ).
tcf(c_5214,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_73]) ).
tcf(c_5215,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xa))) = sdtasdt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_5184,c_63]) ).
tcf(c_5216,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xa)),sz00) = sdtasdt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_5184,c_62]) ).
tcf(c_5217,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_61]) ).
tcf(c_5218,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5184,c_60]) ).
tcf(c_5332,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xa) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xa))
| ( sdtasdt0(xa,sdtasdt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2095,c_59]) ).
tcf(c_5333,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_2095,c_72]) ).
tcf(c_5334,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_5333,c_49,c_2091]) ).
tcf(c_5335,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xa) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5332,c_49,c_2091]) ).
tcf(c_5339,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_1582]) ).
tcf(c_5340,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5334,c_1264]) ).
tcf(c_5341,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1187]) ).
tcf(c_5342,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1186]) ).
tcf(c_5343,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1185]) ).
tcf(c_5344,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1184]) ).
tcf(c_5345,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1183]) ).
tcf(c_5346,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1182]) ).
tcf(c_5347,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1120]) ).
tcf(c_5348,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1119]) ).
tcf(c_5349,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1118]) ).
tcf(c_5350,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1117]) ).
tcf(c_5351,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1116]) ).
tcf(c_5352,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_1115]) ).
tcf(c_5353,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))) = smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_951]) ).
tcf(c_5354,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_5334,c_937]) ).
tcf(c_5355,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5334,c_69]) ).
tcf(c_5356,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_923]) ).
tcf(c_5357,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5334,c_68]) ).
tcf(c_5358,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5334,c_77]) ).
tcf(c_5359,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5334,c_71]) ).
tcf(c_5360,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5334,c_909]) ).
tcf(c_5361,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5334,c_76]) ).
tcf(c_5362,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5334,c_70]) ).
tcf(c_5363,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),sdtasdt0(xa,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_74]) ).
tcf(c_5364,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_73]) ).
tcf(c_5365,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xa))) = sdtasdt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_5334,c_63]) ).
tcf(c_5366,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xa)),sz00) = sdtasdt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_5334,c_62]) ).
tcf(c_5367,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_61]) ).
tcf(c_5368,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5334,c_60]) ).
tcf(c_5463,plain,
sdtpldt0(smndt0(xa),smndt0(smndt0(xa))) = sz00,
inference(superposition,[status(thm)],[c_49,c_1004]) ).
tcf(c_5464,plain,
sdtpldt0(smndt0(xb),smndt0(smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_50,c_1004]) ).
tcf(c_5465,plain,
sdtpldt0(smndt0(xp),smndt0(smndt0(xp))) = sz00,
inference(superposition,[status(thm)],[c_51,c_1004]) ).
tcf(c_5466,plain,
sdtpldt0(smndt0(xq),smndt0(smndt0(xq))) = sz00,
inference(superposition,[status(thm)],[c_53,c_1004]) ).
tcf(c_5467,plain,
sdtpldt0(smndt0(xm),smndt0(smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_56,c_1004]) ).
tcf(c_5468,plain,
sdtpldt0(smndt0(sz00),smndt0(smndt0(sz00))) = sz00,
inference(superposition,[status(thm)],[c_64,c_1004]) ).
tcf(c_5469,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1004]) ).
tcf(c_5470,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0)))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1004]) ).
tcf(c_5471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1004]) ).
tcf(c_5472,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),smndt0(smndt0(sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_1004]) ).
tcf(c_5473,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),smndt0(smndt0(sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_1004]) ).
tcf(c_5474,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),smndt0(smndt0(sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_1004]) ).
tcf(c_5475,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),smndt0(smndt0(sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_1004]) ).
tcf(c_5476,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),smndt0(smndt0(sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_1004]) ).
tcf(c_5477,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),smndt0(smndt0(sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_1004]) ).
tcf(c_5478,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),smndt0(smndt0(sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_1004]) ).
tcf(c_5479,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),smndt0(smndt0(sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_1004]) ).
tcf(c_5480,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),smndt0(smndt0(sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_1004]) ).
tcf(c_5481,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_1004]) ).
tcf(c_5482,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),smndt0(smndt0(sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_1004]) ).
tcf(c_5483,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(smndt0(sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_1004]) ).
tcf(c_5484,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),smndt0(smndt0(sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_1004]) ).
tcf(c_5485,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),smndt0(smndt0(sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_1004]) ).
tcf(c_5486,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),smndt0(smndt0(sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_1004]) ).
tcf(c_5487,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),smndt0(smndt0(sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_1004]) ).
tcf(c_5488,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_1004]) ).
tcf(c_5489,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),smndt0(smndt0(sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_1004]) ).
tcf(c_5490,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),smndt0(smndt0(sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_1004]) ).
tcf(c_5491,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),smndt0(smndt0(sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_1004]) ).
tcf(c_5492,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_1004]) ).
tcf(c_5493,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),smndt0(smndt0(sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_1004]) ).
tcf(c_5494,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),smndt0(smndt0(sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_1004]) ).
tcf(c_5495,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),smndt0(smndt0(sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_1004]) ).
tcf(c_5496,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_1004]) ).
tcf(c_5643,plain,
sdtpldt0(smndt0(smndt0(xa)),smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_1038]) ).
tcf(c_5644,plain,
sdtpldt0(smndt0(smndt0(xb)),smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_1038]) ).
tcf(c_5645,plain,
sdtpldt0(smndt0(smndt0(xp)),smndt0(xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_1038]) ).
tcf(c_5646,plain,
sdtpldt0(smndt0(smndt0(xq)),smndt0(xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_1038]) ).
tcf(c_5647,plain,
sdtpldt0(smndt0(smndt0(xm)),smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_56,c_1038]) ).
tcf(c_5648,plain,
sdtpldt0(smndt0(smndt0(sz00)),smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_1038]) ).
tcf(c_5649,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1038]) ).
tcf(c_5650,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1038]) ).
tcf(c_5651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1038]) ).
tcf(c_5652,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))),smndt0(sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_1038]) ).
tcf(c_5653,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xq))),smndt0(sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_1038]) ).
tcf(c_5654,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xa))),smndt0(sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_1038]) ).
tcf(c_5655,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,xb))),smndt0(sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_1038]) ).
tcf(c_5656,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,xa))),smndt0(sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_1038]) ).
tcf(c_5657,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,xm))),smndt0(sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_1038]) ).
tcf(c_5658,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xb))),smndt0(sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_1038]) ).
tcf(c_5659,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,xb))),smndt0(sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_1038]) ).
tcf(c_5660,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,xm))),smndt0(sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_1038]) ).
tcf(c_5661,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_1038]) ).
tcf(c_5662,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xm))),smndt0(sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_1038]) ).
tcf(c_5663,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,xm))),smndt0(sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_1038]) ).
tcf(c_5664,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,xb))),smndt0(sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_1038]) ).
tcf(c_5665,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xa))),smndt0(sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_1038]) ).
tcf(c_5666,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,xa))),smndt0(sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_1038]) ).
tcf(c_5667,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,xm))),smndt0(sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_1038]) ).
tcf(c_5668,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_1038]) ).
tcf(c_5669,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xb))),smndt0(sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_1038]) ).
tcf(c_5670,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,xb))),smndt0(sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_1038]) ).
tcf(c_5671,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,xm))),smndt0(sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_1038]) ).
tcf(c_5672,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_1038]) ).
tcf(c_5673,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xq))),smndt0(sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_1038]) ).
tcf(c_5674,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xm))),smndt0(sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_1038]) ).
tcf(c_5675,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,xm))),smndt0(sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_1038]) ).
tcf(c_5676,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_1038]) ).
tcf(c_5695,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,xm))
| ( sdtasdt0(xa,sdtasdt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2171,c_59]) ).
tcf(c_5696,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xa,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_2171,c_72]) ).
tcf(c_5697,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_5696,c_49,c_2166]) ).
tcf(c_5698,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,xm) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5695,c_49,c_2166]) ).
tcf(c_5702,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_1038]) ).
tcf(c_5703,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_1004]) ).
tcf(c_5704,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_1582]) ).
tcf(c_5705,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5697,c_1264]) ).
tcf(c_5706,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1187]) ).
tcf(c_5707,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1186]) ).
tcf(c_5708,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1185]) ).
tcf(c_5709,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1184]) ).
tcf(c_5710,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1183]) ).
tcf(c_5711,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1182]) ).
tcf(c_5712,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1120]) ).
tcf(c_5713,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1119]) ).
tcf(c_5714,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1118]) ).
tcf(c_5715,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1117]) ).
tcf(c_5716,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1116]) ).
tcf(c_5717,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_1115]) ).
tcf(c_5718,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))) = smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_951]) ).
tcf(c_5719,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_5697,c_937]) ).
tcf(c_5720,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5697,c_69]) ).
tcf(c_5721,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_923]) ).
tcf(c_5722,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5697,c_68]) ).
tcf(c_5723,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5697,c_77]) ).
tcf(c_5724,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5697,c_71]) ).
tcf(c_5725,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5697,c_909]) ).
tcf(c_5726,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5697,c_76]) ).
tcf(c_5727,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5697,c_70]) ).
tcf(c_5728,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),sdtasdt0(xa,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_74]) ).
tcf(c_5729,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_73]) ).
tcf(c_5730,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xm))) = sdtasdt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_5697,c_63]) ).
tcf(c_5731,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,xm)),sz00) = sdtasdt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_5697,c_62]) ).
tcf(c_5732,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_61]) ).
tcf(c_5733,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5697,c_60]) ).
tcf(c_5837,plain,
sdtasdt0(smndt0(smndt0(smndt0(xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_4917]) ).
tcf(c_5838,plain,
sdtasdt0(smndt0(smndt0(smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_4917]) ).
tcf(c_5839,plain,
sdtasdt0(smndt0(smndt0(smndt0(xp))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_4917]) ).
tcf(c_5840,plain,
sdtasdt0(smndt0(smndt0(smndt0(xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_4917]) ).
tcf(c_5841,plain,
sdtasdt0(smndt0(smndt0(smndt0(xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_4917]) ).
tcf(c_5842,plain,
sdtasdt0(smndt0(smndt0(smndt0(sz00))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_4917]) ).
tcf(c_5843,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_4917]) ).
tcf(c_5844,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(X0)))),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_4917]) ).
tcf(c_5845,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_4917]) ).
tcf(c_5846,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1633,c_4917]) ).
tcf(c_5847,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2661,c_4917]) ).
tcf(c_5848,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1975,c_4917]) ).
tcf(c_5849,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1914,c_4917]) ).
tcf(c_5850,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2091,c_4917]) ).
tcf(c_5851,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2166,c_4917]) ).
tcf(c_5852,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2315,c_4917]) ).
tcf(c_5853,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2420,c_4917]) ).
tcf(c_5854,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2484,c_4917]) ).
tcf(c_5855,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3596,c_4917]) ).
tcf(c_5856,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2753,c_4917]) ).
tcf(c_5857,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2918,c_4917]) ).
tcf(c_5858,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3219,c_4917]) ).
tcf(c_5859,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3339,c_4917]) ).
tcf(c_5860,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3448,c_4917]) ).
tcf(c_5861,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3508,c_4917]) ).
tcf(c_5862,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5184,c_4917]) ).
tcf(c_5863,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3799,c_4917]) ).
tcf(c_5864,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3870,c_4917]) ).
tcf(c_5865,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4045,c_4917]) ).
tcf(c_5866,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4122,c_4917]) ).
tcf(c_5867,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4338,c_4917]) ).
tcf(c_5868,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4414,c_4917]) ).
tcf(c_5869,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4657,c_4917]) ).
tcf(c_5870,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5334,c_4917]) ).
tcf(c_5871,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5697,c_4917]) ).
tcf(c_5991,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(xa)))) = sz00,
inference(superposition,[status(thm)],[c_49,c_5023]) ).
tcf(c_5992,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_50,c_5023]) ).
tcf(c_5993,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(xp)))) = sz00,
inference(superposition,[status(thm)],[c_51,c_5023]) ).
tcf(c_5994,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(xq)))) = sz00,
inference(superposition,[status(thm)],[c_53,c_5023]) ).
tcf(c_5995,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_56,c_5023]) ).
tcf(c_5996,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sz00)))) = sz00,
inference(superposition,[status(thm)],[c_64,c_5023]) ).
tcf(c_5997,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(X0,X1))))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_5023]) ).
tcf(c_5998,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(X0))))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_5023]) ).
tcf(c_5999,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(X0,X1))))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_5023]) ).
tcf(c_6000,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_5023]) ).
tcf(c_6001,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_5023]) ).
tcf(c_6002,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_5023]) ).
tcf(c_6003,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_5023]) ).
tcf(c_6004,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_5023]) ).
tcf(c_6005,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_5023]) ).
tcf(c_6006,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_5023]) ).
tcf(c_6007,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_5023]) ).
tcf(c_6008,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_5023]) ).
tcf(c_6009,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_5023]) ).
tcf(c_6010,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_5023]) ).
tcf(c_6011,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_5023]) ).
tcf(c_6012,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_5023]) ).
tcf(c_6013,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_5023]) ).
tcf(c_6014,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_5023]) ).
tcf(c_6015,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_5023]) ).
tcf(c_6016,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_5023]) ).
tcf(c_6017,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_5023]) ).
tcf(c_6018,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_5023]) ).
tcf(c_6019,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_5023]) ).
tcf(c_6020,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_5023]) ).
tcf(c_6021,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_5023]) ).
tcf(c_6022,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_5023]) ).
tcf(c_6023,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_5023]) ).
tcf(c_6024,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_5023]) ).
tcf(c_6025,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_5023]) ).
tcf(c_6113,plain,
sdtpldt0(smndt0(smndt0(xa)),sz00) = smndt0(smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_1774]) ).
tcf(c_6114,plain,
sdtpldt0(smndt0(smndt0(xb)),sz00) = smndt0(smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_1774]) ).
tcf(c_6115,plain,
sdtpldt0(smndt0(smndt0(xp)),sz00) = smndt0(smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_1774]) ).
tcf(c_6116,plain,
sdtpldt0(smndt0(smndt0(xq)),sz00) = smndt0(smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_1774]) ).
tcf(c_6117,plain,
sdtpldt0(smndt0(smndt0(xm)),sz00) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_1774]) ).
tcf(c_6118,plain,
sdtpldt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_1774]) ).
tcf(c_6119,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),sz00) = smndt0(smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1774]) ).
tcf(c_6120,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(smndt0(X0))),sz00) = smndt0(smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1774]) ).
tcf(c_6121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),sz00) = smndt0(smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1774]) ).
tcf(c_6122,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_1774]) ).
tcf(c_6123,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xq))),sz00) = smndt0(smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_1774]) ).
tcf(c_6124,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xa))),sz00) = smndt0(smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_1774]) ).
tcf(c_6125,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,xb))),sz00) = smndt0(smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_1774]) ).
tcf(c_6126,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,xa))),sz00) = smndt0(smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_1774]) ).
tcf(c_6127,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,xm))),sz00) = smndt0(smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_1774]) ).
tcf(c_6128,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xb))),sz00) = smndt0(smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_1774]) ).
tcf(c_6129,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,xb))),sz00) = smndt0(smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_1774]) ).
tcf(c_6130,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,xm))),sz00) = smndt0(smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_1774]) ).
tcf(c_6131,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_1774]) ).
tcf(c_6132,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xm))),sz00) = smndt0(smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_1774]) ).
tcf(c_6133,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,xm))),sz00) = smndt0(smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_1774]) ).
tcf(c_6134,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,xb))),sz00) = smndt0(smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_1774]) ).
tcf(c_6135,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xa))),sz00) = smndt0(smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_1774]) ).
tcf(c_6136,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,xa))),sz00) = smndt0(smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_1774]) ).
tcf(c_6137,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,xm))),sz00) = smndt0(smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_1774]) ).
tcf(c_6138,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_1774]) ).
tcf(c_6139,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xb))),sz00) = smndt0(smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_1774]) ).
tcf(c_6140,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,xb))),sz00) = smndt0(smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_1774]) ).
tcf(c_6141,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,xm))),sz00) = smndt0(smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_1774]) ).
tcf(c_6142,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_1774]) ).
tcf(c_6143,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xq))),sz00) = smndt0(smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_1774]) ).
tcf(c_6144,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xm))),sz00) = smndt0(smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_1774]) ).
tcf(c_6145,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,xm))),sz00) = smndt0(smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_1774]) ).
tcf(c_6146,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_1774]) ).
tcf(c_6147,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_1774]) ).
tcf(c_6259,plain,
( ( xb = sz00 )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ( sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_2296,c_59]) ).
tcf(c_6260,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_2296,c_72]) ).
tcf(c_6261,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6260,c_50,c_1633]) ).
tcf(c_6262,plain,
( ( xb = sz00 )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6259,c_50,c_1633]) ).
tcf(c_6266,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_1774]) ).
tcf(c_6267,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_5023]) ).
tcf(c_6268,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6261,c_4917]) ).
tcf(c_6269,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_1038]) ).
tcf(c_6270,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_1004]) ).
tcf(c_6271,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_1582]) ).
tcf(c_6272,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6261,c_1264]) ).
tcf(c_6273,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1187]) ).
tcf(c_6274,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1186]) ).
tcf(c_6275,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1185]) ).
tcf(c_6276,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1184]) ).
tcf(c_6277,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1183]) ).
tcf(c_6278,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1182]) ).
tcf(c_6279,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1120]) ).
tcf(c_6280,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1119]) ).
tcf(c_6281,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1118]) ).
tcf(c_6282,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1117]) ).
tcf(c_6283,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1116]) ).
tcf(c_6284,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_1115]) ).
tcf(c_6285,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_951]) ).
tcf(c_6286,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_6261,c_937]) ).
tcf(c_6287,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6261,c_69]) ).
tcf(c_6288,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_923]) ).
tcf(c_6289,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6261,c_68]) ).
tcf(c_6290,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6261,c_77]) ).
tcf(c_6291,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6261,c_71]) ).
tcf(c_6292,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6261,c_909]) ).
tcf(c_6293,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6261,c_76]) ).
tcf(c_6294,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6261,c_70]) ).
tcf(c_6295,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_74]) ).
tcf(c_6296,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_73]) ).
tcf(c_6297,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))) = sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_6261,c_63]) ).
tcf(c_6298,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_6261,c_62]) ).
tcf(c_6299,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_61]) ).
tcf(c_6300,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6261,c_60]) ).
tcf(c_6369,plain,
sdtpldt0(sz00,smndt0(smndt0(xa))) = smndt0(smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_1835]) ).
tcf(c_6370,plain,
sdtpldt0(sz00,smndt0(smndt0(xb))) = smndt0(smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_1835]) ).
tcf(c_6371,plain,
sdtpldt0(sz00,smndt0(smndt0(xp))) = smndt0(smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_1835]) ).
tcf(c_6372,plain,
sdtpldt0(sz00,smndt0(smndt0(xq))) = smndt0(smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_1835]) ).
tcf(c_6373,plain,
sdtpldt0(sz00,smndt0(smndt0(xm))) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_1835]) ).
tcf(c_6374,plain,
sdtpldt0(sz00,smndt0(smndt0(sz00))) = smndt0(smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_1835]) ).
tcf(c_6375,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(X0,X1)))) = smndt0(smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1835]) ).
tcf(c_6376,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(X0)))) = smndt0(smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1835]) ).
tcf(c_6377,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(X0,X1)))) = smndt0(smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1835]) ).
tcf(c_6378,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xb))))) = smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_1835]) ).
tcf(c_6379,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,xq)))) = smndt0(smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_1835]) ).
tcf(c_6380,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,xa)))) = smndt0(smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_1835]) ).
tcf(c_6381,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,xb)))) = smndt0(smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_1835]) ).
tcf(c_6382,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,xa)))) = smndt0(smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_1835]) ).
tcf(c_6383,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,xm)))) = smndt0(smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_1835]) ).
tcf(c_6384,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,xb)))) = smndt0(smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_1835]) ).
tcf(c_6385,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,xb)))) = smndt0(smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_1835]) ).
tcf(c_6386,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,xm)))) = smndt0(smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_1835]) ).
tcf(c_6387,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_1835]) ).
tcf(c_6388,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,xm)))) = smndt0(smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_1835]) ).
tcf(c_6389,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,xm)))) = smndt0(smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_1835]) ).
tcf(c_6390,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,xb)))) = smndt0(smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_1835]) ).
tcf(c_6391,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,xa)))) = smndt0(smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_1835]) ).
tcf(c_6392,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,xa)))) = smndt0(smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_1835]) ).
tcf(c_6393,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,xm)))) = smndt0(smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_1835]) ).
tcf(c_6394,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_1835]) ).
tcf(c_6395,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,xb)))) = smndt0(smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_1835]) ).
tcf(c_6396,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,xb)))) = smndt0(smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_1835]) ).
tcf(c_6397,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,xm)))) = smndt0(smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_1835]) ).
tcf(c_6398,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_1835]) ).
tcf(c_6399,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,xq)))) = smndt0(smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_1835]) ).
tcf(c_6400,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,xm)))) = smndt0(smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_1835]) ).
tcf(c_6401,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,xm)))) = smndt0(smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_1835]) ).
tcf(c_6402,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_1835]) ).
tcf(c_6403,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_1835]) ).
tcf(c_6404,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_1835]) ).
tcf(c_6468,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xa) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xa))
| ( sdtasdt0(xb,sdtasdt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2297,c_59]) ).
tcf(c_6469,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xp,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_2297,c_72]) ).
tcf(c_6470,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_6469,c_50,c_1975]) ).
tcf(c_6471,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xa) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6468,c_50,c_1975]) ).
tcf(c_6475,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_1835]) ).
tcf(c_6476,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_1774]) ).
tcf(c_6477,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_5023]) ).
tcf(c_6478,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6470,c_4917]) ).
tcf(c_6479,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_1038]) ).
tcf(c_6480,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_1004]) ).
tcf(c_6481,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_1582]) ).
tcf(c_6482,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6470,c_1264]) ).
tcf(c_6483,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1187]) ).
tcf(c_6484,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1186]) ).
tcf(c_6485,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1185]) ).
tcf(c_6486,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1184]) ).
tcf(c_6487,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1183]) ).
tcf(c_6488,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1182]) ).
tcf(c_6489,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1120]) ).
tcf(c_6490,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1119]) ).
tcf(c_6491,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1118]) ).
tcf(c_6492,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1117]) ).
tcf(c_6493,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1116]) ).
tcf(c_6494,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_1115]) ).
tcf(c_6495,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_951]) ).
tcf(c_6496,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_6470,c_937]) ).
tcf(c_6497,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6470,c_69]) ).
tcf(c_6498,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_923]) ).
tcf(c_6499,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6470,c_68]) ).
tcf(c_6500,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6470,c_77]) ).
tcf(c_6501,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6470,c_71]) ).
tcf(c_6502,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6470,c_909]) ).
tcf(c_6503,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6470,c_76]) ).
tcf(c_6504,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6470,c_70]) ).
tcf(c_6505,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),sdtasdt0(xb,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_74]) ).
tcf(c_6506,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_73]) ).
tcf(c_6507,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xa))) = sdtasdt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6470,c_63]) ).
tcf(c_6508,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xa)),sz00) = sdtasdt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6470,c_62]) ).
tcf(c_6509,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_61]) ).
tcf(c_6510,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6470,c_60]) ).
tcf(c_7639,plain,
sdtasdt0(smndt0(xa),xa) = sdtasdt0(xa,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_1883]) ).
tcf(c_7640,plain,
sdtasdt0(smndt0(xb),xa) = sdtasdt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_1883]) ).
tcf(c_7641,plain,
sdtasdt0(smndt0(xp),xa) = sdtasdt0(xa,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_1883]) ).
tcf(c_7642,plain,
sdtasdt0(smndt0(xq),xa) = sdtasdt0(xa,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_1883]) ).
tcf(c_7643,plain,
sdtasdt0(smndt0(xm),xa) = sdtasdt0(xa,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_1883]) ).
tcf(c_7644,plain,
sdtasdt0(smndt0(sz00),xa) = sdtasdt0(xa,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_1883]) ).
tcf(c_7645,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_1883]) ).
tcf(c_7646,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),xa) = sdtasdt0(xa,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1883]) ).
tcf(c_7647,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1883]) ).
tcf(c_7648,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_1883]) ).
tcf(c_7649,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_1883]) ).
tcf(c_7650,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_1883]) ).
tcf(c_7651,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_1883]) ).
tcf(c_7652,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_1883]) ).
tcf(c_7653,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_1883]) ).
tcf(c_7654,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_1883]) ).
tcf(c_7655,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_1883]) ).
tcf(c_7656,plain,
sdtasdt0(smndt0(sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_1883]) ).
tcf(c_7657,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_1883]) ).
tcf(c_7658,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_1883]) ).
tcf(c_7659,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_1883]) ).
tcf(c_7660,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_1883]) ).
tcf(c_7661,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_1883]) ).
tcf(c_7662,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_1883]) ).
tcf(c_7663,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_1883]) ).
tcf(c_7664,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_1883]) ).
tcf(c_7665,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_1883]) ).
tcf(c_7666,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_1883]) ).
tcf(c_7667,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_1883]) ).
tcf(c_7668,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_1883]) ).
tcf(c_7669,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_1883]) ).
tcf(c_7670,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_1883]) ).
tcf(c_7671,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_1883]) ).
tcf(c_7672,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_1883]) ).
tcf(c_7673,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_1883]) ).
tcf(c_7674,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_1883]) ).
tcf(c_7675,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_1883]) ).
tcf(c_7778,plain,
( ( xa = sz00 )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xa,smndt0(xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7639,c_59]) ).
tcf(c_7779,plain,
( aInteger0(sdtasdt0(xa,smndt0(xa)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7639,c_72]) ).
tcf(c_7780,plain,
( aInteger0(sdtasdt0(xa,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7779,c_49]) ).
tcf(c_7783,plain,
( ( xa = sz00 )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xa,smndt0(xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7778,c_49]) ).
tcf(c_7792,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1883]) ).
tcf(c_7793,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xa))))) = smndt0(smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1835]) ).
tcf(c_7794,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xa)))),sz00) = smndt0(smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1774]) ).
tcf(c_7795,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_5023]) ).
tcf(c_7796,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_4917]) ).
tcf(c_7797,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xa)))),smndt0(sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1038]) ).
tcf(c_7798,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),smndt0(smndt0(sdtasdt0(xa,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1004]) ).
tcf(c_7799,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1582]) ).
tcf(c_7800,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1264]) ).
tcf(c_7801,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1187]) ).
tcf(c_7802,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),xm) = sdtpldt0(xm,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1186]) ).
tcf(c_7803,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),xq) = sdtpldt0(xq,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1185]) ).
tcf(c_7804,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),xp) = sdtpldt0(xp,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1184]) ).
tcf(c_7805,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),xb) = sdtpldt0(xb,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1183]) ).
tcf(c_7806,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),xa) = sdtpldt0(xa,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1182]) ).
tcf(c_7807,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1120]) ).
tcf(c_7808,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),xm) = sdtasdt0(xm,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1119]) ).
tcf(c_7809,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),xq) = sdtasdt0(xq,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1118]) ).
tcf(c_7810,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),xp) = sdtasdt0(xp,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1117]) ).
tcf(c_7811,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),xb) = sdtasdt0(xb,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1116]) ).
tcf(c_7812,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),xa) = sdtasdt0(xa,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_1115]) ).
tcf(c_7813,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xa)))) = smndt0(sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_951]) ).
tcf(c_7814,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),sz00) = smndt0(sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_937]) ).
tcf(c_7815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_69]) ).
tcf(c_7816,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_923]) ).
tcf(c_7817,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xa)),X0),sdtasdt0(sdtasdt0(xa,smndt0(xa)),X1)) = sdtasdt0(sdtasdt0(xa,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_68]) ).
tcf(c_7818,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,smndt0(xa)),X0),X1) = sdtpldt0(sdtasdt0(xa,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_77]) ).
tcf(c_7819,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,smndt0(xa)),X0),X1) = sdtasdt0(sdtasdt0(xa,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_71]) ).
tcf(c_7820,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_909]) ).
tcf(c_7821,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),X0) = sdtpldt0(X0,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_76]) ).
tcf(c_7822,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),X0) = sdtasdt0(X0,sdtasdt0(xa,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_70]) ).
tcf(c_7823,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),sdtasdt0(xa,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_74]) ).
tcf(c_7824,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),smndt0(sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_73]) ).
tcf(c_7825,plain,
( ( sdtpldt0(sz00,sdtasdt0(xa,smndt0(xa))) = sdtasdt0(xa,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_63]) ).
tcf(c_7826,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xa)),sz00) = sdtasdt0(xa,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_62]) ).
tcf(c_7827,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_61]) ).
tcf(c_7828,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_60]) ).
tcf(c_7961,plain,
( ( xa = sz00 )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xa,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7640,c_59]) ).
tcf(c_7962,plain,
( aInteger0(sdtasdt0(xa,smndt0(xb)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_7640,c_72]) ).
tcf(c_7963,plain,
( aInteger0(sdtasdt0(xa,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7962,c_49]) ).
tcf(c_7966,plain,
( ( xa = sz00 )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xa,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7961,c_49]) ).
tcf(c_7971,plain,
aInteger0(sdtasdt0(xa,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_7963,c_50,c_1168,c_7963]) ).
tcf(c_7973,plain,
sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_1883]) ).
tcf(c_7974,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xb))))) = smndt0(smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_1835]) ).
tcf(c_7975,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xb)))),sz00) = smndt0(smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_1774]) ).
tcf(c_7976,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_5023]) ).
tcf(c_7977,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7971,c_4917]) ).
tcf(c_7978,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xb)))),smndt0(sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_1038]) ).
tcf(c_7979,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),smndt0(smndt0(sdtasdt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_1004]) ).
tcf(c_7980,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_1582]) ).
tcf(c_7981,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7971,c_1264]) ).
tcf(c_7982,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1187]) ).
tcf(c_7983,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),xm) = sdtpldt0(xm,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1186]) ).
tcf(c_7984,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),xq) = sdtpldt0(xq,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1185]) ).
tcf(c_7985,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),xp) = sdtpldt0(xp,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1184]) ).
tcf(c_7986,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),xb) = sdtpldt0(xb,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1183]) ).
tcf(c_7987,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),xa) = sdtpldt0(xa,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1182]) ).
tcf(c_7988,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1120]) ).
tcf(c_7989,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xb)),xm) = sdtasdt0(xm,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1119]) ).
tcf(c_7990,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xb)),xq) = sdtasdt0(xq,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1118]) ).
tcf(c_7991,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xb)),xp) = sdtasdt0(xp,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1117]) ).
tcf(c_7992,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xb)),xb) = sdtasdt0(xb,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1116]) ).
tcf(c_7993,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xb)),xa) = sdtasdt0(xa,sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_1115]) ).
tcf(c_7994,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xb)))) = smndt0(sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_951]) ).
tcf(c_7995,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),sz00) = smndt0(sdtasdt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_7971,c_937]) ).
tcf(c_7996,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7971,c_69]) ).
tcf(c_7997,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_923]) ).
tcf(c_7998,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xb)),X0),sdtasdt0(sdtasdt0(xa,smndt0(xb)),X1)) = sdtasdt0(sdtasdt0(xa,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7971,c_68]) ).
tcf(c_7999,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,smndt0(xb)),X0),X1) = sdtpldt0(sdtasdt0(xa,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7971,c_77]) ).
tcf(c_8000,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,smndt0(xb)),X0),X1) = sdtasdt0(sdtasdt0(xa,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7971,c_71]) ).
tcf(c_8001,plain,
sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7971,c_909]) ).
tcf(c_8002,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,smndt0(xb)),X0) = sdtpldt0(X0,sdtasdt0(xa,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7971,c_76]) ).
tcf(c_8003,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,smndt0(xb)),X0) = sdtasdt0(X0,sdtasdt0(xa,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7971,c_70]) ).
tcf(c_8004,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),sdtasdt0(xa,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_74]) ).
tcf(c_8005,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),smndt0(sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_73]) ).
tcf(c_8006,plain,
sdtpldt0(sz00,sdtasdt0(xa,smndt0(xb))) = sdtasdt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_7971,c_63]) ).
tcf(c_8007,plain,
sdtpldt0(sdtasdt0(xa,smndt0(xb)),sz00) = sdtasdt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_7971,c_62]) ).
tcf(c_8008,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_61]) ).
tcf(c_8009,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7971,c_60]) ).
tcf(c_8032,plain,
( aInteger0(sdtasdt0(xq,smndt0(xb)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xb)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_8035,plain,
( aInteger0(sdtasdt0(xp,smndt0(xb)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xb)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_8066,plain,
( ( xa = sz00 )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xa,smndt0(xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7641,c_59]) ).
tcf(c_8067,plain,
( aInteger0(sdtasdt0(xa,smndt0(xp)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_7641,c_72]) ).
tcf(c_8068,plain,
( aInteger0(sdtasdt0(xa,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8067,c_49]) ).
tcf(c_8071,plain,
( ( xa = sz00 )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xa,smndt0(xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8066,c_49]) ).
tcf(c_8080,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1883]) ).
tcf(c_8081,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xp))))) = smndt0(smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1835]) ).
tcf(c_8082,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xp)))),sz00) = smndt0(smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1774]) ).
tcf(c_8083,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_5023]) ).
tcf(c_8084,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_4917]) ).
tcf(c_8085,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xp)))),smndt0(sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1038]) ).
tcf(c_8086,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),smndt0(smndt0(sdtasdt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1004]) ).
tcf(c_8087,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1582]) ).
tcf(c_8088,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1264]) ).
tcf(c_8089,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1187]) ).
tcf(c_8090,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),xm) = sdtpldt0(xm,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1186]) ).
tcf(c_8091,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),xq) = sdtpldt0(xq,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1185]) ).
tcf(c_8092,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),xp) = sdtpldt0(xp,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1184]) ).
tcf(c_8093,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),xb) = sdtpldt0(xb,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1183]) ).
tcf(c_8094,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),xa) = sdtpldt0(xa,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1182]) ).
tcf(c_8095,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1120]) ).
tcf(c_8096,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),xm) = sdtasdt0(xm,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1119]) ).
tcf(c_8097,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),xq) = sdtasdt0(xq,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1118]) ).
tcf(c_8098,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),xp) = sdtasdt0(xp,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1117]) ).
tcf(c_8099,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),xb) = sdtasdt0(xb,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1116]) ).
tcf(c_8100,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),xa) = sdtasdt0(xa,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_1115]) ).
tcf(c_8101,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xp)))) = smndt0(sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_951]) ).
tcf(c_8102,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),sz00) = smndt0(sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_937]) ).
tcf(c_8103,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_69]) ).
tcf(c_8104,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_923]) ).
tcf(c_8105,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xp)),X0),sdtasdt0(sdtasdt0(xa,smndt0(xp)),X1)) = sdtasdt0(sdtasdt0(xa,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_68]) ).
tcf(c_8106,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(xa,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_77]) ).
tcf(c_8107,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,smndt0(xp)),X0),X1) = sdtasdt0(sdtasdt0(xa,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_71]) ).
tcf(c_8108,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_909]) ).
tcf(c_8109,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),X0) = sdtpldt0(X0,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_76]) ).
tcf(c_8110,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),X0) = sdtasdt0(X0,sdtasdt0(xa,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_70]) ).
tcf(c_8111,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),sdtasdt0(xa,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_74]) ).
tcf(c_8112,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),smndt0(sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_73]) ).
tcf(c_8113,plain,
( ( sdtpldt0(sz00,sdtasdt0(xa,smndt0(xp))) = sdtasdt0(xa,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_63]) ).
tcf(c_8114,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xp)),sz00) = sdtasdt0(xa,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_62]) ).
tcf(c_8115,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_61]) ).
tcf(c_8116,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_60]) ).
tcf(c_8295,plain,
( ( xa = sz00 )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xa,smndt0(xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7642,c_59]) ).
tcf(c_8296,plain,
( aInteger0(sdtasdt0(xa,smndt0(xq)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_7642,c_72]) ).
tcf(c_8297,plain,
( aInteger0(sdtasdt0(xa,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8296,c_49]) ).
tcf(c_8300,plain,
( ( xa = sz00 )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xa,smndt0(xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8295,c_49]) ).
tcf(c_8309,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1883]) ).
tcf(c_8310,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xq))))) = smndt0(smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1835]) ).
tcf(c_8311,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xq)))),sz00) = smndt0(smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1774]) ).
tcf(c_8312,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_5023]) ).
tcf(c_8313,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_4917]) ).
tcf(c_8314,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xq)))),smndt0(sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1038]) ).
tcf(c_8315,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),smndt0(smndt0(sdtasdt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1004]) ).
tcf(c_8316,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1582]) ).
tcf(c_8317,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1264]) ).
tcf(c_8318,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1187]) ).
tcf(c_8319,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),xm) = sdtpldt0(xm,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1186]) ).
tcf(c_8320,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),xq) = sdtpldt0(xq,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1185]) ).
tcf(c_8321,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),xp) = sdtpldt0(xp,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1184]) ).
tcf(c_8322,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),xb) = sdtpldt0(xb,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1183]) ).
tcf(c_8323,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),xa) = sdtpldt0(xa,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1182]) ).
tcf(c_8324,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1120]) ).
tcf(c_8325,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),xm) = sdtasdt0(xm,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1119]) ).
tcf(c_8326,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),xq) = sdtasdt0(xq,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1118]) ).
tcf(c_8327,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),xp) = sdtasdt0(xp,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1117]) ).
tcf(c_8328,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),xb) = sdtasdt0(xb,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1116]) ).
tcf(c_8329,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),xa) = sdtasdt0(xa,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_1115]) ).
tcf(c_8330,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xq)))) = smndt0(sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_951]) ).
tcf(c_8331,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),sz00) = smndt0(sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_937]) ).
tcf(c_8332,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_69]) ).
tcf(c_8333,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_923]) ).
tcf(c_8334,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xq)),X0),sdtasdt0(sdtasdt0(xa,smndt0(xq)),X1)) = sdtasdt0(sdtasdt0(xa,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_68]) ).
tcf(c_8335,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,smndt0(xq)),X0),X1) = sdtpldt0(sdtasdt0(xa,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_77]) ).
tcf(c_8336,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,smndt0(xq)),X0),X1) = sdtasdt0(sdtasdt0(xa,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_71]) ).
tcf(c_8337,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_909]) ).
tcf(c_8338,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),X0) = sdtpldt0(X0,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_76]) ).
tcf(c_8339,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),X0) = sdtasdt0(X0,sdtasdt0(xa,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_70]) ).
tcf(c_8340,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),sdtasdt0(xa,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_74]) ).
tcf(c_8341,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),smndt0(sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_73]) ).
tcf(c_8342,plain,
( ( sdtpldt0(sz00,sdtasdt0(xa,smndt0(xq))) = sdtasdt0(xa,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_63]) ).
tcf(c_8343,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xq)),sz00) = sdtasdt0(xa,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_62]) ).
tcf(c_8344,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_61]) ).
tcf(c_8345,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_60]) ).
tcf(c_8485,plain,
( ( xa = sz00 )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xa,smndt0(xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7643,c_59]) ).
tcf(c_8486,plain,
( aInteger0(sdtasdt0(xa,smndt0(xm)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_7643,c_72]) ).
tcf(c_8487,plain,
( aInteger0(sdtasdt0(xa,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8486,c_49]) ).
tcf(c_8490,plain,
( ( xa = sz00 )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xa,smndt0(xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8485,c_49]) ).
tcf(c_8502,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1883]) ).
tcf(c_8503,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xm))))) = smndt0(smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1835]) ).
tcf(c_8504,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1774]) ).
tcf(c_8505,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_5023]) ).
tcf(c_8506,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_4917]) ).
tcf(c_8507,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xm)))),smndt0(sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1038]) ).
tcf(c_8508,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),smndt0(smndt0(sdtasdt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1004]) ).
tcf(c_8509,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1582]) ).
tcf(c_8510,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1264]) ).
tcf(c_8511,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1187]) ).
tcf(c_8512,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1186]) ).
tcf(c_8513,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1185]) ).
tcf(c_8514,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1184]) ).
tcf(c_8515,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1183]) ).
tcf(c_8516,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1182]) ).
tcf(c_8517,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1120]) ).
tcf(c_8518,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1119]) ).
tcf(c_8519,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1118]) ).
tcf(c_8520,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1117]) ).
tcf(c_8521,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1116]) ).
tcf(c_8522,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_1115]) ).
tcf(c_8523,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xm)))) = smndt0(sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_951]) ).
tcf(c_8524,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),sz00) = smndt0(sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_937]) ).
tcf(c_8525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_69]) ).
tcf(c_8526,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_923]) ).
tcf(c_8527,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,smndt0(xm)),X0),sdtasdt0(sdtasdt0(xa,smndt0(xm)),X1)) = sdtasdt0(sdtasdt0(xa,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_68]) ).
tcf(c_8528,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,smndt0(xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_77]) ).
tcf(c_8529,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,smndt0(xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_71]) ).
tcf(c_8530,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_909]) ).
tcf(c_8531,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_76]) ).
tcf(c_8532,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_70]) ).
tcf(c_8533,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),sdtasdt0(xa,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_74]) ).
tcf(c_8534,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),smndt0(sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_73]) ).
tcf(c_8535,plain,
( ( sdtpldt0(sz00,sdtasdt0(xa,smndt0(xm))) = sdtasdt0(xa,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_63]) ).
tcf(c_8536,plain,
( ( sdtpldt0(sdtasdt0(xa,smndt0(xm)),sz00) = sdtasdt0(xa,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_62]) ).
tcf(c_8537,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_61]) ).
tcf(c_8538,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_60]) ).
tcf(c_8669,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,xb))
| ( sdtasdt0(xb,sdtasdt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2298,c_59]) ).
tcf(c_8670,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xa,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_2298,c_72]) ).
tcf(c_8671,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_8670,c_50,c_1914]) ).
tcf(c_8672,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,xb) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8669,c_50,c_1914]) ).
tcf(c_8676,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_1883]) ).
tcf(c_8677,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_1835]) ).
tcf(c_8678,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_1774]) ).
tcf(c_8679,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_5023]) ).
tcf(c_8680,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8671,c_4917]) ).
tcf(c_8681,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_1038]) ).
tcf(c_8682,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_1004]) ).
tcf(c_8683,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_1582]) ).
tcf(c_8684,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8671,c_1264]) ).
tcf(c_8685,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1187]) ).
tcf(c_8686,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1186]) ).
tcf(c_8687,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1185]) ).
tcf(c_8688,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1184]) ).
tcf(c_8689,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1183]) ).
tcf(c_8690,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1182]) ).
tcf(c_8691,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1120]) ).
tcf(c_8692,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1119]) ).
tcf(c_8693,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1118]) ).
tcf(c_8694,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1117]) ).
tcf(c_8695,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1116]) ).
tcf(c_8696,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_1115]) ).
tcf(c_8697,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))) = smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_951]) ).
tcf(c_8698,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_8671,c_937]) ).
tcf(c_8699,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8671,c_69]) ).
tcf(c_8700,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_923]) ).
tcf(c_8701,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8671,c_68]) ).
tcf(c_8702,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8671,c_77]) ).
tcf(c_8703,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8671,c_71]) ).
tcf(c_8704,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8671,c_909]) ).
tcf(c_8705,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8671,c_76]) ).
tcf(c_8706,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8671,c_70]) ).
tcf(c_8707,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),sdtasdt0(xb,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_74]) ).
tcf(c_8708,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_73]) ).
tcf(c_8709,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xb))) = sdtasdt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_8671,c_63]) ).
tcf(c_8710,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xb)),sz00) = sdtasdt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_8671,c_62]) ).
tcf(c_8711,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_61]) ).
tcf(c_8712,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8671,c_60]) ).
tcf(c_8840,plain,
( ( xb = sz00 )
| ( sdtasdt0(xq,xa) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xa))
| ( sdtasdt0(xb,sdtasdt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2299,c_59]) ).
tcf(c_8841,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xq,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_2299,c_72]) ).
tcf(c_8842,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_8841,c_50,c_2091]) ).
tcf(c_8843,plain,
( ( xb = sz00 )
| ( sdtasdt0(xq,xa) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8840,c_50,c_2091]) ).
tcf(c_8847,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_1883]) ).
tcf(c_8848,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_1835]) ).
tcf(c_8849,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_1774]) ).
tcf(c_8850,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_5023]) ).
tcf(c_8851,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8842,c_4917]) ).
tcf(c_8852,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_1038]) ).
tcf(c_8853,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_1004]) ).
tcf(c_8854,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_1582]) ).
tcf(c_8855,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8842,c_1264]) ).
tcf(c_8856,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1187]) ).
tcf(c_8857,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1186]) ).
tcf(c_8858,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1185]) ).
tcf(c_8859,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1184]) ).
tcf(c_8860,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1183]) ).
tcf(c_8861,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1182]) ).
tcf(c_8862,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1120]) ).
tcf(c_8863,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1119]) ).
tcf(c_8864,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1118]) ).
tcf(c_8865,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1117]) ).
tcf(c_8866,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1116]) ).
tcf(c_8867,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_1115]) ).
tcf(c_8868,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))) = smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_951]) ).
tcf(c_8869,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_8842,c_937]) ).
tcf(c_8870,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8842,c_69]) ).
tcf(c_8871,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_923]) ).
tcf(c_8872,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8842,c_68]) ).
tcf(c_8873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8842,c_77]) ).
tcf(c_8874,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8842,c_71]) ).
tcf(c_8875,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8842,c_909]) ).
tcf(c_8876,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8842,c_76]) ).
tcf(c_8877,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8842,c_70]) ).
tcf(c_8878,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),sdtasdt0(xb,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_74]) ).
tcf(c_8879,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_73]) ).
tcf(c_8880,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xa))) = sdtasdt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_8842,c_63]) ).
tcf(c_8881,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xa)),sz00) = sdtasdt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_8842,c_62]) ).
tcf(c_8882,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_61]) ).
tcf(c_8883,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8842,c_60]) ).
tcf(c_8941,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,xm))
| ( sdtasdt0(xb,sdtasdt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2300,c_59]) ).
tcf(c_8942,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xa,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_2300,c_72]) ).
tcf(c_8943,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_8942,c_50,c_2166]) ).
tcf(c_8944,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,xm) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8941,c_50,c_2166]) ).
tcf(c_8948,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_1883]) ).
tcf(c_8949,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_1835]) ).
tcf(c_8950,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_1774]) ).
tcf(c_8951,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_5023]) ).
tcf(c_8952,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8943,c_4917]) ).
tcf(c_8953,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_1038]) ).
tcf(c_8954,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_1004]) ).
tcf(c_8955,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_1582]) ).
tcf(c_8956,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8943,c_1264]) ).
tcf(c_8957,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1187]) ).
tcf(c_8958,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1186]) ).
tcf(c_8959,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1185]) ).
tcf(c_8960,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1184]) ).
tcf(c_8961,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1183]) ).
tcf(c_8962,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1182]) ).
tcf(c_8963,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1120]) ).
tcf(c_8964,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1119]) ).
tcf(c_8965,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1118]) ).
tcf(c_8966,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1117]) ).
tcf(c_8967,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1116]) ).
tcf(c_8968,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_1115]) ).
tcf(c_8969,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))) = smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_951]) ).
tcf(c_8970,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_8943,c_937]) ).
tcf(c_8971,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8943,c_69]) ).
tcf(c_8972,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_923]) ).
tcf(c_8973,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8943,c_68]) ).
tcf(c_8974,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8943,c_77]) ).
tcf(c_8975,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8943,c_71]) ).
tcf(c_8976,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8943,c_909]) ).
tcf(c_8977,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8943,c_76]) ).
tcf(c_8978,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8943,c_70]) ).
tcf(c_8979,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),sdtasdt0(xb,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_74]) ).
tcf(c_8980,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_73]) ).
tcf(c_8981,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xm))) = sdtasdt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_8943,c_63]) ).
tcf(c_8982,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,xm)),sz00) = sdtasdt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_8943,c_62]) ).
tcf(c_8983,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_61]) ).
tcf(c_8984,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8943,c_60]) ).
tcf(c_9092,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xb))
| ( sdtasdt0(xb,sdtasdt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2326,c_59]) ).
tcf(c_9093,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xp,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_2326,c_72]) ).
tcf(c_9094,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_9093,c_50,c_2315]) ).
tcf(c_9095,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xb) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9092,c_50,c_2315]) ).
tcf(c_9099,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_1883]) ).
tcf(c_9100,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_1835]) ).
tcf(c_9101,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_1774]) ).
tcf(c_9102,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_5023]) ).
tcf(c_9103,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9094,c_4917]) ).
tcf(c_9104,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_1038]) ).
tcf(c_9105,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_1004]) ).
tcf(c_9106,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_1582]) ).
tcf(c_9107,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9094,c_1264]) ).
tcf(c_9108,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1187]) ).
tcf(c_9109,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1186]) ).
tcf(c_9110,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1185]) ).
tcf(c_9111,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1184]) ).
tcf(c_9112,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1183]) ).
tcf(c_9113,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1182]) ).
tcf(c_9114,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1120]) ).
tcf(c_9115,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1119]) ).
tcf(c_9116,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1118]) ).
tcf(c_9117,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1117]) ).
tcf(c_9118,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1116]) ).
tcf(c_9119,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_1115]) ).
tcf(c_9120,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_951]) ).
tcf(c_9121,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9094,c_937]) ).
tcf(c_9122,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9094,c_69]) ).
tcf(c_9123,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_923]) ).
tcf(c_9124,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9094,c_68]) ).
tcf(c_9125,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9094,c_77]) ).
tcf(c_9126,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9094,c_71]) ).
tcf(c_9127,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9094,c_909]) ).
tcf(c_9128,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9094,c_76]) ).
tcf(c_9129,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9094,c_70]) ).
tcf(c_9130,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),sdtasdt0(xb,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_74]) ).
tcf(c_9131,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_73]) ).
tcf(c_9132,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xb))) = sdtasdt0(xb,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_9094,c_63]) ).
tcf(c_9133,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xb)),sz00) = sdtasdt0(xb,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_9094,c_62]) ).
tcf(c_9134,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_61]) ).
tcf(c_9135,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9094,c_60]) ).
tcf(c_9286,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xb) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xb))
| ( sdtasdt0(xa,sdtasdt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2327,c_59]) ).
tcf(c_9287,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xp,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_2327,c_72]) ).
tcf(c_9288,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_9287,c_49,c_2315]) ).
tcf(c_9289,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xb) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9286,c_49,c_2315]) ).
tcf(c_9293,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_1883]) ).
tcf(c_9294,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_1835]) ).
tcf(c_9295,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_1774]) ).
tcf(c_9296,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_5023]) ).
tcf(c_9297,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9288,c_4917]) ).
tcf(c_9298,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_1038]) ).
tcf(c_9299,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_1004]) ).
tcf(c_9300,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_1582]) ).
tcf(c_9301,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9288,c_1264]) ).
tcf(c_9302,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1187]) ).
tcf(c_9303,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1186]) ).
tcf(c_9304,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1185]) ).
tcf(c_9305,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1184]) ).
tcf(c_9306,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1183]) ).
tcf(c_9307,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1182]) ).
tcf(c_9308,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1120]) ).
tcf(c_9309,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1119]) ).
tcf(c_9310,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1118]) ).
tcf(c_9311,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1117]) ).
tcf(c_9312,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1116]) ).
tcf(c_9313,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_1115]) ).
tcf(c_9314,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_951]) ).
tcf(c_9315,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_9288,c_937]) ).
tcf(c_9316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9288,c_69]) ).
tcf(c_9317,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_923]) ).
tcf(c_9318,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9288,c_68]) ).
tcf(c_9319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9288,c_77]) ).
tcf(c_9320,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9288,c_71]) ).
tcf(c_9321,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9288,c_909]) ).
tcf(c_9322,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9288,c_76]) ).
tcf(c_9323,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9288,c_70]) ).
tcf(c_9324,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),sdtasdt0(xa,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_74]) ).
tcf(c_9325,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_73]) ).
tcf(c_9326,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xb))) = sdtasdt0(xa,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_9288,c_63]) ).
tcf(c_9327,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xb)),sz00) = sdtasdt0(xa,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_9288,c_62]) ).
tcf(c_9328,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_61]) ).
tcf(c_9329,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9288,c_60]) ).
tcf(c_9368,plain,
( ( xb = sz00 )
| ( sdtasdt0(xq,xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xb))
| ( sdtasdt0(xb,sdtasdt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2424,c_59]) ).
tcf(c_9369,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xq,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_2424,c_72]) ).
tcf(c_9370,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_9369,c_50,c_2420]) ).
tcf(c_9371,plain,
( ( xb = sz00 )
| ( sdtasdt0(xq,xb) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9368,c_50,c_2420]) ).
tcf(c_9375,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_1883]) ).
tcf(c_9376,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_1835]) ).
tcf(c_9377,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_1774]) ).
tcf(c_9378,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_5023]) ).
tcf(c_9379,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9370,c_4917]) ).
tcf(c_9380,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_1038]) ).
tcf(c_9381,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_1004]) ).
tcf(c_9382,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_1582]) ).
tcf(c_9383,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9370,c_1264]) ).
tcf(c_9384,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1187]) ).
tcf(c_9385,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1186]) ).
tcf(c_9386,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1185]) ).
tcf(c_9387,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1184]) ).
tcf(c_9388,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1183]) ).
tcf(c_9389,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1182]) ).
tcf(c_9390,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1120]) ).
tcf(c_9391,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1119]) ).
tcf(c_9392,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1118]) ).
tcf(c_9393,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1117]) ).
tcf(c_9394,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1116]) ).
tcf(c_9395,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_1115]) ).
tcf(c_9396,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))) = smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_951]) ).
tcf(c_9397,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9370,c_937]) ).
tcf(c_9398,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9370,c_69]) ).
tcf(c_9399,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_923]) ).
tcf(c_9400,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9370,c_68]) ).
tcf(c_9401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9370,c_77]) ).
tcf(c_9402,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9370,c_71]) ).
tcf(c_9403,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9370,c_909]) ).
tcf(c_9404,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9370,c_76]) ).
tcf(c_9405,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9370,c_70]) ).
tcf(c_9406,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),sdtasdt0(xb,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_74]) ).
tcf(c_9407,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_73]) ).
tcf(c_9408,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xb))) = sdtasdt0(xb,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_9370,c_63]) ).
tcf(c_9409,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xb)),sz00) = sdtasdt0(xb,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_9370,c_62]) ).
tcf(c_9410,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_61]) ).
tcf(c_9411,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9370,c_60]) ).
tcf(c_9493,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xb) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xb))
| ( sdtasdt0(xa,sdtasdt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2425,c_59]) ).
tcf(c_9494,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xq,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_2425,c_72]) ).
tcf(c_9495,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_9494,c_49,c_2420]) ).
tcf(c_9496,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xb) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9493,c_49,c_2420]) ).
tcf(c_9500,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_1883]) ).
tcf(c_9501,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_1835]) ).
tcf(c_9502,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_1774]) ).
tcf(c_9503,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_5023]) ).
tcf(c_9504,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9495,c_4917]) ).
tcf(c_9505,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_1038]) ).
tcf(c_9506,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_1004]) ).
tcf(c_9507,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_1582]) ).
tcf(c_9508,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9495,c_1264]) ).
tcf(c_9509,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1187]) ).
tcf(c_9510,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1186]) ).
tcf(c_9511,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1185]) ).
tcf(c_9512,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1184]) ).
tcf(c_9513,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1183]) ).
tcf(c_9514,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1182]) ).
tcf(c_9515,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1120]) ).
tcf(c_9516,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1119]) ).
tcf(c_9517,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1118]) ).
tcf(c_9518,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1117]) ).
tcf(c_9519,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1116]) ).
tcf(c_9520,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_1115]) ).
tcf(c_9521,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))) = smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_951]) ).
tcf(c_9522,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_9495,c_937]) ).
tcf(c_9523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9495,c_69]) ).
tcf(c_9524,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_923]) ).
tcf(c_9525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9495,c_68]) ).
tcf(c_9526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9495,c_77]) ).
tcf(c_9527,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9495,c_71]) ).
tcf(c_9528,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9495,c_909]) ).
tcf(c_9529,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9495,c_76]) ).
tcf(c_9530,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9495,c_70]) ).
tcf(c_9531,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),sdtasdt0(xa,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_74]) ).
tcf(c_9532,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_73]) ).
tcf(c_9533,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xb))) = sdtasdt0(xa,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_9495,c_63]) ).
tcf(c_9534,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xb)),sz00) = sdtasdt0(xa,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_9495,c_62]) ).
tcf(c_9535,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_61]) ).
tcf(c_9536,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9495,c_60]) ).
tcf(c_9618,plain,
sdtasdt0(smndt0(xa),xb) = sdtasdt0(xb,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_2294]) ).
tcf(c_9619,plain,
sdtasdt0(smndt0(xb),xb) = sdtasdt0(xb,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_2294]) ).
tcf(c_9620,plain,
sdtasdt0(smndt0(xp),xb) = sdtasdt0(xb,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_2294]) ).
tcf(c_9621,plain,
sdtasdt0(smndt0(xq),xb) = sdtasdt0(xb,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_2294]) ).
tcf(c_9622,plain,
sdtasdt0(smndt0(xm),xb) = sdtasdt0(xb,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_2294]) ).
tcf(c_9623,plain,
sdtasdt0(smndt0(sz00),xb) = sdtasdt0(xb,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_2294]) ).
tcf(c_9624,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_2294]) ).
tcf(c_9625,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),xb) = sdtasdt0(xb,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_2294]) ).
tcf(c_9626,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_2294]) ).
tcf(c_9627,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_2294]) ).
tcf(c_9628,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_2294]) ).
tcf(c_9629,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_2294]) ).
tcf(c_9630,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_2294]) ).
tcf(c_9631,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_2294]) ).
tcf(c_9632,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_2294]) ).
tcf(c_9633,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_2294]) ).
tcf(c_9634,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_2294]) ).
tcf(c_9635,plain,
sdtasdt0(smndt0(sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_2294]) ).
tcf(c_9636,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_2294]) ).
tcf(c_9637,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_2294]) ).
tcf(c_9638,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_2294]) ).
tcf(c_9639,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_2294]) ).
tcf(c_9640,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_2294]) ).
tcf(c_9641,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_2294]) ).
tcf(c_9642,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_2294]) ).
tcf(c_9643,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_2294]) ).
tcf(c_9644,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_2294]) ).
tcf(c_9645,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_2294]) ).
tcf(c_9646,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_2294]) ).
tcf(c_9647,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_2294]) ).
tcf(c_9648,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_2294]) ).
tcf(c_9649,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_2294]) ).
tcf(c_9650,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_2294]) ).
tcf(c_9651,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_2294]) ).
tcf(c_9652,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_2294]) ).
tcf(c_9653,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_2294]) ).
tcf(c_9654,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_2294]) ).
tcf(c_9655,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_2294]) ).
tcf(c_9656,plain,
sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_2294]) ).
tcf(c_9657,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_2294]) ).
tcf(c_9658,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_2294]) ).
tcf(c_9659,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_2294]) ).
tcf(c_9660,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_2294]) ).
tcf(c_9661,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_2294]) ).
tcf(c_9662,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_2294]) ).
tcf(c_9663,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_2294]) ).
tcf(c_9664,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_2294]) ).
tcf(c_9665,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_2294]) ).
tcf(c_9666,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_2294]) ).
tcf(c_9769,plain,
( ( xb = sz00 )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xb,smndt0(xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9618,c_59]) ).
tcf(c_9770,plain,
( aInteger0(sdtasdt0(xb,smndt0(xa)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9618,c_72]) ).
tcf(c_9771,plain,
( aInteger0(sdtasdt0(xb,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9770,c_50]) ).
tcf(c_9774,plain,
( ( xb = sz00 )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xb,smndt0(xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9769,c_50]) ).
tcf(c_9783,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_2294]) ).
tcf(c_9784,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1883]) ).
tcf(c_9785,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xa))))) = smndt0(smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1835]) ).
tcf(c_9786,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xa)))),sz00) = smndt0(smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1774]) ).
tcf(c_9787,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_5023]) ).
tcf(c_9788,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_4917]) ).
tcf(c_9789,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xa)))),smndt0(sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1038]) ).
tcf(c_9790,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),smndt0(smndt0(sdtasdt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1004]) ).
tcf(c_9791,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1582]) ).
tcf(c_9792,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1264]) ).
tcf(c_9793,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1187]) ).
tcf(c_9794,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),xm) = sdtpldt0(xm,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1186]) ).
tcf(c_9795,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),xq) = sdtpldt0(xq,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1185]) ).
tcf(c_9796,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),xp) = sdtpldt0(xp,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1184]) ).
tcf(c_9797,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),xb) = sdtpldt0(xb,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1183]) ).
tcf(c_9798,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),xa) = sdtpldt0(xa,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1182]) ).
tcf(c_9799,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1120]) ).
tcf(c_9800,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),xm) = sdtasdt0(xm,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1119]) ).
tcf(c_9801,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),xq) = sdtasdt0(xq,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1118]) ).
tcf(c_9802,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),xp) = sdtasdt0(xp,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1117]) ).
tcf(c_9803,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),xb) = sdtasdt0(xb,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1116]) ).
tcf(c_9804,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),xa) = sdtasdt0(xa,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_1115]) ).
tcf(c_9805,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xa)))) = smndt0(sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_951]) ).
tcf(c_9806,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),sz00) = smndt0(sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_937]) ).
tcf(c_9807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_69]) ).
tcf(c_9808,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_923]) ).
tcf(c_9809,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xa)),X0),sdtasdt0(sdtasdt0(xb,smndt0(xa)),X1)) = sdtasdt0(sdtasdt0(xb,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_68]) ).
tcf(c_9810,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,smndt0(xa)),X0),X1) = sdtpldt0(sdtasdt0(xb,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_77]) ).
tcf(c_9811,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,smndt0(xa)),X0),X1) = sdtasdt0(sdtasdt0(xb,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_71]) ).
tcf(c_9812,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_909]) ).
tcf(c_9813,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),X0) = sdtpldt0(X0,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_76]) ).
tcf(c_9814,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),X0) = sdtasdt0(X0,sdtasdt0(xb,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_70]) ).
tcf(c_9815,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),sdtasdt0(xb,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_74]) ).
tcf(c_9816,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),smndt0(sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_73]) ).
tcf(c_9817,plain,
( ( sdtpldt0(sz00,sdtasdt0(xb,smndt0(xa))) = sdtasdt0(xb,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_63]) ).
tcf(c_9818,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xa)),sz00) = sdtasdt0(xb,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_62]) ).
tcf(c_9819,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_61]) ).
tcf(c_9820,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_60]) ).
tcf(c_9937,plain,
( ( xb = sz00 )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xb,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9619,c_59]) ).
tcf(c_9938,plain,
( aInteger0(sdtasdt0(xb,smndt0(xb)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_9619,c_72]) ).
tcf(c_9939,plain,
( aInteger0(sdtasdt0(xb,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9938,c_50]) ).
tcf(c_9942,plain,
( ( xb = sz00 )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xb,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9937,c_50]) ).
tcf(c_9947,plain,
aInteger0(sdtasdt0(xb,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_9939,c_50,c_1168,c_9939]) ).
tcf(c_9949,plain,
sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_2294]) ).
tcf(c_9950,plain,
sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_1883]) ).
tcf(c_9951,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xb))))) = smndt0(smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_1835]) ).
tcf(c_9952,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xb)))),sz00) = smndt0(smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_1774]) ).
tcf(c_9953,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_5023]) ).
tcf(c_9954,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9947,c_4917]) ).
tcf(c_9955,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xb)))),smndt0(sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_1038]) ).
tcf(c_9956,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),smndt0(smndt0(sdtasdt0(xb,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_1004]) ).
tcf(c_9957,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_1582]) ).
tcf(c_9958,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9947,c_1264]) ).
tcf(c_9959,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1187]) ).
tcf(c_9960,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),xm) = sdtpldt0(xm,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1186]) ).
tcf(c_9961,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),xq) = sdtpldt0(xq,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1185]) ).
tcf(c_9962,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),xp) = sdtpldt0(xp,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1184]) ).
tcf(c_9963,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),xb) = sdtpldt0(xb,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1183]) ).
tcf(c_9964,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),xa) = sdtpldt0(xa,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1182]) ).
tcf(c_9965,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1120]) ).
tcf(c_9966,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xb)),xm) = sdtasdt0(xm,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1119]) ).
tcf(c_9967,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xb)),xq) = sdtasdt0(xq,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1118]) ).
tcf(c_9968,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xb)),xp) = sdtasdt0(xp,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1117]) ).
tcf(c_9969,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xb)),xb) = sdtasdt0(xb,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1116]) ).
tcf(c_9970,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xb)),xa) = sdtasdt0(xa,sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_1115]) ).
tcf(c_9971,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xb)))) = smndt0(sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_951]) ).
tcf(c_9972,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),sz00) = smndt0(sdtasdt0(xb,smndt0(xb))),
inference(superposition,[status(thm)],[c_9947,c_937]) ).
tcf(c_9973,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9947,c_69]) ).
tcf(c_9974,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_923]) ).
tcf(c_9975,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xb)),X0),sdtasdt0(sdtasdt0(xb,smndt0(xb)),X1)) = sdtasdt0(sdtasdt0(xb,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9947,c_68]) ).
tcf(c_9976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,smndt0(xb)),X0),X1) = sdtpldt0(sdtasdt0(xb,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9947,c_77]) ).
tcf(c_9977,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,smndt0(xb)),X0),X1) = sdtasdt0(sdtasdt0(xb,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9947,c_71]) ).
tcf(c_9978,plain,
sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9947,c_909]) ).
tcf(c_9979,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,smndt0(xb)),X0) = sdtpldt0(X0,sdtasdt0(xb,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9947,c_76]) ).
tcf(c_9980,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,smndt0(xb)),X0) = sdtasdt0(X0,sdtasdt0(xb,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9947,c_70]) ).
tcf(c_9981,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),sdtasdt0(xb,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_74]) ).
tcf(c_9982,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),smndt0(sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_73]) ).
tcf(c_9983,plain,
sdtpldt0(sz00,sdtasdt0(xb,smndt0(xb))) = sdtasdt0(xb,smndt0(xb)),
inference(superposition,[status(thm)],[c_9947,c_63]) ).
tcf(c_9984,plain,
sdtpldt0(sdtasdt0(xb,smndt0(xb)),sz00) = sdtasdt0(xb,smndt0(xb)),
inference(superposition,[status(thm)],[c_9947,c_62]) ).
tcf(c_9985,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_61]) ).
tcf(c_9986,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9947,c_60]) ).
tcf(c_10087,plain,
( ( xb = sz00 )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xb,smndt0(xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9620,c_59]) ).
tcf(c_10088,plain,
( aInteger0(sdtasdt0(xb,smndt0(xp)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_9620,c_72]) ).
tcf(c_10089,plain,
( aInteger0(sdtasdt0(xb,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10088,c_50]) ).
tcf(c_10092,plain,
( ( xb = sz00 )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xb,smndt0(xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10087,c_50]) ).
tcf(c_10101,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_2294]) ).
tcf(c_10102,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1883]) ).
tcf(c_10103,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xp))))) = smndt0(smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1835]) ).
tcf(c_10104,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xp)))),sz00) = smndt0(smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1774]) ).
tcf(c_10105,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_5023]) ).
tcf(c_10106,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_4917]) ).
tcf(c_10107,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xp)))),smndt0(sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1038]) ).
tcf(c_10108,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),smndt0(smndt0(sdtasdt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1004]) ).
tcf(c_10109,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1582]) ).
tcf(c_10110,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1264]) ).
tcf(c_10111,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1187]) ).
tcf(c_10112,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),xm) = sdtpldt0(xm,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1186]) ).
tcf(c_10113,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),xq) = sdtpldt0(xq,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1185]) ).
tcf(c_10114,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),xp) = sdtpldt0(xp,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1184]) ).
tcf(c_10115,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),xb) = sdtpldt0(xb,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1183]) ).
tcf(c_10116,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),xa) = sdtpldt0(xa,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1182]) ).
tcf(c_10117,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1120]) ).
tcf(c_10118,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),xm) = sdtasdt0(xm,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1119]) ).
tcf(c_10119,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),xq) = sdtasdt0(xq,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1118]) ).
tcf(c_10120,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),xp) = sdtasdt0(xp,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1117]) ).
tcf(c_10121,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),xb) = sdtasdt0(xb,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1116]) ).
tcf(c_10122,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),xa) = sdtasdt0(xa,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_1115]) ).
tcf(c_10123,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xp)))) = smndt0(sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_951]) ).
tcf(c_10124,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),sz00) = smndt0(sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_937]) ).
tcf(c_10125,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_69]) ).
tcf(c_10126,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_923]) ).
tcf(c_10127,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xp)),X0),sdtasdt0(sdtasdt0(xb,smndt0(xp)),X1)) = sdtasdt0(sdtasdt0(xb,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_68]) ).
tcf(c_10128,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(xb,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_77]) ).
tcf(c_10129,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,smndt0(xp)),X0),X1) = sdtasdt0(sdtasdt0(xb,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_71]) ).
tcf(c_10130,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_909]) ).
tcf(c_10131,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),X0) = sdtpldt0(X0,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_76]) ).
tcf(c_10132,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),X0) = sdtasdt0(X0,sdtasdt0(xb,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_70]) ).
tcf(c_10133,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),sdtasdt0(xb,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_74]) ).
tcf(c_10134,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),smndt0(sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_73]) ).
tcf(c_10135,plain,
( ( sdtpldt0(sz00,sdtasdt0(xb,smndt0(xp))) = sdtasdt0(xb,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_63]) ).
tcf(c_10136,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xp)),sz00) = sdtasdt0(xb,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_62]) ).
tcf(c_10137,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_61]) ).
tcf(c_10138,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_60]) ).
tcf(c_10255,plain,
( ( xb = sz00 )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xb,smndt0(xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9621,c_59]) ).
tcf(c_10256,plain,
( aInteger0(sdtasdt0(xb,smndt0(xq)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_9621,c_72]) ).
tcf(c_10257,plain,
( aInteger0(sdtasdt0(xb,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10256,c_50]) ).
tcf(c_10260,plain,
( ( xb = sz00 )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xb,smndt0(xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10255,c_50]) ).
tcf(c_10269,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_2294]) ).
tcf(c_10270,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1883]) ).
tcf(c_10271,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xq))))) = smndt0(smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1835]) ).
tcf(c_10272,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xq)))),sz00) = smndt0(smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1774]) ).
tcf(c_10273,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_5023]) ).
tcf(c_10274,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_4917]) ).
tcf(c_10275,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xq)))),smndt0(sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1038]) ).
tcf(c_10276,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),smndt0(smndt0(sdtasdt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1004]) ).
tcf(c_10277,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1582]) ).
tcf(c_10278,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1264]) ).
tcf(c_10279,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1187]) ).
tcf(c_10280,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),xm) = sdtpldt0(xm,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1186]) ).
tcf(c_10281,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),xq) = sdtpldt0(xq,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1185]) ).
tcf(c_10282,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),xp) = sdtpldt0(xp,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1184]) ).
tcf(c_10283,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),xb) = sdtpldt0(xb,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1183]) ).
tcf(c_10284,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),xa) = sdtpldt0(xa,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1182]) ).
tcf(c_10285,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1120]) ).
tcf(c_10286,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),xm) = sdtasdt0(xm,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1119]) ).
tcf(c_10287,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),xq) = sdtasdt0(xq,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1118]) ).
tcf(c_10288,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),xp) = sdtasdt0(xp,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1117]) ).
tcf(c_10289,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),xb) = sdtasdt0(xb,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1116]) ).
tcf(c_10290,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),xa) = sdtasdt0(xa,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_1115]) ).
tcf(c_10291,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xq)))) = smndt0(sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_951]) ).
tcf(c_10292,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),sz00) = smndt0(sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_937]) ).
tcf(c_10293,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_69]) ).
tcf(c_10294,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_923]) ).
tcf(c_10295,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xq)),X0),sdtasdt0(sdtasdt0(xb,smndt0(xq)),X1)) = sdtasdt0(sdtasdt0(xb,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_68]) ).
tcf(c_10296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,smndt0(xq)),X0),X1) = sdtpldt0(sdtasdt0(xb,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_77]) ).
tcf(c_10297,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,smndt0(xq)),X0),X1) = sdtasdt0(sdtasdt0(xb,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_71]) ).
tcf(c_10298,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_909]) ).
tcf(c_10299,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),X0) = sdtpldt0(X0,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_76]) ).
tcf(c_10300,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),X0) = sdtasdt0(X0,sdtasdt0(xb,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_70]) ).
tcf(c_10301,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),sdtasdt0(xb,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_74]) ).
tcf(c_10302,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),smndt0(sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_73]) ).
tcf(c_10303,plain,
( ( sdtpldt0(sz00,sdtasdt0(xb,smndt0(xq))) = sdtasdt0(xb,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_63]) ).
tcf(c_10304,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xq)),sz00) = sdtasdt0(xb,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_62]) ).
tcf(c_10305,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_61]) ).
tcf(c_10306,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_60]) ).
tcf(c_10423,plain,
( ( xb = sz00 )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xb,smndt0(xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9622,c_59]) ).
tcf(c_10424,plain,
( aInteger0(sdtasdt0(xb,smndt0(xm)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_9622,c_72]) ).
tcf(c_10425,plain,
( aInteger0(sdtasdt0(xb,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10424,c_50]) ).
tcf(c_10428,plain,
( ( xb = sz00 )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xb,smndt0(xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10423,c_50]) ).
tcf(c_10437,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_2294]) ).
tcf(c_10438,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1883]) ).
tcf(c_10439,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xm))))) = smndt0(smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1835]) ).
tcf(c_10440,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1774]) ).
tcf(c_10441,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_5023]) ).
tcf(c_10442,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_4917]) ).
tcf(c_10443,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xm)))),smndt0(sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1038]) ).
tcf(c_10444,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),smndt0(smndt0(sdtasdt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1004]) ).
tcf(c_10445,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1582]) ).
tcf(c_10446,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1264]) ).
tcf(c_10447,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1187]) ).
tcf(c_10448,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1186]) ).
tcf(c_10449,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1185]) ).
tcf(c_10450,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1184]) ).
tcf(c_10451,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1183]) ).
tcf(c_10452,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1182]) ).
tcf(c_10453,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1120]) ).
tcf(c_10454,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1119]) ).
tcf(c_10455,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1118]) ).
tcf(c_10456,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1117]) ).
tcf(c_10457,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1116]) ).
tcf(c_10458,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_1115]) ).
tcf(c_10459,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xm)))) = smndt0(sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_951]) ).
tcf(c_10460,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),sz00) = smndt0(sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_937]) ).
tcf(c_10461,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_69]) ).
tcf(c_10462,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_923]) ).
tcf(c_10463,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,smndt0(xm)),X0),sdtasdt0(sdtasdt0(xb,smndt0(xm)),X1)) = sdtasdt0(sdtasdt0(xb,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_68]) ).
tcf(c_10464,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,smndt0(xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_77]) ).
tcf(c_10465,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,smndt0(xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_71]) ).
tcf(c_10466,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_909]) ).
tcf(c_10467,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_76]) ).
tcf(c_10468,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_70]) ).
tcf(c_10469,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),sdtasdt0(xb,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_74]) ).
tcf(c_10470,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),smndt0(sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_73]) ).
tcf(c_10471,plain,
( ( sdtpldt0(sz00,sdtasdt0(xb,smndt0(xm))) = sdtasdt0(xb,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_63]) ).
tcf(c_10472,plain,
( ( sdtpldt0(sdtasdt0(xb,smndt0(xm)),sz00) = sdtasdt0(xb,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_62]) ).
tcf(c_10473,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_61]) ).
tcf(c_10474,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_60]) ).
tcf(c_10648,plain,
sdtasdt0(smndt0(xa),xp) = sdtasdt0(xp,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_2623]) ).
tcf(c_10649,plain,
sdtasdt0(smndt0(xb),xp) = sdtasdt0(xp,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_2623]) ).
tcf(c_10650,plain,
sdtasdt0(smndt0(xp),xp) = sdtasdt0(xp,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_2623]) ).
tcf(c_10651,plain,
sdtasdt0(smndt0(xq),xp) = sdtasdt0(xp,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_2623]) ).
tcf(c_10652,plain,
sdtasdt0(smndt0(xm),xp) = sdtasdt0(xp,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_2623]) ).
tcf(c_10653,plain,
sdtasdt0(smndt0(sz00),xp) = sdtasdt0(xp,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_2623]) ).
tcf(c_10654,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_2623]) ).
tcf(c_10655,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),xp) = sdtasdt0(xp,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_2623]) ).
tcf(c_10656,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_2623]) ).
tcf(c_10657,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_2623]) ).
tcf(c_10658,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_2623]) ).
tcf(c_10659,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_2623]) ).
tcf(c_10660,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_2623]) ).
tcf(c_10661,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_2623]) ).
tcf(c_10662,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_2623]) ).
tcf(c_10663,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_2623]) ).
tcf(c_10664,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_2623]) ).
tcf(c_10665,plain,
sdtasdt0(smndt0(sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_2623]) ).
tcf(c_10666,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_2623]) ).
tcf(c_10667,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_2623]) ).
tcf(c_10668,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_2623]) ).
tcf(c_10669,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_2623]) ).
tcf(c_10670,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_2623]) ).
tcf(c_10671,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_2623]) ).
tcf(c_10672,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_2623]) ).
tcf(c_10673,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_2623]) ).
tcf(c_10674,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_2623]) ).
tcf(c_10675,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_2623]) ).
tcf(c_10676,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_2623]) ).
tcf(c_10677,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_2623]) ).
tcf(c_10678,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_2623]) ).
tcf(c_10679,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_2623]) ).
tcf(c_10680,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_2623]) ).
tcf(c_10681,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_2623]) ).
tcf(c_10682,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_2623]) ).
tcf(c_10683,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_2623]) ).
tcf(c_10684,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_2623]) ).
tcf(c_10685,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_2623]) ).
tcf(c_10686,plain,
sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_2623]) ).
tcf(c_10687,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_2623]) ).
tcf(c_10688,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_2623]) ).
tcf(c_10689,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_2623]) ).
tcf(c_10690,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_2623]) ).
tcf(c_10691,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_2623]) ).
tcf(c_10692,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_2623]) ).
tcf(c_10693,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_2623]) ).
tcf(c_10694,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_2623]) ).
tcf(c_10695,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_2623]) ).
tcf(c_10696,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_2623]) ).
tcf(c_10697,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_2623]) ).
tcf(c_10698,plain,
sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_2623]) ).
tcf(c_10699,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_2623]) ).
tcf(c_10700,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_2623]) ).
tcf(c_10701,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_2623]) ).
tcf(c_10769,plain,
( ( xp = sz00 )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xp,smndt0(xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10648,c_59]) ).
tcf(c_10770,plain,
( aInteger0(sdtasdt0(xp,smndt0(xa)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10648,c_72]) ).
tcf(c_10771,plain,
( aInteger0(sdtasdt0(xp,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10770,c_51]) ).
tcf(c_10774,plain,
( ( smndt0(xa) = sz00 )
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xp,smndt0(xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10769,c_52,c_51]) ).
tcf(c_10782,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_2623]) ).
tcf(c_10783,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_2294]) ).
tcf(c_10784,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1883]) ).
tcf(c_10785,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xa))))) = smndt0(smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1835]) ).
tcf(c_10786,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xa)))),sz00) = smndt0(smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1774]) ).
tcf(c_10787,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_5023]) ).
tcf(c_10788,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_4917]) ).
tcf(c_10789,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xa)))),smndt0(sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1038]) ).
tcf(c_10790,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),smndt0(smndt0(sdtasdt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1004]) ).
tcf(c_10791,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1582]) ).
tcf(c_10792,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1264]) ).
tcf(c_10793,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1187]) ).
tcf(c_10794,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),xm) = sdtpldt0(xm,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1186]) ).
tcf(c_10795,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),xq) = sdtpldt0(xq,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1185]) ).
tcf(c_10796,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),xp) = sdtpldt0(xp,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1184]) ).
tcf(c_10797,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),xb) = sdtpldt0(xb,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1183]) ).
tcf(c_10798,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),xa) = sdtpldt0(xa,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1182]) ).
tcf(c_10799,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1120]) ).
tcf(c_10800,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),xm) = sdtasdt0(xm,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1119]) ).
tcf(c_10801,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),xq) = sdtasdt0(xq,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1118]) ).
tcf(c_10802,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),xp) = sdtasdt0(xp,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1117]) ).
tcf(c_10803,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),xb) = sdtasdt0(xb,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1116]) ).
tcf(c_10804,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),xa) = sdtasdt0(xa,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_1115]) ).
tcf(c_10805,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xa)))) = smndt0(sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_951]) ).
tcf(c_10806,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),sz00) = smndt0(sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_937]) ).
tcf(c_10807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_69]) ).
tcf(c_10808,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_923]) ).
tcf(c_10809,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xa)),X0),sdtasdt0(sdtasdt0(xp,smndt0(xa)),X1)) = sdtasdt0(sdtasdt0(xp,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_68]) ).
tcf(c_10810,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,smndt0(xa)),X0),X1) = sdtpldt0(sdtasdt0(xp,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_77]) ).
tcf(c_10811,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,smndt0(xa)),X0),X1) = sdtasdt0(sdtasdt0(xp,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_71]) ).
tcf(c_10812,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_909]) ).
tcf(c_10813,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),X0) = sdtpldt0(X0,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_76]) ).
tcf(c_10814,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),X0) = sdtasdt0(X0,sdtasdt0(xp,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_70]) ).
tcf(c_10815,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),sdtasdt0(xp,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_74]) ).
tcf(c_10816,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),smndt0(sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_73]) ).
tcf(c_10817,plain,
( ( sdtpldt0(sz00,sdtasdt0(xp,smndt0(xa))) = sdtasdt0(xp,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_63]) ).
tcf(c_10818,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xa)),sz00) = sdtasdt0(xp,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_62]) ).
tcf(c_10819,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_61]) ).
tcf(c_10820,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_60]) ).
tcf(c_10993,plain,
( ( xp = sz00 )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xp,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10649,c_59]) ).
tcf(c_10994,plain,
( aInteger0(sdtasdt0(xp,smndt0(xb)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_10649,c_72]) ).
tcf(c_10995,plain,
( aInteger0(sdtasdt0(xp,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10994,c_51]) ).
tcf(c_10998,plain,
( ( smndt0(xb) = sz00 )
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xp,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10993,c_52,c_51]) ).
tcf(c_11002,plain,
aInteger0(sdtasdt0(xp,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_10995,c_51,c_50,c_1168,c_8035]) ).
tcf(c_11004,plain,
sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_2623]) ).
tcf(c_11005,plain,
sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_2294]) ).
tcf(c_11006,plain,
sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_1883]) ).
tcf(c_11007,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xb))))) = smndt0(smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_1835]) ).
tcf(c_11008,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xb)))),sz00) = smndt0(smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_1774]) ).
tcf(c_11009,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_5023]) ).
tcf(c_11010,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11002,c_4917]) ).
tcf(c_11011,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xb)))),smndt0(sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_1038]) ).
tcf(c_11012,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),smndt0(smndt0(sdtasdt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_1004]) ).
tcf(c_11013,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_1582]) ).
tcf(c_11014,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11002,c_1264]) ).
tcf(c_11015,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1187]) ).
tcf(c_11016,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),xm) = sdtpldt0(xm,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1186]) ).
tcf(c_11017,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),xq) = sdtpldt0(xq,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1185]) ).
tcf(c_11018,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),xp) = sdtpldt0(xp,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1184]) ).
tcf(c_11019,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),xb) = sdtpldt0(xb,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1183]) ).
tcf(c_11020,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),xa) = sdtpldt0(xa,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1182]) ).
tcf(c_11021,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1120]) ).
tcf(c_11022,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xb)),xm) = sdtasdt0(xm,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1119]) ).
tcf(c_11023,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xb)),xq) = sdtasdt0(xq,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1118]) ).
tcf(c_11024,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xb)),xp) = sdtasdt0(xp,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1117]) ).
tcf(c_11025,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xb)),xb) = sdtasdt0(xb,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1116]) ).
tcf(c_11026,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xb)),xa) = sdtasdt0(xa,sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_1115]) ).
tcf(c_11027,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xb)))) = smndt0(sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_951]) ).
tcf(c_11028,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),sz00) = smndt0(sdtasdt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_11002,c_937]) ).
tcf(c_11029,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_11002,c_69]) ).
tcf(c_11030,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_923]) ).
tcf(c_11031,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xb)),X0),sdtasdt0(sdtasdt0(xp,smndt0(xb)),X1)) = sdtasdt0(sdtasdt0(xp,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_11002,c_68]) ).
tcf(c_11032,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,smndt0(xb)),X0),X1) = sdtpldt0(sdtasdt0(xp,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_11002,c_77]) ).
tcf(c_11033,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,smndt0(xb)),X0),X1) = sdtasdt0(sdtasdt0(xp,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_11002,c_71]) ).
tcf(c_11034,plain,
sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11002,c_909]) ).
tcf(c_11035,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,smndt0(xb)),X0) = sdtpldt0(X0,sdtasdt0(xp,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_11002,c_76]) ).
tcf(c_11036,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,smndt0(xb)),X0) = sdtasdt0(X0,sdtasdt0(xp,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_11002,c_70]) ).
tcf(c_11037,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),sdtasdt0(xp,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_74]) ).
tcf(c_11038,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),smndt0(sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_73]) ).
tcf(c_11039,plain,
sdtpldt0(sz00,sdtasdt0(xp,smndt0(xb))) = sdtasdt0(xp,smndt0(xb)),
inference(superposition,[status(thm)],[c_11002,c_63]) ).
tcf(c_11040,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xb)),sz00) = sdtasdt0(xp,smndt0(xb)),
inference(superposition,[status(thm)],[c_11002,c_62]) ).
tcf(c_11041,plain,
sdtasdt0(sz00,sdtasdt0(xp,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_61]) ).
tcf(c_11042,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11002,c_60]) ).
tcf(c_11093,plain,
( ( xp = sz00 )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xp,smndt0(xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10650,c_59]) ).
tcf(c_11094,plain,
( aInteger0(sdtasdt0(xp,smndt0(xp)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10650,c_72]) ).
tcf(c_11095,plain,
( aInteger0(sdtasdt0(xp,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11094,c_51]) ).
tcf(c_11098,plain,
( ( smndt0(xp) = sz00 )
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xp,smndt0(xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11093,c_52,c_51]) ).
tcf(c_11106,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_2623]) ).
tcf(c_11107,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_2294]) ).
tcf(c_11108,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1883]) ).
tcf(c_11109,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xp))))) = smndt0(smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1835]) ).
tcf(c_11110,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xp)))),sz00) = smndt0(smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1774]) ).
tcf(c_11111,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_5023]) ).
tcf(c_11112,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_4917]) ).
tcf(c_11113,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xp)))),smndt0(sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1038]) ).
tcf(c_11114,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),smndt0(smndt0(sdtasdt0(xp,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1004]) ).
tcf(c_11115,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1582]) ).
tcf(c_11116,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1264]) ).
tcf(c_11117,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1187]) ).
tcf(c_11118,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),xm) = sdtpldt0(xm,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1186]) ).
tcf(c_11119,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),xq) = sdtpldt0(xq,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1185]) ).
tcf(c_11120,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),xp) = sdtpldt0(xp,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1184]) ).
tcf(c_11121,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),xb) = sdtpldt0(xb,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1183]) ).
tcf(c_11122,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),xa) = sdtpldt0(xa,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1182]) ).
tcf(c_11123,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1120]) ).
tcf(c_11124,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),xm) = sdtasdt0(xm,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1119]) ).
tcf(c_11125,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),xq) = sdtasdt0(xq,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1118]) ).
tcf(c_11126,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),xp) = sdtasdt0(xp,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1117]) ).
tcf(c_11127,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),xb) = sdtasdt0(xb,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1116]) ).
tcf(c_11128,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),xa) = sdtasdt0(xa,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_1115]) ).
tcf(c_11129,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xp)))) = smndt0(sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_951]) ).
tcf(c_11130,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),sz00) = smndt0(sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_937]) ).
tcf(c_11131,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_69]) ).
tcf(c_11132,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_923]) ).
tcf(c_11133,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xp)),X0),sdtasdt0(sdtasdt0(xp,smndt0(xp)),X1)) = sdtasdt0(sdtasdt0(xp,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_68]) ).
tcf(c_11134,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(xp,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_77]) ).
tcf(c_11135,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,smndt0(xp)),X0),X1) = sdtasdt0(sdtasdt0(xp,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_71]) ).
tcf(c_11136,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_909]) ).
tcf(c_11137,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),X0) = sdtpldt0(X0,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_76]) ).
tcf(c_11138,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),X0) = sdtasdt0(X0,sdtasdt0(xp,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_70]) ).
tcf(c_11139,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),sdtasdt0(xp,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_74]) ).
tcf(c_11140,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),smndt0(sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_73]) ).
tcf(c_11141,plain,
( ( sdtpldt0(sz00,sdtasdt0(xp,smndt0(xp))) = sdtasdt0(xp,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_63]) ).
tcf(c_11142,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xp)),sz00) = sdtasdt0(xp,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_62]) ).
tcf(c_11143,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_61]) ).
tcf(c_11144,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_60]) ).
tcf(c_11301,plain,
( ( xp = sz00 )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xp,smndt0(xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10651,c_59]) ).
tcf(c_11302,plain,
( aInteger0(sdtasdt0(xp,smndt0(xq)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10651,c_72]) ).
tcf(c_11303,plain,
( aInteger0(sdtasdt0(xp,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11302,c_51]) ).
tcf(c_11306,plain,
( ( smndt0(xq) = sz00 )
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xp,smndt0(xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11301,c_52,c_51]) ).
tcf(c_11327,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_2623]) ).
tcf(c_11328,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_2294]) ).
tcf(c_11329,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1883]) ).
tcf(c_11330,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xq))))) = smndt0(smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1835]) ).
tcf(c_11331,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xq)))),sz00) = smndt0(smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1774]) ).
tcf(c_11332,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_5023]) ).
tcf(c_11333,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_4917]) ).
tcf(c_11334,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xq)))),smndt0(sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1038]) ).
tcf(c_11335,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),smndt0(smndt0(sdtasdt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1004]) ).
tcf(c_11336,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1582]) ).
tcf(c_11337,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1264]) ).
tcf(c_11338,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1187]) ).
tcf(c_11339,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),xm) = sdtpldt0(xm,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1186]) ).
tcf(c_11340,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),xq) = sdtpldt0(xq,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1185]) ).
tcf(c_11341,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),xp) = sdtpldt0(xp,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1184]) ).
tcf(c_11342,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),xb) = sdtpldt0(xb,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1183]) ).
tcf(c_11343,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),xa) = sdtpldt0(xa,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1182]) ).
tcf(c_11344,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1120]) ).
tcf(c_11345,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),xm) = sdtasdt0(xm,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1119]) ).
tcf(c_11346,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),xq) = sdtasdt0(xq,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1118]) ).
tcf(c_11347,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),xp) = sdtasdt0(xp,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1117]) ).
tcf(c_11348,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),xb) = sdtasdt0(xb,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1116]) ).
tcf(c_11349,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),xa) = sdtasdt0(xa,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_1115]) ).
tcf(c_11350,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xq)))) = smndt0(sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_951]) ).
tcf(c_11351,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),sz00) = smndt0(sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_937]) ).
tcf(c_11352,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_69]) ).
tcf(c_11353,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_923]) ).
tcf(c_11354,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xq)),X0),sdtasdt0(sdtasdt0(xp,smndt0(xq)),X1)) = sdtasdt0(sdtasdt0(xp,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_68]) ).
tcf(c_11355,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,smndt0(xq)),X0),X1) = sdtpldt0(sdtasdt0(xp,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_77]) ).
tcf(c_11356,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,smndt0(xq)),X0),X1) = sdtasdt0(sdtasdt0(xp,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_71]) ).
tcf(c_11357,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_909]) ).
tcf(c_11358,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),X0) = sdtpldt0(X0,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_76]) ).
tcf(c_11359,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),X0) = sdtasdt0(X0,sdtasdt0(xp,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_70]) ).
tcf(c_11360,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),sdtasdt0(xp,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_74]) ).
tcf(c_11361,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),smndt0(sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_73]) ).
tcf(c_11362,plain,
( ( sdtpldt0(sz00,sdtasdt0(xp,smndt0(xq))) = sdtasdt0(xp,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_63]) ).
tcf(c_11363,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xq)),sz00) = sdtasdt0(xp,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_62]) ).
tcf(c_11364,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_61]) ).
tcf(c_11365,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_60]) ).
tcf(c_11484,plain,
( ( xp = sz00 )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xp,smndt0(xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10652,c_59]) ).
tcf(c_11485,plain,
( aInteger0(sdtasdt0(xp,smndt0(xm)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10652,c_72]) ).
tcf(c_11486,plain,
( aInteger0(sdtasdt0(xp,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11485,c_51]) ).
tcf(c_11489,plain,
( ( smndt0(xm) = sz00 )
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xp,smndt0(xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11484,c_52,c_51]) ).
tcf(c_11498,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_2623]) ).
tcf(c_11499,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_2294]) ).
tcf(c_11500,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1883]) ).
tcf(c_11501,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xm))))) = smndt0(smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1835]) ).
tcf(c_11502,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1774]) ).
tcf(c_11503,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_5023]) ).
tcf(c_11504,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_4917]) ).
tcf(c_11505,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xm)))),smndt0(sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1038]) ).
tcf(c_11506,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),smndt0(smndt0(sdtasdt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1004]) ).
tcf(c_11507,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1582]) ).
tcf(c_11508,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1264]) ).
tcf(c_11509,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1187]) ).
tcf(c_11510,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1186]) ).
tcf(c_11511,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1185]) ).
tcf(c_11512,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1184]) ).
tcf(c_11513,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1183]) ).
tcf(c_11514,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1182]) ).
tcf(c_11515,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1120]) ).
tcf(c_11516,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1119]) ).
tcf(c_11517,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1118]) ).
tcf(c_11518,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1117]) ).
tcf(c_11519,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1116]) ).
tcf(c_11520,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_1115]) ).
tcf(c_11521,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xm)))) = smndt0(sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_951]) ).
tcf(c_11522,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),sz00) = smndt0(sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_937]) ).
tcf(c_11523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_69]) ).
tcf(c_11524,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_923]) ).
tcf(c_11525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,smndt0(xm)),X0),sdtasdt0(sdtasdt0(xp,smndt0(xm)),X1)) = sdtasdt0(sdtasdt0(xp,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_68]) ).
tcf(c_11526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,smndt0(xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_77]) ).
tcf(c_11527,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,smndt0(xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_71]) ).
tcf(c_11528,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_909]) ).
tcf(c_11529,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_76]) ).
tcf(c_11530,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_70]) ).
tcf(c_11531,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),sdtasdt0(xp,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_74]) ).
tcf(c_11532,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),smndt0(sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_73]) ).
tcf(c_11533,plain,
( ( sdtpldt0(sz00,sdtasdt0(xp,smndt0(xm))) = sdtasdt0(xp,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_63]) ).
tcf(c_11534,plain,
( ( sdtpldt0(sdtasdt0(xp,smndt0(xm)),sz00) = sdtasdt0(xp,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_62]) ).
tcf(c_11535,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_61]) ).
tcf(c_11536,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_60]) ).
tcf(c_11659,plain,
sdtasdt0(smndt0(xa),xq) = sdtasdt0(xq,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_2851]) ).
tcf(c_11660,plain,
sdtasdt0(smndt0(xb),xq) = sdtasdt0(xq,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_2851]) ).
tcf(c_11661,plain,
sdtasdt0(smndt0(xp),xq) = sdtasdt0(xq,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_2851]) ).
tcf(c_11662,plain,
sdtasdt0(smndt0(xq),xq) = sdtasdt0(xq,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_2851]) ).
tcf(c_11663,plain,
sdtasdt0(smndt0(xm),xq) = sdtasdt0(xq,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_2851]) ).
tcf(c_11664,plain,
sdtasdt0(smndt0(sz00),xq) = sdtasdt0(xq,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_2851]) ).
tcf(c_11665,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_2851]) ).
tcf(c_11666,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),xq) = sdtasdt0(xq,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_2851]) ).
tcf(c_11667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_2851]) ).
tcf(c_11668,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_2851]) ).
tcf(c_11669,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_2851]) ).
tcf(c_11670,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_2851]) ).
tcf(c_11671,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_2851]) ).
tcf(c_11672,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_2851]) ).
tcf(c_11673,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_2851]) ).
tcf(c_11674,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_2851]) ).
tcf(c_11675,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_2851]) ).
tcf(c_11676,plain,
sdtasdt0(smndt0(sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_2851]) ).
tcf(c_11677,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_2851]) ).
tcf(c_11678,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_2851]) ).
tcf(c_11679,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_2851]) ).
tcf(c_11680,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_2851]) ).
tcf(c_11681,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_2851]) ).
tcf(c_11682,plain,
sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_2851]) ).
tcf(c_11683,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_2851]) ).
tcf(c_11684,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_2851]) ).
tcf(c_11685,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_2851]) ).
tcf(c_11686,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_2851]) ).
tcf(c_11687,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_2851]) ).
tcf(c_11688,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_2851]) ).
tcf(c_11689,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_2851]) ).
tcf(c_11690,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_2851]) ).
tcf(c_11691,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_2851]) ).
tcf(c_11692,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_2851]) ).
tcf(c_11693,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_2851]) ).
tcf(c_11694,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_2851]) ).
tcf(c_11695,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_2851]) ).
tcf(c_11696,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_2851]) ).
tcf(c_11697,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_2851]) ).
tcf(c_11698,plain,
sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_2851]) ).
tcf(c_11699,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_2851]) ).
tcf(c_11700,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_2851]) ).
tcf(c_11701,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_2851]) ).
tcf(c_11702,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_2851]) ).
tcf(c_11703,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_2851]) ).
tcf(c_11704,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_2851]) ).
tcf(c_11705,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_2851]) ).
tcf(c_11706,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_2851]) ).
tcf(c_11707,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_2851]) ).
tcf(c_11708,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_2851]) ).
tcf(c_11709,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_2851]) ).
tcf(c_11710,plain,
sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_2851]) ).
tcf(c_11711,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_2851]) ).
tcf(c_11712,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_2851]) ).
tcf(c_11713,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_2851]) ).
tcf(c_11714,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_2851]) ).
tcf(c_11715,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_2851]) ).
tcf(c_11716,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_2851]) ).
tcf(c_11717,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_2851]) ).
tcf(c_11842,plain,
( ( sz00 = xq )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xq,smndt0(xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11659,c_59]) ).
tcf(c_11843,plain,
( aInteger0(sdtasdt0(xq,smndt0(xa)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11659,c_72]) ).
tcf(c_11844,plain,
( aInteger0(sdtasdt0(xq,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11843,c_53]) ).
tcf(c_11847,plain,
( ( smndt0(xa) = sz00 )
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xq,smndt0(xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11842,c_54,c_53]) ).
tcf(c_11855,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_2851]) ).
tcf(c_11856,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_2623]) ).
tcf(c_11857,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_2294]) ).
tcf(c_11858,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1883]) ).
tcf(c_11859,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xa))))) = smndt0(smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1835]) ).
tcf(c_11860,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xa)))),sz00) = smndt0(smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1774]) ).
tcf(c_11861,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_5023]) ).
tcf(c_11862,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_4917]) ).
tcf(c_11863,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xa)))),smndt0(sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1038]) ).
tcf(c_11864,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),smndt0(smndt0(sdtasdt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1004]) ).
tcf(c_11865,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1582]) ).
tcf(c_11866,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1264]) ).
tcf(c_11867,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1187]) ).
tcf(c_11868,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),xm) = sdtpldt0(xm,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1186]) ).
tcf(c_11869,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),xq) = sdtpldt0(xq,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1185]) ).
tcf(c_11870,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),xp) = sdtpldt0(xp,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1184]) ).
tcf(c_11871,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),xb) = sdtpldt0(xb,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1183]) ).
tcf(c_11872,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),xa) = sdtpldt0(xa,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1182]) ).
tcf(c_11873,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1120]) ).
tcf(c_11874,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),xm) = sdtasdt0(xm,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1119]) ).
tcf(c_11875,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),xq) = sdtasdt0(xq,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1118]) ).
tcf(c_11876,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),xp) = sdtasdt0(xp,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1117]) ).
tcf(c_11877,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),xb) = sdtasdt0(xb,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1116]) ).
tcf(c_11878,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),xa) = sdtasdt0(xa,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_1115]) ).
tcf(c_11879,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xa)))) = smndt0(sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_951]) ).
tcf(c_11880,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),sz00) = smndt0(sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_937]) ).
tcf(c_11881,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_69]) ).
tcf(c_11882,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_923]) ).
tcf(c_11883,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xa)),X0),sdtasdt0(sdtasdt0(xq,smndt0(xa)),X1)) = sdtasdt0(sdtasdt0(xq,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_68]) ).
tcf(c_11884,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,smndt0(xa)),X0),X1) = sdtpldt0(sdtasdt0(xq,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_77]) ).
tcf(c_11885,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,smndt0(xa)),X0),X1) = sdtasdt0(sdtasdt0(xq,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_71]) ).
tcf(c_11886,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_909]) ).
tcf(c_11887,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),X0) = sdtpldt0(X0,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_76]) ).
tcf(c_11888,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),X0) = sdtasdt0(X0,sdtasdt0(xq,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_70]) ).
tcf(c_11889,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),sdtasdt0(xq,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_74]) ).
tcf(c_11890,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),smndt0(sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_73]) ).
tcf(c_11891,plain,
( ( sdtpldt0(sz00,sdtasdt0(xq,smndt0(xa))) = sdtasdt0(xq,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_63]) ).
tcf(c_11892,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xa)),sz00) = sdtasdt0(xq,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_62]) ).
tcf(c_11893,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_61]) ).
tcf(c_11894,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_60]) ).
tcf(c_12055,plain,
( ( sz00 = xq )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xq,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11660,c_59]) ).
tcf(c_12056,plain,
( aInteger0(sdtasdt0(xq,smndt0(xb)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_11660,c_72]) ).
tcf(c_12057,plain,
( aInteger0(sdtasdt0(xq,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12056,c_53]) ).
tcf(c_12060,plain,
( ( smndt0(xb) = sz00 )
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xq,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12055,c_54,c_53]) ).
tcf(c_12064,plain,
aInteger0(sdtasdt0(xq,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_12057,c_53,c_50,c_1168,c_8032]) ).
tcf(c_12066,plain,
sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_2851]) ).
tcf(c_12067,plain,
sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_2623]) ).
tcf(c_12068,plain,
sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_2294]) ).
tcf(c_12069,plain,
sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_1883]) ).
tcf(c_12070,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xb))))) = smndt0(smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_1835]) ).
tcf(c_12071,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xb)))),sz00) = smndt0(smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_1774]) ).
tcf(c_12072,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_5023]) ).
tcf(c_12073,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12064,c_4917]) ).
tcf(c_12074,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xb)))),smndt0(sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_1038]) ).
tcf(c_12075,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),smndt0(smndt0(sdtasdt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_1004]) ).
tcf(c_12076,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_1582]) ).
tcf(c_12077,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12064,c_1264]) ).
tcf(c_12078,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1187]) ).
tcf(c_12079,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),xm) = sdtpldt0(xm,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1186]) ).
tcf(c_12080,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),xq) = sdtpldt0(xq,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1185]) ).
tcf(c_12081,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),xp) = sdtpldt0(xp,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1184]) ).
tcf(c_12082,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),xb) = sdtpldt0(xb,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1183]) ).
tcf(c_12083,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),xa) = sdtpldt0(xa,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1182]) ).
tcf(c_12084,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1120]) ).
tcf(c_12085,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xb)),xm) = sdtasdt0(xm,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1119]) ).
tcf(c_12086,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xb)),xq) = sdtasdt0(xq,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1118]) ).
tcf(c_12087,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xb)),xp) = sdtasdt0(xp,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1117]) ).
tcf(c_12088,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xb)),xb) = sdtasdt0(xb,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1116]) ).
tcf(c_12089,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xb)),xa) = sdtasdt0(xa,sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_1115]) ).
tcf(c_12090,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xb)))) = smndt0(sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_951]) ).
tcf(c_12091,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),sz00) = smndt0(sdtasdt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_12064,c_937]) ).
tcf(c_12092,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12064,c_69]) ).
tcf(c_12093,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_923]) ).
tcf(c_12094,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xb)),X0),sdtasdt0(sdtasdt0(xq,smndt0(xb)),X1)) = sdtasdt0(sdtasdt0(xq,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12064,c_68]) ).
tcf(c_12095,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,smndt0(xb)),X0),X1) = sdtpldt0(sdtasdt0(xq,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12064,c_77]) ).
tcf(c_12096,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,smndt0(xb)),X0),X1) = sdtasdt0(sdtasdt0(xq,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12064,c_71]) ).
tcf(c_12097,plain,
sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12064,c_909]) ).
tcf(c_12098,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,smndt0(xb)),X0) = sdtpldt0(X0,sdtasdt0(xq,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12064,c_76]) ).
tcf(c_12099,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,smndt0(xb)),X0) = sdtasdt0(X0,sdtasdt0(xq,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12064,c_70]) ).
tcf(c_12100,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),sdtasdt0(xq,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_74]) ).
tcf(c_12101,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),smndt0(sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_73]) ).
tcf(c_12102,plain,
sdtpldt0(sz00,sdtasdt0(xq,smndt0(xb))) = sdtasdt0(xq,smndt0(xb)),
inference(superposition,[status(thm)],[c_12064,c_63]) ).
tcf(c_12103,plain,
sdtpldt0(sdtasdt0(xq,smndt0(xb)),sz00) = sdtasdt0(xq,smndt0(xb)),
inference(superposition,[status(thm)],[c_12064,c_62]) ).
tcf(c_12104,plain,
sdtasdt0(sz00,sdtasdt0(xq,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_61]) ).
tcf(c_12105,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_12064,c_60]) ).
tcf(c_12156,plain,
( ( sz00 = xq )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xq,smndt0(xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11661,c_59]) ).
tcf(c_12157,plain,
( aInteger0(sdtasdt0(xq,smndt0(xp)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11661,c_72]) ).
tcf(c_12158,plain,
( aInteger0(sdtasdt0(xq,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12157,c_53]) ).
tcf(c_12161,plain,
( ( smndt0(xp) = sz00 )
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xq,smndt0(xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12156,c_54,c_53]) ).
tcf(c_12169,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_2851]) ).
tcf(c_12170,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_2623]) ).
tcf(c_12171,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_2294]) ).
tcf(c_12172,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1883]) ).
tcf(c_12173,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xp))))) = smndt0(smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1835]) ).
tcf(c_12174,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xp)))),sz00) = smndt0(smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1774]) ).
tcf(c_12175,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_5023]) ).
tcf(c_12176,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_4917]) ).
tcf(c_12177,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xp)))),smndt0(sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1038]) ).
tcf(c_12178,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),smndt0(smndt0(sdtasdt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1004]) ).
tcf(c_12179,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1582]) ).
tcf(c_12180,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1264]) ).
tcf(c_12181,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1187]) ).
tcf(c_12182,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),xm) = sdtpldt0(xm,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1186]) ).
tcf(c_12183,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),xq) = sdtpldt0(xq,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1185]) ).
tcf(c_12184,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),xp) = sdtpldt0(xp,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1184]) ).
tcf(c_12185,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),xb) = sdtpldt0(xb,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1183]) ).
tcf(c_12186,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),xa) = sdtpldt0(xa,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1182]) ).
tcf(c_12187,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1120]) ).
tcf(c_12188,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),xm) = sdtasdt0(xm,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1119]) ).
tcf(c_12189,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),xq) = sdtasdt0(xq,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1118]) ).
tcf(c_12190,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),xp) = sdtasdt0(xp,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1117]) ).
tcf(c_12191,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),xb) = sdtasdt0(xb,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1116]) ).
tcf(c_12192,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),xa) = sdtasdt0(xa,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_1115]) ).
tcf(c_12193,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xp)))) = smndt0(sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_951]) ).
tcf(c_12194,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),sz00) = smndt0(sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_937]) ).
tcf(c_12195,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_69]) ).
tcf(c_12196,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_923]) ).
tcf(c_12197,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xp)),X0),sdtasdt0(sdtasdt0(xq,smndt0(xp)),X1)) = sdtasdt0(sdtasdt0(xq,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_68]) ).
tcf(c_12198,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(xq,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_77]) ).
tcf(c_12199,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,smndt0(xp)),X0),X1) = sdtasdt0(sdtasdt0(xq,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_71]) ).
tcf(c_12200,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_909]) ).
tcf(c_12201,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),X0) = sdtpldt0(X0,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_76]) ).
tcf(c_12202,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),X0) = sdtasdt0(X0,sdtasdt0(xq,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_70]) ).
tcf(c_12203,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),sdtasdt0(xq,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_74]) ).
tcf(c_12204,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),smndt0(sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_73]) ).
tcf(c_12205,plain,
( ( sdtpldt0(sz00,sdtasdt0(xq,smndt0(xp))) = sdtasdt0(xq,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_63]) ).
tcf(c_12206,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xp)),sz00) = sdtasdt0(xq,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_62]) ).
tcf(c_12207,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_61]) ).
tcf(c_12208,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_60]) ).
tcf(c_12367,plain,
( ( sz00 = xq )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xq,smndt0(xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11662,c_59]) ).
tcf(c_12368,plain,
( aInteger0(sdtasdt0(xq,smndt0(xq)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11662,c_72]) ).
tcf(c_12369,plain,
( aInteger0(sdtasdt0(xq,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12368,c_53]) ).
tcf(c_12372,plain,
( ( smndt0(xq) = sz00 )
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xq,smndt0(xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12367,c_54,c_53]) ).
tcf(c_12380,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_2851]) ).
tcf(c_12381,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_2623]) ).
tcf(c_12382,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_2294]) ).
tcf(c_12383,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1883]) ).
tcf(c_12384,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xq))))) = smndt0(smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1835]) ).
tcf(c_12385,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xq)))),sz00) = smndt0(smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1774]) ).
tcf(c_12386,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_5023]) ).
tcf(c_12387,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_4917]) ).
tcf(c_12388,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xq)))),smndt0(sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1038]) ).
tcf(c_12389,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),smndt0(smndt0(sdtasdt0(xq,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1004]) ).
tcf(c_12390,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1582]) ).
tcf(c_12391,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1264]) ).
tcf(c_12392,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1187]) ).
tcf(c_12393,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),xm) = sdtpldt0(xm,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1186]) ).
tcf(c_12394,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),xq) = sdtpldt0(xq,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1185]) ).
tcf(c_12395,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),xp) = sdtpldt0(xp,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1184]) ).
tcf(c_12396,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),xb) = sdtpldt0(xb,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1183]) ).
tcf(c_12397,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),xa) = sdtpldt0(xa,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1182]) ).
tcf(c_12398,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1120]) ).
tcf(c_12399,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),xm) = sdtasdt0(xm,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1119]) ).
tcf(c_12400,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),xq) = sdtasdt0(xq,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1118]) ).
tcf(c_12401,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),xp) = sdtasdt0(xp,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1117]) ).
tcf(c_12402,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),xb) = sdtasdt0(xb,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1116]) ).
tcf(c_12403,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),xa) = sdtasdt0(xa,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_1115]) ).
tcf(c_12404,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xq)))) = smndt0(sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_951]) ).
tcf(c_12405,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),sz00) = smndt0(sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_937]) ).
tcf(c_12406,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_69]) ).
tcf(c_12407,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_923]) ).
tcf(c_12408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xq)),X0),sdtasdt0(sdtasdt0(xq,smndt0(xq)),X1)) = sdtasdt0(sdtasdt0(xq,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_68]) ).
tcf(c_12409,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,smndt0(xq)),X0),X1) = sdtpldt0(sdtasdt0(xq,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_77]) ).
tcf(c_12410,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,smndt0(xq)),X0),X1) = sdtasdt0(sdtasdt0(xq,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_71]) ).
tcf(c_12411,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_909]) ).
tcf(c_12412,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),X0) = sdtpldt0(X0,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_76]) ).
tcf(c_12413,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),X0) = sdtasdt0(X0,sdtasdt0(xq,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_70]) ).
tcf(c_12414,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),sdtasdt0(xq,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_74]) ).
tcf(c_12415,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),smndt0(sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_73]) ).
tcf(c_12416,plain,
( ( sdtpldt0(sz00,sdtasdt0(xq,smndt0(xq))) = sdtasdt0(xq,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_63]) ).
tcf(c_12417,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xq)),sz00) = sdtasdt0(xq,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_62]) ).
tcf(c_12418,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_61]) ).
tcf(c_12419,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_60]) ).
tcf(c_12546,plain,
( ( sz00 = xq )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xq,smndt0(xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11663,c_59]) ).
tcf(c_12547,plain,
( aInteger0(sdtasdt0(xq,smndt0(xm)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11663,c_72]) ).
tcf(c_12548,plain,
( aInteger0(sdtasdt0(xq,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12547,c_53]) ).
tcf(c_12551,plain,
( ( smndt0(xm) = sz00 )
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xq,smndt0(xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12546,c_54,c_53]) ).
tcf(c_12559,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_2851]) ).
tcf(c_12560,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_2623]) ).
tcf(c_12561,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_2294]) ).
tcf(c_12562,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1883]) ).
tcf(c_12563,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xm))))) = smndt0(smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1835]) ).
tcf(c_12564,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1774]) ).
tcf(c_12565,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_5023]) ).
tcf(c_12566,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_4917]) ).
tcf(c_12567,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xm)))),smndt0(sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1038]) ).
tcf(c_12568,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),smndt0(smndt0(sdtasdt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1004]) ).
tcf(c_12569,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1582]) ).
tcf(c_12570,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1264]) ).
tcf(c_12571,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1187]) ).
tcf(c_12572,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1186]) ).
tcf(c_12573,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1185]) ).
tcf(c_12574,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1184]) ).
tcf(c_12575,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1183]) ).
tcf(c_12576,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1182]) ).
tcf(c_12577,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1120]) ).
tcf(c_12578,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1119]) ).
tcf(c_12579,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1118]) ).
tcf(c_12580,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1117]) ).
tcf(c_12581,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1116]) ).
tcf(c_12582,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_1115]) ).
tcf(c_12583,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xm)))) = smndt0(sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_951]) ).
tcf(c_12584,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),sz00) = smndt0(sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_937]) ).
tcf(c_12585,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_69]) ).
tcf(c_12586,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_923]) ).
tcf(c_12587,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,smndt0(xm)),X0),sdtasdt0(sdtasdt0(xq,smndt0(xm)),X1)) = sdtasdt0(sdtasdt0(xq,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_68]) ).
tcf(c_12588,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,smndt0(xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_77]) ).
tcf(c_12589,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,smndt0(xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_71]) ).
tcf(c_12590,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_909]) ).
tcf(c_12591,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_76]) ).
tcf(c_12592,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_70]) ).
tcf(c_12593,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),sdtasdt0(xq,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_74]) ).
tcf(c_12594,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),smndt0(sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_73]) ).
tcf(c_12595,plain,
( ( sdtpldt0(sz00,sdtasdt0(xq,smndt0(xm))) = sdtasdt0(xq,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_63]) ).
tcf(c_12596,plain,
( ( sdtpldt0(sdtasdt0(xq,smndt0(xm)),sz00) = sdtasdt0(xq,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_62]) ).
tcf(c_12597,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_61]) ).
tcf(c_12598,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_60]) ).
tcf(c_12781,plain,
( ( xb = sz00 )
| ( sdtasdt0(xb,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xb,xm))
| ( sdtasdt0(xb,sdtasdt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2527,c_59]) ).
tcf(c_12782,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xb,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_2527,c_72]) ).
tcf(c_12783,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_12782,c_50,c_2484]) ).
tcf(c_12784,plain,
( ( xb = sz00 )
| ( sdtasdt0(xb,xm) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12781,c_50,c_2484]) ).
tcf(c_12788,plain,
( ( xa = sz00 )
| ( sdtasdt0(xb,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xb,xm))
| ( sdtasdt0(xa,sdtasdt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2528,c_59]) ).
tcf(c_12789,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xb,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_2528,c_72]) ).
tcf(c_12790,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_12789,c_49,c_2484]) ).
tcf(c_12791,plain,
( ( xa = sz00 )
| ( sdtasdt0(xb,xm) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12788,c_49,c_2484]) ).
tcf(c_12808,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_2851]) ).
tcf(c_12809,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_2623]) ).
tcf(c_12810,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_2294]) ).
tcf(c_12811,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_1883]) ).
tcf(c_12812,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_1835]) ).
tcf(c_12813,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_1774]) ).
tcf(c_12814,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_5023]) ).
tcf(c_12815,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12783,c_4917]) ).
tcf(c_12816,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_1038]) ).
tcf(c_12817,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_1004]) ).
tcf(c_12818,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_1582]) ).
tcf(c_12819,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12783,c_1264]) ).
tcf(c_12820,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1187]) ).
tcf(c_12821,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1186]) ).
tcf(c_12822,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1185]) ).
tcf(c_12823,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1184]) ).
tcf(c_12824,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1183]) ).
tcf(c_12825,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1182]) ).
tcf(c_12826,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1120]) ).
tcf(c_12827,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1119]) ).
tcf(c_12828,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1118]) ).
tcf(c_12829,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1117]) ).
tcf(c_12830,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1116]) ).
tcf(c_12831,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_1115]) ).
tcf(c_12832,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))) = smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_951]) ).
tcf(c_12833,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12783,c_937]) ).
tcf(c_12834,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12783,c_69]) ).
tcf(c_12835,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_923]) ).
tcf(c_12836,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12783,c_68]) ).
tcf(c_12837,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12783,c_77]) ).
tcf(c_12838,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12783,c_71]) ).
tcf(c_12839,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12783,c_909]) ).
tcf(c_12840,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12783,c_76]) ).
tcf(c_12841,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12783,c_70]) ).
tcf(c_12842,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),sdtasdt0(xb,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_74]) ).
tcf(c_12843,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_73]) ).
tcf(c_12844,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xb,xm))) = sdtasdt0(xb,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_12783,c_63]) ).
tcf(c_12845,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xb,xm)),sz00) = sdtasdt0(xb,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_12783,c_62]) ).
tcf(c_12846,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_61]) ).
tcf(c_12847,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_12783,c_60]) ).
tcf(c_12894,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_2851]) ).
tcf(c_12895,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_2623]) ).
tcf(c_12896,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_2294]) ).
tcf(c_12897,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_1883]) ).
tcf(c_12898,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_1835]) ).
tcf(c_12899,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_1774]) ).
tcf(c_12900,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_5023]) ).
tcf(c_12901,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12790,c_4917]) ).
tcf(c_12902,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_1038]) ).
tcf(c_12903,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_1004]) ).
tcf(c_12904,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_1582]) ).
tcf(c_12905,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12790,c_1264]) ).
tcf(c_12906,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1187]) ).
tcf(c_12907,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1186]) ).
tcf(c_12908,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1185]) ).
tcf(c_12909,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1184]) ).
tcf(c_12910,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1183]) ).
tcf(c_12911,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1182]) ).
tcf(c_12912,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1120]) ).
tcf(c_12913,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1119]) ).
tcf(c_12914,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1118]) ).
tcf(c_12915,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1117]) ).
tcf(c_12916,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1116]) ).
tcf(c_12917,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_1115]) ).
tcf(c_12918,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))) = smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_951]) ).
tcf(c_12919,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_12790,c_937]) ).
tcf(c_12920,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12790,c_69]) ).
tcf(c_12921,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_923]) ).
tcf(c_12922,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12790,c_68]) ).
tcf(c_12923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12790,c_77]) ).
tcf(c_12924,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12790,c_71]) ).
tcf(c_12925,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12790,c_909]) ).
tcf(c_12926,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12790,c_76]) ).
tcf(c_12927,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12790,c_70]) ).
tcf(c_12928,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),sdtasdt0(xa,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_74]) ).
tcf(c_12929,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_73]) ).
tcf(c_12930,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xb,xm))) = sdtasdt0(xa,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_12790,c_63]) ).
tcf(c_12931,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xb,xm)),sz00) = sdtasdt0(xa,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_12790,c_62]) ).
tcf(c_12932,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_61]) ).
tcf(c_12933,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_12790,c_60]) ).
tcf(c_13090,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,xa) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xa))
| ( sdtasdt0(xp,sdtasdt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2626,c_59]) ).
tcf(c_13091,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xp,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_2626,c_72]) ).
tcf(c_13092,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_13091,c_51,c_1975]) ).
tcf(c_13093,plain,
( ( sdtasdt0(xp,xa) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13090,c_52,c_51,c_1975]) ).
tcf(c_13096,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_2851]) ).
tcf(c_13097,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_2623]) ).
tcf(c_13098,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_2294]) ).
tcf(c_13099,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_1883]) ).
tcf(c_13100,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_1835]) ).
tcf(c_13101,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_1774]) ).
tcf(c_13102,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_5023]) ).
tcf(c_13103,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13092,c_4917]) ).
tcf(c_13104,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_1038]) ).
tcf(c_13105,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_1004]) ).
tcf(c_13106,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_1582]) ).
tcf(c_13107,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13092,c_1264]) ).
tcf(c_13108,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1187]) ).
tcf(c_13109,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1186]) ).
tcf(c_13110,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1185]) ).
tcf(c_13111,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1184]) ).
tcf(c_13112,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1183]) ).
tcf(c_13113,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1182]) ).
tcf(c_13114,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1120]) ).
tcf(c_13115,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1119]) ).
tcf(c_13116,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1118]) ).
tcf(c_13117,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1117]) ).
tcf(c_13118,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1116]) ).
tcf(c_13119,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_1115]) ).
tcf(c_13120,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_951]) ).
tcf(c_13121,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_13092,c_937]) ).
tcf(c_13122,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_69]) ).
tcf(c_13123,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_923]) ).
tcf(c_13124,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_68]) ).
tcf(c_13125,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_77]) ).
tcf(c_13126,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_71]) ).
tcf(c_13127,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13092,c_909]) ).
tcf(c_13128,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_76]) ).
tcf(c_13129,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_70]) ).
tcf(c_13130,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),sdtasdt0(xp,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_74]) ).
tcf(c_13131,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_73]) ).
tcf(c_13132,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xa))) = sdtasdt0(xp,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_13092,c_63]) ).
tcf(c_13133,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xa)),sz00) = sdtasdt0(xp,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_13092,c_62]) ).
tcf(c_13134,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_61]) ).
tcf(c_13135,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13092,c_60]) ).
tcf(c_13186,plain,
( ( xp = sz00 )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ( sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_2625,c_59]) ).
tcf(c_13187,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_2625,c_72]) ).
tcf(c_13188,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_13187,c_51,c_1633]) ).
tcf(c_13189,plain,
( ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13186,c_52,c_51,c_1633]) ).
tcf(c_13192,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_2851]) ).
tcf(c_13193,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_2623]) ).
tcf(c_13194,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_2294]) ).
tcf(c_13195,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_1883]) ).
tcf(c_13196,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_1835]) ).
tcf(c_13197,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_1774]) ).
tcf(c_13198,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_5023]) ).
tcf(c_13199,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13188,c_4917]) ).
tcf(c_13200,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_1038]) ).
tcf(c_13201,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_1004]) ).
tcf(c_13202,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_1582]) ).
tcf(c_13203,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13188,c_1264]) ).
tcf(c_13204,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1187]) ).
tcf(c_13205,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1186]) ).
tcf(c_13206,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1185]) ).
tcf(c_13207,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1184]) ).
tcf(c_13208,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1183]) ).
tcf(c_13209,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1182]) ).
tcf(c_13210,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1120]) ).
tcf(c_13211,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1119]) ).
tcf(c_13212,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1118]) ).
tcf(c_13213,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1117]) ).
tcf(c_13214,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1116]) ).
tcf(c_13215,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_1115]) ).
tcf(c_13216,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_951]) ).
tcf(c_13217,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13188,c_937]) ).
tcf(c_13218,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13188,c_69]) ).
tcf(c_13219,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_923]) ).
tcf(c_13220,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13188,c_68]) ).
tcf(c_13221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13188,c_77]) ).
tcf(c_13222,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13188,c_71]) ).
tcf(c_13223,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13188,c_909]) ).
tcf(c_13224,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13188,c_76]) ).
tcf(c_13225,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13188,c_70]) ).
tcf(c_13226,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_74]) ).
tcf(c_13227,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_73]) ).
tcf(c_13228,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))) = sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_13188,c_63]) ).
tcf(c_13229,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_13188,c_62]) ).
tcf(c_13230,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_61]) ).
tcf(c_13231,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13188,c_60]) ).
tcf(c_13299,plain,
sdtasdt0(smndt0(xa),xm) = sdtasdt0(xm,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_3080]) ).
tcf(c_13300,plain,
sdtasdt0(smndt0(xb),xm) = sdtasdt0(xm,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_3080]) ).
tcf(c_13301,plain,
sdtasdt0(smndt0(xp),xm) = sdtasdt0(xm,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_3080]) ).
tcf(c_13302,plain,
sdtasdt0(smndt0(xq),xm) = sdtasdt0(xm,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_3080]) ).
tcf(c_13303,plain,
sdtasdt0(smndt0(xm),xm) = sdtasdt0(xm,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_3080]) ).
tcf(c_13304,plain,
sdtasdt0(smndt0(sz00),xm) = sdtasdt0(xm,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_3080]) ).
tcf(c_13305,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_3080]) ).
tcf(c_13306,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),xm) = sdtasdt0(xm,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_3080]) ).
tcf(c_13307,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_3080]) ).
tcf(c_13308,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_3080]) ).
tcf(c_13309,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_3080]) ).
tcf(c_13310,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_3080]) ).
tcf(c_13311,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_3080]) ).
tcf(c_13312,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_3080]) ).
tcf(c_13313,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_3080]) ).
tcf(c_13314,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_3080]) ).
tcf(c_13315,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_3080]) ).
tcf(c_13316,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_3080]) ).
tcf(c_13317,plain,
sdtasdt0(smndt0(sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_3080]) ).
tcf(c_13318,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_3080]) ).
tcf(c_13319,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_3080]) ).
tcf(c_13320,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_3080]) ).
tcf(c_13321,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_3080]) ).
tcf(c_13322,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_3080]) ).
tcf(c_13323,plain,
sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_3080]) ).
tcf(c_13324,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_3080]) ).
tcf(c_13325,plain,
sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_3080]) ).
tcf(c_13326,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_3080]) ).
tcf(c_13327,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_3080]) ).
tcf(c_13328,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_3080]) ).
tcf(c_13329,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_3080]) ).
tcf(c_13330,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_3080]) ).
tcf(c_13331,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_3080]) ).
tcf(c_13332,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_3080]) ).
tcf(c_13333,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_3080]) ).
tcf(c_13334,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_3080]) ).
tcf(c_13335,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_3080]) ).
tcf(c_13336,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_3080]) ).
tcf(c_13337,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_3080]) ).
tcf(c_13338,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_3080]) ).
tcf(c_13339,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_3080]) ).
tcf(c_13340,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_3080]) ).
tcf(c_13341,plain,
sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_3080]) ).
tcf(c_13342,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_3080]) ).
tcf(c_13343,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_3080]) ).
tcf(c_13344,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_3080]) ).
tcf(c_13345,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_3080]) ).
tcf(c_13346,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_3080]) ).
tcf(c_13347,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_3080]) ).
tcf(c_13348,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_3080]) ).
tcf(c_13349,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_3080]) ).
tcf(c_13350,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_3080]) ).
tcf(c_13351,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_3080]) ).
tcf(c_13352,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_3080]) ).
tcf(c_13353,plain,
sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_3080]) ).
tcf(c_13354,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_3080]) ).
tcf(c_13355,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_3080]) ).
tcf(c_13356,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_3080]) ).
tcf(c_13357,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_3080]) ).
tcf(c_13358,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_3080]) ).
tcf(c_13359,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_3080]) ).
tcf(c_13360,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_3080]) ).
tcf(c_13361,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_3080]) ).
tcf(c_13362,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_3080]) ).
tcf(c_13363,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_3080]) ).
tcf(c_13364,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_3080]) ).
tcf(c_13365,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_3080]) ).
tcf(c_13366,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_3080]) ).
tcf(c_13580,plain,
( ( sz00 = xm )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xm,smndt0(xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13299,c_59]) ).
tcf(c_13581,plain,
( aInteger0(sdtasdt0(xm,smndt0(xa)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13299,c_72]) ).
tcf(c_13582,plain,
( aInteger0(sdtasdt0(xm,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13581,c_56]) ).
tcf(c_13585,plain,
( ( sz00 = xm )
| ( smndt0(xa) = sz00 )
| ~ aInteger0(smndt0(xa))
| ( sdtasdt0(xm,smndt0(xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13580,c_56]) ).
tcf(c_13594,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_3080]) ).
tcf(c_13595,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_2851]) ).
tcf(c_13596,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_2623]) ).
tcf(c_13597,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_2294]) ).
tcf(c_13598,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1883]) ).
tcf(c_13599,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xa))))) = smndt0(smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1835]) ).
tcf(c_13600,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xa)))),sz00) = smndt0(smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1774]) ).
tcf(c_13601,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_5023]) ).
tcf(c_13602,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_4917]) ).
tcf(c_13603,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xa)))),smndt0(sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1038]) ).
tcf(c_13604,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),smndt0(smndt0(sdtasdt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1004]) ).
tcf(c_13605,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1582]) ).
tcf(c_13606,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1264]) ).
tcf(c_13607,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1187]) ).
tcf(c_13608,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),xm) = sdtpldt0(xm,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1186]) ).
tcf(c_13609,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),xq) = sdtpldt0(xq,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1185]) ).
tcf(c_13610,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),xp) = sdtpldt0(xp,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1184]) ).
tcf(c_13611,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),xb) = sdtpldt0(xb,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1183]) ).
tcf(c_13612,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),xa) = sdtpldt0(xa,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1182]) ).
tcf(c_13613,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1120]) ).
tcf(c_13614,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),xm) = sdtasdt0(xm,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1119]) ).
tcf(c_13615,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),xq) = sdtasdt0(xq,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1118]) ).
tcf(c_13616,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),xp) = sdtasdt0(xp,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1117]) ).
tcf(c_13617,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),xb) = sdtasdt0(xb,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1116]) ).
tcf(c_13618,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),xa) = sdtasdt0(xa,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_1115]) ).
tcf(c_13619,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xa)))) = smndt0(sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_951]) ).
tcf(c_13620,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),sz00) = smndt0(sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_937]) ).
tcf(c_13621,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_69]) ).
tcf(c_13622,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_923]) ).
tcf(c_13623,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xa)),X0),sdtasdt0(sdtasdt0(xm,smndt0(xa)),X1)) = sdtasdt0(sdtasdt0(xm,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_68]) ).
tcf(c_13624,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,smndt0(xa)),X0),X1) = sdtpldt0(sdtasdt0(xm,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_77]) ).
tcf(c_13625,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,smndt0(xa)),X0),X1) = sdtasdt0(sdtasdt0(xm,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_71]) ).
tcf(c_13626,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_909]) ).
tcf(c_13627,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),X0) = sdtpldt0(X0,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_76]) ).
tcf(c_13628,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),X0) = sdtasdt0(X0,sdtasdt0(xm,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_70]) ).
tcf(c_13629,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),sdtasdt0(xm,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_74]) ).
tcf(c_13630,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),smndt0(sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_73]) ).
tcf(c_13631,plain,
( ( sdtpldt0(sz00,sdtasdt0(xm,smndt0(xa))) = sdtasdt0(xm,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_63]) ).
tcf(c_13632,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xa)),sz00) = sdtasdt0(xm,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_62]) ).
tcf(c_13633,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_61]) ).
tcf(c_13634,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_60]) ).
tcf(c_13750,plain,
( ( sz00 = xm )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xm,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13300,c_59]) ).
tcf(c_13751,plain,
( aInteger0(sdtasdt0(xm,smndt0(xb)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_13300,c_72]) ).
tcf(c_13752,plain,
( aInteger0(sdtasdt0(xm,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13751,c_56]) ).
tcf(c_13755,plain,
( ( sz00 = xm )
| ( smndt0(xb) = sz00 )
| ~ aInteger0(smndt0(xb))
| ( sdtasdt0(xm,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13750,c_56]) ).
tcf(c_13766,plain,
aInteger0(sdtasdt0(xm,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_13752,c_50,c_1168,c_13752]) ).
tcf(c_13768,plain,
sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_3080]) ).
tcf(c_13769,plain,
sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_2851]) ).
tcf(c_13770,plain,
sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_2623]) ).
tcf(c_13771,plain,
sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_2294]) ).
tcf(c_13772,plain,
sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_1883]) ).
tcf(c_13773,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xb))))) = smndt0(smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_1835]) ).
tcf(c_13774,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xb)))),sz00) = smndt0(smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_1774]) ).
tcf(c_13775,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_5023]) ).
tcf(c_13776,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13766,c_4917]) ).
tcf(c_13777,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xb)))),smndt0(sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_1038]) ).
tcf(c_13778,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),smndt0(smndt0(sdtasdt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_1004]) ).
tcf(c_13779,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_1582]) ).
tcf(c_13780,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13766,c_1264]) ).
tcf(c_13781,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1187]) ).
tcf(c_13782,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),xm) = sdtpldt0(xm,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1186]) ).
tcf(c_13783,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),xq) = sdtpldt0(xq,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1185]) ).
tcf(c_13784,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),xp) = sdtpldt0(xp,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1184]) ).
tcf(c_13785,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),xb) = sdtpldt0(xb,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1183]) ).
tcf(c_13786,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),xa) = sdtpldt0(xa,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1182]) ).
tcf(c_13787,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1120]) ).
tcf(c_13788,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xb)),xm) = sdtasdt0(xm,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1119]) ).
tcf(c_13789,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xb)),xq) = sdtasdt0(xq,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1118]) ).
tcf(c_13790,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xb)),xp) = sdtasdt0(xp,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1117]) ).
tcf(c_13791,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xb)),xb) = sdtasdt0(xb,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1116]) ).
tcf(c_13792,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xb)),xa) = sdtasdt0(xa,sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_1115]) ).
tcf(c_13793,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xb)))) = smndt0(sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_951]) ).
tcf(c_13794,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),sz00) = smndt0(sdtasdt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_13766,c_937]) ).
tcf(c_13795,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13766,c_69]) ).
tcf(c_13796,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_923]) ).
tcf(c_13797,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xb)),X0),sdtasdt0(sdtasdt0(xm,smndt0(xb)),X1)) = sdtasdt0(sdtasdt0(xm,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13766,c_68]) ).
tcf(c_13798,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,smndt0(xb)),X0),X1) = sdtpldt0(sdtasdt0(xm,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13766,c_77]) ).
tcf(c_13799,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,smndt0(xb)),X0),X1) = sdtasdt0(sdtasdt0(xm,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13766,c_71]) ).
tcf(c_13800,plain,
sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13766,c_909]) ).
tcf(c_13801,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,smndt0(xb)),X0) = sdtpldt0(X0,sdtasdt0(xm,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13766,c_76]) ).
tcf(c_13802,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,smndt0(xb)),X0) = sdtasdt0(X0,sdtasdt0(xm,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13766,c_70]) ).
tcf(c_13803,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),sdtasdt0(xm,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_74]) ).
tcf(c_13804,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),smndt0(sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_73]) ).
tcf(c_13805,plain,
sdtpldt0(sz00,sdtasdt0(xm,smndt0(xb))) = sdtasdt0(xm,smndt0(xb)),
inference(superposition,[status(thm)],[c_13766,c_63]) ).
tcf(c_13806,plain,
sdtpldt0(sdtasdt0(xm,smndt0(xb)),sz00) = sdtasdt0(xm,smndt0(xb)),
inference(superposition,[status(thm)],[c_13766,c_62]) ).
tcf(c_13807,plain,
sdtasdt0(sz00,sdtasdt0(xm,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_61]) ).
tcf(c_13808,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13766,c_60]) ).
tcf(c_13940,plain,
( ( sz00 = xm )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xm,smndt0(xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13301,c_59]) ).
tcf(c_13941,plain,
( aInteger0(sdtasdt0(xm,smndt0(xp)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13301,c_72]) ).
tcf(c_13942,plain,
( aInteger0(sdtasdt0(xm,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13941,c_56]) ).
tcf(c_13945,plain,
( ( sz00 = xm )
| ( smndt0(xp) = sz00 )
| ~ aInteger0(smndt0(xp))
| ( sdtasdt0(xm,smndt0(xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13940,c_56]) ).
tcf(c_13954,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_3080]) ).
tcf(c_13955,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_2851]) ).
tcf(c_13956,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_2623]) ).
tcf(c_13957,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_2294]) ).
tcf(c_13958,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1883]) ).
tcf(c_13959,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xp))))) = smndt0(smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1835]) ).
tcf(c_13960,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xp)))),sz00) = smndt0(smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1774]) ).
tcf(c_13961,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_5023]) ).
tcf(c_13962,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_4917]) ).
tcf(c_13963,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xp)))),smndt0(sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1038]) ).
tcf(c_13964,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),smndt0(smndt0(sdtasdt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1004]) ).
tcf(c_13965,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1582]) ).
tcf(c_13966,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1264]) ).
tcf(c_13967,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1187]) ).
tcf(c_13968,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),xm) = sdtpldt0(xm,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1186]) ).
tcf(c_13969,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),xq) = sdtpldt0(xq,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1185]) ).
tcf(c_13970,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),xp) = sdtpldt0(xp,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1184]) ).
tcf(c_13971,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),xb) = sdtpldt0(xb,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1183]) ).
tcf(c_13972,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),xa) = sdtpldt0(xa,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1182]) ).
tcf(c_13973,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1120]) ).
tcf(c_13974,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),xm) = sdtasdt0(xm,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1119]) ).
tcf(c_13975,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),xq) = sdtasdt0(xq,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1118]) ).
tcf(c_13976,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),xp) = sdtasdt0(xp,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1117]) ).
tcf(c_13977,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),xb) = sdtasdt0(xb,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1116]) ).
tcf(c_13978,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),xa) = sdtasdt0(xa,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_1115]) ).
tcf(c_13979,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xp)))) = smndt0(sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_951]) ).
tcf(c_13980,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),sz00) = smndt0(sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_937]) ).
tcf(c_13981,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_69]) ).
tcf(c_13982,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_923]) ).
tcf(c_13983,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xp)),X0),sdtasdt0(sdtasdt0(xm,smndt0(xp)),X1)) = sdtasdt0(sdtasdt0(xm,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_68]) ).
tcf(c_13984,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(xm,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_77]) ).
tcf(c_13985,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,smndt0(xp)),X0),X1) = sdtasdt0(sdtasdt0(xm,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_71]) ).
tcf(c_13986,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_909]) ).
tcf(c_13987,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),X0) = sdtpldt0(X0,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_76]) ).
tcf(c_13988,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),X0) = sdtasdt0(X0,sdtasdt0(xm,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_70]) ).
tcf(c_13989,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),sdtasdt0(xm,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_74]) ).
tcf(c_13990,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),smndt0(sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_73]) ).
tcf(c_13991,plain,
( ( sdtpldt0(sz00,sdtasdt0(xm,smndt0(xp))) = sdtasdt0(xm,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_63]) ).
tcf(c_13992,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xp)),sz00) = sdtasdt0(xm,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_62]) ).
tcf(c_13993,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_61]) ).
tcf(c_13994,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_60]) ).
tcf(c_14137,plain,
( ( sz00 = xm )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xm,smndt0(xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13302,c_59]) ).
tcf(c_14138,plain,
( aInteger0(sdtasdt0(xm,smndt0(xq)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_13302,c_72]) ).
tcf(c_14139,plain,
( aInteger0(sdtasdt0(xm,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14138,c_56]) ).
tcf(c_14142,plain,
( ( sz00 = xm )
| ( smndt0(xq) = sz00 )
| ~ aInteger0(smndt0(xq))
| ( sdtasdt0(xm,smndt0(xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14137,c_56]) ).
tcf(c_14151,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_3080]) ).
tcf(c_14152,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_2851]) ).
tcf(c_14153,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_2623]) ).
tcf(c_14154,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_2294]) ).
tcf(c_14155,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1883]) ).
tcf(c_14156,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xq))))) = smndt0(smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1835]) ).
tcf(c_14157,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xq)))),sz00) = smndt0(smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1774]) ).
tcf(c_14158,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_5023]) ).
tcf(c_14159,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_4917]) ).
tcf(c_14160,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xq)))),smndt0(sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1038]) ).
tcf(c_14161,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),smndt0(smndt0(sdtasdt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1004]) ).
tcf(c_14162,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1582]) ).
tcf(c_14163,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1264]) ).
tcf(c_14164,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1187]) ).
tcf(c_14165,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),xm) = sdtpldt0(xm,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1186]) ).
tcf(c_14166,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),xq) = sdtpldt0(xq,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1185]) ).
tcf(c_14167,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),xp) = sdtpldt0(xp,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1184]) ).
tcf(c_14168,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),xb) = sdtpldt0(xb,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1183]) ).
tcf(c_14169,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),xa) = sdtpldt0(xa,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1182]) ).
tcf(c_14170,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1120]) ).
tcf(c_14171,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),xm) = sdtasdt0(xm,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1119]) ).
tcf(c_14172,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),xq) = sdtasdt0(xq,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1118]) ).
tcf(c_14173,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),xp) = sdtasdt0(xp,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1117]) ).
tcf(c_14174,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),xb) = sdtasdt0(xb,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1116]) ).
tcf(c_14175,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),xa) = sdtasdt0(xa,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_1115]) ).
tcf(c_14176,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xq)))) = smndt0(sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_951]) ).
tcf(c_14177,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),sz00) = smndt0(sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_937]) ).
tcf(c_14178,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_69]) ).
tcf(c_14179,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_923]) ).
tcf(c_14180,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xq)),X0),sdtasdt0(sdtasdt0(xm,smndt0(xq)),X1)) = sdtasdt0(sdtasdt0(xm,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_68]) ).
tcf(c_14181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,smndt0(xq)),X0),X1) = sdtpldt0(sdtasdt0(xm,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_77]) ).
tcf(c_14182,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,smndt0(xq)),X0),X1) = sdtasdt0(sdtasdt0(xm,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_71]) ).
tcf(c_14183,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_909]) ).
tcf(c_14184,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),X0) = sdtpldt0(X0,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_76]) ).
tcf(c_14185,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),X0) = sdtasdt0(X0,sdtasdt0(xm,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_70]) ).
tcf(c_14186,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),sdtasdt0(xm,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_74]) ).
tcf(c_14187,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),smndt0(sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_73]) ).
tcf(c_14188,plain,
( ( sdtpldt0(sz00,sdtasdt0(xm,smndt0(xq))) = sdtasdt0(xm,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_63]) ).
tcf(c_14189,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xq)),sz00) = sdtasdt0(xm,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_62]) ).
tcf(c_14190,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_61]) ).
tcf(c_14191,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_60]) ).
tcf(c_14314,plain,
( ( sz00 = xm )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xm,smndt0(xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13303,c_59]) ).
tcf(c_14315,plain,
( aInteger0(sdtasdt0(xm,smndt0(xm)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_13303,c_72]) ).
tcf(c_14316,plain,
( aInteger0(sdtasdt0(xm,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14315,c_56]) ).
tcf(c_14319,plain,
( ( sz00 = xm )
| ( smndt0(xm) = sz00 )
| ~ aInteger0(smndt0(xm))
| ( sdtasdt0(xm,smndt0(xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14314,c_56]) ).
tcf(c_14333,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_3080]) ).
tcf(c_14334,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_2851]) ).
tcf(c_14335,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_2623]) ).
tcf(c_14336,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_2294]) ).
tcf(c_14337,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1883]) ).
tcf(c_14338,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xm))))) = smndt0(smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1835]) ).
tcf(c_14339,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1774]) ).
tcf(c_14340,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_5023]) ).
tcf(c_14341,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_4917]) ).
tcf(c_14342,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xm)))),smndt0(sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1038]) ).
tcf(c_14343,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),smndt0(smndt0(sdtasdt0(xm,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1004]) ).
tcf(c_14344,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1582]) ).
tcf(c_14345,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1264]) ).
tcf(c_14346,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1187]) ).
tcf(c_14347,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1186]) ).
tcf(c_14348,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1185]) ).
tcf(c_14349,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1184]) ).
tcf(c_14350,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1183]) ).
tcf(c_14351,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1182]) ).
tcf(c_14352,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1120]) ).
tcf(c_14353,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1119]) ).
tcf(c_14354,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1118]) ).
tcf(c_14355,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1117]) ).
tcf(c_14356,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1116]) ).
tcf(c_14357,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_1115]) ).
tcf(c_14358,plain,
( ( sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xm)))) = smndt0(sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_951]) ).
tcf(c_14359,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),sz00) = smndt0(sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_937]) ).
tcf(c_14360,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_69]) ).
tcf(c_14361,plain,
( ( sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_923]) ).
tcf(c_14362,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,smndt0(xm)),X0),sdtasdt0(sdtasdt0(xm,smndt0(xm)),X1)) = sdtasdt0(sdtasdt0(xm,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_68]) ).
tcf(c_14363,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,smndt0(xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_77]) ).
tcf(c_14364,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,smndt0(xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_71]) ).
tcf(c_14365,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_909]) ).
tcf(c_14366,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_76]) ).
tcf(c_14367,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_70]) ).
tcf(c_14368,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),sdtasdt0(xm,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_74]) ).
tcf(c_14369,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),smndt0(sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_73]) ).
tcf(c_14370,plain,
( ( sdtpldt0(sz00,sdtasdt0(xm,smndt0(xm))) = sdtasdt0(xm,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_63]) ).
tcf(c_14371,plain,
( ( sdtpldt0(sdtasdt0(xm,smndt0(xm)),sz00) = sdtasdt0(xm,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_62]) ).
tcf(c_14372,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_61]) ).
tcf(c_14373,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_60]) ).
tcf(c_14564,plain,
( ( xp = sz00 )
| ( sdtasdt0(xa,xb) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,xb))
| ( sdtasdt0(xp,sdtasdt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2627,c_59]) ).
tcf(c_14565,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xa,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_2627,c_72]) ).
tcf(c_14566,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_14565,c_51,c_1914]) ).
tcf(c_14567,plain,
( ( sdtasdt0(xa,xb) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14564,c_52,c_51,c_1914]) ).
tcf(c_14570,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_3080]) ).
tcf(c_14571,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_2851]) ).
tcf(c_14572,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_2623]) ).
tcf(c_14573,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_2294]) ).
tcf(c_14574,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_1883]) ).
tcf(c_14575,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_1835]) ).
tcf(c_14576,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_1774]) ).
tcf(c_14577,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_5023]) ).
tcf(c_14578,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14566,c_4917]) ).
tcf(c_14579,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_1038]) ).
tcf(c_14580,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_1004]) ).
tcf(c_14581,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_1582]) ).
tcf(c_14582,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14566,c_1264]) ).
tcf(c_14583,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1187]) ).
tcf(c_14584,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1186]) ).
tcf(c_14585,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1185]) ).
tcf(c_14586,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1184]) ).
tcf(c_14587,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1183]) ).
tcf(c_14588,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1182]) ).
tcf(c_14589,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1120]) ).
tcf(c_14590,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1119]) ).
tcf(c_14591,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1118]) ).
tcf(c_14592,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1117]) ).
tcf(c_14593,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1116]) ).
tcf(c_14594,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_1115]) ).
tcf(c_14595,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))) = smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_951]) ).
tcf(c_14596,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_14566,c_937]) ).
tcf(c_14597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14566,c_69]) ).
tcf(c_14598,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_923]) ).
tcf(c_14599,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14566,c_68]) ).
tcf(c_14600,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14566,c_77]) ).
tcf(c_14601,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14566,c_71]) ).
tcf(c_14602,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14566,c_909]) ).
tcf(c_14603,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14566,c_76]) ).
tcf(c_14604,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14566,c_70]) ).
tcf(c_14605,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),sdtasdt0(xp,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_74]) ).
tcf(c_14606,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_73]) ).
tcf(c_14607,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xb))) = sdtasdt0(xp,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_14566,c_63]) ).
tcf(c_14608,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xb)),sz00) = sdtasdt0(xp,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_14566,c_62]) ).
tcf(c_14609,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_61]) ).
tcf(c_14610,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14566,c_60]) ).
tcf(c_14695,plain,
( ( xp = sz00 )
| ( sdtasdt0(xq,xa) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xa))
| ( sdtasdt0(xp,sdtasdt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2628,c_59]) ).
tcf(c_14696,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xq,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_2628,c_72]) ).
tcf(c_14697,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_14696,c_51,c_2091]) ).
tcf(c_14698,plain,
( ( sdtasdt0(xq,xa) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14695,c_52,c_51,c_2091]) ).
tcf(c_14714,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_3080]) ).
tcf(c_14715,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_2851]) ).
tcf(c_14716,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_2623]) ).
tcf(c_14717,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_2294]) ).
tcf(c_14718,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_1883]) ).
tcf(c_14719,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_1835]) ).
tcf(c_14720,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_1774]) ).
tcf(c_14721,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_5023]) ).
tcf(c_14722,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14697,c_4917]) ).
tcf(c_14723,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_1038]) ).
tcf(c_14724,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_1004]) ).
tcf(c_14725,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_1582]) ).
tcf(c_14726,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14697,c_1264]) ).
tcf(c_14727,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1187]) ).
tcf(c_14728,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1186]) ).
tcf(c_14729,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1185]) ).
tcf(c_14730,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1184]) ).
tcf(c_14731,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1183]) ).
tcf(c_14732,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1182]) ).
tcf(c_14733,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1120]) ).
tcf(c_14734,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1119]) ).
tcf(c_14735,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1118]) ).
tcf(c_14736,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1117]) ).
tcf(c_14737,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1116]) ).
tcf(c_14738,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_1115]) ).
tcf(c_14739,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))) = smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_951]) ).
tcf(c_14740,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_14697,c_937]) ).
tcf(c_14741,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14697,c_69]) ).
tcf(c_14742,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_923]) ).
tcf(c_14743,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14697,c_68]) ).
tcf(c_14744,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14697,c_77]) ).
tcf(c_14745,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14697,c_71]) ).
tcf(c_14746,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14697,c_909]) ).
tcf(c_14747,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14697,c_76]) ).
tcf(c_14748,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14697,c_70]) ).
tcf(c_14749,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),sdtasdt0(xp,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_74]) ).
tcf(c_14750,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_73]) ).
tcf(c_14751,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xa))) = sdtasdt0(xp,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_14697,c_63]) ).
tcf(c_14752,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xa)),sz00) = sdtasdt0(xp,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_14697,c_62]) ).
tcf(c_14753,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_61]) ).
tcf(c_14754,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14697,c_60]) ).
tcf(c_14930,plain,
( ( xp = sz00 )
| ( sdtasdt0(xa,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,xm))
| ( sdtasdt0(xp,sdtasdt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2629,c_59]) ).
tcf(c_14931,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xa,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_2629,c_72]) ).
tcf(c_14932,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_14931,c_51,c_2166]) ).
tcf(c_14933,plain,
( ( sdtasdt0(xa,xm) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14930,c_52,c_51,c_2166]) ).
tcf(c_14936,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_3080]) ).
tcf(c_14937,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_2851]) ).
tcf(c_14938,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_2623]) ).
tcf(c_14939,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_2294]) ).
tcf(c_14940,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_1883]) ).
tcf(c_14941,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_1835]) ).
tcf(c_14942,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_1774]) ).
tcf(c_14943,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_5023]) ).
tcf(c_14944,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14932,c_4917]) ).
tcf(c_14945,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_1038]) ).
tcf(c_14946,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_1004]) ).
tcf(c_14947,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_1582]) ).
tcf(c_14948,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14932,c_1264]) ).
tcf(c_14949,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1187]) ).
tcf(c_14950,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1186]) ).
tcf(c_14951,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1185]) ).
tcf(c_14952,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1184]) ).
tcf(c_14953,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1183]) ).
tcf(c_14954,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1182]) ).
tcf(c_14955,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1120]) ).
tcf(c_14956,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1119]) ).
tcf(c_14957,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1118]) ).
tcf(c_14958,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1117]) ).
tcf(c_14959,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1116]) ).
tcf(c_14960,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_1115]) ).
tcf(c_14961,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))) = smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_951]) ).
tcf(c_14962,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_14932,c_937]) ).
tcf(c_14963,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14932,c_69]) ).
tcf(c_14964,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_923]) ).
tcf(c_14965,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14932,c_68]) ).
tcf(c_14966,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14932,c_77]) ).
tcf(c_14967,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14932,c_71]) ).
tcf(c_14968,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14932,c_909]) ).
tcf(c_14969,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14932,c_76]) ).
tcf(c_14970,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14932,c_70]) ).
tcf(c_14971,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),sdtasdt0(xp,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_74]) ).
tcf(c_14972,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_73]) ).
tcf(c_14973,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xm))) = sdtasdt0(xp,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_14932,c_63]) ).
tcf(c_14974,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,xm)),sz00) = sdtasdt0(xp,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_14932,c_62]) ).
tcf(c_14975,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_61]) ).
tcf(c_14976,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14932,c_60]) ).
tcf(c_15063,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,xb) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xb))
| ( sdtasdt0(xp,sdtasdt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2630,c_59]) ).
tcf(c_15064,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xp,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_2630,c_72]) ).
tcf(c_15065,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_15064,c_51,c_2315]) ).
tcf(c_15066,plain,
( ( sdtasdt0(xp,xb) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15063,c_52,c_51,c_2315]) ).
tcf(c_15069,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_3080]) ).
tcf(c_15070,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_2851]) ).
tcf(c_15071,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_2623]) ).
tcf(c_15072,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_2294]) ).
tcf(c_15073,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_1883]) ).
tcf(c_15074,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_1835]) ).
tcf(c_15075,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_1774]) ).
tcf(c_15076,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_5023]) ).
tcf(c_15077,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15065,c_4917]) ).
tcf(c_15078,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_1038]) ).
tcf(c_15079,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_1004]) ).
tcf(c_15080,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_1582]) ).
tcf(c_15081,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15065,c_1264]) ).
tcf(c_15082,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1187]) ).
tcf(c_15083,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1186]) ).
tcf(c_15084,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1185]) ).
tcf(c_15085,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1184]) ).
tcf(c_15086,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1183]) ).
tcf(c_15087,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1182]) ).
tcf(c_15088,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1120]) ).
tcf(c_15089,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1119]) ).
tcf(c_15090,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1118]) ).
tcf(c_15091,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1117]) ).
tcf(c_15092,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1116]) ).
tcf(c_15093,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_1115]) ).
tcf(c_15094,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_951]) ).
tcf(c_15095,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_15065,c_937]) ).
tcf(c_15096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15065,c_69]) ).
tcf(c_15097,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_923]) ).
tcf(c_15098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15065,c_68]) ).
tcf(c_15099,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15065,c_77]) ).
tcf(c_15100,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15065,c_71]) ).
tcf(c_15101,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15065,c_909]) ).
tcf(c_15102,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15065,c_76]) ).
tcf(c_15103,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15065,c_70]) ).
tcf(c_15104,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),sdtasdt0(xp,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_74]) ).
tcf(c_15105,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_73]) ).
tcf(c_15106,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xb))) = sdtasdt0(xp,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_15065,c_63]) ).
tcf(c_15107,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xb)),sz00) = sdtasdt0(xp,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_15065,c_62]) ).
tcf(c_15108,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_61]) ).
tcf(c_15109,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15065,c_60]) ).
tcf(c_15171,plain,
( ( xp = sz00 )
| ( sdtasdt0(xq,xb) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xb))
| ( sdtasdt0(xp,sdtasdt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2631,c_59]) ).
tcf(c_15172,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xq,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_2631,c_72]) ).
tcf(c_15173,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_15172,c_51,c_2420]) ).
tcf(c_15174,plain,
( ( sdtasdt0(xq,xb) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15171,c_52,c_51,c_2420]) ).
tcf(c_15177,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_3080]) ).
tcf(c_15178,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_2851]) ).
tcf(c_15179,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_2623]) ).
tcf(c_15180,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_2294]) ).
tcf(c_15181,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_1883]) ).
tcf(c_15182,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_1835]) ).
tcf(c_15183,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_1774]) ).
tcf(c_15184,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_5023]) ).
tcf(c_15185,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15173,c_4917]) ).
tcf(c_15186,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_1038]) ).
tcf(c_15187,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_1004]) ).
tcf(c_15188,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_1582]) ).
tcf(c_15189,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15173,c_1264]) ).
tcf(c_15190,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1187]) ).
tcf(c_15191,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1186]) ).
tcf(c_15192,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1185]) ).
tcf(c_15193,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1184]) ).
tcf(c_15194,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1183]) ).
tcf(c_15195,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1182]) ).
tcf(c_15196,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1120]) ).
tcf(c_15197,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1119]) ).
tcf(c_15198,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1118]) ).
tcf(c_15199,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1117]) ).
tcf(c_15200,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1116]) ).
tcf(c_15201,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_1115]) ).
tcf(c_15202,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))) = smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_951]) ).
tcf(c_15203,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_15173,c_937]) ).
tcf(c_15204,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15173,c_69]) ).
tcf(c_15205,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_923]) ).
tcf(c_15206,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15173,c_68]) ).
tcf(c_15207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15173,c_77]) ).
tcf(c_15208,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15173,c_71]) ).
tcf(c_15209,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15173,c_909]) ).
tcf(c_15210,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15173,c_76]) ).
tcf(c_15211,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15173,c_70]) ).
tcf(c_15212,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),sdtasdt0(xp,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_74]) ).
tcf(c_15213,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_73]) ).
tcf(c_15214,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xb))) = sdtasdt0(xp,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_15173,c_63]) ).
tcf(c_15215,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xb)),sz00) = sdtasdt0(xp,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_15173,c_62]) ).
tcf(c_15216,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_61]) ).
tcf(c_15217,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15173,c_60]) ).
tcf(c_15389,plain,
( ( xp = sz00 )
| ( sdtasdt0(xb,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xb,xm))
| ( sdtasdt0(xp,sdtasdt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2632,c_59]) ).
tcf(c_15390,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xb,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_2632,c_72]) ).
tcf(c_15391,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_15390,c_51,c_2484]) ).
tcf(c_15392,plain,
( ( sdtasdt0(xb,xm) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15389,c_52,c_51,c_2484]) ).
tcf(c_15411,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_3080]) ).
tcf(c_15412,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_2851]) ).
tcf(c_15413,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_2623]) ).
tcf(c_15414,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_2294]) ).
tcf(c_15415,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_1883]) ).
tcf(c_15416,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_1835]) ).
tcf(c_15417,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_1774]) ).
tcf(c_15418,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_5023]) ).
tcf(c_15419,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15391,c_4917]) ).
tcf(c_15420,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_1038]) ).
tcf(c_15421,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_1004]) ).
tcf(c_15422,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_1582]) ).
tcf(c_15423,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15391,c_1264]) ).
tcf(c_15424,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1187]) ).
tcf(c_15425,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1186]) ).
tcf(c_15426,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1185]) ).
tcf(c_15427,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1184]) ).
tcf(c_15428,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1183]) ).
tcf(c_15429,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1182]) ).
tcf(c_15430,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1120]) ).
tcf(c_15431,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1119]) ).
tcf(c_15432,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1118]) ).
tcf(c_15433,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1117]) ).
tcf(c_15434,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1116]) ).
tcf(c_15435,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_1115]) ).
tcf(c_15436,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))) = smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_951]) ).
tcf(c_15437,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_15391,c_937]) ).
tcf(c_15438,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15391,c_69]) ).
tcf(c_15439,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_923]) ).
tcf(c_15440,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15391,c_68]) ).
tcf(c_15441,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15391,c_77]) ).
tcf(c_15442,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15391,c_71]) ).
tcf(c_15443,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15391,c_909]) ).
tcf(c_15444,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15391,c_76]) ).
tcf(c_15445,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15391,c_70]) ).
tcf(c_15446,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),sdtasdt0(xp,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_74]) ).
tcf(c_15447,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_73]) ).
tcf(c_15448,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xb,xm))) = sdtasdt0(xp,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_15391,c_63]) ).
tcf(c_15449,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xb,xm)),sz00) = sdtasdt0(xp,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_15391,c_62]) ).
tcf(c_15450,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_61]) ).
tcf(c_15451,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15391,c_60]) ).
tcf(c_15643,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtasdt0(xp,sdtasdt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2663,c_59]) ).
tcf(c_15644,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xp,xq)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_2663,c_72]) ).
tcf(c_15645,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_15644,c_51,c_2661]) ).
tcf(c_15646,plain,
sdtasdt0(xp,sdtasdt0(xp,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_15643,c_52,c_2662,c_51,c_2661]) ).
tcf(c_15647,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_3080]) ).
tcf(c_15648,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_2851]) ).
tcf(c_15649,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_2623]) ).
tcf(c_15650,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_2294]) ).
tcf(c_15651,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_1883]) ).
tcf(c_15652,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_1835]) ).
tcf(c_15653,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_1774]) ).
tcf(c_15654,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_5023]) ).
tcf(c_15655,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15645,c_4917]) ).
tcf(c_15656,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_1038]) ).
tcf(c_15657,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_1004]) ).
tcf(c_15658,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_1582]) ).
tcf(c_15659,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15645,c_1264]) ).
tcf(c_15660,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1187]) ).
tcf(c_15661,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1186]) ).
tcf(c_15662,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1185]) ).
tcf(c_15663,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1184]) ).
tcf(c_15664,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1183]) ).
tcf(c_15665,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1182]) ).
tcf(c_15666,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1120]) ).
tcf(c_15667,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1119]) ).
tcf(c_15668,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1118]) ).
tcf(c_15669,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1117]) ).
tcf(c_15670,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1116]) ).
tcf(c_15671,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_1115]) ).
tcf(c_15672,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_951]) ).
tcf(c_15673,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15645,c_937]) ).
tcf(c_15674,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15645,c_69]) ).
tcf(c_15675,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_923]) ).
tcf(c_15676,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15645,c_68]) ).
tcf(c_15677,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15645,c_77]) ).
tcf(c_15678,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15645,c_71]) ).
tcf(c_15679,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15645,c_909]) ).
tcf(c_15680,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15645,c_76]) ).
tcf(c_15681,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15645,c_70]) ).
tcf(c_15682,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),sdtasdt0(xp,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_74]) ).
tcf(c_15683,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_73]) ).
tcf(c_15684,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xq))) = sdtasdt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_15645,c_63]) ).
tcf(c_15685,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xq)),sz00) = sdtasdt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_15645,c_62]) ).
tcf(c_15686,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_61]) ).
tcf(c_15687,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15645,c_60]) ).
tcf(c_15716,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtasdt0(xb,sdtasdt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2664,c_59]) ).
tcf(c_15717,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xp,xq)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_2664,c_72]) ).
tcf(c_15718,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_15717,c_50,c_2661]) ).
tcf(c_15719,plain,
( ( xb = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15716,c_2662,c_50,c_2661]) ).
tcf(c_15722,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_3080]) ).
tcf(c_15723,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_2851]) ).
tcf(c_15724,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_2623]) ).
tcf(c_15725,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_2294]) ).
tcf(c_15726,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_1883]) ).
tcf(c_15727,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_1835]) ).
tcf(c_15728,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_1774]) ).
tcf(c_15729,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_5023]) ).
tcf(c_15730,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15718,c_4917]) ).
tcf(c_15731,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_1038]) ).
tcf(c_15732,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_1004]) ).
tcf(c_15733,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_1582]) ).
tcf(c_15734,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15718,c_1264]) ).
tcf(c_15735,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1187]) ).
tcf(c_15736,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1186]) ).
tcf(c_15737,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1185]) ).
tcf(c_15738,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1184]) ).
tcf(c_15739,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1183]) ).
tcf(c_15740,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1182]) ).
tcf(c_15741,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1120]) ).
tcf(c_15742,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1119]) ).
tcf(c_15743,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1118]) ).
tcf(c_15744,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1117]) ).
tcf(c_15745,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1116]) ).
tcf(c_15746,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_1115]) ).
tcf(c_15747,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_951]) ).
tcf(c_15748,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_15718,c_937]) ).
tcf(c_15749,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15718,c_69]) ).
tcf(c_15750,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_923]) ).
tcf(c_15751,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15718,c_68]) ).
tcf(c_15752,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15718,c_77]) ).
tcf(c_15753,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15718,c_71]) ).
tcf(c_15754,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15718,c_909]) ).
tcf(c_15755,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15718,c_76]) ).
tcf(c_15756,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15718,c_70]) ).
tcf(c_15757,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),sdtasdt0(xb,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_74]) ).
tcf(c_15758,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_73]) ).
tcf(c_15759,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xq))) = sdtasdt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_15718,c_63]) ).
tcf(c_15760,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xq)),sz00) = sdtasdt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_15718,c_62]) ).
tcf(c_15761,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_61]) ).
tcf(c_15762,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15718,c_60]) ).
tcf(c_15791,plain,
sdtasdt0(smndt0(xa),sz00) = sdtasdt0(sz00,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_3124]) ).
tcf(c_15792,plain,
sdtasdt0(smndt0(xb),sz00) = sdtasdt0(sz00,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_3124]) ).
tcf(c_15793,plain,
sdtasdt0(smndt0(xp),sz00) = sdtasdt0(sz00,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_3124]) ).
tcf(c_15794,plain,
sdtasdt0(smndt0(xq),sz00) = sdtasdt0(sz00,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_3124]) ).
tcf(c_15795,plain,
sdtasdt0(smndt0(xm),sz00) = sdtasdt0(sz00,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_3124]) ).
tcf(c_15796,plain,
sdtasdt0(smndt0(sz00),sz00) = sdtasdt0(sz00,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_3124]) ).
tcf(c_15797,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_3124]) ).
tcf(c_15798,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz00) = sdtasdt0(sz00,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_3124]) ).
tcf(c_15799,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_3124]) ).
tcf(c_15800,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_3124]) ).
tcf(c_15801,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_3124]) ).
tcf(c_15802,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_3124]) ).
tcf(c_15803,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_3124]) ).
tcf(c_15804,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_3124]) ).
tcf(c_15805,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_3124]) ).
tcf(c_15806,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_3124]) ).
tcf(c_15807,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_3124]) ).
tcf(c_15808,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_3124]) ).
tcf(c_15809,plain,
sdtasdt0(smndt0(sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_3124]) ).
tcf(c_15810,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_3124]) ).
tcf(c_15811,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_3124]) ).
tcf(c_15812,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_3124]) ).
tcf(c_15813,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_3124]) ).
tcf(c_15814,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_3124]) ).
tcf(c_15815,plain,
sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_3124]) ).
tcf(c_15816,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_3124]) ).
tcf(c_15817,plain,
sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_3124]) ).
tcf(c_15818,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_3124]) ).
tcf(c_15819,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_3124]) ).
tcf(c_15820,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_3124]) ).
tcf(c_15821,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_3124]) ).
tcf(c_15822,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_3124]) ).
tcf(c_15823,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_3124]) ).
tcf(c_15824,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_3124]) ).
tcf(c_15825,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_3124]) ).
tcf(c_15826,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_3124]) ).
tcf(c_15827,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_3124]) ).
tcf(c_15828,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_3124]) ).
tcf(c_15829,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_3124]) ).
tcf(c_15830,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_3124]) ).
tcf(c_15831,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_3124]) ).
tcf(c_15832,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_3124]) ).
tcf(c_15833,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_3124]) ).
tcf(c_15834,plain,
sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_3124]) ).
tcf(c_15835,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_3124]) ).
tcf(c_15836,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_3124]) ).
tcf(c_15837,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xa,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_3124]) ).
tcf(c_15838,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_3124]) ).
tcf(c_15839,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_3124]) ).
tcf(c_15840,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_3124]) ).
tcf(c_15841,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_3124]) ).
tcf(c_15842,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_3124]) ).
tcf(c_15843,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_3124]) ).
tcf(c_15844,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_3124]) ).
tcf(c_15845,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_3124]) ).
tcf(c_15846,plain,
sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_3124]) ).
tcf(c_15847,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_3124]) ).
tcf(c_15848,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_3124]) ).
tcf(c_15849,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xb,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_3124]) ).
tcf(c_15850,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_3124]) ).
tcf(c_15851,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_3124]) ).
tcf(c_15852,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_3124]) ).
tcf(c_15853,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xp,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_3124]) ).
tcf(c_15854,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_3124]) ).
tcf(c_15855,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_3124]) ).
tcf(c_15856,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_3124]) ).
tcf(c_15857,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xq,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_3124]) ).
tcf(c_15858,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_3124]) ).
tcf(c_15859,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_3124]) ).
tcf(c_15860,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_3124]) ).
tcf(c_15861,plain,
sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_3124]) ).
tcf(c_15862,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_3124]) ).
tcf(c_15863,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_3124]) ).
tcf(c_15864,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xm,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_3124]) ).
tcf(c_15865,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_3124]) ).
tcf(c_15866,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_3124]) ).
tcf(c_15867,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_3124]) ).
tcf(c_15868,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_3124]) ).
tcf(c_15869,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_3124]) ).
tcf(c_15870,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_3124]) ).
tcf(c_15871,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_3124]) ).
tcf(c_16029,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtasdt0(xa,sdtasdt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2665,c_59]) ).
tcf(c_16030,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xp,xq)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_2665,c_72]) ).
tcf(c_16031,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_16030,c_49,c_2661]) ).
tcf(c_16032,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16029,c_2662,c_49,c_2661]) ).
tcf(c_16035,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_3124]) ).
tcf(c_16036,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_3080]) ).
tcf(c_16037,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_2851]) ).
tcf(c_16038,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_2623]) ).
tcf(c_16039,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_2294]) ).
tcf(c_16040,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_1883]) ).
tcf(c_16041,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_1835]) ).
tcf(c_16042,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_1774]) ).
tcf(c_16043,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_5023]) ).
tcf(c_16044,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16031,c_4917]) ).
tcf(c_16045,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_1038]) ).
tcf(c_16046,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_1004]) ).
tcf(c_16047,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_1582]) ).
tcf(c_16048,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16031,c_1264]) ).
tcf(c_16049,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1187]) ).
tcf(c_16050,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1186]) ).
tcf(c_16051,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1185]) ).
tcf(c_16052,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1184]) ).
tcf(c_16053,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1183]) ).
tcf(c_16054,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1182]) ).
tcf(c_16055,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1120]) ).
tcf(c_16056,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1119]) ).
tcf(c_16057,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1118]) ).
tcf(c_16058,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1117]) ).
tcf(c_16059,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1116]) ).
tcf(c_16060,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_1115]) ).
tcf(c_16061,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_951]) ).
tcf(c_16062,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_16031,c_937]) ).
tcf(c_16063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16031,c_69]) ).
tcf(c_16064,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_923]) ).
tcf(c_16065,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16031,c_68]) ).
tcf(c_16066,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16031,c_77]) ).
tcf(c_16067,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16031,c_71]) ).
tcf(c_16068,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16031,c_909]) ).
tcf(c_16069,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16031,c_76]) ).
tcf(c_16070,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16031,c_70]) ).
tcf(c_16071,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),sdtasdt0(xa,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_74]) ).
tcf(c_16072,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_73]) ).
tcf(c_16073,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xq))) = sdtasdt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_16031,c_63]) ).
tcf(c_16074,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xq)),sz00) = sdtasdt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_16031,c_62]) ).
tcf(c_16075,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_61]) ).
tcf(c_16076,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16031,c_60]) ).
tcf(c_16246,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xm))
| ( sdtasdt0(xp,sdtasdt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2757,c_59]) ).
tcf(c_16247,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xp,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_2757,c_72]) ).
tcf(c_16248,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_16247,c_51,c_2753]) ).
tcf(c_16249,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16246,c_52,c_51,c_2753]) ).
tcf(c_16252,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_3124]) ).
tcf(c_16253,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_3080]) ).
tcf(c_16254,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_2851]) ).
tcf(c_16255,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_2623]) ).
tcf(c_16256,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_2294]) ).
tcf(c_16257,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_1883]) ).
tcf(c_16258,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_1835]) ).
tcf(c_16259,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_1774]) ).
tcf(c_16260,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_5023]) ).
tcf(c_16261,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16248,c_4917]) ).
tcf(c_16262,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_1038]) ).
tcf(c_16263,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_1004]) ).
tcf(c_16264,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_1582]) ).
tcf(c_16265,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16248,c_1264]) ).
tcf(c_16266,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1187]) ).
tcf(c_16267,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1186]) ).
tcf(c_16268,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1185]) ).
tcf(c_16269,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1184]) ).
tcf(c_16270,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1183]) ).
tcf(c_16271,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1182]) ).
tcf(c_16272,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1120]) ).
tcf(c_16273,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1119]) ).
tcf(c_16274,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1118]) ).
tcf(c_16275,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1117]) ).
tcf(c_16276,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1116]) ).
tcf(c_16277,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_1115]) ).
tcf(c_16278,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_951]) ).
tcf(c_16279,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16248,c_937]) ).
tcf(c_16280,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_69]) ).
tcf(c_16281,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_923]) ).
tcf(c_16282,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_68]) ).
tcf(c_16283,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_77]) ).
tcf(c_16284,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_71]) ).
tcf(c_16285,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16248,c_909]) ).
tcf(c_16286,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_76]) ).
tcf(c_16287,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_70]) ).
tcf(c_16288,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),sdtasdt0(xp,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_74]) ).
tcf(c_16289,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_73]) ).
tcf(c_16290,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xm))) = sdtasdt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_16248,c_63]) ).
tcf(c_16291,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xp,xm)),sz00) = sdtasdt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_16248,c_62]) ).
tcf(c_16292,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_61]) ).
tcf(c_16293,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16248,c_60]) ).
tcf(c_16342,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xm))
| ( sdtasdt0(xb,sdtasdt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2758,c_59]) ).
tcf(c_16343,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xp,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_2758,c_72]) ).
tcf(c_16344,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_16343,c_50,c_2753]) ).
tcf(c_16345,plain,
( ( xb = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16342,c_50,c_2753]) ).
tcf(c_16349,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_3124]) ).
tcf(c_16350,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_3080]) ).
tcf(c_16351,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_2851]) ).
tcf(c_16352,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_2623]) ).
tcf(c_16353,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_2294]) ).
tcf(c_16354,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_1883]) ).
tcf(c_16355,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_1835]) ).
tcf(c_16356,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_1774]) ).
tcf(c_16357,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_5023]) ).
tcf(c_16358,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16344,c_4917]) ).
tcf(c_16359,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_1038]) ).
tcf(c_16360,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_1004]) ).
tcf(c_16361,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_1582]) ).
tcf(c_16362,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16344,c_1264]) ).
tcf(c_16363,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1187]) ).
tcf(c_16364,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1186]) ).
tcf(c_16365,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1185]) ).
tcf(c_16366,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1184]) ).
tcf(c_16367,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1183]) ).
tcf(c_16368,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1182]) ).
tcf(c_16369,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1120]) ).
tcf(c_16370,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1119]) ).
tcf(c_16371,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1118]) ).
tcf(c_16372,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1117]) ).
tcf(c_16373,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1116]) ).
tcf(c_16374,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_1115]) ).
tcf(c_16375,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_951]) ).
tcf(c_16376,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16344,c_937]) ).
tcf(c_16377,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16344,c_69]) ).
tcf(c_16378,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_923]) ).
tcf(c_16379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16344,c_68]) ).
tcf(c_16380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16344,c_77]) ).
tcf(c_16381,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16344,c_71]) ).
tcf(c_16382,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16344,c_909]) ).
tcf(c_16383,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16344,c_76]) ).
tcf(c_16384,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16344,c_70]) ).
tcf(c_16385,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),sdtasdt0(xb,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_74]) ).
tcf(c_16386,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_73]) ).
tcf(c_16387,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xm))) = sdtasdt0(xb,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_16344,c_63]) ).
tcf(c_16388,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xp,xm)),sz00) = sdtasdt0(xb,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_16344,c_62]) ).
tcf(c_16389,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_61]) ).
tcf(c_16390,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16344,c_60]) ).
tcf(c_16455,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xm))
| ( sdtasdt0(xa,sdtasdt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2759,c_59]) ).
tcf(c_16456,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xp,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_2759,c_72]) ).
tcf(c_16457,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_16456,c_49,c_2753]) ).
tcf(c_16458,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16455,c_49,c_2753]) ).
tcf(c_16462,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_3124]) ).
tcf(c_16463,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_3080]) ).
tcf(c_16464,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_2851]) ).
tcf(c_16465,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_2623]) ).
tcf(c_16466,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_2294]) ).
tcf(c_16467,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_1883]) ).
tcf(c_16468,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_1835]) ).
tcf(c_16469,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_1774]) ).
tcf(c_16470,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_5023]) ).
tcf(c_16471,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16457,c_4917]) ).
tcf(c_16472,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_1038]) ).
tcf(c_16473,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_1004]) ).
tcf(c_16474,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_1582]) ).
tcf(c_16475,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16457,c_1264]) ).
tcf(c_16476,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1187]) ).
tcf(c_16477,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1186]) ).
tcf(c_16478,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1185]) ).
tcf(c_16479,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1184]) ).
tcf(c_16480,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1183]) ).
tcf(c_16481,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1182]) ).
tcf(c_16482,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1120]) ).
tcf(c_16483,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1119]) ).
tcf(c_16484,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1118]) ).
tcf(c_16485,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1117]) ).
tcf(c_16486,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1116]) ).
tcf(c_16487,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_1115]) ).
tcf(c_16488,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_951]) ).
tcf(c_16489,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_16457,c_937]) ).
tcf(c_16490,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16457,c_69]) ).
tcf(c_16491,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_923]) ).
tcf(c_16492,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16457,c_68]) ).
tcf(c_16493,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16457,c_77]) ).
tcf(c_16494,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16457,c_71]) ).
tcf(c_16495,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16457,c_909]) ).
tcf(c_16496,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16457,c_76]) ).
tcf(c_16497,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16457,c_70]) ).
tcf(c_16498,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),sdtasdt0(xa,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_74]) ).
tcf(c_16499,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_73]) ).
tcf(c_16500,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xm))) = sdtasdt0(xa,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_16457,c_63]) ).
tcf(c_16501,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xp,xm)),sz00) = sdtasdt0(xa,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_16457,c_62]) ).
tcf(c_16502,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_61]) ).
tcf(c_16503,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16457,c_60]) ).
tcf(c_16614,plain,
sdtpldt0(smndt0(xa),xa) = sdtpldt0(xa,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_3178]) ).
tcf(c_16615,plain,
sdtpldt0(smndt0(xb),xa) = sdtpldt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_3178]) ).
tcf(c_16616,plain,
sdtpldt0(smndt0(xp),xa) = sdtpldt0(xa,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_3178]) ).
tcf(c_16617,plain,
sdtpldt0(smndt0(xq),xa) = sdtpldt0(xa,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_3178]) ).
tcf(c_16618,plain,
sdtpldt0(smndt0(xm),xa) = sdtpldt0(xa,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_3178]) ).
tcf(c_16619,plain,
sdtpldt0(smndt0(sz00),xa) = sdtpldt0(xa,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_3178]) ).
tcf(c_16620,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_3178]) ).
tcf(c_16621,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),xa) = sdtpldt0(xa,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_3178]) ).
tcf(c_16622,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_3178]) ).
tcf(c_16623,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_3178]) ).
tcf(c_16624,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_3178]) ).
tcf(c_16625,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_3178]) ).
tcf(c_16626,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_3178]) ).
tcf(c_16627,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_3178]) ).
tcf(c_16628,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_3178]) ).
tcf(c_16629,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_3178]) ).
tcf(c_16630,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_3178]) ).
tcf(c_16631,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_3178]) ).
tcf(c_16632,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_3178]) ).
tcf(c_16633,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_3178]) ).
tcf(c_16634,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_3178]) ).
tcf(c_16635,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_3178]) ).
tcf(c_16636,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_3178]) ).
tcf(c_16637,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_3178]) ).
tcf(c_16638,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_3178]) ).
tcf(c_16639,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_3178]) ).
tcf(c_16640,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_3178]) ).
tcf(c_16641,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_3178]) ).
tcf(c_16642,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_3178]) ).
tcf(c_16643,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_3178]) ).
tcf(c_16644,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_3178]) ).
tcf(c_16645,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_3178]) ).
tcf(c_16646,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_3178]) ).
tcf(c_16647,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_3178]) ).
tcf(c_16648,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_3178]) ).
tcf(c_16649,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_3178]) ).
tcf(c_16650,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_3178]) ).
tcf(c_16651,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_3178]) ).
tcf(c_16652,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_3178]) ).
tcf(c_16653,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_3178]) ).
tcf(c_16654,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_3178]) ).
tcf(c_16655,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_3178]) ).
tcf(c_16656,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_3178]) ).
tcf(c_16657,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_3178]) ).
tcf(c_16658,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_3178]) ).
tcf(c_16659,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_3178]) ).
tcf(c_16660,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_3178]) ).
tcf(c_16661,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_3178]) ).
tcf(c_16662,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_3178]) ).
tcf(c_16663,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_3178]) ).
tcf(c_16664,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_3178]) ).
tcf(c_16665,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_3178]) ).
tcf(c_16666,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_3178]) ).
tcf(c_16667,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_3178]) ).
tcf(c_16668,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_3178]) ).
tcf(c_16669,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_3178]) ).
tcf(c_16670,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_3178]) ).
tcf(c_16671,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_3178]) ).
tcf(c_16672,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_3178]) ).
tcf(c_16673,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_3178]) ).
tcf(c_16674,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_3178]) ).
tcf(c_16675,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_3178]) ).
tcf(c_16676,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_3178]) ).
tcf(c_16677,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_3178]) ).
tcf(c_16678,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_3178]) ).
tcf(c_16679,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_3178]) ).
tcf(c_16680,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_3178]) ).
tcf(c_16681,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_3178]) ).
tcf(c_16682,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_3178]) ).
tcf(c_16683,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_3178]) ).
tcf(c_16684,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_3178]) ).
tcf(c_16685,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_3178]) ).
tcf(c_16686,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_3178]) ).
tcf(c_16687,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_3178]) ).
tcf(c_16688,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_3178]) ).
tcf(c_16689,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_3178]) ).
tcf(c_16690,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_3178]) ).
tcf(c_16691,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_3178]) ).
tcf(c_16692,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_3178]) ).
tcf(c_16693,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_3178]) ).
tcf(c_16694,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_3178]) ).
tcf(c_16695,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_3178]) ).
tcf(c_16696,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_3178]) ).
tcf(c_16697,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_3178]) ).
tcf(c_16698,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_3178]) ).
tcf(c_16823,plain,
( aInteger0(sdtpldt0(xa,smndt0(xp)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16616,c_78]) ).
tcf(c_16824,plain,
( aInteger0(sdtpldt0(xa,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16823,c_49]) ).
tcf(c_16831,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_3178]) ).
tcf(c_16832,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_3124]) ).
tcf(c_16833,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_3080]) ).
tcf(c_16834,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_2851]) ).
tcf(c_16835,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_2623]) ).
tcf(c_16836,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_2294]) ).
tcf(c_16837,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1883]) ).
tcf(c_16838,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xp))))) = smndt0(smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1835]) ).
tcf(c_16839,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xp)))),sz00) = smndt0(smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1774]) ).
tcf(c_16840,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_5023]) ).
tcf(c_16841,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_4917]) ).
tcf(c_16842,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xp)))),smndt0(sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1038]) ).
tcf(c_16843,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),smndt0(smndt0(sdtpldt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1004]) ).
tcf(c_16844,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1582]) ).
tcf(c_16845,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1264]) ).
tcf(c_16846,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1187]) ).
tcf(c_16847,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),xm) = sdtpldt0(xm,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1186]) ).
tcf(c_16848,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),xq) = sdtpldt0(xq,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1185]) ).
tcf(c_16849,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),xp) = sdtpldt0(xp,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1184]) ).
tcf(c_16850,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),xb) = sdtpldt0(xb,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1183]) ).
tcf(c_16851,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),xa) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1182]) ).
tcf(c_16852,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1120]) ).
tcf(c_16853,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),xm) = sdtasdt0(xm,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1119]) ).
tcf(c_16854,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),xq) = sdtasdt0(xq,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1118]) ).
tcf(c_16855,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),xp) = sdtasdt0(xp,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1117]) ).
tcf(c_16856,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),xb) = sdtasdt0(xb,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1116]) ).
tcf(c_16857,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),xa) = sdtasdt0(xa,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_1115]) ).
tcf(c_16858,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xp)))) = smndt0(sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_951]) ).
tcf(c_16859,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),sz00) = smndt0(sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_937]) ).
tcf(c_16860,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_69]) ).
tcf(c_16861,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_923]) ).
tcf(c_16862,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xp)),X0),sdtasdt0(sdtpldt0(xa,smndt0(xp)),X1)) = sdtasdt0(sdtpldt0(xa,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_68]) ).
tcf(c_16863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,smndt0(xp)),X0),X1) = sdtpldt0(sdtpldt0(xa,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_77]) ).
tcf(c_16864,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,smndt0(xp)),X0),X1) = sdtasdt0(sdtpldt0(xa,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_71]) ).
tcf(c_16865,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_909]) ).
tcf(c_16866,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),X0) = sdtpldt0(X0,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_76]) ).
tcf(c_16867,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),X0) = sdtasdt0(X0,sdtpldt0(xa,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_70]) ).
tcf(c_16868,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),sdtpldt0(xa,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_74]) ).
tcf(c_16869,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),smndt0(sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_73]) ).
tcf(c_16870,plain,
( ( sdtpldt0(sz00,sdtpldt0(xa,smndt0(xp))) = sdtpldt0(xa,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_63]) ).
tcf(c_16871,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xp)),sz00) = sdtpldt0(xa,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_62]) ).
tcf(c_16872,plain,
( ( sdtasdt0(sz00,sdtpldt0(xa,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_61]) ).
tcf(c_16873,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_60]) ).
tcf(c_17046,plain,
( aInteger0(sdtpldt0(xa,smndt0(xq)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_16617,c_78]) ).
tcf(c_17047,plain,
( aInteger0(sdtpldt0(xa,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17046,c_49]) ).
tcf(c_17054,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_3178]) ).
tcf(c_17055,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_3124]) ).
tcf(c_17056,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_3080]) ).
tcf(c_17057,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_2851]) ).
tcf(c_17058,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_2623]) ).
tcf(c_17059,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_2294]) ).
tcf(c_17060,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1883]) ).
tcf(c_17061,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xq))))) = smndt0(smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1835]) ).
tcf(c_17062,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xq)))),sz00) = smndt0(smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1774]) ).
tcf(c_17063,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_5023]) ).
tcf(c_17064,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_4917]) ).
tcf(c_17065,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xq)))),smndt0(sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1038]) ).
tcf(c_17066,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),smndt0(smndt0(sdtpldt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1004]) ).
tcf(c_17067,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1582]) ).
tcf(c_17068,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1264]) ).
tcf(c_17069,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1187]) ).
tcf(c_17070,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),xm) = sdtpldt0(xm,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1186]) ).
tcf(c_17071,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),xq) = sdtpldt0(xq,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1185]) ).
tcf(c_17072,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),xp) = sdtpldt0(xp,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1184]) ).
tcf(c_17073,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),xb) = sdtpldt0(xb,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1183]) ).
tcf(c_17074,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),xa) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1182]) ).
tcf(c_17075,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1120]) ).
tcf(c_17076,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),xm) = sdtasdt0(xm,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1119]) ).
tcf(c_17077,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),xq) = sdtasdt0(xq,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1118]) ).
tcf(c_17078,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),xp) = sdtasdt0(xp,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1117]) ).
tcf(c_17079,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),xb) = sdtasdt0(xb,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1116]) ).
tcf(c_17080,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),xa) = sdtasdt0(xa,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_1115]) ).
tcf(c_17081,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xq)))) = smndt0(sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_951]) ).
tcf(c_17082,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),sz00) = smndt0(sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_937]) ).
tcf(c_17083,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_69]) ).
tcf(c_17084,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_923]) ).
tcf(c_17085,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xq)),X0),sdtasdt0(sdtpldt0(xa,smndt0(xq)),X1)) = sdtasdt0(sdtpldt0(xa,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_68]) ).
tcf(c_17086,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,smndt0(xq)),X0),X1) = sdtpldt0(sdtpldt0(xa,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_77]) ).
tcf(c_17087,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,smndt0(xq)),X0),X1) = sdtasdt0(sdtpldt0(xa,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_71]) ).
tcf(c_17088,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_909]) ).
tcf(c_17089,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),X0) = sdtpldt0(X0,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_76]) ).
tcf(c_17090,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),X0) = sdtasdt0(X0,sdtpldt0(xa,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_70]) ).
tcf(c_17091,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),sdtpldt0(xa,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_74]) ).
tcf(c_17092,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),smndt0(sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_73]) ).
tcf(c_17093,plain,
( ( sdtpldt0(sz00,sdtpldt0(xa,smndt0(xq))) = sdtpldt0(xa,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_63]) ).
tcf(c_17094,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xq)),sz00) = sdtpldt0(xa,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_62]) ).
tcf(c_17095,plain,
( ( sdtasdt0(sz00,sdtpldt0(xa,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_61]) ).
tcf(c_17096,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_60]) ).
tcf(c_17292,plain,
( aInteger0(sdtpldt0(xa,smndt0(xm)))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_16618,c_78]) ).
tcf(c_17293,plain,
( aInteger0(sdtpldt0(xa,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17292,c_49]) ).
tcf(c_17300,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_3178]) ).
tcf(c_17301,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_3124]) ).
tcf(c_17302,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_3080]) ).
tcf(c_17303,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_2851]) ).
tcf(c_17304,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_2623]) ).
tcf(c_17305,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_2294]) ).
tcf(c_17306,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1883]) ).
tcf(c_17307,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xm))))) = smndt0(smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1835]) ).
tcf(c_17308,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1774]) ).
tcf(c_17309,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_5023]) ).
tcf(c_17310,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_4917]) ).
tcf(c_17311,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xm)))),smndt0(sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1038]) ).
tcf(c_17312,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),smndt0(smndt0(sdtpldt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1004]) ).
tcf(c_17313,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1582]) ).
tcf(c_17314,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1264]) ).
tcf(c_17315,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1187]) ).
tcf(c_17316,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1186]) ).
tcf(c_17317,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1185]) ).
tcf(c_17318,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1184]) ).
tcf(c_17319,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1183]) ).
tcf(c_17320,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1182]) ).
tcf(c_17321,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1120]) ).
tcf(c_17322,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1119]) ).
tcf(c_17323,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1118]) ).
tcf(c_17324,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1117]) ).
tcf(c_17325,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1116]) ).
tcf(c_17326,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_1115]) ).
tcf(c_17327,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xm)))) = smndt0(sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_951]) ).
tcf(c_17328,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),sz00) = smndt0(sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_937]) ).
tcf(c_17329,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_69]) ).
tcf(c_17330,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_923]) ).
tcf(c_17331,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xm)),X0),sdtasdt0(sdtpldt0(xa,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(xa,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_68]) ).
tcf(c_17332,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_77]) ).
tcf(c_17333,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_71]) ).
tcf(c_17334,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_909]) ).
tcf(c_17335,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_76]) ).
tcf(c_17336,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_70]) ).
tcf(c_17337,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),sdtpldt0(xa,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_74]) ).
tcf(c_17338,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),smndt0(sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_73]) ).
tcf(c_17339,plain,
( ( sdtpldt0(sz00,sdtpldt0(xa,smndt0(xm))) = sdtpldt0(xa,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_63]) ).
tcf(c_17340,plain,
( ( sdtpldt0(sdtpldt0(xa,smndt0(xm)),sz00) = sdtpldt0(xa,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_62]) ).
tcf(c_17341,plain,
( ( sdtasdt0(sz00,sdtpldt0(xa,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_61]) ).
tcf(c_17342,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_60]) ).
tcf(c_17471,plain,
( ( sz00 = xq )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtasdt0(xq,sdtasdt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2854,c_59]) ).
tcf(c_17472,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xp,xq)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_2854,c_72]) ).
tcf(c_17473,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_17472,c_53,c_2661]) ).
tcf(c_17474,plain,
sdtasdt0(xq,sdtasdt0(xp,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17471,c_54,c_2662,c_53,c_2661]) ).
tcf(c_17475,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_3178]) ).
tcf(c_17476,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_3124]) ).
tcf(c_17477,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_3080]) ).
tcf(c_17478,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_2851]) ).
tcf(c_17479,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_2623]) ).
tcf(c_17480,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_2294]) ).
tcf(c_17481,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_1883]) ).
tcf(c_17482,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_1835]) ).
tcf(c_17483,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_1774]) ).
tcf(c_17484,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_5023]) ).
tcf(c_17485,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17473,c_4917]) ).
tcf(c_17486,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_1038]) ).
tcf(c_17487,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_1004]) ).
tcf(c_17488,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_1582]) ).
tcf(c_17489,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17473,c_1264]) ).
tcf(c_17490,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1187]) ).
tcf(c_17491,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1186]) ).
tcf(c_17492,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1185]) ).
tcf(c_17493,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1184]) ).
tcf(c_17494,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1183]) ).
tcf(c_17495,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1182]) ).
tcf(c_17496,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1120]) ).
tcf(c_17497,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1119]) ).
tcf(c_17498,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1118]) ).
tcf(c_17499,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1117]) ).
tcf(c_17500,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1116]) ).
tcf(c_17501,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_1115]) ).
tcf(c_17502,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_951]) ).
tcf(c_17503,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_17473,c_937]) ).
tcf(c_17504,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17473,c_69]) ).
tcf(c_17505,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_923]) ).
tcf(c_17506,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17473,c_68]) ).
tcf(c_17507,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17473,c_77]) ).
tcf(c_17508,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17473,c_71]) ).
tcf(c_17509,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17473,c_909]) ).
tcf(c_17510,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17473,c_76]) ).
tcf(c_17511,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17473,c_70]) ).
tcf(c_17512,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),sdtasdt0(xq,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_74]) ).
tcf(c_17513,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_73]) ).
tcf(c_17514,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xq))) = sdtasdt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_17473,c_63]) ).
tcf(c_17515,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xq)),sz00) = sdtasdt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_17473,c_62]) ).
tcf(c_17516,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_61]) ).
tcf(c_17517,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17473,c_60]) ).
tcf(c_17717,plain,
( ( sz00 = xq )
| ( sdtasdt0(xp,xa) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xa))
| ( sdtasdt0(xq,sdtasdt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2855,c_59]) ).
tcf(c_17718,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xp,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_2855,c_72]) ).
tcf(c_17719,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_17718,c_53,c_1975]) ).
tcf(c_17720,plain,
( ( sdtasdt0(xp,xa) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17717,c_54,c_53,c_1975]) ).
tcf(c_17723,plain,
( ( sz00 = xq )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ( sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_2853,c_59]) ).
tcf(c_17724,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_2853,c_72]) ).
tcf(c_17725,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_17724,c_53,c_1633]) ).
tcf(c_17726,plain,
( ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17723,c_54,c_53,c_1633]) ).
tcf(c_17729,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_3178]) ).
tcf(c_17730,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_3124]) ).
tcf(c_17731,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_3080]) ).
tcf(c_17732,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_2851]) ).
tcf(c_17733,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_2623]) ).
tcf(c_17734,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_2294]) ).
tcf(c_17735,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_1883]) ).
tcf(c_17736,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_1835]) ).
tcf(c_17737,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_1774]) ).
tcf(c_17738,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_5023]) ).
tcf(c_17739,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17719,c_4917]) ).
tcf(c_17740,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_1038]) ).
tcf(c_17741,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_1004]) ).
tcf(c_17742,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_1582]) ).
tcf(c_17743,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17719,c_1264]) ).
tcf(c_17744,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1187]) ).
tcf(c_17745,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1186]) ).
tcf(c_17746,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1185]) ).
tcf(c_17747,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1184]) ).
tcf(c_17748,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1183]) ).
tcf(c_17749,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1182]) ).
tcf(c_17750,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1120]) ).
tcf(c_17751,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1119]) ).
tcf(c_17752,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1118]) ).
tcf(c_17753,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1117]) ).
tcf(c_17754,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1116]) ).
tcf(c_17755,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_1115]) ).
tcf(c_17756,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_951]) ).
tcf(c_17757,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_17719,c_937]) ).
tcf(c_17758,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17719,c_69]) ).
tcf(c_17759,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_923]) ).
tcf(c_17760,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17719,c_68]) ).
tcf(c_17761,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17719,c_77]) ).
tcf(c_17762,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17719,c_71]) ).
tcf(c_17763,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17719,c_909]) ).
tcf(c_17764,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17719,c_76]) ).
tcf(c_17765,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17719,c_70]) ).
tcf(c_17766,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),sdtasdt0(xq,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_74]) ).
tcf(c_17767,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_73]) ).
tcf(c_17768,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xa))) = sdtasdt0(xq,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_17719,c_63]) ).
tcf(c_17769,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xa)),sz00) = sdtasdt0(xq,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_17719,c_62]) ).
tcf(c_17770,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_61]) ).
tcf(c_17771,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17719,c_60]) ).
tcf(c_17792,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_3178]) ).
tcf(c_17793,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_3124]) ).
tcf(c_17794,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_3080]) ).
tcf(c_17795,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_2851]) ).
tcf(c_17796,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_2623]) ).
tcf(c_17797,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_2294]) ).
tcf(c_17798,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_1883]) ).
tcf(c_17799,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_1835]) ).
tcf(c_17800,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_1774]) ).
tcf(c_17801,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_5023]) ).
tcf(c_17802,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17725,c_4917]) ).
tcf(c_17803,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_1038]) ).
tcf(c_17804,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_1004]) ).
tcf(c_17805,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_1582]) ).
tcf(c_17806,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17725,c_1264]) ).
tcf(c_17807,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1187]) ).
tcf(c_17808,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1186]) ).
tcf(c_17809,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1185]) ).
tcf(c_17810,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1184]) ).
tcf(c_17811,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1183]) ).
tcf(c_17812,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1182]) ).
tcf(c_17813,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1120]) ).
tcf(c_17814,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1119]) ).
tcf(c_17815,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1118]) ).
tcf(c_17816,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1117]) ).
tcf(c_17817,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1116]) ).
tcf(c_17818,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_1115]) ).
tcf(c_17819,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_951]) ).
tcf(c_17820,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_17725,c_937]) ).
tcf(c_17821,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17725,c_69]) ).
tcf(c_17822,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_923]) ).
tcf(c_17823,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17725,c_68]) ).
tcf(c_17824,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17725,c_77]) ).
tcf(c_17825,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17725,c_71]) ).
tcf(c_17826,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17725,c_909]) ).
tcf(c_17827,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17725,c_76]) ).
tcf(c_17828,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17725,c_70]) ).
tcf(c_17829,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_74]) ).
tcf(c_17830,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_73]) ).
tcf(c_17831,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))) = sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_17725,c_63]) ).
tcf(c_17832,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_17725,c_62]) ).
tcf(c_17833,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_61]) ).
tcf(c_17834,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17725,c_60]) ).
tcf(c_17867,plain,
( ( sz00 = xq )
| ( sdtasdt0(xa,xb) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,xb))
| ( sdtasdt0(xq,sdtasdt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2856,c_59]) ).
tcf(c_17868,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xa,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_2856,c_72]) ).
tcf(c_17869,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_17868,c_53,c_1914]) ).
tcf(c_17870,plain,
( ( sdtasdt0(xa,xb) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17867,c_54,c_53,c_1914]) ).
tcf(c_17873,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_3178]) ).
tcf(c_17874,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_3124]) ).
tcf(c_17875,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_3080]) ).
tcf(c_17876,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_2851]) ).
tcf(c_17877,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_2623]) ).
tcf(c_17878,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_2294]) ).
tcf(c_17879,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_1883]) ).
tcf(c_17880,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_1835]) ).
tcf(c_17881,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_1774]) ).
tcf(c_17882,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_5023]) ).
tcf(c_17883,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17869,c_4917]) ).
tcf(c_17884,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_1038]) ).
tcf(c_17885,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_1004]) ).
tcf(c_17886,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_1582]) ).
tcf(c_17887,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17869,c_1264]) ).
tcf(c_17888,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1187]) ).
tcf(c_17889,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1186]) ).
tcf(c_17890,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1185]) ).
tcf(c_17891,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1184]) ).
tcf(c_17892,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1183]) ).
tcf(c_17893,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1182]) ).
tcf(c_17894,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1120]) ).
tcf(c_17895,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1119]) ).
tcf(c_17896,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1118]) ).
tcf(c_17897,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1117]) ).
tcf(c_17898,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1116]) ).
tcf(c_17899,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_1115]) ).
tcf(c_17900,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))) = smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_951]) ).
tcf(c_17901,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_17869,c_937]) ).
tcf(c_17902,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17869,c_69]) ).
tcf(c_17903,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_923]) ).
tcf(c_17904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17869,c_68]) ).
tcf(c_17905,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17869,c_77]) ).
tcf(c_17906,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17869,c_71]) ).
tcf(c_17907,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17869,c_909]) ).
tcf(c_17908,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17869,c_76]) ).
tcf(c_17909,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17869,c_70]) ).
tcf(c_17910,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),sdtasdt0(xq,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_74]) ).
tcf(c_17911,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_73]) ).
tcf(c_17912,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xb))) = sdtasdt0(xq,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_17869,c_63]) ).
tcf(c_17913,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xb)),sz00) = sdtasdt0(xq,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_17869,c_62]) ).
tcf(c_17914,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_61]) ).
tcf(c_17915,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17869,c_60]) ).
tcf(c_18011,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,xa) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xa))
| ( sdtasdt0(xq,sdtasdt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2857,c_59]) ).
tcf(c_18012,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xq,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_2857,c_72]) ).
tcf(c_18013,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_18012,c_53,c_2091]) ).
tcf(c_18014,plain,
( ( sdtasdt0(xq,xa) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18011,c_54,c_53,c_2091]) ).
tcf(c_18017,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_3178]) ).
tcf(c_18018,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_3124]) ).
tcf(c_18019,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_3080]) ).
tcf(c_18020,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_2851]) ).
tcf(c_18021,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_2623]) ).
tcf(c_18022,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_2294]) ).
tcf(c_18023,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_1883]) ).
tcf(c_18024,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_1835]) ).
tcf(c_18025,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_1774]) ).
tcf(c_18026,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_5023]) ).
tcf(c_18027,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18013,c_4917]) ).
tcf(c_18028,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_1038]) ).
tcf(c_18029,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_1004]) ).
tcf(c_18030,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_1582]) ).
tcf(c_18031,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18013,c_1264]) ).
tcf(c_18032,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1187]) ).
tcf(c_18033,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1186]) ).
tcf(c_18034,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1185]) ).
tcf(c_18035,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1184]) ).
tcf(c_18036,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1183]) ).
tcf(c_18037,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1182]) ).
tcf(c_18038,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1120]) ).
tcf(c_18039,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1119]) ).
tcf(c_18040,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1118]) ).
tcf(c_18041,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1117]) ).
tcf(c_18042,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1116]) ).
tcf(c_18043,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_1115]) ).
tcf(c_18044,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))) = smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_951]) ).
tcf(c_18045,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_18013,c_937]) ).
tcf(c_18046,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18013,c_69]) ).
tcf(c_18047,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_923]) ).
tcf(c_18048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18013,c_68]) ).
tcf(c_18049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18013,c_77]) ).
tcf(c_18050,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18013,c_71]) ).
tcf(c_18051,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18013,c_909]) ).
tcf(c_18052,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18013,c_76]) ).
tcf(c_18053,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18013,c_70]) ).
tcf(c_18054,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),sdtasdt0(xq,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_74]) ).
tcf(c_18055,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_73]) ).
tcf(c_18056,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xa))) = sdtasdt0(xq,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_18013,c_63]) ).
tcf(c_18057,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xa)),sz00) = sdtasdt0(xq,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_18013,c_62]) ).
tcf(c_18058,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_61]) ).
tcf(c_18059,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18013,c_60]) ).
tcf(c_18131,plain,
( ( sz00 = xq )
| ( sdtasdt0(xa,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,xm))
| ( sdtasdt0(xq,sdtasdt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2858,c_59]) ).
tcf(c_18132,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xa,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_2858,c_72]) ).
tcf(c_18133,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_18132,c_53,c_2166]) ).
tcf(c_18134,plain,
( ( sdtasdt0(xa,xm) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18131,c_54,c_53,c_2166]) ).
tcf(c_18137,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_3178]) ).
tcf(c_18138,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_3124]) ).
tcf(c_18139,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_3080]) ).
tcf(c_18140,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_2851]) ).
tcf(c_18141,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_2623]) ).
tcf(c_18142,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_2294]) ).
tcf(c_18143,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_1883]) ).
tcf(c_18144,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_1835]) ).
tcf(c_18145,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_1774]) ).
tcf(c_18146,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_5023]) ).
tcf(c_18147,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18133,c_4917]) ).
tcf(c_18148,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_1038]) ).
tcf(c_18149,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_1004]) ).
tcf(c_18150,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_1582]) ).
tcf(c_18151,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18133,c_1264]) ).
tcf(c_18152,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1187]) ).
tcf(c_18153,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1186]) ).
tcf(c_18154,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1185]) ).
tcf(c_18155,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1184]) ).
tcf(c_18156,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1183]) ).
tcf(c_18157,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1182]) ).
tcf(c_18158,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1120]) ).
tcf(c_18159,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1119]) ).
tcf(c_18160,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1118]) ).
tcf(c_18161,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1117]) ).
tcf(c_18162,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1116]) ).
tcf(c_18163,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_1115]) ).
tcf(c_18164,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))) = smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_951]) ).
tcf(c_18165,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_18133,c_937]) ).
tcf(c_18166,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18133,c_69]) ).
tcf(c_18167,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_923]) ).
tcf(c_18168,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18133,c_68]) ).
tcf(c_18169,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18133,c_77]) ).
tcf(c_18170,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18133,c_71]) ).
tcf(c_18171,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18133,c_909]) ).
tcf(c_18172,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18133,c_76]) ).
tcf(c_18173,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18133,c_70]) ).
tcf(c_18174,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),sdtasdt0(xq,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_74]) ).
tcf(c_18175,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_73]) ).
tcf(c_18176,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xm))) = sdtasdt0(xq,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_18133,c_63]) ).
tcf(c_18177,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,xm)),sz00) = sdtasdt0(xq,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_18133,c_62]) ).
tcf(c_18178,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_61]) ).
tcf(c_18179,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18133,c_60]) ).
tcf(c_18251,plain,
( ( sz00 = xq )
| ( sdtasdt0(xp,xb) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xb))
| ( sdtasdt0(xq,sdtasdt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2859,c_59]) ).
tcf(c_18252,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xp,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_2859,c_72]) ).
tcf(c_18253,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_18252,c_53,c_2315]) ).
tcf(c_18254,plain,
( ( sdtasdt0(xp,xb) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18251,c_54,c_53,c_2315]) ).
tcf(c_18257,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_3178]) ).
tcf(c_18258,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_3124]) ).
tcf(c_18259,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_3080]) ).
tcf(c_18260,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_2851]) ).
tcf(c_18261,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_2623]) ).
tcf(c_18262,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_2294]) ).
tcf(c_18263,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_1883]) ).
tcf(c_18264,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_1835]) ).
tcf(c_18265,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_1774]) ).
tcf(c_18266,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_5023]) ).
tcf(c_18267,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18253,c_4917]) ).
tcf(c_18268,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_1038]) ).
tcf(c_18269,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_1004]) ).
tcf(c_18270,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_1582]) ).
tcf(c_18271,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18253,c_1264]) ).
tcf(c_18272,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1187]) ).
tcf(c_18273,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1186]) ).
tcf(c_18274,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1185]) ).
tcf(c_18275,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1184]) ).
tcf(c_18276,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1183]) ).
tcf(c_18277,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1182]) ).
tcf(c_18278,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1120]) ).
tcf(c_18279,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1119]) ).
tcf(c_18280,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1118]) ).
tcf(c_18281,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1117]) ).
tcf(c_18282,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1116]) ).
tcf(c_18283,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_1115]) ).
tcf(c_18284,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_951]) ).
tcf(c_18285,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_18253,c_937]) ).
tcf(c_18286,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18253,c_69]) ).
tcf(c_18287,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_923]) ).
tcf(c_18288,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18253,c_68]) ).
tcf(c_18289,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18253,c_77]) ).
tcf(c_18290,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18253,c_71]) ).
tcf(c_18291,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18253,c_909]) ).
tcf(c_18292,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18253,c_76]) ).
tcf(c_18293,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18253,c_70]) ).
tcf(c_18294,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),sdtasdt0(xq,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_74]) ).
tcf(c_18295,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_73]) ).
tcf(c_18296,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xb))) = sdtasdt0(xq,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_18253,c_63]) ).
tcf(c_18297,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xb)),sz00) = sdtasdt0(xq,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_18253,c_62]) ).
tcf(c_18298,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_61]) ).
tcf(c_18299,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18253,c_60]) ).
tcf(c_18358,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,xb) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xb))
| ( sdtasdt0(xq,sdtasdt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2860,c_59]) ).
tcf(c_18359,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xq,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_2860,c_72]) ).
tcf(c_18360,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_18359,c_53,c_2420]) ).
tcf(c_18361,plain,
( ( sdtasdt0(xq,xb) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18358,c_54,c_53,c_2420]) ).
tcf(c_18364,plain,
( ( sz00 = xq )
| ( sdtasdt0(xb,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xb,xm))
| ( sdtasdt0(xq,sdtasdt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2861,c_59]) ).
tcf(c_18365,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xb,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_2861,c_72]) ).
tcf(c_18366,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_18365,c_53,c_2484]) ).
tcf(c_18367,plain,
( ( sdtasdt0(xb,xm) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18364,c_54,c_53,c_2484]) ).
tcf(c_18370,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_3178]) ).
tcf(c_18371,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_3124]) ).
tcf(c_18372,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_3080]) ).
tcf(c_18373,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_2851]) ).
tcf(c_18374,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_2623]) ).
tcf(c_18375,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_2294]) ).
tcf(c_18376,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_1883]) ).
tcf(c_18377,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_1835]) ).
tcf(c_18378,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_1774]) ).
tcf(c_18379,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_5023]) ).
tcf(c_18380,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18360,c_4917]) ).
tcf(c_18381,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_1038]) ).
tcf(c_18382,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_1004]) ).
tcf(c_18383,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_1582]) ).
tcf(c_18384,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18360,c_1264]) ).
tcf(c_18385,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1187]) ).
tcf(c_18386,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1186]) ).
tcf(c_18387,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1185]) ).
tcf(c_18388,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1184]) ).
tcf(c_18389,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1183]) ).
tcf(c_18390,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1182]) ).
tcf(c_18391,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1120]) ).
tcf(c_18392,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1119]) ).
tcf(c_18393,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1118]) ).
tcf(c_18394,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1117]) ).
tcf(c_18395,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1116]) ).
tcf(c_18396,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_1115]) ).
tcf(c_18397,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))) = smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_951]) ).
tcf(c_18398,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_18360,c_937]) ).
tcf(c_18399,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18360,c_69]) ).
tcf(c_18400,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_923]) ).
tcf(c_18401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18360,c_68]) ).
tcf(c_18402,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18360,c_77]) ).
tcf(c_18403,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18360,c_71]) ).
tcf(c_18404,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18360,c_909]) ).
tcf(c_18405,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18360,c_76]) ).
tcf(c_18406,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18360,c_70]) ).
tcf(c_18407,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),sdtasdt0(xq,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_74]) ).
tcf(c_18408,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_73]) ).
tcf(c_18409,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xb))) = sdtasdt0(xq,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_18360,c_63]) ).
tcf(c_18410,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xb)),sz00) = sdtasdt0(xq,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_18360,c_62]) ).
tcf(c_18411,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_61]) ).
tcf(c_18412,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18360,c_60]) ).
tcf(c_18519,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_3178]) ).
tcf(c_18520,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_3124]) ).
tcf(c_18521,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_3080]) ).
tcf(c_18522,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_2851]) ).
tcf(c_18523,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_2623]) ).
tcf(c_18524,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_2294]) ).
tcf(c_18525,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_1883]) ).
tcf(c_18526,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_1835]) ).
tcf(c_18527,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_1774]) ).
tcf(c_18528,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_5023]) ).
tcf(c_18529,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18366,c_4917]) ).
tcf(c_18530,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_1038]) ).
tcf(c_18531,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_1004]) ).
tcf(c_18532,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_1582]) ).
tcf(c_18533,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18366,c_1264]) ).
tcf(c_18534,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1187]) ).
tcf(c_18535,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1186]) ).
tcf(c_18536,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1185]) ).
tcf(c_18537,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1184]) ).
tcf(c_18538,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1183]) ).
tcf(c_18539,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1182]) ).
tcf(c_18540,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1120]) ).
tcf(c_18541,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1119]) ).
tcf(c_18542,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1118]) ).
tcf(c_18543,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1117]) ).
tcf(c_18544,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1116]) ).
tcf(c_18545,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_1115]) ).
tcf(c_18546,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))) = smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_951]) ).
tcf(c_18547,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_18366,c_937]) ).
tcf(c_18548,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18366,c_69]) ).
tcf(c_18549,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_923]) ).
tcf(c_18550,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18366,c_68]) ).
tcf(c_18551,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18366,c_77]) ).
tcf(c_18552,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18366,c_71]) ).
tcf(c_18553,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18366,c_909]) ).
tcf(c_18554,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18366,c_76]) ).
tcf(c_18555,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18366,c_70]) ).
tcf(c_18556,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),sdtasdt0(xq,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_74]) ).
tcf(c_18557,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_73]) ).
tcf(c_18558,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xb,xm))) = sdtasdt0(xq,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_18366,c_63]) ).
tcf(c_18559,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xb,xm)),sz00) = sdtasdt0(xq,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_18366,c_62]) ).
tcf(c_18560,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_61]) ).
tcf(c_18561,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18366,c_60]) ).
tcf(c_18628,plain,
( ( sz00 = xq )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xm))
| ( sdtasdt0(xq,sdtasdt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2862,c_59]) ).
tcf(c_18629,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xp,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_2862,c_72]) ).
tcf(c_18630,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_18629,c_53,c_2753]) ).
tcf(c_18631,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18628,c_54,c_53,c_2753]) ).
tcf(c_18634,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_3178]) ).
tcf(c_18635,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_3124]) ).
tcf(c_18636,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_3080]) ).
tcf(c_18637,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_2851]) ).
tcf(c_18638,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_2623]) ).
tcf(c_18639,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_2294]) ).
tcf(c_18640,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_1883]) ).
tcf(c_18641,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_1835]) ).
tcf(c_18642,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_1774]) ).
tcf(c_18643,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_5023]) ).
tcf(c_18644,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18630,c_4917]) ).
tcf(c_18645,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_1038]) ).
tcf(c_18646,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_1004]) ).
tcf(c_18647,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_1582]) ).
tcf(c_18648,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18630,c_1264]) ).
tcf(c_18649,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1187]) ).
tcf(c_18650,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1186]) ).
tcf(c_18651,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1185]) ).
tcf(c_18652,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1184]) ).
tcf(c_18653,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1183]) ).
tcf(c_18654,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1182]) ).
tcf(c_18655,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1120]) ).
tcf(c_18656,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1119]) ).
tcf(c_18657,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1118]) ).
tcf(c_18658,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1117]) ).
tcf(c_18659,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1116]) ).
tcf(c_18660,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_1115]) ).
tcf(c_18661,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_951]) ).
tcf(c_18662,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_18630,c_937]) ).
tcf(c_18663,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18630,c_69]) ).
tcf(c_18664,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_923]) ).
tcf(c_18665,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18630,c_68]) ).
tcf(c_18666,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18630,c_77]) ).
tcf(c_18667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18630,c_71]) ).
tcf(c_18668,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18630,c_909]) ).
tcf(c_18669,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18630,c_76]) ).
tcf(c_18670,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18630,c_70]) ).
tcf(c_18671,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),sdtasdt0(xq,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_74]) ).
tcf(c_18672,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_73]) ).
tcf(c_18673,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xm))) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_18630,c_63]) ).
tcf(c_18674,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xp,xm)),sz00) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_18630,c_62]) ).
tcf(c_18675,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_61]) ).
tcf(c_18676,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18630,c_60]) ).
tcf(c_18735,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xm))
| ( sdtasdt0(xq,sdtasdt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2922,c_59]) ).
tcf(c_18736,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xq,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_2922,c_72]) ).
tcf(c_18737,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_18736,c_53,c_2918]) ).
tcf(c_18738,plain,
( ( sdtasdt0(xq,xm) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18735,c_54,c_53,c_2918]) ).
tcf(c_18741,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_3178]) ).
tcf(c_18742,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_3124]) ).
tcf(c_18743,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_3080]) ).
tcf(c_18744,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_2851]) ).
tcf(c_18745,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_2623]) ).
tcf(c_18746,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_2294]) ).
tcf(c_18747,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_1883]) ).
tcf(c_18748,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_1835]) ).
tcf(c_18749,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_1774]) ).
tcf(c_18750,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_5023]) ).
tcf(c_18751,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18737,c_4917]) ).
tcf(c_18752,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_1038]) ).
tcf(c_18753,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_1004]) ).
tcf(c_18754,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_1582]) ).
tcf(c_18755,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18737,c_1264]) ).
tcf(c_18756,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1187]) ).
tcf(c_18757,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1186]) ).
tcf(c_18758,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1185]) ).
tcf(c_18759,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1184]) ).
tcf(c_18760,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1183]) ).
tcf(c_18761,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1182]) ).
tcf(c_18762,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1120]) ).
tcf(c_18763,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1119]) ).
tcf(c_18764,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1118]) ).
tcf(c_18765,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1117]) ).
tcf(c_18766,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1116]) ).
tcf(c_18767,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_1115]) ).
tcf(c_18768,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))) = smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_951]) ).
tcf(c_18769,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_18737,c_937]) ).
tcf(c_18770,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18737,c_69]) ).
tcf(c_18771,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_923]) ).
tcf(c_18772,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18737,c_68]) ).
tcf(c_18773,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18737,c_77]) ).
tcf(c_18774,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18737,c_71]) ).
tcf(c_18775,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18737,c_909]) ).
tcf(c_18776,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18737,c_76]) ).
tcf(c_18777,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18737,c_70]) ).
tcf(c_18778,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),sdtasdt0(xq,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_74]) ).
tcf(c_18779,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_73]) ).
tcf(c_18780,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xm))) = sdtasdt0(xq,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_18737,c_63]) ).
tcf(c_18781,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xq,xm)),sz00) = sdtasdt0(xq,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_18737,c_62]) ).
tcf(c_18782,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_61]) ).
tcf(c_18783,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18737,c_60]) ).
tcf(c_18888,plain,
sdtpldt0(smndt0(xa),xb) = sdtpldt0(xb,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_3754]) ).
tcf(c_18889,plain,
sdtpldt0(smndt0(xb),xb) = sdtpldt0(xb,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_3754]) ).
tcf(c_18890,plain,
sdtpldt0(smndt0(xp),xb) = sdtpldt0(xb,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_3754]) ).
tcf(c_18891,plain,
sdtpldt0(smndt0(xq),xb) = sdtpldt0(xb,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_3754]) ).
tcf(c_18892,plain,
sdtpldt0(smndt0(xm),xb) = sdtpldt0(xb,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_3754]) ).
tcf(c_18893,plain,
sdtpldt0(smndt0(sz00),xb) = sdtpldt0(xb,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_3754]) ).
tcf(c_18894,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_3754]) ).
tcf(c_18895,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),xb) = sdtpldt0(xb,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_3754]) ).
tcf(c_18896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_3754]) ).
tcf(c_18897,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_3754]) ).
tcf(c_18898,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_3754]) ).
tcf(c_18899,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_3754]) ).
tcf(c_18900,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_3754]) ).
tcf(c_18901,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_3754]) ).
tcf(c_18902,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_3754]) ).
tcf(c_18903,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_3754]) ).
tcf(c_18904,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_3754]) ).
tcf(c_18905,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_3754]) ).
tcf(c_18906,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_3754]) ).
tcf(c_18907,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_3754]) ).
tcf(c_18908,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_3754]) ).
tcf(c_18909,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_3754]) ).
tcf(c_18910,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_3754]) ).
tcf(c_18911,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_3754]) ).
tcf(c_18912,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_3754]) ).
tcf(c_18913,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_3754]) ).
tcf(c_18914,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_3754]) ).
tcf(c_18915,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_3754]) ).
tcf(c_18916,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_3754]) ).
tcf(c_18917,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_3754]) ).
tcf(c_18918,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_3754]) ).
tcf(c_18919,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_3754]) ).
tcf(c_18920,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_3754]) ).
tcf(c_18921,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_3754]) ).
tcf(c_18922,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_3754]) ).
tcf(c_18923,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_3754]) ).
tcf(c_18924,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_3754]) ).
tcf(c_18925,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_3754]) ).
tcf(c_18926,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_3754]) ).
tcf(c_18927,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_3754]) ).
tcf(c_18928,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_3754]) ).
tcf(c_18929,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_3754]) ).
tcf(c_18930,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_3754]) ).
tcf(c_18931,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_3754]) ).
tcf(c_18932,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_3754]) ).
tcf(c_18933,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_3754]) ).
tcf(c_18934,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_3754]) ).
tcf(c_18935,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_3754]) ).
tcf(c_18936,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_3754]) ).
tcf(c_18937,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_3754]) ).
tcf(c_18938,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_3754]) ).
tcf(c_18939,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_3754]) ).
tcf(c_18940,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_3754]) ).
tcf(c_18941,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_3754]) ).
tcf(c_18942,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_3754]) ).
tcf(c_18943,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_3754]) ).
tcf(c_18944,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_3754]) ).
tcf(c_18945,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_3754]) ).
tcf(c_18946,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_3754]) ).
tcf(c_18947,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_3754]) ).
tcf(c_18948,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_3754]) ).
tcf(c_18949,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_3754]) ).
tcf(c_18950,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_3754]) ).
tcf(c_18951,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_3754]) ).
tcf(c_18952,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_3754]) ).
tcf(c_18953,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_3754]) ).
tcf(c_18954,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_3754]) ).
tcf(c_18955,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_3754]) ).
tcf(c_18956,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_3754]) ).
tcf(c_18957,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_3754]) ).
tcf(c_18958,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_3754]) ).
tcf(c_18959,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_3754]) ).
tcf(c_18960,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_3754]) ).
tcf(c_18961,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_3754]) ).
tcf(c_18962,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_3754]) ).
tcf(c_18963,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_3754]) ).
tcf(c_18964,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_3754]) ).
tcf(c_18965,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_3754]) ).
tcf(c_18966,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_3754]) ).
tcf(c_18967,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_3754]) ).
tcf(c_18968,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_3754]) ).
tcf(c_18969,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_3754]) ).
tcf(c_18970,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_3754]) ).
tcf(c_18971,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_3754]) ).
tcf(c_18972,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_3754]) ).
tcf(c_18973,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_3754]) ).
tcf(c_18974,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_3754]) ).
tcf(c_18975,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_3754]) ).
tcf(c_18976,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_3754]) ).
tcf(c_18977,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_3754]) ).
tcf(c_18978,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_3754]) ).
tcf(c_18979,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_3754]) ).
tcf(c_18980,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_3754]) ).
tcf(c_18981,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_3754]) ).
tcf(c_18982,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_3754]) ).
tcf(c_18983,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_3754]) ).
tcf(c_18984,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_3754]) ).
tcf(c_18985,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_3754]) ).
tcf(c_18986,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_3754]) ).
tcf(c_19168,plain,
( aInteger0(sdtpldt0(xb,smndt0(xa)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_18888,c_78]) ).
tcf(c_19169,plain,
( aInteger0(sdtpldt0(xb,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19168,c_50]) ).
tcf(c_19176,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_3754]) ).
tcf(c_19177,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_3178]) ).
tcf(c_19178,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_3124]) ).
tcf(c_19179,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_3080]) ).
tcf(c_19180,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_2851]) ).
tcf(c_19181,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_2623]) ).
tcf(c_19182,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_2294]) ).
tcf(c_19183,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1883]) ).
tcf(c_19184,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xa))))) = smndt0(smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1835]) ).
tcf(c_19185,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xa)))),sz00) = smndt0(smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1774]) ).
tcf(c_19186,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_5023]) ).
tcf(c_19187,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_4917]) ).
tcf(c_19188,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xa)))),smndt0(sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1038]) ).
tcf(c_19189,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),smndt0(smndt0(sdtpldt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1004]) ).
tcf(c_19190,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1582]) ).
tcf(c_19191,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1264]) ).
tcf(c_19192,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1187]) ).
tcf(c_19193,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),xm) = sdtpldt0(xm,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1186]) ).
tcf(c_19194,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),xq) = sdtpldt0(xq,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1185]) ).
tcf(c_19195,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),xp) = sdtpldt0(xp,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1184]) ).
tcf(c_19196,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),xb) = sdtpldt0(xb,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1183]) ).
tcf(c_19197,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),xa) = sdtpldt0(xa,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1182]) ).
tcf(c_19198,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1120]) ).
tcf(c_19199,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),xm) = sdtasdt0(xm,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1119]) ).
tcf(c_19200,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),xq) = sdtasdt0(xq,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1118]) ).
tcf(c_19201,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),xp) = sdtasdt0(xp,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1117]) ).
tcf(c_19202,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),xb) = sdtasdt0(xb,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1116]) ).
tcf(c_19203,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),xa) = sdtasdt0(xa,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_1115]) ).
tcf(c_19204,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xa)))) = smndt0(sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_951]) ).
tcf(c_19205,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),sz00) = smndt0(sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_937]) ).
tcf(c_19206,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_69]) ).
tcf(c_19207,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_923]) ).
tcf(c_19208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xa)),X0),sdtasdt0(sdtpldt0(xb,smndt0(xa)),X1)) = sdtasdt0(sdtpldt0(xb,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_68]) ).
tcf(c_19209,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,smndt0(xa)),X0),X1) = sdtpldt0(sdtpldt0(xb,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_77]) ).
tcf(c_19210,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,smndt0(xa)),X0),X1) = sdtasdt0(sdtpldt0(xb,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_71]) ).
tcf(c_19211,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_909]) ).
tcf(c_19212,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),X0) = sdtpldt0(X0,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_76]) ).
tcf(c_19213,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),X0) = sdtasdt0(X0,sdtpldt0(xb,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_70]) ).
tcf(c_19214,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),sdtpldt0(xb,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_74]) ).
tcf(c_19215,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),smndt0(sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_73]) ).
tcf(c_19216,plain,
( ( sdtpldt0(sz00,sdtpldt0(xb,smndt0(xa))) = sdtpldt0(xb,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_63]) ).
tcf(c_19217,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xa)),sz00) = sdtpldt0(xb,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_62]) ).
tcf(c_19218,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_61]) ).
tcf(c_19219,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_60]) ).
tcf(c_19352,plain,
( aInteger0(sdtpldt0(xb,smndt0(xp)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_18890,c_78]) ).
tcf(c_19353,plain,
( aInteger0(sdtpldt0(xb,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19352,c_50]) ).
tcf(c_19360,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_3754]) ).
tcf(c_19361,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_3178]) ).
tcf(c_19362,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_3124]) ).
tcf(c_19363,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_3080]) ).
tcf(c_19364,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_2851]) ).
tcf(c_19365,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_2623]) ).
tcf(c_19366,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_2294]) ).
tcf(c_19367,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1883]) ).
tcf(c_19368,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xp))))) = smndt0(smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1835]) ).
tcf(c_19369,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xp)))),sz00) = smndt0(smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1774]) ).
tcf(c_19370,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_5023]) ).
tcf(c_19371,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_4917]) ).
tcf(c_19372,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xp)))),smndt0(sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1038]) ).
tcf(c_19373,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),smndt0(smndt0(sdtpldt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1004]) ).
tcf(c_19374,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1582]) ).
tcf(c_19375,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1264]) ).
tcf(c_19376,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1187]) ).
tcf(c_19377,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),xm) = sdtpldt0(xm,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1186]) ).
tcf(c_19378,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),xq) = sdtpldt0(xq,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1185]) ).
tcf(c_19379,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),xp) = sdtpldt0(xp,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1184]) ).
tcf(c_19380,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),xb) = sdtpldt0(xb,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1183]) ).
tcf(c_19381,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),xa) = sdtpldt0(xa,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1182]) ).
tcf(c_19382,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1120]) ).
tcf(c_19383,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),xm) = sdtasdt0(xm,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1119]) ).
tcf(c_19384,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),xq) = sdtasdt0(xq,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1118]) ).
tcf(c_19385,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),xp) = sdtasdt0(xp,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1117]) ).
tcf(c_19386,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),xb) = sdtasdt0(xb,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1116]) ).
tcf(c_19387,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),xa) = sdtasdt0(xa,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_1115]) ).
tcf(c_19388,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xp)))) = smndt0(sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_951]) ).
tcf(c_19389,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),sz00) = smndt0(sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_937]) ).
tcf(c_19390,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_69]) ).
tcf(c_19391,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_923]) ).
tcf(c_19392,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xp)),X0),sdtasdt0(sdtpldt0(xb,smndt0(xp)),X1)) = sdtasdt0(sdtpldt0(xb,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_68]) ).
tcf(c_19393,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,smndt0(xp)),X0),X1) = sdtpldt0(sdtpldt0(xb,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_77]) ).
tcf(c_19394,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,smndt0(xp)),X0),X1) = sdtasdt0(sdtpldt0(xb,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_71]) ).
tcf(c_19395,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_909]) ).
tcf(c_19396,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),X0) = sdtpldt0(X0,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_76]) ).
tcf(c_19397,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),X0) = sdtasdt0(X0,sdtpldt0(xb,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_70]) ).
tcf(c_19398,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),sdtpldt0(xb,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_74]) ).
tcf(c_19399,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),smndt0(sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_73]) ).
tcf(c_19400,plain,
( ( sdtpldt0(sz00,sdtpldt0(xb,smndt0(xp))) = sdtpldt0(xb,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_63]) ).
tcf(c_19401,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xp)),sz00) = sdtpldt0(xb,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_62]) ).
tcf(c_19402,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_61]) ).
tcf(c_19403,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_60]) ).
tcf(c_19536,plain,
( aInteger0(sdtpldt0(xb,smndt0(xq)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_18891,c_78]) ).
tcf(c_19537,plain,
( aInteger0(sdtpldt0(xb,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19536,c_50]) ).
tcf(c_19544,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_3754]) ).
tcf(c_19545,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_3178]) ).
tcf(c_19546,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_3124]) ).
tcf(c_19547,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_3080]) ).
tcf(c_19548,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_2851]) ).
tcf(c_19549,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_2623]) ).
tcf(c_19550,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_2294]) ).
tcf(c_19551,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1883]) ).
tcf(c_19552,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xq))))) = smndt0(smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1835]) ).
tcf(c_19553,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xq)))),sz00) = smndt0(smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1774]) ).
tcf(c_19554,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_5023]) ).
tcf(c_19555,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_4917]) ).
tcf(c_19556,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xq)))),smndt0(sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1038]) ).
tcf(c_19557,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),smndt0(smndt0(sdtpldt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1004]) ).
tcf(c_19558,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1582]) ).
tcf(c_19559,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1264]) ).
tcf(c_19560,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1187]) ).
tcf(c_19561,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),xm) = sdtpldt0(xm,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1186]) ).
tcf(c_19562,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),xq) = sdtpldt0(xq,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1185]) ).
tcf(c_19563,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),xp) = sdtpldt0(xp,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1184]) ).
tcf(c_19564,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),xb) = sdtpldt0(xb,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1183]) ).
tcf(c_19565,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),xa) = sdtpldt0(xa,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1182]) ).
tcf(c_19566,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1120]) ).
tcf(c_19567,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),xm) = sdtasdt0(xm,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1119]) ).
tcf(c_19568,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),xq) = sdtasdt0(xq,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1118]) ).
tcf(c_19569,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),xp) = sdtasdt0(xp,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1117]) ).
tcf(c_19570,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),xb) = sdtasdt0(xb,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1116]) ).
tcf(c_19571,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),xa) = sdtasdt0(xa,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_1115]) ).
tcf(c_19572,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xq)))) = smndt0(sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_951]) ).
tcf(c_19573,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),sz00) = smndt0(sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_937]) ).
tcf(c_19574,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_69]) ).
tcf(c_19575,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_923]) ).
tcf(c_19576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xq)),X0),sdtasdt0(sdtpldt0(xb,smndt0(xq)),X1)) = sdtasdt0(sdtpldt0(xb,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_68]) ).
tcf(c_19577,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,smndt0(xq)),X0),X1) = sdtpldt0(sdtpldt0(xb,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_77]) ).
tcf(c_19578,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,smndt0(xq)),X0),X1) = sdtasdt0(sdtpldt0(xb,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_71]) ).
tcf(c_19579,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_909]) ).
tcf(c_19580,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),X0) = sdtpldt0(X0,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_76]) ).
tcf(c_19581,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),X0) = sdtasdt0(X0,sdtpldt0(xb,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_70]) ).
tcf(c_19582,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),sdtpldt0(xb,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_74]) ).
tcf(c_19583,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),smndt0(sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_73]) ).
tcf(c_19584,plain,
( ( sdtpldt0(sz00,sdtpldt0(xb,smndt0(xq))) = sdtpldt0(xb,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_63]) ).
tcf(c_19585,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xq)),sz00) = sdtpldt0(xb,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_62]) ).
tcf(c_19586,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_61]) ).
tcf(c_19587,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_60]) ).
tcf(c_19826,plain,
( aInteger0(sdtpldt0(xb,smndt0(xm)))
| ~ aInteger0(xb)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_18892,c_78]) ).
tcf(c_19827,plain,
( aInteger0(sdtpldt0(xb,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19826,c_50]) ).
tcf(c_19834,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_3754]) ).
tcf(c_19835,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_3178]) ).
tcf(c_19836,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_3124]) ).
tcf(c_19837,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_3080]) ).
tcf(c_19838,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_2851]) ).
tcf(c_19839,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_2623]) ).
tcf(c_19840,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_2294]) ).
tcf(c_19841,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1883]) ).
tcf(c_19842,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xm))))) = smndt0(smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1835]) ).
tcf(c_19843,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1774]) ).
tcf(c_19844,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_5023]) ).
tcf(c_19845,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_4917]) ).
tcf(c_19846,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xm)))),smndt0(sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1038]) ).
tcf(c_19847,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),smndt0(smndt0(sdtpldt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1004]) ).
tcf(c_19848,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1582]) ).
tcf(c_19849,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1264]) ).
tcf(c_19850,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1187]) ).
tcf(c_19851,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1186]) ).
tcf(c_19852,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1185]) ).
tcf(c_19853,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1184]) ).
tcf(c_19854,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1183]) ).
tcf(c_19855,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1182]) ).
tcf(c_19856,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1120]) ).
tcf(c_19857,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1119]) ).
tcf(c_19858,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1118]) ).
tcf(c_19859,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1117]) ).
tcf(c_19860,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1116]) ).
tcf(c_19861,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_1115]) ).
tcf(c_19862,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xm)))) = smndt0(sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_951]) ).
tcf(c_19863,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),sz00) = smndt0(sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_937]) ).
tcf(c_19864,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_69]) ).
tcf(c_19865,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_923]) ).
tcf(c_19866,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,smndt0(xm)),X0),sdtasdt0(sdtpldt0(xb,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(xb,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_68]) ).
tcf(c_19867,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_77]) ).
tcf(c_19868,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_71]) ).
tcf(c_19869,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xb,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_909]) ).
tcf(c_19870,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_76]) ).
tcf(c_19871,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_70]) ).
tcf(c_19872,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),sdtpldt0(xb,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_74]) ).
tcf(c_19873,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),smndt0(sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_73]) ).
tcf(c_19874,plain,
( ( sdtpldt0(sz00,sdtpldt0(xb,smndt0(xm))) = sdtpldt0(xb,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_63]) ).
tcf(c_19875,plain,
( ( sdtpldt0(sdtpldt0(xb,smndt0(xm)),sz00) = sdtpldt0(xb,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_62]) ).
tcf(c_19876,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_61]) ).
tcf(c_19877,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_60]) ).
tcf(c_20014,plain,
( ( xp = sz00 )
| ( sdtasdt0(xq,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xm))
| ( sdtasdt0(xp,sdtasdt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2923,c_59]) ).
tcf(c_20015,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xq,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_2923,c_72]) ).
tcf(c_20016,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_20015,c_51,c_2918]) ).
tcf(c_20017,plain,
( ( sdtasdt0(xq,xm) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20014,c_52,c_51,c_2918]) ).
tcf(c_20020,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_3754]) ).
tcf(c_20021,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_3178]) ).
tcf(c_20022,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_3124]) ).
tcf(c_20023,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_3080]) ).
tcf(c_20024,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_2851]) ).
tcf(c_20025,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_2623]) ).
tcf(c_20026,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_2294]) ).
tcf(c_20027,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_1883]) ).
tcf(c_20028,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_1835]) ).
tcf(c_20029,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_1774]) ).
tcf(c_20030,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_5023]) ).
tcf(c_20031,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20016,c_4917]) ).
tcf(c_20032,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_1038]) ).
tcf(c_20033,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_1004]) ).
tcf(c_20034,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_1582]) ).
tcf(c_20035,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20016,c_1264]) ).
tcf(c_20036,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1187]) ).
tcf(c_20037,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1186]) ).
tcf(c_20038,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1185]) ).
tcf(c_20039,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1184]) ).
tcf(c_20040,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1183]) ).
tcf(c_20041,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1182]) ).
tcf(c_20042,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1120]) ).
tcf(c_20043,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1119]) ).
tcf(c_20044,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1118]) ).
tcf(c_20045,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1117]) ).
tcf(c_20046,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1116]) ).
tcf(c_20047,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_1115]) ).
tcf(c_20048,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))) = smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_951]) ).
tcf(c_20049,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20016,c_937]) ).
tcf(c_20050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20016,c_69]) ).
tcf(c_20051,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_923]) ).
tcf(c_20052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20016,c_68]) ).
tcf(c_20053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20016,c_77]) ).
tcf(c_20054,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20016,c_71]) ).
tcf(c_20055,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20016,c_909]) ).
tcf(c_20056,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20016,c_76]) ).
tcf(c_20057,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20016,c_70]) ).
tcf(c_20058,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),sdtasdt0(xp,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_74]) ).
tcf(c_20059,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_73]) ).
tcf(c_20060,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xm))) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_20016,c_63]) ).
tcf(c_20061,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xq,xm)),sz00) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_20016,c_62]) ).
tcf(c_20062,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_61]) ).
tcf(c_20063,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20016,c_60]) ).
tcf(c_20114,plain,
( ( xb = sz00 )
| ( sdtasdt0(xq,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xm))
| ( sdtasdt0(xb,sdtasdt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2924,c_59]) ).
tcf(c_20115,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xq,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_2924,c_72]) ).
tcf(c_20116,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_20115,c_50,c_2918]) ).
tcf(c_20117,plain,
( ( xb = sz00 )
| ( sdtasdt0(xq,xm) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20114,c_50,c_2918]) ).
tcf(c_20121,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_3754]) ).
tcf(c_20122,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_3178]) ).
tcf(c_20123,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_3124]) ).
tcf(c_20124,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_3080]) ).
tcf(c_20125,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_2851]) ).
tcf(c_20126,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_2623]) ).
tcf(c_20127,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_2294]) ).
tcf(c_20128,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_1883]) ).
tcf(c_20129,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_1835]) ).
tcf(c_20130,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_1774]) ).
tcf(c_20131,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_5023]) ).
tcf(c_20132,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20116,c_4917]) ).
tcf(c_20133,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_1038]) ).
tcf(c_20134,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_1004]) ).
tcf(c_20135,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_1582]) ).
tcf(c_20136,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20116,c_1264]) ).
tcf(c_20137,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1187]) ).
tcf(c_20138,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1186]) ).
tcf(c_20139,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1185]) ).
tcf(c_20140,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1184]) ).
tcf(c_20141,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1183]) ).
tcf(c_20142,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1182]) ).
tcf(c_20143,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1120]) ).
tcf(c_20144,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1119]) ).
tcf(c_20145,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1118]) ).
tcf(c_20146,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1117]) ).
tcf(c_20147,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1116]) ).
tcf(c_20148,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_1115]) ).
tcf(c_20149,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))) = smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_951]) ).
tcf(c_20150,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20116,c_937]) ).
tcf(c_20151,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20116,c_69]) ).
tcf(c_20152,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_923]) ).
tcf(c_20153,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20116,c_68]) ).
tcf(c_20154,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20116,c_77]) ).
tcf(c_20155,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20116,c_71]) ).
tcf(c_20156,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20116,c_909]) ).
tcf(c_20157,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20116,c_76]) ).
tcf(c_20158,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20116,c_70]) ).
tcf(c_20159,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),sdtasdt0(xb,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_74]) ).
tcf(c_20160,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_73]) ).
tcf(c_20161,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xm))) = sdtasdt0(xb,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_20116,c_63]) ).
tcf(c_20162,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xq,xm)),sz00) = sdtasdt0(xb,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_20116,c_62]) ).
tcf(c_20163,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_61]) ).
tcf(c_20164,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20116,c_60]) ).
tcf(c_20274,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xm))
| ( sdtasdt0(xa,sdtasdt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2925,c_59]) ).
tcf(c_20275,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xq,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_2925,c_72]) ).
tcf(c_20276,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_20275,c_49,c_2918]) ).
tcf(c_20277,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xm) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20274,c_49,c_2918]) ).
tcf(c_20281,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_3754]) ).
tcf(c_20282,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_3178]) ).
tcf(c_20283,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_3124]) ).
tcf(c_20284,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_3080]) ).
tcf(c_20285,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_2851]) ).
tcf(c_20286,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_2623]) ).
tcf(c_20287,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_2294]) ).
tcf(c_20288,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_1883]) ).
tcf(c_20289,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_1835]) ).
tcf(c_20290,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_1774]) ).
tcf(c_20291,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_5023]) ).
tcf(c_20292,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20276,c_4917]) ).
tcf(c_20293,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_1038]) ).
tcf(c_20294,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_1004]) ).
tcf(c_20295,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_1582]) ).
tcf(c_20296,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20276,c_1264]) ).
tcf(c_20297,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1187]) ).
tcf(c_20298,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1186]) ).
tcf(c_20299,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1185]) ).
tcf(c_20300,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1184]) ).
tcf(c_20301,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1183]) ).
tcf(c_20302,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1182]) ).
tcf(c_20303,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1120]) ).
tcf(c_20304,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1119]) ).
tcf(c_20305,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1118]) ).
tcf(c_20306,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1117]) ).
tcf(c_20307,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1116]) ).
tcf(c_20308,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_1115]) ).
tcf(c_20309,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))) = smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_951]) ).
tcf(c_20310,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_20276,c_937]) ).
tcf(c_20311,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20276,c_69]) ).
tcf(c_20312,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_923]) ).
tcf(c_20313,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20276,c_68]) ).
tcf(c_20314,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20276,c_77]) ).
tcf(c_20315,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20276,c_71]) ).
tcf(c_20316,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20276,c_909]) ).
tcf(c_20317,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20276,c_76]) ).
tcf(c_20318,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20276,c_70]) ).
tcf(c_20319,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),sdtasdt0(xa,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_74]) ).
tcf(c_20320,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_73]) ).
tcf(c_20321,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xm))) = sdtasdt0(xa,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_20276,c_63]) ).
tcf(c_20322,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xq,xm)),sz00) = sdtasdt0(xa,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_20276,c_62]) ).
tcf(c_20323,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_61]) ).
tcf(c_20324,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20276,c_60]) ).
tcf(c_20395,plain,
sdtpldt0(smndt0(xa),xp) = sdtpldt0(xp,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_4303]) ).
tcf(c_20396,plain,
sdtpldt0(smndt0(xb),xp) = sdtpldt0(xp,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_4303]) ).
tcf(c_20397,plain,
sdtpldt0(smndt0(xp),xp) = sdtpldt0(xp,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_4303]) ).
tcf(c_20398,plain,
sdtpldt0(smndt0(xq),xp) = sdtpldt0(xp,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_4303]) ).
tcf(c_20399,plain,
sdtpldt0(smndt0(xm),xp) = sdtpldt0(xp,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_4303]) ).
tcf(c_20400,plain,
sdtpldt0(smndt0(sz00),xp) = sdtpldt0(xp,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_4303]) ).
tcf(c_20401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_4303]) ).
tcf(c_20402,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),xp) = sdtpldt0(xp,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_4303]) ).
tcf(c_20403,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_4303]) ).
tcf(c_20404,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_4303]) ).
tcf(c_20405,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_4303]) ).
tcf(c_20406,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_4303]) ).
tcf(c_20407,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_4303]) ).
tcf(c_20408,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_4303]) ).
tcf(c_20409,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_4303]) ).
tcf(c_20410,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_4303]) ).
tcf(c_20411,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_4303]) ).
tcf(c_20412,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_4303]) ).
tcf(c_20413,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_4303]) ).
tcf(c_20414,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_4303]) ).
tcf(c_20415,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_4303]) ).
tcf(c_20416,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_4303]) ).
tcf(c_20417,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_4303]) ).
tcf(c_20418,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_4303]) ).
tcf(c_20419,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_4303]) ).
tcf(c_20420,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_4303]) ).
tcf(c_20421,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_4303]) ).
tcf(c_20422,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_4303]) ).
tcf(c_20423,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_4303]) ).
tcf(c_20424,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_4303]) ).
tcf(c_20425,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_4303]) ).
tcf(c_20426,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_4303]) ).
tcf(c_20427,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_4303]) ).
tcf(c_20428,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_4303]) ).
tcf(c_20429,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_4303]) ).
tcf(c_20430,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_4303]) ).
tcf(c_20431,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_4303]) ).
tcf(c_20432,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_4303]) ).
tcf(c_20433,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_4303]) ).
tcf(c_20434,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_4303]) ).
tcf(c_20435,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_4303]) ).
tcf(c_20436,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_4303]) ).
tcf(c_20437,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_4303]) ).
tcf(c_20438,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_4303]) ).
tcf(c_20439,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_4303]) ).
tcf(c_20440,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_4303]) ).
tcf(c_20441,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_4303]) ).
tcf(c_20442,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_4303]) ).
tcf(c_20443,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_4303]) ).
tcf(c_20444,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_4303]) ).
tcf(c_20445,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_4303]) ).
tcf(c_20446,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_4303]) ).
tcf(c_20447,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_4303]) ).
tcf(c_20448,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_4303]) ).
tcf(c_20449,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_4303]) ).
tcf(c_20450,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_4303]) ).
tcf(c_20451,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_4303]) ).
tcf(c_20452,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_4303]) ).
tcf(c_20453,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_4303]) ).
tcf(c_20454,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_4303]) ).
tcf(c_20455,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_4303]) ).
tcf(c_20456,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_4303]) ).
tcf(c_20457,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_4303]) ).
tcf(c_20458,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_4303]) ).
tcf(c_20459,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_4303]) ).
tcf(c_20460,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_4303]) ).
tcf(c_20461,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_4303]) ).
tcf(c_20462,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_4303]) ).
tcf(c_20463,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_4303]) ).
tcf(c_20464,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_4303]) ).
tcf(c_20465,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_4303]) ).
tcf(c_20466,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_4303]) ).
tcf(c_20467,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_4303]) ).
tcf(c_20468,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_4303]) ).
tcf(c_20469,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_4303]) ).
tcf(c_20470,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_4303]) ).
tcf(c_20471,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_4303]) ).
tcf(c_20472,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_4303]) ).
tcf(c_20473,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_4303]) ).
tcf(c_20474,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_4303]) ).
tcf(c_20475,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_4303]) ).
tcf(c_20476,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_4303]) ).
tcf(c_20477,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_4303]) ).
tcf(c_20478,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_4303]) ).
tcf(c_20479,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_4303]) ).
tcf(c_20480,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_4303]) ).
tcf(c_20481,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_4303]) ).
tcf(c_20482,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_4303]) ).
tcf(c_20483,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_4303]) ).
tcf(c_20484,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_4303]) ).
tcf(c_20485,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_4303]) ).
tcf(c_20486,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_4303]) ).
tcf(c_20487,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_4303]) ).
tcf(c_20488,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_4303]) ).
tcf(c_20489,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_4303]) ).
tcf(c_20490,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_4303]) ).
tcf(c_20491,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_4303]) ).
tcf(c_20492,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_4303]) ).
tcf(c_20493,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_4303]) ).
tcf(c_20494,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_4303]) ).
tcf(c_20495,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_4303]) ).
tcf(c_20496,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_4303]) ).
tcf(c_20497,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_4303]) ).
tcf(c_20498,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_4303]) ).
tcf(c_20499,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_4303]) ).
tcf(c_20500,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_4303]) ).
tcf(c_20886,plain,
( aInteger0(sdtpldt0(xp,smndt0(xa)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20395,c_78]) ).
tcf(c_20887,plain,
( aInteger0(sdtpldt0(xp,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20886,c_51]) ).
tcf(c_20894,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_4303]) ).
tcf(c_20895,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_3754]) ).
tcf(c_20896,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_3178]) ).
tcf(c_20897,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_3124]) ).
tcf(c_20898,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_3080]) ).
tcf(c_20899,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_2851]) ).
tcf(c_20900,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_2623]) ).
tcf(c_20901,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_2294]) ).
tcf(c_20902,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1883]) ).
tcf(c_20903,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xa))))) = smndt0(smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1835]) ).
tcf(c_20904,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xa)))),sz00) = smndt0(smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1774]) ).
tcf(c_20905,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_5023]) ).
tcf(c_20906,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_4917]) ).
tcf(c_20907,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xa)))),smndt0(sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1038]) ).
tcf(c_20908,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),smndt0(smndt0(sdtpldt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1004]) ).
tcf(c_20909,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1582]) ).
tcf(c_20910,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1264]) ).
tcf(c_20911,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1187]) ).
tcf(c_20912,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),xm) = sdtpldt0(xm,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1186]) ).
tcf(c_20913,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),xq) = sdtpldt0(xq,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1185]) ).
tcf(c_20914,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),xp) = sdtpldt0(xp,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1184]) ).
tcf(c_20915,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),xb) = sdtpldt0(xb,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1183]) ).
tcf(c_20916,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),xa) = sdtpldt0(xa,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1182]) ).
tcf(c_20917,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1120]) ).
tcf(c_20918,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),xm) = sdtasdt0(xm,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1119]) ).
tcf(c_20919,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),xq) = sdtasdt0(xq,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1118]) ).
tcf(c_20920,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),xp) = sdtasdt0(xp,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1117]) ).
tcf(c_20921,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),xb) = sdtasdt0(xb,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1116]) ).
tcf(c_20922,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),xa) = sdtasdt0(xa,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_1115]) ).
tcf(c_20923,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xa)))) = smndt0(sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_951]) ).
tcf(c_20924,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),sz00) = smndt0(sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_937]) ).
tcf(c_20925,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_69]) ).
tcf(c_20926,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_923]) ).
tcf(c_20927,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xa)),X0),sdtasdt0(sdtpldt0(xp,smndt0(xa)),X1)) = sdtasdt0(sdtpldt0(xp,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_68]) ).
tcf(c_20928,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,smndt0(xa)),X0),X1) = sdtpldt0(sdtpldt0(xp,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_77]) ).
tcf(c_20929,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,smndt0(xa)),X0),X1) = sdtasdt0(sdtpldt0(xp,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_71]) ).
tcf(c_20930,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_909]) ).
tcf(c_20931,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),X0) = sdtpldt0(X0,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_76]) ).
tcf(c_20932,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),X0) = sdtasdt0(X0,sdtpldt0(xp,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_70]) ).
tcf(c_20933,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),sdtpldt0(xp,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_74]) ).
tcf(c_20934,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),smndt0(sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_73]) ).
tcf(c_20935,plain,
( ( sdtpldt0(sz00,sdtpldt0(xp,smndt0(xa))) = sdtpldt0(xp,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_63]) ).
tcf(c_20936,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xa)),sz00) = sdtpldt0(xp,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_62]) ).
tcf(c_20937,plain,
( ( sdtasdt0(sz00,sdtpldt0(xp,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_61]) ).
tcf(c_20938,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_60]) ).
tcf(c_21043,plain,
( aInteger0(sdtpldt0(xp,smndt0(xb)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_20396,c_78]) ).
tcf(c_21044,plain,
( aInteger0(sdtpldt0(xp,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21043,c_51]) ).
tcf(c_21047,plain,
aInteger0(sdtpldt0(xp,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_21044,c_50,c_1168,c_21044]) ).
tcf(c_21049,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_4303]) ).
tcf(c_21050,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_3754]) ).
tcf(c_21051,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_3178]) ).
tcf(c_21052,plain,
sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_3124]) ).
tcf(c_21053,plain,
sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_3080]) ).
tcf(c_21054,plain,
sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_2851]) ).
tcf(c_21055,plain,
sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_2623]) ).
tcf(c_21056,plain,
sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_2294]) ).
tcf(c_21057,plain,
sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_1883]) ).
tcf(c_21058,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xb))))) = smndt0(smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_1835]) ).
tcf(c_21059,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xb)))),sz00) = smndt0(smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_1774]) ).
tcf(c_21060,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_5023]) ).
tcf(c_21061,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21047,c_4917]) ).
tcf(c_21062,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xb)))),smndt0(sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_1038]) ).
tcf(c_21063,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),smndt0(smndt0(sdtpldt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_1004]) ).
tcf(c_21064,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_1582]) ).
tcf(c_21065,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21047,c_1264]) ).
tcf(c_21066,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1187]) ).
tcf(c_21067,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),xm) = sdtpldt0(xm,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1186]) ).
tcf(c_21068,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),xq) = sdtpldt0(xq,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1185]) ).
tcf(c_21069,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),xp) = sdtpldt0(xp,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1184]) ).
tcf(c_21070,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),xb) = sdtpldt0(xb,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1183]) ).
tcf(c_21071,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),xa) = sdtpldt0(xa,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1182]) ).
tcf(c_21072,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1120]) ).
tcf(c_21073,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xb)),xm) = sdtasdt0(xm,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1119]) ).
tcf(c_21074,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xb)),xq) = sdtasdt0(xq,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1118]) ).
tcf(c_21075,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xb)),xp) = sdtasdt0(xp,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1117]) ).
tcf(c_21076,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xb)),xb) = sdtasdt0(xb,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1116]) ).
tcf(c_21077,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xb)),xa) = sdtasdt0(xa,sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_1115]) ).
tcf(c_21078,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xb)))) = smndt0(sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_951]) ).
tcf(c_21079,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),sz00) = smndt0(sdtpldt0(xp,smndt0(xb))),
inference(superposition,[status(thm)],[c_21047,c_937]) ).
tcf(c_21080,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21047,c_69]) ).
tcf(c_21081,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_923]) ).
tcf(c_21082,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xb)),X0),sdtasdt0(sdtpldt0(xp,smndt0(xb)),X1)) = sdtasdt0(sdtpldt0(xp,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21047,c_68]) ).
tcf(c_21083,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,smndt0(xb)),X0),X1) = sdtpldt0(sdtpldt0(xp,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21047,c_77]) ).
tcf(c_21084,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,smndt0(xb)),X0),X1) = sdtasdt0(sdtpldt0(xp,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21047,c_71]) ).
tcf(c_21085,plain,
sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21047,c_909]) ).
tcf(c_21086,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,smndt0(xb)),X0) = sdtpldt0(X0,sdtpldt0(xp,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21047,c_76]) ).
tcf(c_21087,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,smndt0(xb)),X0) = sdtasdt0(X0,sdtpldt0(xp,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21047,c_70]) ).
tcf(c_21088,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),sdtpldt0(xp,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_74]) ).
tcf(c_21089,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),smndt0(sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_73]) ).
tcf(c_21090,plain,
sdtpldt0(sz00,sdtpldt0(xp,smndt0(xb))) = sdtpldt0(xp,smndt0(xb)),
inference(superposition,[status(thm)],[c_21047,c_63]) ).
tcf(c_21091,plain,
sdtpldt0(sdtpldt0(xp,smndt0(xb)),sz00) = sdtpldt0(xp,smndt0(xb)),
inference(superposition,[status(thm)],[c_21047,c_62]) ).
tcf(c_21092,plain,
sdtasdt0(sz00,sdtpldt0(xp,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_61]) ).
tcf(c_21093,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_21047,c_60]) ).
tcf(c_21118,plain,
( aInteger0(sdtpldt0(xp,smndt0(xq)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_20398,c_78]) ).
tcf(c_21119,plain,
( aInteger0(sdtpldt0(xp,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21118,c_51]) ).
tcf(c_21126,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_4303]) ).
tcf(c_21127,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_3754]) ).
tcf(c_21128,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_3178]) ).
tcf(c_21129,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_3124]) ).
tcf(c_21130,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_3080]) ).
tcf(c_21131,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_2851]) ).
tcf(c_21132,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_2623]) ).
tcf(c_21133,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_2294]) ).
tcf(c_21134,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1883]) ).
tcf(c_21135,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xq))))) = smndt0(smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1835]) ).
tcf(c_21136,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xq)))),sz00) = smndt0(smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1774]) ).
tcf(c_21137,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_5023]) ).
tcf(c_21138,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_4917]) ).
tcf(c_21139,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xq)))),smndt0(sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1038]) ).
tcf(c_21140,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),smndt0(smndt0(sdtpldt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1004]) ).
tcf(c_21141,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1582]) ).
tcf(c_21142,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1264]) ).
tcf(c_21143,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1187]) ).
tcf(c_21144,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),xm) = sdtpldt0(xm,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1186]) ).
tcf(c_21145,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),xq) = sdtpldt0(xq,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1185]) ).
tcf(c_21146,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),xp) = sdtpldt0(xp,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1184]) ).
tcf(c_21147,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),xb) = sdtpldt0(xb,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1183]) ).
tcf(c_21148,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),xa) = sdtpldt0(xa,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1182]) ).
tcf(c_21149,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1120]) ).
tcf(c_21150,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),xm) = sdtasdt0(xm,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1119]) ).
tcf(c_21151,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),xq) = sdtasdt0(xq,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1118]) ).
tcf(c_21152,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),xp) = sdtasdt0(xp,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1117]) ).
tcf(c_21153,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),xb) = sdtasdt0(xb,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1116]) ).
tcf(c_21154,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),xa) = sdtasdt0(xa,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_1115]) ).
tcf(c_21155,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xq)))) = smndt0(sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_951]) ).
tcf(c_21156,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),sz00) = smndt0(sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_937]) ).
tcf(c_21157,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_69]) ).
tcf(c_21158,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_923]) ).
tcf(c_21159,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xq)),X0),sdtasdt0(sdtpldt0(xp,smndt0(xq)),X1)) = sdtasdt0(sdtpldt0(xp,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_68]) ).
tcf(c_21160,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,smndt0(xq)),X0),X1) = sdtpldt0(sdtpldt0(xp,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_77]) ).
tcf(c_21161,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,smndt0(xq)),X0),X1) = sdtasdt0(sdtpldt0(xp,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_71]) ).
tcf(c_21162,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_909]) ).
tcf(c_21163,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),X0) = sdtpldt0(X0,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_76]) ).
tcf(c_21164,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),X0) = sdtasdt0(X0,sdtpldt0(xp,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_70]) ).
tcf(c_21165,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),sdtpldt0(xp,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_74]) ).
tcf(c_21166,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),smndt0(sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_73]) ).
tcf(c_21167,plain,
( ( sdtpldt0(sz00,sdtpldt0(xp,smndt0(xq))) = sdtpldt0(xp,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_63]) ).
tcf(c_21168,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xq)),sz00) = sdtpldt0(xp,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_62]) ).
tcf(c_21169,plain,
( ( sdtasdt0(sz00,sdtpldt0(xp,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_61]) ).
tcf(c_21170,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_60]) ).
tcf(c_21275,plain,
( aInteger0(sdtpldt0(xp,smndt0(xm)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_20399,c_78]) ).
tcf(c_21276,plain,
( aInteger0(sdtpldt0(xp,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21275,c_51]) ).
tcf(c_21283,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_4303]) ).
tcf(c_21284,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_3754]) ).
tcf(c_21285,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_3178]) ).
tcf(c_21286,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_3124]) ).
tcf(c_21287,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_3080]) ).
tcf(c_21288,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_2851]) ).
tcf(c_21289,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_2623]) ).
tcf(c_21290,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_2294]) ).
tcf(c_21291,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1883]) ).
tcf(c_21292,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xm))))) = smndt0(smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1835]) ).
tcf(c_21293,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1774]) ).
tcf(c_21294,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_5023]) ).
tcf(c_21295,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_4917]) ).
tcf(c_21296,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xm)))),smndt0(sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1038]) ).
tcf(c_21297,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),smndt0(smndt0(sdtpldt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1004]) ).
tcf(c_21298,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1582]) ).
tcf(c_21299,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1264]) ).
tcf(c_21300,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1187]) ).
tcf(c_21301,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1186]) ).
tcf(c_21302,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1185]) ).
tcf(c_21303,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1184]) ).
tcf(c_21304,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1183]) ).
tcf(c_21305,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1182]) ).
tcf(c_21306,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1120]) ).
tcf(c_21307,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1119]) ).
tcf(c_21308,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1118]) ).
tcf(c_21309,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1117]) ).
tcf(c_21310,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1116]) ).
tcf(c_21311,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_1115]) ).
tcf(c_21312,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xm)))) = smndt0(sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_951]) ).
tcf(c_21313,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),sz00) = smndt0(sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_937]) ).
tcf(c_21314,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_69]) ).
tcf(c_21315,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_923]) ).
tcf(c_21316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,smndt0(xm)),X0),sdtasdt0(sdtpldt0(xp,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(xp,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_68]) ).
tcf(c_21317,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_77]) ).
tcf(c_21318,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_71]) ).
tcf(c_21319,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xp,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_909]) ).
tcf(c_21320,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_76]) ).
tcf(c_21321,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_70]) ).
tcf(c_21322,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),sdtpldt0(xp,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_74]) ).
tcf(c_21323,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),smndt0(sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_73]) ).
tcf(c_21324,plain,
( ( sdtpldt0(sz00,sdtpldt0(xp,smndt0(xm))) = sdtpldt0(xp,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_63]) ).
tcf(c_21325,plain,
( ( sdtpldt0(sdtpldt0(xp,smndt0(xm)),sz00) = sdtpldt0(xp,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_62]) ).
tcf(c_21326,plain,
( ( sdtasdt0(sz00,sdtpldt0(xp,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_61]) ).
tcf(c_21327,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_60]) ).
tcf(c_21488,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xa) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xa))
| ( sdtasdt0(xm,sdtasdt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3084,c_59]) ).
tcf(c_21489,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xp,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3084,c_72]) ).
tcf(c_21490,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_21489,c_56,c_1975]) ).
tcf(c_21491,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xa) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21488,c_56,c_1975]) ).
tcf(c_21495,plain,
( ( sz00 = xm )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ( sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3082,c_59]) ).
tcf(c_21496,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_3082,c_72]) ).
tcf(c_21497,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_21496,c_56,c_1633]) ).
tcf(c_21498,plain,
( ( sz00 = xm )
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21495,c_56,c_1633]) ).
tcf(c_21502,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_4303]) ).
tcf(c_21503,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_3754]) ).
tcf(c_21504,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_3178]) ).
tcf(c_21505,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_3124]) ).
tcf(c_21506,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_3080]) ).
tcf(c_21507,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_2851]) ).
tcf(c_21508,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_2623]) ).
tcf(c_21509,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_2294]) ).
tcf(c_21510,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_1883]) ).
tcf(c_21511,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_1835]) ).
tcf(c_21512,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_1774]) ).
tcf(c_21513,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_5023]) ).
tcf(c_21514,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21490,c_4917]) ).
tcf(c_21515,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_1038]) ).
tcf(c_21516,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_1004]) ).
tcf(c_21517,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_1582]) ).
tcf(c_21518,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21490,c_1264]) ).
tcf(c_21519,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1187]) ).
tcf(c_21520,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1186]) ).
tcf(c_21521,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1185]) ).
tcf(c_21522,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1184]) ).
tcf(c_21523,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1183]) ).
tcf(c_21524,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1182]) ).
tcf(c_21525,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1120]) ).
tcf(c_21526,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1119]) ).
tcf(c_21527,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1118]) ).
tcf(c_21528,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1117]) ).
tcf(c_21529,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1116]) ).
tcf(c_21530,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_1115]) ).
tcf(c_21531,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))) = smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_951]) ).
tcf(c_21532,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_21490,c_937]) ).
tcf(c_21533,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21490,c_69]) ).
tcf(c_21534,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_923]) ).
tcf(c_21535,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21490,c_68]) ).
tcf(c_21536,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21490,c_77]) ).
tcf(c_21537,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21490,c_71]) ).
tcf(c_21538,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21490,c_909]) ).
tcf(c_21539,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21490,c_76]) ).
tcf(c_21540,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21490,c_70]) ).
tcf(c_21541,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),sdtasdt0(xm,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_74]) ).
tcf(c_21542,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_73]) ).
tcf(c_21543,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xa))) = sdtasdt0(xm,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_21490,c_63]) ).
tcf(c_21544,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xa)),sz00) = sdtasdt0(xm,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_21490,c_62]) ).
tcf(c_21545,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_61]) ).
tcf(c_21546,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_21490,c_60]) ).
tcf(c_21725,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_4303]) ).
tcf(c_21726,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_3754]) ).
tcf(c_21727,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_3178]) ).
tcf(c_21728,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_3124]) ).
tcf(c_21729,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_3080]) ).
tcf(c_21730,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_2851]) ).
tcf(c_21731,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_2623]) ).
tcf(c_21732,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_2294]) ).
tcf(c_21733,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_1883]) ).
tcf(c_21734,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_1835]) ).
tcf(c_21735,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_1774]) ).
tcf(c_21736,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_5023]) ).
tcf(c_21737,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21497,c_4917]) ).
tcf(c_21738,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_1038]) ).
tcf(c_21739,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_1004]) ).
tcf(c_21740,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_1582]) ).
tcf(c_21741,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21497,c_1264]) ).
tcf(c_21742,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1187]) ).
tcf(c_21743,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1186]) ).
tcf(c_21744,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1185]) ).
tcf(c_21745,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1184]) ).
tcf(c_21746,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1183]) ).
tcf(c_21747,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1182]) ).
tcf(c_21748,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1120]) ).
tcf(c_21749,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1119]) ).
tcf(c_21750,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1118]) ).
tcf(c_21751,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1117]) ).
tcf(c_21752,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1116]) ).
tcf(c_21753,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_1115]) ).
tcf(c_21754,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_951]) ).
tcf(c_21755,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21497,c_937]) ).
tcf(c_21756,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21497,c_69]) ).
tcf(c_21757,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_923]) ).
tcf(c_21758,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21497,c_68]) ).
tcf(c_21759,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21497,c_77]) ).
tcf(c_21760,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21497,c_71]) ).
tcf(c_21761,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21497,c_909]) ).
tcf(c_21762,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21497,c_76]) ).
tcf(c_21763,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21497,c_70]) ).
tcf(c_21764,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_74]) ).
tcf(c_21765,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_73]) ).
tcf(c_21766,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))) = sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_21497,c_63]) ).
tcf(c_21767,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_21497,c_62]) ).
tcf(c_21768,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_61]) ).
tcf(c_21769,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21497,c_60]) ).
tcf(c_21834,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,xb) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,xb))
| ( sdtasdt0(xm,sdtasdt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3085,c_59]) ).
tcf(c_21835,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xa,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3085,c_72]) ).
tcf(c_21836,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_21835,c_56,c_1914]) ).
tcf(c_21837,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,xb) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21834,c_56,c_1914]) ).
tcf(c_21841,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_4303]) ).
tcf(c_21842,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_3754]) ).
tcf(c_21843,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_3178]) ).
tcf(c_21844,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_3124]) ).
tcf(c_21845,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_3080]) ).
tcf(c_21846,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_2851]) ).
tcf(c_21847,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_2623]) ).
tcf(c_21848,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_2294]) ).
tcf(c_21849,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_1883]) ).
tcf(c_21850,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_1835]) ).
tcf(c_21851,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_1774]) ).
tcf(c_21852,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_5023]) ).
tcf(c_21853,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21836,c_4917]) ).
tcf(c_21854,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_1038]) ).
tcf(c_21855,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_1004]) ).
tcf(c_21856,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_1582]) ).
tcf(c_21857,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21836,c_1264]) ).
tcf(c_21858,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1187]) ).
tcf(c_21859,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1186]) ).
tcf(c_21860,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1185]) ).
tcf(c_21861,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1184]) ).
tcf(c_21862,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1183]) ).
tcf(c_21863,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1182]) ).
tcf(c_21864,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1120]) ).
tcf(c_21865,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1119]) ).
tcf(c_21866,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1118]) ).
tcf(c_21867,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1117]) ).
tcf(c_21868,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1116]) ).
tcf(c_21869,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_1115]) ).
tcf(c_21870,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))) = smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_951]) ).
tcf(c_21871,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_21836,c_937]) ).
tcf(c_21872,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21836,c_69]) ).
tcf(c_21873,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_923]) ).
tcf(c_21874,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21836,c_68]) ).
tcf(c_21875,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21836,c_77]) ).
tcf(c_21876,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21836,c_71]) ).
tcf(c_21877,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21836,c_909]) ).
tcf(c_21878,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21836,c_76]) ).
tcf(c_21879,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21836,c_70]) ).
tcf(c_21880,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),sdtasdt0(xm,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_74]) ).
tcf(c_21881,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_73]) ).
tcf(c_21882,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xb))) = sdtasdt0(xm,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_21836,c_63]) ).
tcf(c_21883,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xb)),sz00) = sdtasdt0(xm,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_21836,c_62]) ).
tcf(c_21884,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_61]) ).
tcf(c_21885,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_21836,c_60]) ).
tcf(c_21999,plain,
( ( sz00 = xm )
| ( sdtasdt0(xq,xa) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xa))
| ( sdtasdt0(xm,sdtasdt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3086,c_59]) ).
tcf(c_22000,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xq,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3086,c_72]) ).
tcf(c_22001,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_22000,c_56,c_2091]) ).
tcf(c_22002,plain,
( ( sz00 = xm )
| ( sdtasdt0(xq,xa) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21999,c_56,c_2091]) ).
tcf(c_22006,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_4303]) ).
tcf(c_22007,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_3754]) ).
tcf(c_22008,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_3178]) ).
tcf(c_22009,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_3124]) ).
tcf(c_22010,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_3080]) ).
tcf(c_22011,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_2851]) ).
tcf(c_22012,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_2623]) ).
tcf(c_22013,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_2294]) ).
tcf(c_22014,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_1883]) ).
tcf(c_22015,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_1835]) ).
tcf(c_22016,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_1774]) ).
tcf(c_22017,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_5023]) ).
tcf(c_22018,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22001,c_4917]) ).
tcf(c_22019,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_1038]) ).
tcf(c_22020,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_1004]) ).
tcf(c_22021,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_1582]) ).
tcf(c_22022,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22001,c_1264]) ).
tcf(c_22023,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1187]) ).
tcf(c_22024,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1186]) ).
tcf(c_22025,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1185]) ).
tcf(c_22026,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1184]) ).
tcf(c_22027,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1183]) ).
tcf(c_22028,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1182]) ).
tcf(c_22029,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1120]) ).
tcf(c_22030,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1119]) ).
tcf(c_22031,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1118]) ).
tcf(c_22032,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1117]) ).
tcf(c_22033,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1116]) ).
tcf(c_22034,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_1115]) ).
tcf(c_22035,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))) = smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_951]) ).
tcf(c_22036,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_22001,c_937]) ).
tcf(c_22037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22001,c_69]) ).
tcf(c_22038,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_923]) ).
tcf(c_22039,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22001,c_68]) ).
tcf(c_22040,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22001,c_77]) ).
tcf(c_22041,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22001,c_71]) ).
tcf(c_22042,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22001,c_909]) ).
tcf(c_22043,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22001,c_76]) ).
tcf(c_22044,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22001,c_70]) ).
tcf(c_22045,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),sdtasdt0(xm,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_74]) ).
tcf(c_22046,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_73]) ).
tcf(c_22047,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xa))) = sdtasdt0(xm,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_22001,c_63]) ).
tcf(c_22048,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xa)),sz00) = sdtasdt0(xm,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_22001,c_62]) ).
tcf(c_22049,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_61]) ).
tcf(c_22050,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22001,c_60]) ).
tcf(c_22102,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,xm))
| ( sdtasdt0(xm,sdtasdt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3087,c_59]) ).
tcf(c_22103,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xa,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3087,c_72]) ).
tcf(c_22104,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_22103,c_56,c_2166]) ).
tcf(c_22105,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,xm) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22102,c_56,c_2166]) ).
tcf(c_22125,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_4303]) ).
tcf(c_22126,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_3754]) ).
tcf(c_22127,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_3178]) ).
tcf(c_22128,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_3124]) ).
tcf(c_22129,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_3080]) ).
tcf(c_22130,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_2851]) ).
tcf(c_22131,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_2623]) ).
tcf(c_22132,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_2294]) ).
tcf(c_22133,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_1883]) ).
tcf(c_22134,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_1835]) ).
tcf(c_22135,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_1774]) ).
tcf(c_22136,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_5023]) ).
tcf(c_22137,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22104,c_4917]) ).
tcf(c_22138,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_1038]) ).
tcf(c_22139,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_1004]) ).
tcf(c_22140,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_1582]) ).
tcf(c_22141,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22104,c_1264]) ).
tcf(c_22142,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1187]) ).
tcf(c_22143,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1186]) ).
tcf(c_22144,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1185]) ).
tcf(c_22145,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1184]) ).
tcf(c_22146,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1183]) ).
tcf(c_22147,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1182]) ).
tcf(c_22148,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1120]) ).
tcf(c_22149,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1119]) ).
tcf(c_22150,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1118]) ).
tcf(c_22151,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1117]) ).
tcf(c_22152,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1116]) ).
tcf(c_22153,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_1115]) ).
tcf(c_22154,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))) = smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_951]) ).
tcf(c_22155,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_22104,c_937]) ).
tcf(c_22156,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22104,c_69]) ).
tcf(c_22157,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_923]) ).
tcf(c_22158,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22104,c_68]) ).
tcf(c_22159,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22104,c_77]) ).
tcf(c_22160,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22104,c_71]) ).
tcf(c_22161,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22104,c_909]) ).
tcf(c_22162,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22104,c_76]) ).
tcf(c_22163,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22104,c_70]) ).
tcf(c_22164,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),sdtasdt0(xm,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_74]) ).
tcf(c_22165,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_73]) ).
tcf(c_22166,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xm))) = sdtasdt0(xm,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_22104,c_63]) ).
tcf(c_22167,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,xm)),sz00) = sdtasdt0(xm,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_22104,c_62]) ).
tcf(c_22168,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_61]) ).
tcf(c_22169,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22104,c_60]) ).
tcf(c_22222,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xb) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xb))
| ( sdtasdt0(xm,sdtasdt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3088,c_59]) ).
tcf(c_22223,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xp,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3088,c_72]) ).
tcf(c_22224,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_22223,c_56,c_2315]) ).
tcf(c_22225,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xb) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22222,c_56,c_2315]) ).
tcf(c_22229,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_4303]) ).
tcf(c_22230,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_3754]) ).
tcf(c_22231,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_3178]) ).
tcf(c_22232,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_3124]) ).
tcf(c_22233,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_3080]) ).
tcf(c_22234,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_2851]) ).
tcf(c_22235,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_2623]) ).
tcf(c_22236,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_2294]) ).
tcf(c_22237,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_1883]) ).
tcf(c_22238,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_1835]) ).
tcf(c_22239,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_1774]) ).
tcf(c_22240,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_5023]) ).
tcf(c_22241,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22224,c_4917]) ).
tcf(c_22242,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_1038]) ).
tcf(c_22243,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_1004]) ).
tcf(c_22244,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_1582]) ).
tcf(c_22245,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22224,c_1264]) ).
tcf(c_22246,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1187]) ).
tcf(c_22247,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1186]) ).
tcf(c_22248,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1185]) ).
tcf(c_22249,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1184]) ).
tcf(c_22250,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1183]) ).
tcf(c_22251,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1182]) ).
tcf(c_22252,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1120]) ).
tcf(c_22253,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1119]) ).
tcf(c_22254,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1118]) ).
tcf(c_22255,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1117]) ).
tcf(c_22256,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1116]) ).
tcf(c_22257,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_1115]) ).
tcf(c_22258,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))) = smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_951]) ).
tcf(c_22259,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_22224,c_937]) ).
tcf(c_22260,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_69]) ).
tcf(c_22261,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_923]) ).
tcf(c_22262,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_68]) ).
tcf(c_22263,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_77]) ).
tcf(c_22264,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_71]) ).
tcf(c_22265,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22224,c_909]) ).
tcf(c_22266,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_76]) ).
tcf(c_22267,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_70]) ).
tcf(c_22268,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),sdtasdt0(xm,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_74]) ).
tcf(c_22269,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_73]) ).
tcf(c_22270,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xb))) = sdtasdt0(xm,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_22224,c_63]) ).
tcf(c_22271,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xb)),sz00) = sdtasdt0(xm,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_22224,c_62]) ).
tcf(c_22272,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_61]) ).
tcf(c_22273,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22224,c_60]) ).
tcf(c_22396,plain,
( ( sz00 = xm )
| ( sdtasdt0(xq,xb) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xb))
| ( sdtasdt0(xm,sdtasdt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3089,c_59]) ).
tcf(c_22397,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xq,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3089,c_72]) ).
tcf(c_22398,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_22397,c_56,c_2420]) ).
tcf(c_22399,plain,
( ( sz00 = xm )
| ( sdtasdt0(xq,xb) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22396,c_56,c_2420]) ).
tcf(c_22403,plain,
( ( sz00 = xm )
| ( sdtasdt0(xb,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xb,xm))
| ( sdtasdt0(xm,sdtasdt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3090,c_59]) ).
tcf(c_22404,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xb,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_3090,c_72]) ).
tcf(c_22405,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_22404,c_56,c_2484]) ).
tcf(c_22406,plain,
( ( sz00 = xm )
| ( sdtasdt0(xb,xm) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22403,c_56,c_2484]) ).
tcf(c_22410,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_4303]) ).
tcf(c_22411,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_3754]) ).
tcf(c_22412,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_3178]) ).
tcf(c_22413,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_3124]) ).
tcf(c_22414,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_3080]) ).
tcf(c_22415,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_2851]) ).
tcf(c_22416,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_2623]) ).
tcf(c_22417,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_2294]) ).
tcf(c_22418,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_1883]) ).
tcf(c_22419,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_1835]) ).
tcf(c_22420,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_1774]) ).
tcf(c_22421,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_5023]) ).
tcf(c_22422,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22398,c_4917]) ).
tcf(c_22423,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_1038]) ).
tcf(c_22424,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_1004]) ).
tcf(c_22425,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_1582]) ).
tcf(c_22426,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22398,c_1264]) ).
tcf(c_22427,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1187]) ).
tcf(c_22428,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1186]) ).
tcf(c_22429,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1185]) ).
tcf(c_22430,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1184]) ).
tcf(c_22431,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1183]) ).
tcf(c_22432,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1182]) ).
tcf(c_22433,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1120]) ).
tcf(c_22434,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1119]) ).
tcf(c_22435,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1118]) ).
tcf(c_22436,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1117]) ).
tcf(c_22437,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1116]) ).
tcf(c_22438,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_1115]) ).
tcf(c_22439,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))) = smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_951]) ).
tcf(c_22440,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_22398,c_937]) ).
tcf(c_22441,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22398,c_69]) ).
tcf(c_22442,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_923]) ).
tcf(c_22443,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22398,c_68]) ).
tcf(c_22444,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22398,c_77]) ).
tcf(c_22445,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22398,c_71]) ).
tcf(c_22446,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22398,c_909]) ).
tcf(c_22447,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22398,c_76]) ).
tcf(c_22448,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22398,c_70]) ).
tcf(c_22449,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),sdtasdt0(xm,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_74]) ).
tcf(c_22450,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_73]) ).
tcf(c_22451,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xb))) = sdtasdt0(xm,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_22398,c_63]) ).
tcf(c_22452,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xb)),sz00) = sdtasdt0(xm,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_22398,c_62]) ).
tcf(c_22453,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_61]) ).
tcf(c_22454,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22398,c_60]) ).
tcf(c_22507,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_4303]) ).
tcf(c_22508,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_3754]) ).
tcf(c_22509,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_3178]) ).
tcf(c_22510,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_3124]) ).
tcf(c_22511,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_3080]) ).
tcf(c_22512,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_2851]) ).
tcf(c_22513,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_2623]) ).
tcf(c_22514,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_2294]) ).
tcf(c_22515,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_1883]) ).
tcf(c_22516,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_1835]) ).
tcf(c_22517,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_1774]) ).
tcf(c_22518,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_5023]) ).
tcf(c_22519,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22405,c_4917]) ).
tcf(c_22520,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_1038]) ).
tcf(c_22521,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_1004]) ).
tcf(c_22522,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_1582]) ).
tcf(c_22523,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22405,c_1264]) ).
tcf(c_22524,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1187]) ).
tcf(c_22525,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1186]) ).
tcf(c_22526,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1185]) ).
tcf(c_22527,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1184]) ).
tcf(c_22528,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1183]) ).
tcf(c_22529,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1182]) ).
tcf(c_22530,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1120]) ).
tcf(c_22531,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1119]) ).
tcf(c_22532,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1118]) ).
tcf(c_22533,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1117]) ).
tcf(c_22534,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1116]) ).
tcf(c_22535,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_1115]) ).
tcf(c_22536,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))) = smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_951]) ).
tcf(c_22537,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_22405,c_937]) ).
tcf(c_22538,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22405,c_69]) ).
tcf(c_22539,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_923]) ).
tcf(c_22540,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22405,c_68]) ).
tcf(c_22541,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22405,c_77]) ).
tcf(c_22542,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22405,c_71]) ).
tcf(c_22543,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22405,c_909]) ).
tcf(c_22544,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22405,c_76]) ).
tcf(c_22545,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22405,c_70]) ).
tcf(c_22546,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),sdtasdt0(xm,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_74]) ).
tcf(c_22547,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_73]) ).
tcf(c_22548,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xb,xm))) = sdtasdt0(xm,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_22405,c_63]) ).
tcf(c_22549,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xb,xm)),sz00) = sdtasdt0(xm,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_22405,c_62]) ).
tcf(c_22550,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_61]) ).
tcf(c_22551,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22405,c_60]) ).
tcf(c_22699,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xm))
| ( sdtasdt0(xm,sdtasdt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3091,c_59]) ).
tcf(c_22700,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xp,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_3091,c_72]) ).
tcf(c_22701,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_22700,c_56,c_2753]) ).
tcf(c_22702,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22699,c_56,c_2753]) ).
tcf(c_22706,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_4303]) ).
tcf(c_22707,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_3754]) ).
tcf(c_22708,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_3178]) ).
tcf(c_22709,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_3124]) ).
tcf(c_22710,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_3080]) ).
tcf(c_22711,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_2851]) ).
tcf(c_22712,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_2623]) ).
tcf(c_22713,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_2294]) ).
tcf(c_22714,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_1883]) ).
tcf(c_22715,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_1835]) ).
tcf(c_22716,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_1774]) ).
tcf(c_22717,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_5023]) ).
tcf(c_22718,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22701,c_4917]) ).
tcf(c_22719,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_1038]) ).
tcf(c_22720,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_1004]) ).
tcf(c_22721,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_1582]) ).
tcf(c_22722,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22701,c_1264]) ).
tcf(c_22723,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1187]) ).
tcf(c_22724,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1186]) ).
tcf(c_22725,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1185]) ).
tcf(c_22726,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1184]) ).
tcf(c_22727,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1183]) ).
tcf(c_22728,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1182]) ).
tcf(c_22729,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1120]) ).
tcf(c_22730,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1119]) ).
tcf(c_22731,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1118]) ).
tcf(c_22732,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1117]) ).
tcf(c_22733,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1116]) ).
tcf(c_22734,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_1115]) ).
tcf(c_22735,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))) = smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_951]) ).
tcf(c_22736,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_22701,c_937]) ).
tcf(c_22737,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22701,c_69]) ).
tcf(c_22738,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_923]) ).
tcf(c_22739,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22701,c_68]) ).
tcf(c_22740,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22701,c_77]) ).
tcf(c_22741,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22701,c_71]) ).
tcf(c_22742,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22701,c_909]) ).
tcf(c_22743,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22701,c_76]) ).
tcf(c_22744,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22701,c_70]) ).
tcf(c_22745,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),sdtasdt0(xm,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_74]) ).
tcf(c_22746,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_73]) ).
tcf(c_22747,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xm))) = sdtasdt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_22701,c_63]) ).
tcf(c_22748,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xp,xm)),sz00) = sdtasdt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_22701,c_62]) ).
tcf(c_22749,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_61]) ).
tcf(c_22750,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22701,c_60]) ).
tcf(c_22811,plain,
( ( sz00 = xm )
| ( sdtasdt0(xq,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xm))
| ( sdtasdt0(xm,sdtasdt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3092,c_59]) ).
tcf(c_22812,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xq,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_3092,c_72]) ).
tcf(c_22813,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_22812,c_56,c_2918]) ).
tcf(c_22814,plain,
( ( sz00 = xm )
| ( sdtasdt0(xq,xm) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22811,c_56,c_2918]) ).
tcf(c_22818,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_4303]) ).
tcf(c_22819,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_3754]) ).
tcf(c_22820,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_3178]) ).
tcf(c_22821,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_3124]) ).
tcf(c_22822,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_3080]) ).
tcf(c_22823,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_2851]) ).
tcf(c_22824,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_2623]) ).
tcf(c_22825,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_2294]) ).
tcf(c_22826,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_1883]) ).
tcf(c_22827,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_1835]) ).
tcf(c_22828,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_1774]) ).
tcf(c_22829,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_5023]) ).
tcf(c_22830,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22813,c_4917]) ).
tcf(c_22831,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_1038]) ).
tcf(c_22832,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_1004]) ).
tcf(c_22833,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_1582]) ).
tcf(c_22834,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22813,c_1264]) ).
tcf(c_22835,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1187]) ).
tcf(c_22836,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1186]) ).
tcf(c_22837,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1185]) ).
tcf(c_22838,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1184]) ).
tcf(c_22839,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1183]) ).
tcf(c_22840,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1182]) ).
tcf(c_22841,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1120]) ).
tcf(c_22842,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1119]) ).
tcf(c_22843,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1118]) ).
tcf(c_22844,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1117]) ).
tcf(c_22845,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1116]) ).
tcf(c_22846,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_1115]) ).
tcf(c_22847,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))) = smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_951]) ).
tcf(c_22848,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_22813,c_937]) ).
tcf(c_22849,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22813,c_69]) ).
tcf(c_22850,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_923]) ).
tcf(c_22851,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22813,c_68]) ).
tcf(c_22852,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22813,c_77]) ).
tcf(c_22853,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22813,c_71]) ).
tcf(c_22854,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22813,c_909]) ).
tcf(c_22855,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22813,c_76]) ).
tcf(c_22856,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22813,c_70]) ).
tcf(c_22857,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),sdtasdt0(xm,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_74]) ).
tcf(c_22858,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_73]) ).
tcf(c_22859,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xm))) = sdtasdt0(xm,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_22813,c_63]) ).
tcf(c_22860,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xq,xm)),sz00) = sdtasdt0(xm,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_22813,c_62]) ).
tcf(c_22861,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_61]) ).
tcf(c_22862,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22813,c_60]) ).
tcf(c_22924,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xp,xq)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_3181,c_78]) ).
tcf(c_22925,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_22924,c_49,c_2661]) ).
tcf(c_22926,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_4303]) ).
tcf(c_22927,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_3754]) ).
tcf(c_22928,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_3178]) ).
tcf(c_22929,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_3124]) ).
tcf(c_22930,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_3080]) ).
tcf(c_22931,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_2851]) ).
tcf(c_22932,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_2623]) ).
tcf(c_22933,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_2294]) ).
tcf(c_22934,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_1883]) ).
tcf(c_22935,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_1835]) ).
tcf(c_22936,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_1774]) ).
tcf(c_22937,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_5023]) ).
tcf(c_22938,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22925,c_4917]) ).
tcf(c_22939,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_1038]) ).
tcf(c_22940,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_1004]) ).
tcf(c_22941,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_1582]) ).
tcf(c_22942,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22925,c_1264]) ).
tcf(c_22943,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1187]) ).
tcf(c_22944,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1186]) ).
tcf(c_22945,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1185]) ).
tcf(c_22946,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1184]) ).
tcf(c_22947,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1183]) ).
tcf(c_22948,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1182]) ).
tcf(c_22949,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1120]) ).
tcf(c_22950,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1119]) ).
tcf(c_22951,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1118]) ).
tcf(c_22952,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1117]) ).
tcf(c_22953,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1116]) ).
tcf(c_22954,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_1115]) ).
tcf(c_22955,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_951]) ).
tcf(c_22956,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_22925,c_937]) ).
tcf(c_22957,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22925,c_69]) ).
tcf(c_22958,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_923]) ).
tcf(c_22959,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22925,c_68]) ).
tcf(c_22960,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22925,c_77]) ).
tcf(c_22961,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22925,c_71]) ).
tcf(c_22962,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22925,c_909]) ).
tcf(c_22963,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22925,c_76]) ).
tcf(c_22964,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22925,c_70]) ).
tcf(c_22965,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sdtpldt0(xa,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_74]) ).
tcf(c_22966,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_73]) ).
tcf(c_22967,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq))) = sdtpldt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_22925,c_63]) ).
tcf(c_22968,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00) = sdtpldt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_22925,c_62]) ).
tcf(c_22969,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_61]) ).
tcf(c_22970,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22925,c_60]) ).
tcf(c_23015,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xp,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3182,c_78]) ).
tcf(c_23016,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_23015,c_49,c_1975]) ).
tcf(c_23017,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_4303]) ).
tcf(c_23018,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_3754]) ).
tcf(c_23019,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_3178]) ).
tcf(c_23020,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_3124]) ).
tcf(c_23021,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_3080]) ).
tcf(c_23022,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_2851]) ).
tcf(c_23023,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_2623]) ).
tcf(c_23024,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_2294]) ).
tcf(c_23025,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_1883]) ).
tcf(c_23026,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_1835]) ).
tcf(c_23027,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_1774]) ).
tcf(c_23028,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_5023]) ).
tcf(c_23029,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23016,c_4917]) ).
tcf(c_23030,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_1038]) ).
tcf(c_23031,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_1004]) ).
tcf(c_23032,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_1582]) ).
tcf(c_23033,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23016,c_1264]) ).
tcf(c_23034,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1187]) ).
tcf(c_23035,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1186]) ).
tcf(c_23036,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1185]) ).
tcf(c_23037,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1184]) ).
tcf(c_23038,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1183]) ).
tcf(c_23039,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1182]) ).
tcf(c_23040,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1120]) ).
tcf(c_23041,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1119]) ).
tcf(c_23042,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1118]) ).
tcf(c_23043,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1117]) ).
tcf(c_23044,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1116]) ).
tcf(c_23045,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_1115]) ).
tcf(c_23046,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_951]) ).
tcf(c_23047,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_23016,c_937]) ).
tcf(c_23048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_69]) ).
tcf(c_23049,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_923]) ).
tcf(c_23050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_68]) ).
tcf(c_23051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_77]) ).
tcf(c_23052,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_71]) ).
tcf(c_23053,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23016,c_909]) ).
tcf(c_23054,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_76]) ).
tcf(c_23055,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_70]) ).
tcf(c_23056,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),sdtpldt0(xa,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_74]) ).
tcf(c_23057,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_73]) ).
tcf(c_23058,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xa))) = sdtpldt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_23016,c_63]) ).
tcf(c_23059,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xa)),sz00) = sdtpldt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_23016,c_62]) ).
tcf(c_23060,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_61]) ).
tcf(c_23061,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23016,c_60]) ).
tcf(c_23197,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_3180,c_78]) ).
tcf(c_23198,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_23197,c_49,c_1633]) ).
tcf(c_23199,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_4303]) ).
tcf(c_23200,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_3754]) ).
tcf(c_23201,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_3178]) ).
tcf(c_23202,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_3124]) ).
tcf(c_23203,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_3080]) ).
tcf(c_23204,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_2851]) ).
tcf(c_23205,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_2623]) ).
tcf(c_23206,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_2294]) ).
tcf(c_23207,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_1883]) ).
tcf(c_23208,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_1835]) ).
tcf(c_23209,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_1774]) ).
tcf(c_23210,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_5023]) ).
tcf(c_23211,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23198,c_4917]) ).
tcf(c_23212,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_1038]) ).
tcf(c_23213,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_1004]) ).
tcf(c_23214,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_1582]) ).
tcf(c_23215,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23198,c_1264]) ).
tcf(c_23216,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1187]) ).
tcf(c_23217,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1186]) ).
tcf(c_23218,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1185]) ).
tcf(c_23219,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1184]) ).
tcf(c_23220,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1183]) ).
tcf(c_23221,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1182]) ).
tcf(c_23222,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1120]) ).
tcf(c_23223,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1119]) ).
tcf(c_23224,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1118]) ).
tcf(c_23225,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1117]) ).
tcf(c_23226,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1116]) ).
tcf(c_23227,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_1115]) ).
tcf(c_23228,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_951]) ).
tcf(c_23229,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_23198,c_937]) ).
tcf(c_23230,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23198,c_69]) ).
tcf(c_23231,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_923]) ).
tcf(c_23232,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23198,c_68]) ).
tcf(c_23233,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23198,c_77]) ).
tcf(c_23234,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23198,c_71]) ).
tcf(c_23235,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23198,c_909]) ).
tcf(c_23236,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23198,c_76]) ).
tcf(c_23237,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23198,c_70]) ).
tcf(c_23238,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_74]) ).
tcf(c_23239,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_73]) ).
tcf(c_23240,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_23198,c_63]) ).
tcf(c_23241,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_23198,c_62]) ).
tcf(c_23242,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_61]) ).
tcf(c_23243,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23198,c_60]) ).
tcf(c_23305,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xa,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3183,c_78]) ).
tcf(c_23306,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_23305,c_49,c_1914]) ).
tcf(c_23307,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_4303]) ).
tcf(c_23308,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_3754]) ).
tcf(c_23309,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_3178]) ).
tcf(c_23310,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_3124]) ).
tcf(c_23311,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_3080]) ).
tcf(c_23312,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_2851]) ).
tcf(c_23313,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_2623]) ).
tcf(c_23314,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_2294]) ).
tcf(c_23315,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_1883]) ).
tcf(c_23316,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_1835]) ).
tcf(c_23317,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_1774]) ).
tcf(c_23318,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_5023]) ).
tcf(c_23319,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23306,c_4917]) ).
tcf(c_23320,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_1038]) ).
tcf(c_23321,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_1004]) ).
tcf(c_23322,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_1582]) ).
tcf(c_23323,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23306,c_1264]) ).
tcf(c_23324,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1187]) ).
tcf(c_23325,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1186]) ).
tcf(c_23326,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1185]) ).
tcf(c_23327,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1184]) ).
tcf(c_23328,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1183]) ).
tcf(c_23329,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1182]) ).
tcf(c_23330,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1120]) ).
tcf(c_23331,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1119]) ).
tcf(c_23332,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1118]) ).
tcf(c_23333,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1117]) ).
tcf(c_23334,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1116]) ).
tcf(c_23335,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_1115]) ).
tcf(c_23336,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))) = smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_951]) ).
tcf(c_23337,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_23306,c_937]) ).
tcf(c_23338,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23306,c_69]) ).
tcf(c_23339,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_923]) ).
tcf(c_23340,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23306,c_68]) ).
tcf(c_23341,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23306,c_77]) ).
tcf(c_23342,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23306,c_71]) ).
tcf(c_23343,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23306,c_909]) ).
tcf(c_23344,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23306,c_76]) ).
tcf(c_23345,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23306,c_70]) ).
tcf(c_23346,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),sdtpldt0(xa,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_74]) ).
tcf(c_23347,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_73]) ).
tcf(c_23348,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xb))) = sdtpldt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_23306,c_63]) ).
tcf(c_23349,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xb)),sz00) = sdtpldt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_23306,c_62]) ).
tcf(c_23350,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_61]) ).
tcf(c_23351,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23306,c_60]) ).
tcf(c_23412,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xq,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3184,c_78]) ).
tcf(c_23413,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_23412,c_49,c_2091]) ).
tcf(c_23414,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_4303]) ).
tcf(c_23415,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_3754]) ).
tcf(c_23416,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_3178]) ).
tcf(c_23417,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_3124]) ).
tcf(c_23418,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_3080]) ).
tcf(c_23419,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_2851]) ).
tcf(c_23420,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_2623]) ).
tcf(c_23421,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_2294]) ).
tcf(c_23422,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_1883]) ).
tcf(c_23423,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_1835]) ).
tcf(c_23424,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_1774]) ).
tcf(c_23425,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_5023]) ).
tcf(c_23426,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23413,c_4917]) ).
tcf(c_23427,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_1038]) ).
tcf(c_23428,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_1004]) ).
tcf(c_23429,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_1582]) ).
tcf(c_23430,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23413,c_1264]) ).
tcf(c_23431,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1187]) ).
tcf(c_23432,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1186]) ).
tcf(c_23433,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1185]) ).
tcf(c_23434,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1184]) ).
tcf(c_23435,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1183]) ).
tcf(c_23436,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1182]) ).
tcf(c_23437,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1120]) ).
tcf(c_23438,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1119]) ).
tcf(c_23439,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1118]) ).
tcf(c_23440,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1117]) ).
tcf(c_23441,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1116]) ).
tcf(c_23442,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_1115]) ).
tcf(c_23443,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))) = smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_951]) ).
tcf(c_23444,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_23413,c_937]) ).
tcf(c_23445,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23413,c_69]) ).
tcf(c_23446,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_923]) ).
tcf(c_23447,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23413,c_68]) ).
tcf(c_23448,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23413,c_77]) ).
tcf(c_23449,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23413,c_71]) ).
tcf(c_23450,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23413,c_909]) ).
tcf(c_23451,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23413,c_76]) ).
tcf(c_23452,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23413,c_70]) ).
tcf(c_23453,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),sdtpldt0(xa,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_74]) ).
tcf(c_23454,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_73]) ).
tcf(c_23455,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xa))) = sdtpldt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_23413,c_63]) ).
tcf(c_23456,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xa)),sz00) = sdtpldt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_23413,c_62]) ).
tcf(c_23457,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_61]) ).
tcf(c_23458,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23413,c_60]) ).
tcf(c_23661,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xa,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3185,c_78]) ).
tcf(c_23662,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_23661,c_49,c_2166]) ).
tcf(c_23663,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_4303]) ).
tcf(c_23664,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_3754]) ).
tcf(c_23665,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_3178]) ).
tcf(c_23666,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_3124]) ).
tcf(c_23667,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_3080]) ).
tcf(c_23668,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_2851]) ).
tcf(c_23669,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_2623]) ).
tcf(c_23670,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_2294]) ).
tcf(c_23671,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_1883]) ).
tcf(c_23672,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_1835]) ).
tcf(c_23673,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_1774]) ).
tcf(c_23674,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_5023]) ).
tcf(c_23675,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23662,c_4917]) ).
tcf(c_23676,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_1038]) ).
tcf(c_23677,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_1004]) ).
tcf(c_23678,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_1582]) ).
tcf(c_23679,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23662,c_1264]) ).
tcf(c_23680,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1187]) ).
tcf(c_23681,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1186]) ).
tcf(c_23682,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1185]) ).
tcf(c_23683,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1184]) ).
tcf(c_23684,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1183]) ).
tcf(c_23685,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1182]) ).
tcf(c_23686,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1120]) ).
tcf(c_23687,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1119]) ).
tcf(c_23688,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1118]) ).
tcf(c_23689,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1117]) ).
tcf(c_23690,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1116]) ).
tcf(c_23691,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_1115]) ).
tcf(c_23692,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))) = smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_951]) ).
tcf(c_23693,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_23662,c_937]) ).
tcf(c_23694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23662,c_69]) ).
tcf(c_23695,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_923]) ).
tcf(c_23696,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23662,c_68]) ).
tcf(c_23697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23662,c_77]) ).
tcf(c_23698,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23662,c_71]) ).
tcf(c_23699,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23662,c_909]) ).
tcf(c_23700,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23662,c_76]) ).
tcf(c_23701,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23662,c_70]) ).
tcf(c_23702,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),sdtpldt0(xa,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_74]) ).
tcf(c_23703,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_73]) ).
tcf(c_23704,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xm))) = sdtpldt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_23662,c_63]) ).
tcf(c_23705,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,xm)),sz00) = sdtpldt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_23662,c_62]) ).
tcf(c_23706,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_61]) ).
tcf(c_23707,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23662,c_60]) ).
tcf(c_23768,plain,
sdtpldt0(smndt0(xa),xq) = sdtpldt0(xq,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_4587]) ).
tcf(c_23769,plain,
sdtpldt0(smndt0(xb),xq) = sdtpldt0(xq,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_4587]) ).
tcf(c_23770,plain,
sdtpldt0(smndt0(xp),xq) = sdtpldt0(xq,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_4587]) ).
tcf(c_23771,plain,
sdtpldt0(smndt0(xq),xq) = sdtpldt0(xq,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_4587]) ).
tcf(c_23772,plain,
sdtpldt0(smndt0(xm),xq) = sdtpldt0(xq,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_4587]) ).
tcf(c_23773,plain,
sdtpldt0(smndt0(sz00),xq) = sdtpldt0(xq,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_4587]) ).
tcf(c_23774,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_4587]) ).
tcf(c_23775,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),xq) = sdtpldt0(xq,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_4587]) ).
tcf(c_23776,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_4587]) ).
tcf(c_23777,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_4587]) ).
tcf(c_23778,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_4587]) ).
tcf(c_23779,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_4587]) ).
tcf(c_23780,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_4587]) ).
tcf(c_23781,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_4587]) ).
tcf(c_23782,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_4587]) ).
tcf(c_23783,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_4587]) ).
tcf(c_23784,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_4587]) ).
tcf(c_23785,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_4587]) ).
tcf(c_23786,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_4587]) ).
tcf(c_23787,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_4587]) ).
tcf(c_23788,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_4587]) ).
tcf(c_23789,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_4587]) ).
tcf(c_23790,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_4587]) ).
tcf(c_23791,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_4587]) ).
tcf(c_23792,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_4587]) ).
tcf(c_23793,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_4587]) ).
tcf(c_23794,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_4587]) ).
tcf(c_23795,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_4587]) ).
tcf(c_23796,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_4587]) ).
tcf(c_23797,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_4587]) ).
tcf(c_23798,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_4587]) ).
tcf(c_23799,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_4587]) ).
tcf(c_23800,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_4587]) ).
tcf(c_23801,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_4587]) ).
tcf(c_23802,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_4587]) ).
tcf(c_23803,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_4587]) ).
tcf(c_23804,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_4587]) ).
tcf(c_23805,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_4587]) ).
tcf(c_23806,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_4587]) ).
tcf(c_23807,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_4587]) ).
tcf(c_23808,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_4587]) ).
tcf(c_23809,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_4587]) ).
tcf(c_23810,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_4587]) ).
tcf(c_23811,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_4587]) ).
tcf(c_23812,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_4587]) ).
tcf(c_23813,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_4587]) ).
tcf(c_23814,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_4587]) ).
tcf(c_23815,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_4587]) ).
tcf(c_23816,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_4587]) ).
tcf(c_23817,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_4587]) ).
tcf(c_23818,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_4587]) ).
tcf(c_23819,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_4587]) ).
tcf(c_23820,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_4587]) ).
tcf(c_23821,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_4587]) ).
tcf(c_23822,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_4587]) ).
tcf(c_23823,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_4587]) ).
tcf(c_23824,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_4587]) ).
tcf(c_23825,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_4587]) ).
tcf(c_23826,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_4587]) ).
tcf(c_23827,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_4587]) ).
tcf(c_23828,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_4587]) ).
tcf(c_23829,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_4587]) ).
tcf(c_23830,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_4587]) ).
tcf(c_23831,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_4587]) ).
tcf(c_23832,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_4587]) ).
tcf(c_23833,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_4587]) ).
tcf(c_23834,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_4587]) ).
tcf(c_23835,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_4587]) ).
tcf(c_23836,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_4587]) ).
tcf(c_23837,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_4587]) ).
tcf(c_23838,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_4587]) ).
tcf(c_23839,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_4587]) ).
tcf(c_23840,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_4587]) ).
tcf(c_23841,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_4587]) ).
tcf(c_23842,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_4587]) ).
tcf(c_23843,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_4587]) ).
tcf(c_23844,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_4587]) ).
tcf(c_23845,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_4587]) ).
tcf(c_23846,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_4587]) ).
tcf(c_23847,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_4587]) ).
tcf(c_23848,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_4587]) ).
tcf(c_23849,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_4587]) ).
tcf(c_23850,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_4587]) ).
tcf(c_23851,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_4587]) ).
tcf(c_23852,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_4587]) ).
tcf(c_23853,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_4587]) ).
tcf(c_23854,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_4587]) ).
tcf(c_23855,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_4587]) ).
tcf(c_23856,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_4587]) ).
tcf(c_23857,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_4587]) ).
tcf(c_23858,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_4587]) ).
tcf(c_23859,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_4587]) ).
tcf(c_23860,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_4587]) ).
tcf(c_23861,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_4587]) ).
tcf(c_23862,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_4587]) ).
tcf(c_23863,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_4587]) ).
tcf(c_23864,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_4587]) ).
tcf(c_23865,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_4587]) ).
tcf(c_23866,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_4587]) ).
tcf(c_23867,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_4587]) ).
tcf(c_23868,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_4587]) ).
tcf(c_23869,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_4587]) ).
tcf(c_23870,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_4587]) ).
tcf(c_23871,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_4587]) ).
tcf(c_23872,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_4587]) ).
tcf(c_23873,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_4587]) ).
tcf(c_23874,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_4587]) ).
tcf(c_23875,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_4587]) ).
tcf(c_23876,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_4587]) ).
tcf(c_23877,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_4587]) ).
tcf(c_23878,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_4587]) ).
tcf(c_23879,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_4587]) ).
tcf(c_23880,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_4587]) ).
tcf(c_23881,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_4587]) ).
tcf(c_23882,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_4587]) ).
tcf(c_23883,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_4587]) ).
tcf(c_23884,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_4587]) ).
tcf(c_23885,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_4587]) ).
tcf(c_23886,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_4587]) ).
tcf(c_23887,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_4587]) ).
tcf(c_23888,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_4587]) ).
tcf(c_23889,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_4587]) ).
tcf(c_23890,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_4587]) ).
tcf(c_23891,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_4587]) ).
tcf(c_23892,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_4587]) ).
tcf(c_23893,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_4587]) ).
tcf(c_24101,plain,
( aInteger0(sdtpldt0(xq,smndt0(xa)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_23768,c_78]) ).
tcf(c_24102,plain,
( aInteger0(sdtpldt0(xq,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24101,c_53]) ).
tcf(c_24109,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_4587]) ).
tcf(c_24110,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_4303]) ).
tcf(c_24111,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_3754]) ).
tcf(c_24112,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_3178]) ).
tcf(c_24113,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_3124]) ).
tcf(c_24114,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_3080]) ).
tcf(c_24115,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_2851]) ).
tcf(c_24116,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_2623]) ).
tcf(c_24117,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_2294]) ).
tcf(c_24118,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1883]) ).
tcf(c_24119,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xa))))) = smndt0(smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1835]) ).
tcf(c_24120,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xa)))),sz00) = smndt0(smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1774]) ).
tcf(c_24121,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_5023]) ).
tcf(c_24122,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_4917]) ).
tcf(c_24123,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xa)))),smndt0(sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1038]) ).
tcf(c_24124,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),smndt0(smndt0(sdtpldt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1004]) ).
tcf(c_24125,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1582]) ).
tcf(c_24126,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1264]) ).
tcf(c_24127,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1187]) ).
tcf(c_24128,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),xm) = sdtpldt0(xm,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1186]) ).
tcf(c_24129,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),xq) = sdtpldt0(xq,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1185]) ).
tcf(c_24130,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),xp) = sdtpldt0(xp,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1184]) ).
tcf(c_24131,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),xb) = sdtpldt0(xb,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1183]) ).
tcf(c_24132,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),xa) = sdtpldt0(xa,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1182]) ).
tcf(c_24133,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1120]) ).
tcf(c_24134,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),xm) = sdtasdt0(xm,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1119]) ).
tcf(c_24135,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),xq) = sdtasdt0(xq,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1118]) ).
tcf(c_24136,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),xp) = sdtasdt0(xp,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1117]) ).
tcf(c_24137,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),xb) = sdtasdt0(xb,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1116]) ).
tcf(c_24138,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),xa) = sdtasdt0(xa,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_1115]) ).
tcf(c_24139,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xa)))) = smndt0(sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_951]) ).
tcf(c_24140,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),sz00) = smndt0(sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_937]) ).
tcf(c_24141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_69]) ).
tcf(c_24142,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_923]) ).
tcf(c_24143,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xa)),X0),sdtasdt0(sdtpldt0(xq,smndt0(xa)),X1)) = sdtasdt0(sdtpldt0(xq,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_68]) ).
tcf(c_24144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,smndt0(xa)),X0),X1) = sdtpldt0(sdtpldt0(xq,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_77]) ).
tcf(c_24145,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,smndt0(xa)),X0),X1) = sdtasdt0(sdtpldt0(xq,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_71]) ).
tcf(c_24146,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_909]) ).
tcf(c_24147,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),X0) = sdtpldt0(X0,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_76]) ).
tcf(c_24148,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),X0) = sdtasdt0(X0,sdtpldt0(xq,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_70]) ).
tcf(c_24149,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),sdtpldt0(xq,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_74]) ).
tcf(c_24150,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),smndt0(sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_73]) ).
tcf(c_24151,plain,
( ( sdtpldt0(sz00,sdtpldt0(xq,smndt0(xa))) = sdtpldt0(xq,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_63]) ).
tcf(c_24152,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xa)),sz00) = sdtpldt0(xq,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_62]) ).
tcf(c_24153,plain,
( ( sdtasdt0(sz00,sdtpldt0(xq,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_61]) ).
tcf(c_24154,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_60]) ).
tcf(c_24293,plain,
( aInteger0(sdtpldt0(xq,smndt0(xb)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_23769,c_78]) ).
tcf(c_24294,plain,
( aInteger0(sdtpldt0(xq,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24293,c_53]) ).
tcf(c_24297,plain,
aInteger0(sdtpldt0(xq,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_24294,c_50,c_1168,c_24294]) ).
tcf(c_24299,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_4587]) ).
tcf(c_24300,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_4303]) ).
tcf(c_24301,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_3754]) ).
tcf(c_24302,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_3178]) ).
tcf(c_24303,plain,
sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_3124]) ).
tcf(c_24304,plain,
sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_3080]) ).
tcf(c_24305,plain,
sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_2851]) ).
tcf(c_24306,plain,
sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_2623]) ).
tcf(c_24307,plain,
sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_2294]) ).
tcf(c_24308,plain,
sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_1883]) ).
tcf(c_24309,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xb))))) = smndt0(smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_1835]) ).
tcf(c_24310,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xb)))),sz00) = smndt0(smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_1774]) ).
tcf(c_24311,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_5023]) ).
tcf(c_24312,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24297,c_4917]) ).
tcf(c_24313,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xb)))),smndt0(sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_1038]) ).
tcf(c_24314,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),smndt0(smndt0(sdtpldt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_1004]) ).
tcf(c_24315,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_1582]) ).
tcf(c_24316,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24297,c_1264]) ).
tcf(c_24317,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1187]) ).
tcf(c_24318,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),xm) = sdtpldt0(xm,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1186]) ).
tcf(c_24319,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),xq) = sdtpldt0(xq,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1185]) ).
tcf(c_24320,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),xp) = sdtpldt0(xp,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1184]) ).
tcf(c_24321,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),xb) = sdtpldt0(xb,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1183]) ).
tcf(c_24322,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),xa) = sdtpldt0(xa,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1182]) ).
tcf(c_24323,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1120]) ).
tcf(c_24324,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xb)),xm) = sdtasdt0(xm,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1119]) ).
tcf(c_24325,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xb)),xq) = sdtasdt0(xq,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1118]) ).
tcf(c_24326,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xb)),xp) = sdtasdt0(xp,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1117]) ).
tcf(c_24327,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xb)),xb) = sdtasdt0(xb,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1116]) ).
tcf(c_24328,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xb)),xa) = sdtasdt0(xa,sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_1115]) ).
tcf(c_24329,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xb)))) = smndt0(sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_951]) ).
tcf(c_24330,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),sz00) = smndt0(sdtpldt0(xq,smndt0(xb))),
inference(superposition,[status(thm)],[c_24297,c_937]) ).
tcf(c_24331,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24297,c_69]) ).
tcf(c_24332,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_923]) ).
tcf(c_24333,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xb)),X0),sdtasdt0(sdtpldt0(xq,smndt0(xb)),X1)) = sdtasdt0(sdtpldt0(xq,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24297,c_68]) ).
tcf(c_24334,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,smndt0(xb)),X0),X1) = sdtpldt0(sdtpldt0(xq,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24297,c_77]) ).
tcf(c_24335,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,smndt0(xb)),X0),X1) = sdtasdt0(sdtpldt0(xq,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24297,c_71]) ).
tcf(c_24336,plain,
sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24297,c_909]) ).
tcf(c_24337,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,smndt0(xb)),X0) = sdtpldt0(X0,sdtpldt0(xq,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24297,c_76]) ).
tcf(c_24338,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,smndt0(xb)),X0) = sdtasdt0(X0,sdtpldt0(xq,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24297,c_70]) ).
tcf(c_24339,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),sdtpldt0(xq,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_74]) ).
tcf(c_24340,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),smndt0(sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_73]) ).
tcf(c_24341,plain,
sdtpldt0(sz00,sdtpldt0(xq,smndt0(xb))) = sdtpldt0(xq,smndt0(xb)),
inference(superposition,[status(thm)],[c_24297,c_63]) ).
tcf(c_24342,plain,
sdtpldt0(sdtpldt0(xq,smndt0(xb)),sz00) = sdtpldt0(xq,smndt0(xb)),
inference(superposition,[status(thm)],[c_24297,c_62]) ).
tcf(c_24343,plain,
sdtasdt0(sz00,sdtpldt0(xq,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_61]) ).
tcf(c_24344,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_24297,c_60]) ).
tcf(c_24465,plain,
( aInteger0(sdtpldt0(xq,smndt0(xp)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_23770,c_78]) ).
tcf(c_24466,plain,
( aInteger0(sdtpldt0(xq,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24465,c_53]) ).
tcf(c_24473,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_4587]) ).
tcf(c_24474,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_4303]) ).
tcf(c_24475,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_3754]) ).
tcf(c_24476,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_3178]) ).
tcf(c_24477,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_3124]) ).
tcf(c_24478,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_3080]) ).
tcf(c_24479,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_2851]) ).
tcf(c_24480,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_2623]) ).
tcf(c_24481,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_2294]) ).
tcf(c_24482,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1883]) ).
tcf(c_24483,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xp))))) = smndt0(smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1835]) ).
tcf(c_24484,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xp)))),sz00) = smndt0(smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1774]) ).
tcf(c_24485,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_5023]) ).
tcf(c_24486,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_4917]) ).
tcf(c_24487,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xp)))),smndt0(sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1038]) ).
tcf(c_24488,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),smndt0(smndt0(sdtpldt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1004]) ).
tcf(c_24489,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1582]) ).
tcf(c_24490,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1264]) ).
tcf(c_24491,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1187]) ).
tcf(c_24492,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),xm) = sdtpldt0(xm,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1186]) ).
tcf(c_24493,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),xq) = sdtpldt0(xq,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1185]) ).
tcf(c_24494,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),xp) = sdtpldt0(xp,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1184]) ).
tcf(c_24495,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),xb) = sdtpldt0(xb,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1183]) ).
tcf(c_24496,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),xa) = sdtpldt0(xa,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1182]) ).
tcf(c_24497,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1120]) ).
tcf(c_24498,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),xm) = sdtasdt0(xm,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1119]) ).
tcf(c_24499,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),xq) = sdtasdt0(xq,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1118]) ).
tcf(c_24500,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),xp) = sdtasdt0(xp,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1117]) ).
tcf(c_24501,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),xb) = sdtasdt0(xb,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1116]) ).
tcf(c_24502,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),xa) = sdtasdt0(xa,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_1115]) ).
tcf(c_24503,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xp)))) = smndt0(sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_951]) ).
tcf(c_24504,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),sz00) = smndt0(sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_937]) ).
tcf(c_24505,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_69]) ).
tcf(c_24506,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_923]) ).
tcf(c_24507,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xp)),X0),sdtasdt0(sdtpldt0(xq,smndt0(xp)),X1)) = sdtasdt0(sdtpldt0(xq,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_68]) ).
tcf(c_24508,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,smndt0(xp)),X0),X1) = sdtpldt0(sdtpldt0(xq,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_77]) ).
tcf(c_24509,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,smndt0(xp)),X0),X1) = sdtasdt0(sdtpldt0(xq,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_71]) ).
tcf(c_24510,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_909]) ).
tcf(c_24511,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),X0) = sdtpldt0(X0,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_76]) ).
tcf(c_24512,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),X0) = sdtasdt0(X0,sdtpldt0(xq,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_70]) ).
tcf(c_24513,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),sdtpldt0(xq,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_74]) ).
tcf(c_24514,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),smndt0(sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_73]) ).
tcf(c_24515,plain,
( ( sdtpldt0(sz00,sdtpldt0(xq,smndt0(xp))) = sdtpldt0(xq,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_63]) ).
tcf(c_24516,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xp)),sz00) = sdtpldt0(xq,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_62]) ).
tcf(c_24517,plain,
( ( sdtasdt0(sz00,sdtpldt0(xq,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_61]) ).
tcf(c_24518,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_60]) ).
tcf(c_24657,plain,
( aInteger0(sdtpldt0(xq,smndt0(xm)))
| ~ aInteger0(xq)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_23772,c_78]) ).
tcf(c_24658,plain,
( aInteger0(sdtpldt0(xq,smndt0(xm)))
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24657,c_53]) ).
tcf(c_24665,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_4587]) ).
tcf(c_24666,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_4303]) ).
tcf(c_24667,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_3754]) ).
tcf(c_24668,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_3178]) ).
tcf(c_24669,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_3124]) ).
tcf(c_24670,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_3080]) ).
tcf(c_24671,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_2851]) ).
tcf(c_24672,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_2623]) ).
tcf(c_24673,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_2294]) ).
tcf(c_24674,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1883]) ).
tcf(c_24675,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xm))))) = smndt0(smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1835]) ).
tcf(c_24676,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1774]) ).
tcf(c_24677,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xm)))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_5023]) ).
tcf(c_24678,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xm))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_4917]) ).
tcf(c_24679,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xm)))),smndt0(sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1038]) ).
tcf(c_24680,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),smndt0(smndt0(sdtpldt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1004]) ).
tcf(c_24681,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1582]) ).
tcf(c_24682,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xm)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1264]) ).
tcf(c_24683,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1187]) ).
tcf(c_24684,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1186]) ).
tcf(c_24685,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1185]) ).
tcf(c_24686,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1184]) ).
tcf(c_24687,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1183]) ).
tcf(c_24688,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1182]) ).
tcf(c_24689,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1120]) ).
tcf(c_24690,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1119]) ).
tcf(c_24691,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1118]) ).
tcf(c_24692,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1117]) ).
tcf(c_24693,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1116]) ).
tcf(c_24694,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_1115]) ).
tcf(c_24695,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xm)))) = smndt0(sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_951]) ).
tcf(c_24696,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),sz00) = smndt0(sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_937]) ).
tcf(c_24697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,smndt0(xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_69]) ).
tcf(c_24698,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_923]) ).
tcf(c_24699,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,smndt0(xm)),X0),sdtasdt0(sdtpldt0(xq,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(xq,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_68]) ).
tcf(c_24700,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_77]) ).
tcf(c_24701,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_71]) ).
tcf(c_24702,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xq,smndt0(xm))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_909]) ).
tcf(c_24703,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_76]) ).
tcf(c_24704,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,smndt0(xm))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_70]) ).
tcf(c_24705,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),sdtpldt0(xq,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_74]) ).
tcf(c_24706,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),smndt0(sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_73]) ).
tcf(c_24707,plain,
( ( sdtpldt0(sz00,sdtpldt0(xq,smndt0(xm))) = sdtpldt0(xq,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_63]) ).
tcf(c_24708,plain,
( ( sdtpldt0(sdtpldt0(xq,smndt0(xm)),sz00) = sdtpldt0(xq,smndt0(xm)) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_62]) ).
tcf(c_24709,plain,
( ( sdtasdt0(sz00,sdtpldt0(xq,smndt0(xm))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_61]) ).
tcf(c_24710,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_60]) ).
tcf(c_24922,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xp,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3186,c_78]) ).
tcf(c_24923,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_24922,c_49,c_2315]) ).
tcf(c_24924,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_4587]) ).
tcf(c_24925,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_4303]) ).
tcf(c_24926,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_3754]) ).
tcf(c_24927,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_3178]) ).
tcf(c_24928,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_3124]) ).
tcf(c_24929,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_3080]) ).
tcf(c_24930,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_2851]) ).
tcf(c_24931,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_2623]) ).
tcf(c_24932,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_2294]) ).
tcf(c_24933,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_1883]) ).
tcf(c_24934,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_1835]) ).
tcf(c_24935,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_1774]) ).
tcf(c_24936,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_5023]) ).
tcf(c_24937,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24923,c_4917]) ).
tcf(c_24938,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_1038]) ).
tcf(c_24939,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_1004]) ).
tcf(c_24940,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_1582]) ).
tcf(c_24941,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24923,c_1264]) ).
tcf(c_24942,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1187]) ).
tcf(c_24943,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1186]) ).
tcf(c_24944,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1185]) ).
tcf(c_24945,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1184]) ).
tcf(c_24946,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1183]) ).
tcf(c_24947,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1182]) ).
tcf(c_24948,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1120]) ).
tcf(c_24949,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1119]) ).
tcf(c_24950,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1118]) ).
tcf(c_24951,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1117]) ).
tcf(c_24952,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1116]) ).
tcf(c_24953,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_1115]) ).
tcf(c_24954,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_951]) ).
tcf(c_24955,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_24923,c_937]) ).
tcf(c_24956,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24923,c_69]) ).
tcf(c_24957,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_923]) ).
tcf(c_24958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24923,c_68]) ).
tcf(c_24959,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24923,c_77]) ).
tcf(c_24960,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24923,c_71]) ).
tcf(c_24961,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24923,c_909]) ).
tcf(c_24962,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24923,c_76]) ).
tcf(c_24963,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24923,c_70]) ).
tcf(c_24964,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),sdtpldt0(xa,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_74]) ).
tcf(c_24965,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_73]) ).
tcf(c_24966,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xb))) = sdtpldt0(xa,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_24923,c_63]) ).
tcf(c_24967,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xb)),sz00) = sdtpldt0(xa,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_24923,c_62]) ).
tcf(c_24968,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_61]) ).
tcf(c_24969,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_24923,c_60]) ).
tcf(c_25249,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xq,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3187,c_78]) ).
tcf(c_25250,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_25249,c_49,c_2420]) ).
tcf(c_25251,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_4587]) ).
tcf(c_25252,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_4303]) ).
tcf(c_25253,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_3754]) ).
tcf(c_25254,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_3178]) ).
tcf(c_25255,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_3124]) ).
tcf(c_25256,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_3080]) ).
tcf(c_25257,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_2851]) ).
tcf(c_25258,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_2623]) ).
tcf(c_25259,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_2294]) ).
tcf(c_25260,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_1883]) ).
tcf(c_25261,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_1835]) ).
tcf(c_25262,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_1774]) ).
tcf(c_25263,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_5023]) ).
tcf(c_25264,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25250,c_4917]) ).
tcf(c_25265,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_1038]) ).
tcf(c_25266,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_1004]) ).
tcf(c_25267,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_1582]) ).
tcf(c_25268,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25250,c_1264]) ).
tcf(c_25269,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1187]) ).
tcf(c_25270,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1186]) ).
tcf(c_25271,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1185]) ).
tcf(c_25272,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1184]) ).
tcf(c_25273,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1183]) ).
tcf(c_25274,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1182]) ).
tcf(c_25275,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1120]) ).
tcf(c_25276,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1119]) ).
tcf(c_25277,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1118]) ).
tcf(c_25278,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1117]) ).
tcf(c_25279,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1116]) ).
tcf(c_25280,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_1115]) ).
tcf(c_25281,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))) = smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_951]) ).
tcf(c_25282,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_25250,c_937]) ).
tcf(c_25283,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25250,c_69]) ).
tcf(c_25284,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_923]) ).
tcf(c_25285,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25250,c_68]) ).
tcf(c_25286,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25250,c_77]) ).
tcf(c_25287,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25250,c_71]) ).
tcf(c_25288,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25250,c_909]) ).
tcf(c_25289,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25250,c_76]) ).
tcf(c_25290,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25250,c_70]) ).
tcf(c_25291,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),sdtpldt0(xa,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_74]) ).
tcf(c_25292,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_73]) ).
tcf(c_25293,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xb))) = sdtpldt0(xa,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_25250,c_63]) ).
tcf(c_25294,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xb)),sz00) = sdtpldt0(xa,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_25250,c_62]) ).
tcf(c_25295,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_61]) ).
tcf(c_25296,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_25250,c_60]) ).
tcf(c_25321,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xb,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_3188,c_78]) ).
tcf(c_25322,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_25321,c_49,c_2484]) ).
tcf(c_25323,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_4587]) ).
tcf(c_25324,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_4303]) ).
tcf(c_25325,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_3754]) ).
tcf(c_25326,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_3178]) ).
tcf(c_25327,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_3124]) ).
tcf(c_25328,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_3080]) ).
tcf(c_25329,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_2851]) ).
tcf(c_25330,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_2623]) ).
tcf(c_25331,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_2294]) ).
tcf(c_25332,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_1883]) ).
tcf(c_25333,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_1835]) ).
tcf(c_25334,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_1774]) ).
tcf(c_25335,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_5023]) ).
tcf(c_25336,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25322,c_4917]) ).
tcf(c_25337,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_1038]) ).
tcf(c_25338,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_1004]) ).
tcf(c_25339,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_1582]) ).
tcf(c_25340,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25322,c_1264]) ).
tcf(c_25341,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1187]) ).
tcf(c_25342,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1186]) ).
tcf(c_25343,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1185]) ).
tcf(c_25344,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1184]) ).
tcf(c_25345,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1183]) ).
tcf(c_25346,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1182]) ).
tcf(c_25347,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1120]) ).
tcf(c_25348,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1119]) ).
tcf(c_25349,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1118]) ).
tcf(c_25350,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1117]) ).
tcf(c_25351,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1116]) ).
tcf(c_25352,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_1115]) ).
tcf(c_25353,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))) = smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_951]) ).
tcf(c_25354,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_25322,c_937]) ).
tcf(c_25355,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25322,c_69]) ).
tcf(c_25356,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_923]) ).
tcf(c_25357,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25322,c_68]) ).
tcf(c_25358,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25322,c_77]) ).
tcf(c_25359,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25322,c_71]) ).
tcf(c_25360,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25322,c_909]) ).
tcf(c_25361,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25322,c_76]) ).
tcf(c_25362,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25322,c_70]) ).
tcf(c_25363,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),sdtpldt0(xa,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_74]) ).
tcf(c_25364,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_73]) ).
tcf(c_25365,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xb,xm))) = sdtpldt0(xa,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_25322,c_63]) ).
tcf(c_25366,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xb,xm)),sz00) = sdtpldt0(xa,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_25322,c_62]) ).
tcf(c_25367,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_61]) ).
tcf(c_25368,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_25322,c_60]) ).
tcf(c_25402,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xp,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_3189,c_78]) ).
tcf(c_25403,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_25402,c_49,c_2753]) ).
tcf(c_25404,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_4587]) ).
tcf(c_25405,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_4303]) ).
tcf(c_25406,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_3754]) ).
tcf(c_25407,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_3178]) ).
tcf(c_25408,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_3124]) ).
tcf(c_25409,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_3080]) ).
tcf(c_25410,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_2851]) ).
tcf(c_25411,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_2623]) ).
tcf(c_25412,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_2294]) ).
tcf(c_25413,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_1883]) ).
tcf(c_25414,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_1835]) ).
tcf(c_25415,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_1774]) ).
tcf(c_25416,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_5023]) ).
tcf(c_25417,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25403,c_4917]) ).
tcf(c_25418,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_1038]) ).
tcf(c_25419,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_1004]) ).
tcf(c_25420,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_1582]) ).
tcf(c_25421,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25403,c_1264]) ).
tcf(c_25422,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1187]) ).
tcf(c_25423,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1186]) ).
tcf(c_25424,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1185]) ).
tcf(c_25425,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1184]) ).
tcf(c_25426,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1183]) ).
tcf(c_25427,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1182]) ).
tcf(c_25428,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1120]) ).
tcf(c_25429,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1119]) ).
tcf(c_25430,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1118]) ).
tcf(c_25431,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1117]) ).
tcf(c_25432,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1116]) ).
tcf(c_25433,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_1115]) ).
tcf(c_25434,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_951]) ).
tcf(c_25435,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_25403,c_937]) ).
tcf(c_25436,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25403,c_69]) ).
tcf(c_25437,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_923]) ).
tcf(c_25438,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25403,c_68]) ).
tcf(c_25439,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25403,c_77]) ).
tcf(c_25440,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25403,c_71]) ).
tcf(c_25441,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25403,c_909]) ).
tcf(c_25442,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25403,c_76]) ).
tcf(c_25443,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25403,c_70]) ).
tcf(c_25444,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),sdtpldt0(xa,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_74]) ).
tcf(c_25445,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_73]) ).
tcf(c_25446,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xm))) = sdtpldt0(xa,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_25403,c_63]) ).
tcf(c_25447,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xm)),sz00) = sdtpldt0(xa,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_25403,c_62]) ).
tcf(c_25448,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_61]) ).
tcf(c_25449,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_25403,c_60]) ).
tcf(c_25478,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xq,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_3190,c_78]) ).
tcf(c_25479,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_25478,c_49,c_2918]) ).
tcf(c_25480,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_4587]) ).
tcf(c_25481,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_4303]) ).
tcf(c_25482,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_3754]) ).
tcf(c_25483,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_3178]) ).
tcf(c_25484,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_3124]) ).
tcf(c_25485,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_3080]) ).
tcf(c_25486,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_2851]) ).
tcf(c_25487,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_2623]) ).
tcf(c_25488,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_2294]) ).
tcf(c_25489,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_1883]) ).
tcf(c_25490,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_1835]) ).
tcf(c_25491,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_1774]) ).
tcf(c_25492,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_5023]) ).
tcf(c_25493,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25479,c_4917]) ).
tcf(c_25494,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_1038]) ).
tcf(c_25495,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_1004]) ).
tcf(c_25496,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_1582]) ).
tcf(c_25497,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25479,c_1264]) ).
tcf(c_25498,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1187]) ).
tcf(c_25499,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1186]) ).
tcf(c_25500,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1185]) ).
tcf(c_25501,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1184]) ).
tcf(c_25502,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1183]) ).
tcf(c_25503,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1182]) ).
tcf(c_25504,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1120]) ).
tcf(c_25505,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1119]) ).
tcf(c_25506,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1118]) ).
tcf(c_25507,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1117]) ).
tcf(c_25508,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1116]) ).
tcf(c_25509,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_1115]) ).
tcf(c_25510,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))) = smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_951]) ).
tcf(c_25511,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_25479,c_937]) ).
tcf(c_25512,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25479,c_69]) ).
tcf(c_25513,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_923]) ).
tcf(c_25514,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25479,c_68]) ).
tcf(c_25515,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25479,c_77]) ).
tcf(c_25516,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25479,c_71]) ).
tcf(c_25517,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25479,c_909]) ).
tcf(c_25518,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25479,c_76]) ).
tcf(c_25519,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25479,c_70]) ).
tcf(c_25520,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),sdtpldt0(xa,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_74]) ).
tcf(c_25521,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_73]) ).
tcf(c_25522,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xm))) = sdtpldt0(xa,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_25479,c_63]) ).
tcf(c_25523,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xm)),sz00) = sdtpldt0(xa,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_25479,c_62]) ).
tcf(c_25524,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_61]) ).
tcf(c_25525,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_25479,c_60]) ).
tcf(c_25631,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xa,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3220,c_78]) ).
tcf(c_25632,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_25631,c_49,c_3219]) ).
tcf(c_25633,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_4587]) ).
tcf(c_25634,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_4303]) ).
tcf(c_25635,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_3754]) ).
tcf(c_25636,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_3178]) ).
tcf(c_25637,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_3124]) ).
tcf(c_25638,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_3080]) ).
tcf(c_25639,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_2851]) ).
tcf(c_25640,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_2623]) ).
tcf(c_25641,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_2294]) ).
tcf(c_25642,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_1883]) ).
tcf(c_25643,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_1835]) ).
tcf(c_25644,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_1774]) ).
tcf(c_25645,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_5023]) ).
tcf(c_25646,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25632,c_4917]) ).
tcf(c_25647,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_1038]) ).
tcf(c_25648,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_1004]) ).
tcf(c_25649,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_1582]) ).
tcf(c_25650,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25632,c_1264]) ).
tcf(c_25651,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1187]) ).
tcf(c_25652,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1186]) ).
tcf(c_25653,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1185]) ).
tcf(c_25654,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1184]) ).
tcf(c_25655,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1183]) ).
tcf(c_25656,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1182]) ).
tcf(c_25657,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1120]) ).
tcf(c_25658,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1119]) ).
tcf(c_25659,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1118]) ).
tcf(c_25660,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1117]) ).
tcf(c_25661,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1116]) ).
tcf(c_25662,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_1115]) ).
tcf(c_25663,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))) = smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_951]) ).
tcf(c_25664,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25632,c_937]) ).
tcf(c_25665,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25632,c_69]) ).
tcf(c_25666,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_923]) ).
tcf(c_25667,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25632,c_68]) ).
tcf(c_25668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25632,c_77]) ).
tcf(c_25669,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25632,c_71]) ).
tcf(c_25670,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25632,c_909]) ).
tcf(c_25671,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25632,c_76]) ).
tcf(c_25672,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25632,c_70]) ).
tcf(c_25673,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),sdtpldt0(xa,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_74]) ).
tcf(c_25674,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_73]) ).
tcf(c_25675,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xb))) = sdtpldt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_25632,c_63]) ).
tcf(c_25676,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xb)),sz00) = sdtpldt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_25632,c_62]) ).
tcf(c_25677,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_61]) ).
tcf(c_25678,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_25632,c_60]) ).
tcf(c_25716,plain,
( ( sz00 = xm )
| ( sdtpldt0(xa,xb) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,xb))
| ( sdtasdt0(xm,sdtpldt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3222,c_59]) ).
tcf(c_25717,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xa,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3222,c_72]) ).
tcf(c_25718,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_25717,c_56,c_3219]) ).
tcf(c_25719,plain,
( ( sz00 = xm )
| ( sdtpldt0(xa,xb) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25716,c_56,c_3219]) ).
tcf(c_25723,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_4587]) ).
tcf(c_25724,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_4303]) ).
tcf(c_25725,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_3754]) ).
tcf(c_25726,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_3178]) ).
tcf(c_25727,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_3124]) ).
tcf(c_25728,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_3080]) ).
tcf(c_25729,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_2851]) ).
tcf(c_25730,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_2623]) ).
tcf(c_25731,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_2294]) ).
tcf(c_25732,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_1883]) ).
tcf(c_25733,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_1835]) ).
tcf(c_25734,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_1774]) ).
tcf(c_25735,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_5023]) ).
tcf(c_25736,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25718,c_4917]) ).
tcf(c_25737,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_1038]) ).
tcf(c_25738,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_1004]) ).
tcf(c_25739,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_1582]) ).
tcf(c_25740,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25718,c_1264]) ).
tcf(c_25741,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1187]) ).
tcf(c_25742,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1186]) ).
tcf(c_25743,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1185]) ).
tcf(c_25744,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1184]) ).
tcf(c_25745,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1183]) ).
tcf(c_25746,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1182]) ).
tcf(c_25747,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1120]) ).
tcf(c_25748,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1119]) ).
tcf(c_25749,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1118]) ).
tcf(c_25750,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1117]) ).
tcf(c_25751,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1116]) ).
tcf(c_25752,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_1115]) ).
tcf(c_25753,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))) = smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_951]) ).
tcf(c_25754,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_25718,c_937]) ).
tcf(c_25755,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25718,c_69]) ).
tcf(c_25756,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_923]) ).
tcf(c_25757,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25718,c_68]) ).
tcf(c_25758,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25718,c_77]) ).
tcf(c_25759,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25718,c_71]) ).
tcf(c_25760,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25718,c_909]) ).
tcf(c_25761,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25718,c_76]) ).
tcf(c_25762,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25718,c_70]) ).
tcf(c_25763,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),sdtasdt0(xm,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_74]) ).
tcf(c_25764,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_73]) ).
tcf(c_25765,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xb))) = sdtasdt0(xm,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_25718,c_63]) ).
tcf(c_25766,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xb)),sz00) = sdtasdt0(xm,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_25718,c_62]) ).
tcf(c_25767,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_61]) ).
tcf(c_25768,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_25718,c_60]) ).
tcf(c_26035,plain,
( ( sz00 = xq )
| ( sdtpldt0(xa,xb) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,xb))
| ( sdtasdt0(xq,sdtpldt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3223,c_59]) ).
tcf(c_26036,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xa,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3223,c_72]) ).
tcf(c_26037,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_26036,c_53,c_3219]) ).
tcf(c_26038,plain,
( ( sdtpldt0(xa,xb) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26035,c_54,c_53,c_3219]) ).
tcf(c_26041,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_4587]) ).
tcf(c_26042,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_4303]) ).
tcf(c_26043,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_3754]) ).
tcf(c_26044,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_3178]) ).
tcf(c_26045,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_3124]) ).
tcf(c_26046,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_3080]) ).
tcf(c_26047,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_2851]) ).
tcf(c_26048,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_2623]) ).
tcf(c_26049,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_2294]) ).
tcf(c_26050,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_1883]) ).
tcf(c_26051,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_1835]) ).
tcf(c_26052,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_1774]) ).
tcf(c_26053,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_5023]) ).
tcf(c_26054,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26037,c_4917]) ).
tcf(c_26055,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_1038]) ).
tcf(c_26056,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_1004]) ).
tcf(c_26057,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_1582]) ).
tcf(c_26058,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26037,c_1264]) ).
tcf(c_26059,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1187]) ).
tcf(c_26060,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1186]) ).
tcf(c_26061,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1185]) ).
tcf(c_26062,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1184]) ).
tcf(c_26063,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1183]) ).
tcf(c_26064,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1182]) ).
tcf(c_26065,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1120]) ).
tcf(c_26066,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1119]) ).
tcf(c_26067,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1118]) ).
tcf(c_26068,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1117]) ).
tcf(c_26069,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1116]) ).
tcf(c_26070,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_1115]) ).
tcf(c_26071,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))) = smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_951]) ).
tcf(c_26072,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_26037,c_937]) ).
tcf(c_26073,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26037,c_69]) ).
tcf(c_26074,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_923]) ).
tcf(c_26075,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26037,c_68]) ).
tcf(c_26076,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26037,c_77]) ).
tcf(c_26077,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26037,c_71]) ).
tcf(c_26078,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26037,c_909]) ).
tcf(c_26079,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26037,c_76]) ).
tcf(c_26080,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26037,c_70]) ).
tcf(c_26081,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),sdtasdt0(xq,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_74]) ).
tcf(c_26082,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_73]) ).
tcf(c_26083,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xb))) = sdtasdt0(xq,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_26037,c_63]) ).
tcf(c_26084,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xb)),sz00) = sdtasdt0(xq,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_26037,c_62]) ).
tcf(c_26085,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_61]) ).
tcf(c_26086,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_26037,c_60]) ).
tcf(c_26115,plain,
sdtpldt0(smndt0(xa),xm) = sdtpldt0(xm,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_4744]) ).
tcf(c_26116,plain,
sdtpldt0(smndt0(xb),xm) = sdtpldt0(xm,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_4744]) ).
tcf(c_26117,plain,
sdtpldt0(smndt0(xp),xm) = sdtpldt0(xm,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_4744]) ).
tcf(c_26118,plain,
sdtpldt0(smndt0(xq),xm) = sdtpldt0(xm,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_4744]) ).
tcf(c_26119,plain,
sdtpldt0(smndt0(xm),xm) = sdtpldt0(xm,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_4744]) ).
tcf(c_26120,plain,
sdtpldt0(smndt0(sz00),xm) = sdtpldt0(xm,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_4744]) ).
tcf(c_26121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_4744]) ).
tcf(c_26122,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),xm) = sdtpldt0(xm,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_4744]) ).
tcf(c_26123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_4744]) ).
tcf(c_26124,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_4744]) ).
tcf(c_26125,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_4744]) ).
tcf(c_26126,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_4744]) ).
tcf(c_26127,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_4744]) ).
tcf(c_26128,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_4744]) ).
tcf(c_26129,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_4744]) ).
tcf(c_26130,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_4744]) ).
tcf(c_26131,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_4744]) ).
tcf(c_26132,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_4744]) ).
tcf(c_26133,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_4744]) ).
tcf(c_26134,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_4744]) ).
tcf(c_26135,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_4744]) ).
tcf(c_26136,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_4744]) ).
tcf(c_26137,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_4744]) ).
tcf(c_26138,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_4744]) ).
tcf(c_26139,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_4744]) ).
tcf(c_26140,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_4744]) ).
tcf(c_26141,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_4744]) ).
tcf(c_26142,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_4744]) ).
tcf(c_26143,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_4744]) ).
tcf(c_26144,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_4744]) ).
tcf(c_26145,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_4744]) ).
tcf(c_26146,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_4744]) ).
tcf(c_26147,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_4744]) ).
tcf(c_26148,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_4744]) ).
tcf(c_26149,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_4744]) ).
tcf(c_26150,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_4744]) ).
tcf(c_26151,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_4744]) ).
tcf(c_26152,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_4744]) ).
tcf(c_26153,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_4744]) ).
tcf(c_26154,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_4744]) ).
tcf(c_26155,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_4744]) ).
tcf(c_26156,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_4744]) ).
tcf(c_26157,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_4744]) ).
tcf(c_26158,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_4744]) ).
tcf(c_26159,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_4744]) ).
tcf(c_26160,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_4744]) ).
tcf(c_26161,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_4744]) ).
tcf(c_26162,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_4744]) ).
tcf(c_26163,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_4744]) ).
tcf(c_26164,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_4744]) ).
tcf(c_26165,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_4744]) ).
tcf(c_26166,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_4744]) ).
tcf(c_26167,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_4744]) ).
tcf(c_26168,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_4744]) ).
tcf(c_26169,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_4744]) ).
tcf(c_26170,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_4744]) ).
tcf(c_26171,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_4744]) ).
tcf(c_26172,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_4744]) ).
tcf(c_26173,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_4744]) ).
tcf(c_26174,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_4744]) ).
tcf(c_26175,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_4744]) ).
tcf(c_26176,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_4744]) ).
tcf(c_26177,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_4744]) ).
tcf(c_26178,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_4744]) ).
tcf(c_26179,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_4744]) ).
tcf(c_26180,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_4744]) ).
tcf(c_26181,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_4744]) ).
tcf(c_26182,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_4744]) ).
tcf(c_26183,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_4744]) ).
tcf(c_26184,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_4744]) ).
tcf(c_26185,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_4744]) ).
tcf(c_26186,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_4744]) ).
tcf(c_26187,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_4744]) ).
tcf(c_26188,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_4744]) ).
tcf(c_26189,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_4744]) ).
tcf(c_26190,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_4744]) ).
tcf(c_26191,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_4744]) ).
tcf(c_26192,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_4744]) ).
tcf(c_26193,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_4744]) ).
tcf(c_26194,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_4744]) ).
tcf(c_26195,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_4744]) ).
tcf(c_26196,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_4744]) ).
tcf(c_26197,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_4744]) ).
tcf(c_26198,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_4744]) ).
tcf(c_26199,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_4744]) ).
tcf(c_26200,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_4744]) ).
tcf(c_26201,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_4744]) ).
tcf(c_26202,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_4744]) ).
tcf(c_26203,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_4744]) ).
tcf(c_26204,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_4744]) ).
tcf(c_26205,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_4744]) ).
tcf(c_26206,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_4744]) ).
tcf(c_26207,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_4744]) ).
tcf(c_26208,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_4744]) ).
tcf(c_26209,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_4744]) ).
tcf(c_26210,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_4744]) ).
tcf(c_26211,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_4744]) ).
tcf(c_26212,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_4744]) ).
tcf(c_26213,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_4744]) ).
tcf(c_26214,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_4744]) ).
tcf(c_26215,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_4744]) ).
tcf(c_26216,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_4744]) ).
tcf(c_26217,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_4744]) ).
tcf(c_26218,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_4744]) ).
tcf(c_26219,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_4744]) ).
tcf(c_26220,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_4744]) ).
tcf(c_26221,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_4744]) ).
tcf(c_26222,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_4744]) ).
tcf(c_26223,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_4744]) ).
tcf(c_26224,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_4744]) ).
tcf(c_26225,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_4744]) ).
tcf(c_26226,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_4744]) ).
tcf(c_26227,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_4744]) ).
tcf(c_26228,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_4744]) ).
tcf(c_26229,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_4744]) ).
tcf(c_26230,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_4744]) ).
tcf(c_26231,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_4744]) ).
tcf(c_26232,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_4744]) ).
tcf(c_26233,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_4744]) ).
tcf(c_26234,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_4744]) ).
tcf(c_26235,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_4744]) ).
tcf(c_26236,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_4744]) ).
tcf(c_26237,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_4744]) ).
tcf(c_26238,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_4744]) ).
tcf(c_26239,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_4744]) ).
tcf(c_26240,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_4744]) ).
tcf(c_26241,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_4744]) ).
tcf(c_26242,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_4744]) ).
tcf(c_26243,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_4744]) ).
tcf(c_26244,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_4744]) ).
tcf(c_26245,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_4744]) ).
tcf(c_26246,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_4744]) ).
tcf(c_26247,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_4744]) ).
tcf(c_26248,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_4744]) ).
tcf(c_26249,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_4744]) ).
tcf(c_26250,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_4744]) ).
tcf(c_26251,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_4744]) ).
tcf(c_26252,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_4744]) ).
tcf(c_26502,plain,
( aInteger0(sdtpldt0(xm,smndt0(xa)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26115,c_78]) ).
tcf(c_26503,plain,
( aInteger0(sdtpldt0(xm,smndt0(xa)))
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26502,c_56]) ).
tcf(c_26510,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_4744]) ).
tcf(c_26511,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_4587]) ).
tcf(c_26512,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_4303]) ).
tcf(c_26513,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_3754]) ).
tcf(c_26514,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_3178]) ).
tcf(c_26515,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_3124]) ).
tcf(c_26516,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_3080]) ).
tcf(c_26517,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_2851]) ).
tcf(c_26518,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_2623]) ).
tcf(c_26519,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_2294]) ).
tcf(c_26520,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1883]) ).
tcf(c_26521,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xa))))) = smndt0(smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1835]) ).
tcf(c_26522,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xa)))),sz00) = smndt0(smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1774]) ).
tcf(c_26523,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xa)))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_5023]) ).
tcf(c_26524,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xa))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_4917]) ).
tcf(c_26525,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xa)))),smndt0(sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1038]) ).
tcf(c_26526,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),smndt0(smndt0(sdtpldt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1004]) ).
tcf(c_26527,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1582]) ).
tcf(c_26528,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xa)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1264]) ).
tcf(c_26529,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1187]) ).
tcf(c_26530,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1186]) ).
tcf(c_26531,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),xq) = sdtpldt0(xq,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1185]) ).
tcf(c_26532,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),xp) = sdtpldt0(xp,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1184]) ).
tcf(c_26533,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),xb) = sdtpldt0(xb,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1183]) ).
tcf(c_26534,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),xa) = sdtpldt0(xa,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1182]) ).
tcf(c_26535,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1120]) ).
tcf(c_26536,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),xm) = sdtasdt0(xm,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1119]) ).
tcf(c_26537,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),xq) = sdtasdt0(xq,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1118]) ).
tcf(c_26538,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),xp) = sdtasdt0(xp,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1117]) ).
tcf(c_26539,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),xb) = sdtasdt0(xb,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1116]) ).
tcf(c_26540,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),xa) = sdtasdt0(xa,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_1115]) ).
tcf(c_26541,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xa)))) = smndt0(sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_951]) ).
tcf(c_26542,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),sz00) = smndt0(sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_937]) ).
tcf(c_26543,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,smndt0(xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_69]) ).
tcf(c_26544,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_923]) ).
tcf(c_26545,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xa)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xa)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_68]) ).
tcf(c_26546,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xa)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_77]) ).
tcf(c_26547,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xa)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_71]) ).
tcf(c_26548,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xa))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_909]) ).
tcf(c_26549,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_76]) ).
tcf(c_26550,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xa))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_70]) ).
tcf(c_26551,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),sdtpldt0(xm,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_74]) ).
tcf(c_26552,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),smndt0(sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_73]) ).
tcf(c_26553,plain,
( ( sdtpldt0(sz00,sdtpldt0(xm,smndt0(xa))) = sdtpldt0(xm,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_63]) ).
tcf(c_26554,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xa)),sz00) = sdtpldt0(xm,smndt0(xa)) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_62]) ).
tcf(c_26555,plain,
( ( sdtasdt0(sz00,sdtpldt0(xm,smndt0(xa))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_61]) ).
tcf(c_26556,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_60]) ).
tcf(c_26721,plain,
( aInteger0(sdtpldt0(xm,smndt0(xb)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_26116,c_78]) ).
tcf(c_26722,plain,
( aInteger0(sdtpldt0(xm,smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26721,c_56]) ).
tcf(c_26725,plain,
aInteger0(sdtpldt0(xm,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_26722,c_50,c_1168,c_26722]) ).
tcf(c_26727,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_4744]) ).
tcf(c_26728,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_4587]) ).
tcf(c_26729,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_4303]) ).
tcf(c_26730,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_3754]) ).
tcf(c_26731,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_3178]) ).
tcf(c_26732,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_3124]) ).
tcf(c_26733,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_3080]) ).
tcf(c_26734,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_2851]) ).
tcf(c_26735,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_2623]) ).
tcf(c_26736,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_2294]) ).
tcf(c_26737,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_1883]) ).
tcf(c_26738,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xb))))) = smndt0(smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_1835]) ).
tcf(c_26739,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xb)))),sz00) = smndt0(smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_1774]) ).
tcf(c_26740,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_5023]) ).
tcf(c_26741,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26725,c_4917]) ).
tcf(c_26742,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xb)))),smndt0(sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_1038]) ).
tcf(c_26743,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),smndt0(smndt0(sdtpldt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_1004]) ).
tcf(c_26744,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_1582]) ).
tcf(c_26745,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26725,c_1264]) ).
tcf(c_26746,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1187]) ).
tcf(c_26747,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1186]) ).
tcf(c_26748,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),xq) = sdtpldt0(xq,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1185]) ).
tcf(c_26749,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),xp) = sdtpldt0(xp,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1184]) ).
tcf(c_26750,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),xb) = sdtpldt0(xb,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1183]) ).
tcf(c_26751,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),xa) = sdtpldt0(xa,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1182]) ).
tcf(c_26752,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1120]) ).
tcf(c_26753,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xb)),xm) = sdtasdt0(xm,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1119]) ).
tcf(c_26754,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xb)),xq) = sdtasdt0(xq,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1118]) ).
tcf(c_26755,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xb)),xp) = sdtasdt0(xp,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1117]) ).
tcf(c_26756,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xb)),xb) = sdtasdt0(xb,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1116]) ).
tcf(c_26757,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xb)),xa) = sdtasdt0(xa,sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_1115]) ).
tcf(c_26758,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xb)))) = smndt0(sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_951]) ).
tcf(c_26759,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),sz00) = smndt0(sdtpldt0(xm,smndt0(xb))),
inference(superposition,[status(thm)],[c_26725,c_937]) ).
tcf(c_26760,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26725,c_69]) ).
tcf(c_26761,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_923]) ).
tcf(c_26762,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xb)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xb)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26725,c_68]) ).
tcf(c_26763,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xb)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26725,c_77]) ).
tcf(c_26764,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xb)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26725,c_71]) ).
tcf(c_26765,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26725,c_909]) ).
tcf(c_26766,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xb)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26725,c_76]) ).
tcf(c_26767,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xb)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26725,c_70]) ).
tcf(c_26768,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),sdtpldt0(xm,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_74]) ).
tcf(c_26769,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),smndt0(sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_73]) ).
tcf(c_26770,plain,
sdtpldt0(sz00,sdtpldt0(xm,smndt0(xb))) = sdtpldt0(xm,smndt0(xb)),
inference(superposition,[status(thm)],[c_26725,c_63]) ).
tcf(c_26771,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xb)),sz00) = sdtpldt0(xm,smndt0(xb)),
inference(superposition,[status(thm)],[c_26725,c_62]) ).
tcf(c_26772,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_61]) ).
tcf(c_26773,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_26725,c_60]) ).
tcf(c_26798,plain,
( aInteger0(sdtpldt0(xm,smndt0(xp)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26117,c_78]) ).
tcf(c_26799,plain,
( aInteger0(sdtpldt0(xm,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26798,c_56]) ).
tcf(c_26806,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_4744]) ).
tcf(c_26807,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_4587]) ).
tcf(c_26808,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_4303]) ).
tcf(c_26809,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_3754]) ).
tcf(c_26810,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_3178]) ).
tcf(c_26811,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xp))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_3124]) ).
tcf(c_26812,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xp))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_3080]) ).
tcf(c_26813,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xp))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_2851]) ).
tcf(c_26814,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xp))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_2623]) ).
tcf(c_26815,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xp))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_2294]) ).
tcf(c_26816,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xp))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1883]) ).
tcf(c_26817,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xp))))) = smndt0(smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1835]) ).
tcf(c_26818,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xp)))),sz00) = smndt0(smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1774]) ).
tcf(c_26819,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xp)))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_5023]) ).
tcf(c_26820,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xp))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_4917]) ).
tcf(c_26821,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xp)))),smndt0(sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1038]) ).
tcf(c_26822,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),smndt0(smndt0(sdtpldt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1004]) ).
tcf(c_26823,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1582]) ).
tcf(c_26824,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xp)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1264]) ).
tcf(c_26825,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1187]) ).
tcf(c_26826,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1186]) ).
tcf(c_26827,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),xq) = sdtpldt0(xq,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1185]) ).
tcf(c_26828,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),xp) = sdtpldt0(xp,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1184]) ).
tcf(c_26829,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),xb) = sdtpldt0(xb,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1183]) ).
tcf(c_26830,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),xa) = sdtpldt0(xa,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1182]) ).
tcf(c_26831,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1120]) ).
tcf(c_26832,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),xm) = sdtasdt0(xm,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1119]) ).
tcf(c_26833,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),xq) = sdtasdt0(xq,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1118]) ).
tcf(c_26834,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),xp) = sdtasdt0(xp,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1117]) ).
tcf(c_26835,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),xb) = sdtasdt0(xb,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1116]) ).
tcf(c_26836,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),xa) = sdtasdt0(xa,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_1115]) ).
tcf(c_26837,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xp)))) = smndt0(sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_951]) ).
tcf(c_26838,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),sz00) = smndt0(sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_937]) ).
tcf(c_26839,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,smndt0(xp)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_69]) ).
tcf(c_26840,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_923]) ).
tcf(c_26841,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xp)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xp)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_68]) ).
tcf(c_26842,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xp)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xp)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_77]) ).
tcf(c_26843,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xp)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xp)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_71]) ).
tcf(c_26844,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xp))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_909]) ).
tcf(c_26845,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_76]) ).
tcf(c_26846,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xp))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_70]) ).
tcf(c_26847,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),sdtpldt0(xm,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_74]) ).
tcf(c_26848,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),smndt0(sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_73]) ).
tcf(c_26849,plain,
( ( sdtpldt0(sz00,sdtpldt0(xm,smndt0(xp))) = sdtpldt0(xm,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_63]) ).
tcf(c_26850,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xp)),sz00) = sdtpldt0(xm,smndt0(xp)) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_62]) ).
tcf(c_26851,plain,
( ( sdtasdt0(sz00,sdtpldt0(xm,smndt0(xp))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_61]) ).
tcf(c_26852,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_60]) ).
tcf(c_27151,plain,
( aInteger0(sdtpldt0(xm,smndt0(xq)))
| ~ aInteger0(xm)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_26118,c_78]) ).
tcf(c_27152,plain,
( aInteger0(sdtpldt0(xm,smndt0(xq)))
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27151,c_56]) ).
tcf(c_27159,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_4744]) ).
tcf(c_27160,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_4587]) ).
tcf(c_27161,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_4303]) ).
tcf(c_27162,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_3754]) ).
tcf(c_27163,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_3178]) ).
tcf(c_27164,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_3124]) ).
tcf(c_27165,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_3080]) ).
tcf(c_27166,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_2851]) ).
tcf(c_27167,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_2623]) ).
tcf(c_27168,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_2294]) ).
tcf(c_27169,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1883]) ).
tcf(c_27170,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xq))))) = smndt0(smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1835]) ).
tcf(c_27171,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xq)))),sz00) = smndt0(smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1774]) ).
tcf(c_27172,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xq)))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_5023]) ).
tcf(c_27173,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xq))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_4917]) ).
tcf(c_27174,plain,
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xq)))),smndt0(sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1038]) ).
tcf(c_27175,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),smndt0(smndt0(sdtpldt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1004]) ).
tcf(c_27176,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1582]) ).
tcf(c_27177,plain,
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xq)))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1264]) ).
tcf(c_27178,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1187]) ).
tcf(c_27179,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1186]) ).
tcf(c_27180,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1185]) ).
tcf(c_27181,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1184]) ).
tcf(c_27182,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),xb) = sdtpldt0(xb,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1183]) ).
tcf(c_27183,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),xa) = sdtpldt0(xa,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1182]) ).
tcf(c_27184,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1120]) ).
tcf(c_27185,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1119]) ).
tcf(c_27186,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1118]) ).
tcf(c_27187,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1117]) ).
tcf(c_27188,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),xb) = sdtasdt0(xb,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1116]) ).
tcf(c_27189,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),xa) = sdtasdt0(xa,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_1115]) ).
tcf(c_27190,plain,
( ( sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xq)))) = smndt0(sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_951]) ).
tcf(c_27191,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),sz00) = smndt0(sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_937]) ).
tcf(c_27192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,smndt0(xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_69]) ).
tcf(c_27193,plain,
( ( sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_923]) ).
tcf(c_27194,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xq)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xq)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_68]) ).
tcf(c_27195,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xq)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_77]) ).
tcf(c_27196,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xq)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_71]) ).
tcf(c_27197,plain,
( ( sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xq))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_909]) ).
tcf(c_27198,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_76]) ).
tcf(c_27199,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xq))) )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_70]) ).
tcf(c_27200,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),sdtpldt0(xm,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_74]) ).
tcf(c_27201,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),smndt0(sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_73]) ).
tcf(c_27202,plain,
( ( sdtpldt0(sz00,sdtpldt0(xm,smndt0(xq))) = sdtpldt0(xm,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_63]) ).
tcf(c_27203,plain,
( ( sdtpldt0(sdtpldt0(xm,smndt0(xq)),sz00) = sdtpldt0(xm,smndt0(xq)) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_62]) ).
tcf(c_27204,plain,
( ( sdtasdt0(sz00,sdtpldt0(xm,smndt0(xq))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_61]) ).
tcf(c_27205,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_60]) ).
tcf(c_27366,plain,
( ( xp = sz00 )
| ( sdtpldt0(xa,xb) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,xb))
| ( sdtasdt0(xp,sdtpldt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3224,c_59]) ).
tcf(c_27367,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xa,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3224,c_72]) ).
tcf(c_27368,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_27367,c_51,c_3219]) ).
tcf(c_27369,plain,
( ( sdtpldt0(xa,xb) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27366,c_52,c_51,c_3219]) ).
tcf(c_27372,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_4744]) ).
tcf(c_27373,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_4587]) ).
tcf(c_27374,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_4303]) ).
tcf(c_27375,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_3754]) ).
tcf(c_27376,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_3178]) ).
tcf(c_27377,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_3124]) ).
tcf(c_27378,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_3080]) ).
tcf(c_27379,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_2851]) ).
tcf(c_27380,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_2623]) ).
tcf(c_27381,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_2294]) ).
tcf(c_27382,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_1883]) ).
tcf(c_27383,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_1835]) ).
tcf(c_27384,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_1774]) ).
tcf(c_27385,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_5023]) ).
tcf(c_27386,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27368,c_4917]) ).
tcf(c_27387,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_1038]) ).
tcf(c_27388,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_1004]) ).
tcf(c_27389,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_1582]) ).
tcf(c_27390,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27368,c_1264]) ).
tcf(c_27391,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1187]) ).
tcf(c_27392,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1186]) ).
tcf(c_27393,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1185]) ).
tcf(c_27394,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1184]) ).
tcf(c_27395,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1183]) ).
tcf(c_27396,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1182]) ).
tcf(c_27397,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1120]) ).
tcf(c_27398,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1119]) ).
tcf(c_27399,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1118]) ).
tcf(c_27400,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1117]) ).
tcf(c_27401,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1116]) ).
tcf(c_27402,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_1115]) ).
tcf(c_27403,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))) = smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_951]) ).
tcf(c_27404,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27368,c_937]) ).
tcf(c_27405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27368,c_69]) ).
tcf(c_27406,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_923]) ).
tcf(c_27407,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27368,c_68]) ).
tcf(c_27408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27368,c_77]) ).
tcf(c_27409,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27368,c_71]) ).
tcf(c_27410,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27368,c_909]) ).
tcf(c_27411,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27368,c_76]) ).
tcf(c_27412,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27368,c_70]) ).
tcf(c_27413,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),sdtasdt0(xp,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_74]) ).
tcf(c_27414,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_73]) ).
tcf(c_27415,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xb))) = sdtasdt0(xp,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_27368,c_63]) ).
tcf(c_27416,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xb)),sz00) = sdtasdt0(xp,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_27368,c_62]) ).
tcf(c_27417,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_61]) ).
tcf(c_27418,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_27368,c_60]) ).
tcf(c_27477,plain,
( ( xb = sz00 )
| ( sdtpldt0(xa,xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,xb))
| ( sdtasdt0(xb,sdtpldt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3225,c_59]) ).
tcf(c_27478,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xa,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3225,c_72]) ).
tcf(c_27479,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_27478,c_50,c_3219]) ).
tcf(c_27480,plain,
( ( xb = sz00 )
| ( sdtpldt0(xa,xb) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27477,c_50,c_3219]) ).
tcf(c_27487,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_4744]) ).
tcf(c_27488,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_4587]) ).
tcf(c_27489,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_4303]) ).
tcf(c_27490,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_3754]) ).
tcf(c_27491,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_3178]) ).
tcf(c_27492,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_3124]) ).
tcf(c_27493,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_3080]) ).
tcf(c_27494,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_2851]) ).
tcf(c_27495,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_2623]) ).
tcf(c_27496,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_2294]) ).
tcf(c_27497,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_1883]) ).
tcf(c_27498,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_1835]) ).
tcf(c_27499,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_1774]) ).
tcf(c_27500,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_5023]) ).
tcf(c_27501,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27479,c_4917]) ).
tcf(c_27502,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_1038]) ).
tcf(c_27503,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_1004]) ).
tcf(c_27504,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_1582]) ).
tcf(c_27505,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27479,c_1264]) ).
tcf(c_27506,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1187]) ).
tcf(c_27507,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1186]) ).
tcf(c_27508,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1185]) ).
tcf(c_27509,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1184]) ).
tcf(c_27510,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1183]) ).
tcf(c_27511,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1182]) ).
tcf(c_27512,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1120]) ).
tcf(c_27513,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1119]) ).
tcf(c_27514,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1118]) ).
tcf(c_27515,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1117]) ).
tcf(c_27516,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1116]) ).
tcf(c_27517,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_1115]) ).
tcf(c_27518,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))) = smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_951]) ).
tcf(c_27519,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27479,c_937]) ).
tcf(c_27520,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27479,c_69]) ).
tcf(c_27521,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_923]) ).
tcf(c_27522,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27479,c_68]) ).
tcf(c_27523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27479,c_77]) ).
tcf(c_27524,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27479,c_71]) ).
tcf(c_27525,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27479,c_909]) ).
tcf(c_27526,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27479,c_76]) ).
tcf(c_27527,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27479,c_70]) ).
tcf(c_27528,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),sdtasdt0(xb,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_74]) ).
tcf(c_27529,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_73]) ).
tcf(c_27530,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xb))) = sdtasdt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_27479,c_63]) ).
tcf(c_27531,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xb)),sz00) = sdtasdt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_27479,c_62]) ).
tcf(c_27532,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_61]) ).
tcf(c_27533,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_27479,c_60]) ).
tcf(c_27927,plain,
( ( xa = sz00 )
| ( sdtpldt0(xa,xb) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,xb))
| ( sdtasdt0(xa,sdtpldt0(xa,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3226,c_59]) ).
tcf(c_27928,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xa,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3226,c_72]) ).
tcf(c_27929,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_27928,c_49,c_3219]) ).
tcf(c_27930,plain,
( ( xa = sz00 )
| ( sdtpldt0(xa,xb) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27927,c_49,c_3219]) ).
tcf(c_27934,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_4744]) ).
tcf(c_27935,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_4587]) ).
tcf(c_27936,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_4303]) ).
tcf(c_27937,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_3754]) ).
tcf(c_27938,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_3178]) ).
tcf(c_27939,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_3124]) ).
tcf(c_27940,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_3080]) ).
tcf(c_27941,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_2851]) ).
tcf(c_27942,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_2623]) ).
tcf(c_27943,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_2294]) ).
tcf(c_27944,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_1883]) ).
tcf(c_27945,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_1835]) ).
tcf(c_27946,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_1774]) ).
tcf(c_27947,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_5023]) ).
tcf(c_27948,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27929,c_4917]) ).
tcf(c_27949,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_1038]) ).
tcf(c_27950,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_1004]) ).
tcf(c_27951,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_1582]) ).
tcf(c_27952,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27929,c_1264]) ).
tcf(c_27953,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1187]) ).
tcf(c_27954,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1186]) ).
tcf(c_27955,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1185]) ).
tcf(c_27956,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1184]) ).
tcf(c_27957,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1183]) ).
tcf(c_27958,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1182]) ).
tcf(c_27959,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1120]) ).
tcf(c_27960,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1119]) ).
tcf(c_27961,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1118]) ).
tcf(c_27962,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1117]) ).
tcf(c_27963,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1116]) ).
tcf(c_27964,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_1115]) ).
tcf(c_27965,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))) = smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_951]) ).
tcf(c_27966,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_27929,c_937]) ).
tcf(c_27967,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27929,c_69]) ).
tcf(c_27968,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_923]) ).
tcf(c_27969,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27929,c_68]) ).
tcf(c_27970,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27929,c_77]) ).
tcf(c_27971,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27929,c_71]) ).
tcf(c_27972,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27929,c_909]) ).
tcf(c_27973,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27929,c_76]) ).
tcf(c_27974,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27929,c_70]) ).
tcf(c_27975,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),sdtasdt0(xa,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_74]) ).
tcf(c_27976,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_73]) ).
tcf(c_27977,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xb))) = sdtasdt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_27929,c_63]) ).
tcf(c_27978,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xb)),sz00) = sdtasdt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_27929,c_62]) ).
tcf(c_27979,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_61]) ).
tcf(c_27980,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_27929,c_60]) ).
tcf(c_28012,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xp,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3340,c_78]) ).
tcf(c_28013,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_28012,c_49,c_3339]) ).
tcf(c_28014,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_4744]) ).
tcf(c_28015,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_4587]) ).
tcf(c_28016,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_4303]) ).
tcf(c_28017,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_3754]) ).
tcf(c_28018,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_3178]) ).
tcf(c_28019,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_3124]) ).
tcf(c_28020,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_3080]) ).
tcf(c_28021,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_2851]) ).
tcf(c_28022,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_2623]) ).
tcf(c_28023,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_2294]) ).
tcf(c_28024,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_1883]) ).
tcf(c_28025,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_1835]) ).
tcf(c_28026,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_1774]) ).
tcf(c_28027,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_5023]) ).
tcf(c_28028,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28013,c_4917]) ).
tcf(c_28029,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_1038]) ).
tcf(c_28030,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_1004]) ).
tcf(c_28031,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_1582]) ).
tcf(c_28032,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28013,c_1264]) ).
tcf(c_28033,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1187]) ).
tcf(c_28034,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1186]) ).
tcf(c_28035,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1185]) ).
tcf(c_28036,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1184]) ).
tcf(c_28037,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1183]) ).
tcf(c_28038,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1182]) ).
tcf(c_28039,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1120]) ).
tcf(c_28040,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1119]) ).
tcf(c_28041,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1118]) ).
tcf(c_28042,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1117]) ).
tcf(c_28043,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1116]) ).
tcf(c_28044,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_1115]) ).
tcf(c_28045,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_951]) ).
tcf(c_28046,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28013,c_937]) ).
tcf(c_28047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28013,c_69]) ).
tcf(c_28048,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_923]) ).
tcf(c_28049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28013,c_68]) ).
tcf(c_28050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28013,c_77]) ).
tcf(c_28051,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28013,c_71]) ).
tcf(c_28052,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28013,c_909]) ).
tcf(c_28053,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28013,c_76]) ).
tcf(c_28054,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28013,c_70]) ).
tcf(c_28055,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),sdtpldt0(xa,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_74]) ).
tcf(c_28056,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_73]) ).
tcf(c_28057,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xa))) = sdtpldt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28013,c_63]) ).
tcf(c_28058,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xa)),sz00) = sdtpldt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28013,c_62]) ).
tcf(c_28059,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_61]) ).
tcf(c_28060,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28013,c_60]) ).
tcf(c_28090,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xa) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xa))
| ( sdtasdt0(xm,sdtpldt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3342,c_59]) ).
tcf(c_28091,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xp,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3342,c_72]) ).
tcf(c_28092,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_28091,c_56,c_3339]) ).
tcf(c_28093,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xa) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28090,c_56,c_3339]) ).
tcf(c_28097,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,xa) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xa))
| ( sdtasdt0(xq,sdtpldt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3343,c_59]) ).
tcf(c_28098,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xp,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3343,c_72]) ).
tcf(c_28099,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_28098,c_53,c_3339]) ).
tcf(c_28100,plain,
( ( sdtpldt0(xp,xa) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28097,c_54,c_53,c_3339]) ).
tcf(c_28103,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_4744]) ).
tcf(c_28104,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_4587]) ).
tcf(c_28105,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_4303]) ).
tcf(c_28106,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_3754]) ).
tcf(c_28107,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_3178]) ).
tcf(c_28108,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_3124]) ).
tcf(c_28109,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_3080]) ).
tcf(c_28110,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_2851]) ).
tcf(c_28111,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_2623]) ).
tcf(c_28112,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_2294]) ).
tcf(c_28113,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_1883]) ).
tcf(c_28114,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_1835]) ).
tcf(c_28115,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_1774]) ).
tcf(c_28116,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_5023]) ).
tcf(c_28117,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28092,c_4917]) ).
tcf(c_28118,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_1038]) ).
tcf(c_28119,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_1004]) ).
tcf(c_28120,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_1582]) ).
tcf(c_28121,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28092,c_1264]) ).
tcf(c_28122,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1187]) ).
tcf(c_28123,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1186]) ).
tcf(c_28124,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1185]) ).
tcf(c_28125,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1184]) ).
tcf(c_28126,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1183]) ).
tcf(c_28127,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1182]) ).
tcf(c_28128,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1120]) ).
tcf(c_28129,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1119]) ).
tcf(c_28130,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1118]) ).
tcf(c_28131,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1117]) ).
tcf(c_28132,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1116]) ).
tcf(c_28133,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_1115]) ).
tcf(c_28134,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_951]) ).
tcf(c_28135,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28092,c_937]) ).
tcf(c_28136,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28092,c_69]) ).
tcf(c_28137,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_923]) ).
tcf(c_28138,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28092,c_68]) ).
tcf(c_28139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28092,c_77]) ).
tcf(c_28140,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28092,c_71]) ).
tcf(c_28141,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28092,c_909]) ).
tcf(c_28142,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28092,c_76]) ).
tcf(c_28143,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28092,c_70]) ).
tcf(c_28144,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),sdtasdt0(xm,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_74]) ).
tcf(c_28145,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_73]) ).
tcf(c_28146,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xa))) = sdtasdt0(xm,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28092,c_63]) ).
tcf(c_28147,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xa)),sz00) = sdtasdt0(xm,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28092,c_62]) ).
tcf(c_28148,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_61]) ).
tcf(c_28149,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28092,c_60]) ).
tcf(c_28170,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_4744]) ).
tcf(c_28171,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_4587]) ).
tcf(c_28172,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_4303]) ).
tcf(c_28173,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_3754]) ).
tcf(c_28174,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_3178]) ).
tcf(c_28175,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_3124]) ).
tcf(c_28176,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_3080]) ).
tcf(c_28177,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_2851]) ).
tcf(c_28178,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_2623]) ).
tcf(c_28179,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_2294]) ).
tcf(c_28180,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_1883]) ).
tcf(c_28181,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_1835]) ).
tcf(c_28182,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_1774]) ).
tcf(c_28183,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_5023]) ).
tcf(c_28184,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28099,c_4917]) ).
tcf(c_28185,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_1038]) ).
tcf(c_28186,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_1004]) ).
tcf(c_28187,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_1582]) ).
tcf(c_28188,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28099,c_1264]) ).
tcf(c_28189,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1187]) ).
tcf(c_28190,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1186]) ).
tcf(c_28191,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1185]) ).
tcf(c_28192,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1184]) ).
tcf(c_28193,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1183]) ).
tcf(c_28194,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1182]) ).
tcf(c_28195,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1120]) ).
tcf(c_28196,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1119]) ).
tcf(c_28197,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1118]) ).
tcf(c_28198,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1117]) ).
tcf(c_28199,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1116]) ).
tcf(c_28200,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_1115]) ).
tcf(c_28201,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_951]) ).
tcf(c_28202,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28099,c_937]) ).
tcf(c_28203,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28099,c_69]) ).
tcf(c_28204,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_923]) ).
tcf(c_28205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28099,c_68]) ).
tcf(c_28206,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28099,c_77]) ).
tcf(c_28207,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28099,c_71]) ).
tcf(c_28208,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28099,c_909]) ).
tcf(c_28209,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28099,c_76]) ).
tcf(c_28210,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28099,c_70]) ).
tcf(c_28211,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),sdtasdt0(xq,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_74]) ).
tcf(c_28212,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_73]) ).
tcf(c_28213,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xa))) = sdtasdt0(xq,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28099,c_63]) ).
tcf(c_28214,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xa)),sz00) = sdtasdt0(xq,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28099,c_62]) ).
tcf(c_28215,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_61]) ).
tcf(c_28216,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28099,c_60]) ).
tcf(c_28253,plain,
( ( xp = sz00 )
| ( sdtpldt0(xp,xa) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xa))
| ( sdtasdt0(xp,sdtpldt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3344,c_59]) ).
tcf(c_28254,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xp,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3344,c_72]) ).
tcf(c_28255,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_28254,c_51,c_3339]) ).
tcf(c_28256,plain,
( ( sdtpldt0(xp,xa) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28253,c_52,c_51,c_3339]) ).
tcf(c_28259,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_4744]) ).
tcf(c_28260,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_4587]) ).
tcf(c_28261,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_4303]) ).
tcf(c_28262,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_3754]) ).
tcf(c_28263,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_3178]) ).
tcf(c_28264,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_3124]) ).
tcf(c_28265,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_3080]) ).
tcf(c_28266,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_2851]) ).
tcf(c_28267,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_2623]) ).
tcf(c_28268,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_2294]) ).
tcf(c_28269,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_1883]) ).
tcf(c_28270,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_1835]) ).
tcf(c_28271,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_1774]) ).
tcf(c_28272,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_5023]) ).
tcf(c_28273,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28255,c_4917]) ).
tcf(c_28274,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_1038]) ).
tcf(c_28275,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_1004]) ).
tcf(c_28276,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_1582]) ).
tcf(c_28277,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28255,c_1264]) ).
tcf(c_28278,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1187]) ).
tcf(c_28279,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1186]) ).
tcf(c_28280,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1185]) ).
tcf(c_28281,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1184]) ).
tcf(c_28282,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1183]) ).
tcf(c_28283,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1182]) ).
tcf(c_28284,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1120]) ).
tcf(c_28285,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1119]) ).
tcf(c_28286,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1118]) ).
tcf(c_28287,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1117]) ).
tcf(c_28288,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1116]) ).
tcf(c_28289,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_1115]) ).
tcf(c_28290,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_951]) ).
tcf(c_28291,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28255,c_937]) ).
tcf(c_28292,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28255,c_69]) ).
tcf(c_28293,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_923]) ).
tcf(c_28294,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28255,c_68]) ).
tcf(c_28295,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28255,c_77]) ).
tcf(c_28296,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28255,c_71]) ).
tcf(c_28297,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28255,c_909]) ).
tcf(c_28298,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28255,c_76]) ).
tcf(c_28299,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28255,c_70]) ).
tcf(c_28300,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),sdtasdt0(xp,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_74]) ).
tcf(c_28301,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_73]) ).
tcf(c_28302,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xa))) = sdtasdt0(xp,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28255,c_63]) ).
tcf(c_28303,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xa)),sz00) = sdtasdt0(xp,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28255,c_62]) ).
tcf(c_28304,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_61]) ).
tcf(c_28305,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28255,c_60]) ).
tcf(c_28428,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xa) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xa))
| ( sdtasdt0(xb,sdtpldt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3345,c_59]) ).
tcf(c_28429,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xp,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3345,c_72]) ).
tcf(c_28430,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_28429,c_50,c_3339]) ).
tcf(c_28431,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xa) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28428,c_50,c_3339]) ).
tcf(c_28435,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_4744]) ).
tcf(c_28436,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_4587]) ).
tcf(c_28437,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_4303]) ).
tcf(c_28438,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_3754]) ).
tcf(c_28439,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_3178]) ).
tcf(c_28440,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_3124]) ).
tcf(c_28441,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_3080]) ).
tcf(c_28442,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_2851]) ).
tcf(c_28443,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_2623]) ).
tcf(c_28444,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_2294]) ).
tcf(c_28445,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_1883]) ).
tcf(c_28446,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_1835]) ).
tcf(c_28447,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_1774]) ).
tcf(c_28448,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_5023]) ).
tcf(c_28449,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28430,c_4917]) ).
tcf(c_28450,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_1038]) ).
tcf(c_28451,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_1004]) ).
tcf(c_28452,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_1582]) ).
tcf(c_28453,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28430,c_1264]) ).
tcf(c_28454,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1187]) ).
tcf(c_28455,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1186]) ).
tcf(c_28456,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1185]) ).
tcf(c_28457,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1184]) ).
tcf(c_28458,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1183]) ).
tcf(c_28459,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1182]) ).
tcf(c_28460,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1120]) ).
tcf(c_28461,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1119]) ).
tcf(c_28462,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1118]) ).
tcf(c_28463,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1117]) ).
tcf(c_28464,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1116]) ).
tcf(c_28465,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_1115]) ).
tcf(c_28466,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_951]) ).
tcf(c_28467,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_28430,c_937]) ).
tcf(c_28468,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28430,c_69]) ).
tcf(c_28469,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_923]) ).
tcf(c_28470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28430,c_68]) ).
tcf(c_28471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28430,c_77]) ).
tcf(c_28472,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28430,c_71]) ).
tcf(c_28473,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28430,c_909]) ).
tcf(c_28474,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28430,c_76]) ).
tcf(c_28475,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28430,c_70]) ).
tcf(c_28476,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),sdtasdt0(xb,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_74]) ).
tcf(c_28477,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_73]) ).
tcf(c_28478,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xa))) = sdtasdt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28430,c_63]) ).
tcf(c_28479,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xa)),sz00) = sdtasdt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_28430,c_62]) ).
tcf(c_28480,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_61]) ).
tcf(c_28481,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28430,c_60]) ).
tcf(c_28510,plain,
sdtpldt0(smndt0(xa),sz00) = sdtpldt0(sz00,smndt0(xa)),
inference(superposition,[status(thm)],[c_49,c_4849]) ).
tcf(c_28511,plain,
sdtpldt0(smndt0(xb),sz00) = sdtpldt0(sz00,smndt0(xb)),
inference(superposition,[status(thm)],[c_50,c_4849]) ).
tcf(c_28512,plain,
sdtpldt0(smndt0(xp),sz00) = sdtpldt0(sz00,smndt0(xp)),
inference(superposition,[status(thm)],[c_51,c_4849]) ).
tcf(c_28513,plain,
sdtpldt0(smndt0(xq),sz00) = sdtpldt0(sz00,smndt0(xq)),
inference(superposition,[status(thm)],[c_53,c_4849]) ).
tcf(c_28514,plain,
sdtpldt0(smndt0(xm),sz00) = sdtpldt0(sz00,smndt0(xm)),
inference(superposition,[status(thm)],[c_56,c_4849]) ).
tcf(c_28515,plain,
sdtpldt0(smndt0(sz00),sz00) = sdtpldt0(sz00,smndt0(sz00)),
inference(superposition,[status(thm)],[c_64,c_4849]) ).
tcf(c_28516,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_4849]) ).
tcf(c_28517,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),sz00) = sdtpldt0(sz00,smndt0(smndt0(X0))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_4849]) ).
tcf(c_28518,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_4849]) ).
tcf(c_28519,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_1633,c_4849]) ).
tcf(c_28520,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_2661,c_4849]) ).
tcf(c_28521,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_1975,c_4849]) ).
tcf(c_28522,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_1914,c_4849]) ).
tcf(c_28523,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_2091,c_4849]) ).
tcf(c_28524,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_2166,c_4849]) ).
tcf(c_28525,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_17725,c_4849]) ).
tcf(c_28526,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_13188,c_4849]) ).
tcf(c_28527,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_2315,c_4849]) ).
tcf(c_28528,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_2420,c_4849]) ).
tcf(c_28529,plain,
sdtpldt0(smndt0(sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_2484,c_4849]) ).
tcf(c_28530,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_3596,c_4849]) ).
tcf(c_28531,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_2753,c_4849]) ).
tcf(c_28532,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_2918,c_4849]) ).
tcf(c_28533,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_17719,c_4849]) ).
tcf(c_28534,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_13092,c_4849]) ).
tcf(c_28535,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_3219,c_4849]) ).
tcf(c_28536,plain,
sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_12064,c_4849]) ).
tcf(c_28537,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_3339,c_4849]) ).
tcf(c_28538,plain,
sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_11002,c_4849]) ).
tcf(c_28539,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_3448,c_4849]) ).
tcf(c_28540,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_3508,c_4849]) ).
tcf(c_28541,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_5184,c_4849]) ).
tcf(c_28542,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_16031,c_4849]) ).
tcf(c_28543,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_3799,c_4849]) ).
tcf(c_28544,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_3870,c_4849]) ).
tcf(c_28545,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_4045,c_4849]) ).
tcf(c_28546,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_4122,c_4849]) ).
tcf(c_28547,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_4338,c_4849]) ).
tcf(c_28548,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_4414,c_4849]) ).
tcf(c_28549,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_17473,c_4849]) ).
tcf(c_28550,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15645,c_4849]) ).
tcf(c_28551,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_4657,c_4849]) ).
tcf(c_28552,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_5334,c_4849]) ).
tcf(c_28553,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_5697,c_4849]) ).
tcf(c_28554,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_6261,c_4849]) ).
tcf(c_28555,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_6470,c_4849]) ).
tcf(c_28556,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_4849]) ).
tcf(c_28557,plain,
sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_7971,c_4849]) ).
tcf(c_28558,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_4849]) ).
tcf(c_28559,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_4849]) ).
tcf(c_28560,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xa,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_4849]) ).
tcf(c_28561,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_8671,c_4849]) ).
tcf(c_28562,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_8842,c_4849]) ).
tcf(c_28563,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_8943,c_4849]) ).
tcf(c_28564,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9094,c_4849]) ).
tcf(c_28565,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_9288,c_4849]) ).
tcf(c_28566,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9370,c_4849]) ).
tcf(c_28567,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_9495,c_4849]) ).
tcf(c_28568,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_4849]) ).
tcf(c_28569,plain,
sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xb)))),
inference(superposition,[status(thm)],[c_9947,c_4849]) ).
tcf(c_28570,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_4849]) ).
tcf(c_28571,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_4849]) ).
tcf(c_28572,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xb,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_4849]) ).
tcf(c_28573,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_4849]) ).
tcf(c_28574,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_4849]) ).
tcf(c_28575,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_4849]) ).
tcf(c_28576,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xp,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_4849]) ).
tcf(c_28577,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_4849]) ).
tcf(c_28578,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_4849]) ).
tcf(c_28579,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_4849]) ).
tcf(c_28580,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xq,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_4849]) ).
tcf(c_28581,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12783,c_4849]) ).
tcf(c_28582,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_12790,c_4849]) ).
tcf(c_28583,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_4849]) ).
tcf(c_28584,plain,
sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_13766,c_4849]) ).
tcf(c_28585,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_4849]) ).
tcf(c_28586,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_4849]) ).
tcf(c_28587,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xm,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_4849]) ).
tcf(c_28588,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_14566,c_4849]) ).
tcf(c_28589,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_14697,c_4849]) ).
tcf(c_28590,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_14932,c_4849]) ).
tcf(c_28591,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_15065,c_4849]) ).
tcf(c_28592,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_15173,c_4849]) ).
tcf(c_28593,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_15391,c_4849]) ).
tcf(c_28594,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_15718,c_4849]) ).
tcf(c_28595,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16248,c_4849]) ).
tcf(c_28596,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16344,c_4849]) ).
tcf(c_28597,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_16457,c_4849]) ).
tcf(c_28598,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_4849]) ).
tcf(c_28599,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_4849]) ).
tcf(c_28600,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_4849]) ).
tcf(c_28601,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_17869,c_4849]) ).
tcf(c_28602,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_18013,c_4849]) ).
tcf(c_28603,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_18133,c_4849]) ).
tcf(c_28604,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_18253,c_4849]) ).
tcf(c_28605,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_18360,c_4849]) ).
tcf(c_28606,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_18366,c_4849]) ).
tcf(c_28607,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_18630,c_4849]) ).
tcf(c_28608,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_18737,c_4849]) ).
tcf(c_28609,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_4849]) ).
tcf(c_28610,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_4849]) ).
tcf(c_28611,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_4849]) ).
tcf(c_28612,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_4849]) ).
tcf(c_28613,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20016,c_4849]) ).
tcf(c_28614,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20116,c_4849]) ).
tcf(c_28615,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_20276,c_4849]) ).
tcf(c_28616,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_4849]) ).
tcf(c_28617,plain,
sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xb)))),
inference(superposition,[status(thm)],[c_21047,c_4849]) ).
tcf(c_28618,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_4849]) ).
tcf(c_28619,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xp,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_4849]) ).
tcf(c_28620,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_21490,c_4849]) ).
tcf(c_28621,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_21497,c_4849]) ).
tcf(c_28622,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_21836,c_4849]) ).
tcf(c_28623,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_22001,c_4849]) ).
tcf(c_28624,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_22104,c_4849]) ).
tcf(c_28625,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_22224,c_4849]) ).
tcf(c_28626,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_22398,c_4849]) ).
tcf(c_28627,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_22405,c_4849]) ).
tcf(c_28628,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_22701,c_4849]) ).
tcf(c_28629,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_22813,c_4849]) ).
tcf(c_28630,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_22925,c_4849]) ).
tcf(c_28631,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_23016,c_4849]) ).
tcf(c_28632,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_23198,c_4849]) ).
tcf(c_28633,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_23306,c_4849]) ).
tcf(c_28634,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_23413,c_4849]) ).
tcf(c_28635,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_23662,c_4849]) ).
tcf(c_28636,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_4849]) ).
tcf(c_28637,plain,
sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xb)))),
inference(superposition,[status(thm)],[c_24297,c_4849]) ).
tcf(c_28638,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_4849]) ).
tcf(c_28639,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xq,smndt0(xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,smndt0(xm)))) )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_4849]) ).
tcf(c_28640,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_24923,c_4849]) ).
tcf(c_28641,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_25250,c_4849]) ).
tcf(c_28642,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_25322,c_4849]) ).
tcf(c_28643,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_25403,c_4849]) ).
tcf(c_28644,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_25479,c_4849]) ).
tcf(c_28645,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25632,c_4849]) ).
tcf(c_28646,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_25718,c_4849]) ).
tcf(c_28647,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_26037,c_4849]) ).
tcf(c_28648,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xa)))) )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_4849]) ).
tcf(c_28649,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xb)))),
inference(superposition,[status(thm)],[c_26725,c_4849]) ).
tcf(c_28650,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xp))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xp)))) )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_4849]) ).
tcf(c_28651,plain,
( ( sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xq)))) )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_4849]) ).
tcf(c_28652,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27368,c_4849]) ).
tcf(c_28653,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27479,c_4849]) ).
tcf(c_28654,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_27929,c_4849]) ).
tcf(c_28655,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28013,c_4849]) ).
tcf(c_28656,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28092,c_4849]) ).
tcf(c_28657,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28099,c_4849]) ).
tcf(c_28658,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28255,c_4849]) ).
tcf(c_28659,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_28430,c_4849]) ).
tcf(c_29099,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xa) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xa))
| ( sdtasdt0(xa,sdtpldt0(xp,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3346,c_59]) ).
tcf(c_29100,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xp,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3346,c_72]) ).
tcf(c_29101,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_29100,c_49,c_3339]) ).
tcf(c_29102,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xa) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xp,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29099,c_49,c_3339]) ).
tcf(c_29106,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_4849]) ).
tcf(c_29107,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_4744]) ).
tcf(c_29108,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_4587]) ).
tcf(c_29109,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_4303]) ).
tcf(c_29110,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_3754]) ).
tcf(c_29111,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_3178]) ).
tcf(c_29112,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_3124]) ).
tcf(c_29113,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_3080]) ).
tcf(c_29114,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_2851]) ).
tcf(c_29115,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_2623]) ).
tcf(c_29116,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_2294]) ).
tcf(c_29117,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_1883]) ).
tcf(c_29118,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_1835]) ).
tcf(c_29119,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_29101,c_1774]) ).
tcf(c_29120,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_5023]) ).
tcf(c_29121,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29101,c_4917]) ).
tcf(c_29122,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_1038]) ).
tcf(c_29123,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_1004]) ).
tcf(c_29124,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_1582]) ).
tcf(c_29125,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29101,c_1264]) ).
tcf(c_29126,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1187]) ).
tcf(c_29127,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1186]) ).
tcf(c_29128,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1185]) ).
tcf(c_29129,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1184]) ).
tcf(c_29130,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1183]) ).
tcf(c_29131,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1182]) ).
tcf(c_29132,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1120]) ).
tcf(c_29133,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1119]) ).
tcf(c_29134,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1118]) ).
tcf(c_29135,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1117]) ).
tcf(c_29136,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1116]) ).
tcf(c_29137,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_1115]) ).
tcf(c_29138,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_951]) ).
tcf(c_29139,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_29101,c_937]) ).
tcf(c_29140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29101,c_69]) ).
tcf(c_29141,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_923]) ).
tcf(c_29142,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29101,c_68]) ).
tcf(c_29143,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29101,c_77]) ).
tcf(c_29144,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29101,c_71]) ).
tcf(c_29145,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29101,c_909]) ).
tcf(c_29146,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29101,c_76]) ).
tcf(c_29147,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29101,c_70]) ).
tcf(c_29148,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))),sdtasdt0(xa,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_74]) ).
tcf(c_29149,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_73]) ).
tcf(c_29150,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xa))) = sdtasdt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_29101,c_63]) ).
tcf(c_29151,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xa)),sz00) = sdtasdt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_29101,c_62]) ).
tcf(c_29152,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_61]) ).
tcf(c_29153,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29101,c_60]) ).
tcf(c_29184,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xq,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3449,c_78]) ).
tcf(c_29185,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_29184,c_49,c_3448]) ).
tcf(c_29186,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_4849]) ).
tcf(c_29187,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_4744]) ).
tcf(c_29188,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_4587]) ).
tcf(c_29189,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_4303]) ).
tcf(c_29190,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_3754]) ).
tcf(c_29191,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_3178]) ).
tcf(c_29192,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_3124]) ).
tcf(c_29193,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_3080]) ).
tcf(c_29194,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_2851]) ).
tcf(c_29195,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_2623]) ).
tcf(c_29196,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_2294]) ).
tcf(c_29197,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_1883]) ).
tcf(c_29198,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_1835]) ).
tcf(c_29199,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29185,c_1774]) ).
tcf(c_29200,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_5023]) ).
tcf(c_29201,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29185,c_4917]) ).
tcf(c_29202,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_1038]) ).
tcf(c_29203,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_1004]) ).
tcf(c_29204,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_1582]) ).
tcf(c_29205,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29185,c_1264]) ).
tcf(c_29206,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1187]) ).
tcf(c_29207,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1186]) ).
tcf(c_29208,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1185]) ).
tcf(c_29209,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1184]) ).
tcf(c_29210,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1183]) ).
tcf(c_29211,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1182]) ).
tcf(c_29212,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1120]) ).
tcf(c_29213,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1119]) ).
tcf(c_29214,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1118]) ).
tcf(c_29215,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1117]) ).
tcf(c_29216,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1116]) ).
tcf(c_29217,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_1115]) ).
tcf(c_29218,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))) = smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_951]) ).
tcf(c_29219,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29185,c_937]) ).
tcf(c_29220,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29185,c_69]) ).
tcf(c_29221,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_923]) ).
tcf(c_29222,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29185,c_68]) ).
tcf(c_29223,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29185,c_77]) ).
tcf(c_29224,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29185,c_71]) ).
tcf(c_29225,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29185,c_909]) ).
tcf(c_29226,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29185,c_76]) ).
tcf(c_29227,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29185,c_70]) ).
tcf(c_29228,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))),sdtpldt0(xa,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_74]) ).
tcf(c_29229,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_73]) ).
tcf(c_29230,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xa))) = sdtpldt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_29185,c_63]) ).
tcf(c_29231,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xa)),sz00) = sdtpldt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_29185,c_62]) ).
tcf(c_29232,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_61]) ).
tcf(c_29233,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29185,c_60]) ).
tcf(c_29263,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_5844]) ).
tcf(c_29264,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_5844]) ).
tcf(c_29265,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(xp)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_5844]) ).
tcf(c_29266,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_5844]) ).
tcf(c_29267,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_5844]) ).
tcf(c_29268,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sz00)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_5844]) ).
tcf(c_29269,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1))))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_5844]) ).
tcf(c_29270,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(smndt0(X0))))),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_5844]) ).
tcf(c_29271,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1))))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_5844]) ).
tcf(c_29272,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1633,c_5844]) ).
tcf(c_29273,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2661,c_5844]) ).
tcf(c_29274,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1975,c_5844]) ).
tcf(c_29275,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_1914,c_5844]) ).
tcf(c_29276,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2091,c_5844]) ).
tcf(c_29277,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2166,c_5844]) ).
tcf(c_29278,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17725,c_5844]) ).
tcf(c_29279,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13188,c_5844]) ).
tcf(c_29280,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2315,c_5844]) ).
tcf(c_29281,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2420,c_5844]) ).
tcf(c_29282,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2484,c_5844]) ).
tcf(c_29283,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3596,c_5844]) ).
tcf(c_29284,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2753,c_5844]) ).
tcf(c_29285,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2918,c_5844]) ).
tcf(c_29286,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17719,c_5844]) ).
tcf(c_29287,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13092,c_5844]) ).
tcf(c_29288,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3219,c_5844]) ).
tcf(c_29289,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12064,c_5844]) ).
tcf(c_29290,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3339,c_5844]) ).
tcf(c_29291,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11002,c_5844]) ).
tcf(c_29292,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3448,c_5844]) ).
tcf(c_29293,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3508,c_5844]) ).
tcf(c_29294,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5184,c_5844]) ).
tcf(c_29295,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16031,c_5844]) ).
tcf(c_29296,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3799,c_5844]) ).
tcf(c_29297,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3870,c_5844]) ).
tcf(c_29298,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4045,c_5844]) ).
tcf(c_29299,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4122,c_5844]) ).
tcf(c_29300,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4338,c_5844]) ).
tcf(c_29301,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4414,c_5844]) ).
tcf(c_29302,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17473,c_5844]) ).
tcf(c_29303,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15645,c_5844]) ).
tcf(c_29304,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4657,c_5844]) ).
tcf(c_29305,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5334,c_5844]) ).
tcf(c_29306,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5697,c_5844]) ).
tcf(c_29307,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6261,c_5844]) ).
tcf(c_29308,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6470,c_5844]) ).
tcf(c_29309,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_5844]) ).
tcf(c_29310,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7971,c_5844]) ).
tcf(c_29311,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_5844]) ).
tcf(c_29312,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_5844]) ).
tcf(c_29313,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_5844]) ).
tcf(c_29314,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8671,c_5844]) ).
tcf(c_29315,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8842,c_5844]) ).
tcf(c_29316,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8943,c_5844]) ).
tcf(c_29317,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9094,c_5844]) ).
tcf(c_29318,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9288,c_5844]) ).
tcf(c_29319,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9370,c_5844]) ).
tcf(c_29320,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9495,c_5844]) ).
tcf(c_29321,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_5844]) ).
tcf(c_29322,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9947,c_5844]) ).
tcf(c_29323,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_5844]) ).
tcf(c_29324,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_5844]) ).
tcf(c_29325,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_5844]) ).
tcf(c_29326,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_5844]) ).
tcf(c_29327,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_5844]) ).
tcf(c_29328,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_5844]) ).
tcf(c_29329,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_5844]) ).
tcf(c_29330,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_5844]) ).
tcf(c_29331,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_5844]) ).
tcf(c_29332,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_5844]) ).
tcf(c_29333,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_5844]) ).
tcf(c_29334,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12783,c_5844]) ).
tcf(c_29335,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12790,c_5844]) ).
tcf(c_29336,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_5844]) ).
tcf(c_29337,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13766,c_5844]) ).
tcf(c_29338,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_5844]) ).
tcf(c_29339,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_5844]) ).
tcf(c_29340,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_5844]) ).
tcf(c_29341,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14566,c_5844]) ).
tcf(c_29342,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14697,c_5844]) ).
tcf(c_29343,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14932,c_5844]) ).
tcf(c_29344,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15065,c_5844]) ).
tcf(c_29345,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15173,c_5844]) ).
tcf(c_29346,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15391,c_5844]) ).
tcf(c_29347,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15718,c_5844]) ).
tcf(c_29348,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16248,c_5844]) ).
tcf(c_29349,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16344,c_5844]) ).
tcf(c_29350,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16457,c_5844]) ).
tcf(c_29351,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_5844]) ).
tcf(c_29352,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_5844]) ).
tcf(c_29353,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_5844]) ).
tcf(c_29354,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17869,c_5844]) ).
tcf(c_29355,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18013,c_5844]) ).
tcf(c_29356,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18133,c_5844]) ).
tcf(c_29357,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18253,c_5844]) ).
tcf(c_29358,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18360,c_5844]) ).
tcf(c_29359,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18366,c_5844]) ).
tcf(c_29360,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18630,c_5844]) ).
tcf(c_29361,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18737,c_5844]) ).
tcf(c_29362,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_5844]) ).
tcf(c_29363,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_5844]) ).
tcf(c_29364,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_5844]) ).
tcf(c_29365,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_5844]) ).
tcf(c_29366,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20016,c_5844]) ).
tcf(c_29367,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20116,c_5844]) ).
tcf(c_29368,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20276,c_5844]) ).
tcf(c_29369,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_5844]) ).
tcf(c_29370,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21047,c_5844]) ).
tcf(c_29371,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_5844]) ).
tcf(c_29372,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_5844]) ).
tcf(c_29373,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21490,c_5844]) ).
tcf(c_29374,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21497,c_5844]) ).
tcf(c_29375,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_21836,c_5844]) ).
tcf(c_29376,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22001,c_5844]) ).
tcf(c_29377,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22104,c_5844]) ).
tcf(c_29378,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22224,c_5844]) ).
tcf(c_29379,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22398,c_5844]) ).
tcf(c_29380,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22405,c_5844]) ).
tcf(c_29381,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22701,c_5844]) ).
tcf(c_29382,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22813,c_5844]) ).
tcf(c_29383,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22925,c_5844]) ).
tcf(c_29384,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23016,c_5844]) ).
tcf(c_29385,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23198,c_5844]) ).
tcf(c_29386,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23306,c_5844]) ).
tcf(c_29387,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23413,c_5844]) ).
tcf(c_29388,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23662,c_5844]) ).
tcf(c_29389,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_5844]) ).
tcf(c_29390,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24297,c_5844]) ).
tcf(c_29391,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_5844]) ).
tcf(c_29392,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xm)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_5844]) ).
tcf(c_29393,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24923,c_5844]) ).
tcf(c_29394,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25250,c_5844]) ).
tcf(c_29395,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25322,c_5844]) ).
tcf(c_29396,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25403,c_5844]) ).
tcf(c_29397,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25479,c_5844]) ).
tcf(c_29398,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25632,c_5844]) ).
tcf(c_29399,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_25718,c_5844]) ).
tcf(c_29400,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26037,c_5844]) ).
tcf(c_29401,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xa)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_5844]) ).
tcf(c_29402,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26725,c_5844]) ).
tcf(c_29403,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xp)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_5844]) ).
tcf(c_29404,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xq)))))),sz00) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_5844]) ).
tcf(c_29405,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27368,c_5844]) ).
tcf(c_29406,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27479,c_5844]) ).
tcf(c_29407,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27929,c_5844]) ).
tcf(c_29408,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28013,c_5844]) ).
tcf(c_29409,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28092,c_5844]) ).
tcf(c_29410,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28099,c_5844]) ).
tcf(c_29411,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28255,c_5844]) ).
tcf(c_29412,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28430,c_5844]) ).
tcf(c_29413,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29101,c_5844]) ).
tcf(c_29414,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29185,c_5844]) ).
tcf(c_29861,plain,
( ( sz00 = xm )
| ( sdtpldt0(xq,xa) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xa))
| ( sdtasdt0(xm,sdtpldt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3451,c_59]) ).
tcf(c_29862,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xq,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3451,c_72]) ).
tcf(c_29863,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_29862,c_56,c_3448]) ).
tcf(c_29864,plain,
( ( sz00 = xm )
| ( sdtpldt0(xq,xa) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29861,c_56,c_3448]) ).
tcf(c_29868,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29863,c_5844]) ).
tcf(c_29869,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_4849]) ).
tcf(c_29870,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_4744]) ).
tcf(c_29871,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_4587]) ).
tcf(c_29872,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_4303]) ).
tcf(c_29873,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_3754]) ).
tcf(c_29874,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_3178]) ).
tcf(c_29875,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_3124]) ).
tcf(c_29876,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_3080]) ).
tcf(c_29877,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_2851]) ).
tcf(c_29878,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_2623]) ).
tcf(c_29879,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_2294]) ).
tcf(c_29880,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_1883]) ).
tcf(c_29881,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_1835]) ).
tcf(c_29882,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29863,c_1774]) ).
tcf(c_29883,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_5023]) ).
tcf(c_29884,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29863,c_4917]) ).
tcf(c_29885,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_1038]) ).
tcf(c_29886,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_1004]) ).
tcf(c_29887,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_1582]) ).
tcf(c_29888,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29863,c_1264]) ).
tcf(c_29889,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1187]) ).
tcf(c_29890,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1186]) ).
tcf(c_29891,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1185]) ).
tcf(c_29892,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1184]) ).
tcf(c_29893,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1183]) ).
tcf(c_29894,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1182]) ).
tcf(c_29895,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1120]) ).
tcf(c_29896,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1119]) ).
tcf(c_29897,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1118]) ).
tcf(c_29898,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1117]) ).
tcf(c_29899,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1116]) ).
tcf(c_29900,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_1115]) ).
tcf(c_29901,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))) = smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_951]) ).
tcf(c_29902,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29863,c_937]) ).
tcf(c_29903,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29863,c_69]) ).
tcf(c_29904,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_923]) ).
tcf(c_29905,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29863,c_68]) ).
tcf(c_29906,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29863,c_77]) ).
tcf(c_29907,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29863,c_71]) ).
tcf(c_29908,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29863,c_909]) ).
tcf(c_29909,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29863,c_76]) ).
tcf(c_29910,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29863,c_70]) ).
tcf(c_29911,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))),sdtasdt0(xm,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_74]) ).
tcf(c_29912,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),smndt0(sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_73]) ).
tcf(c_29913,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xa))) = sdtasdt0(xm,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_29863,c_63]) ).
tcf(c_29914,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xa)),sz00) = sdtasdt0(xm,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_29863,c_62]) ).
tcf(c_29915,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_61]) ).
tcf(c_29916,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29863,c_60]) ).
tcf(c_29945,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,xa) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xa))
| ( sdtasdt0(xq,sdtpldt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3452,c_59]) ).
tcf(c_29946,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xq,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3452,c_72]) ).
tcf(c_29947,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_29946,c_53,c_3448]) ).
tcf(c_29948,plain,
( ( sdtpldt0(xq,xa) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29945,c_54,c_53,c_3448]) ).
tcf(c_29951,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29947,c_5844]) ).
tcf(c_29952,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_4849]) ).
tcf(c_29953,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_4744]) ).
tcf(c_29954,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_4587]) ).
tcf(c_29955,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_4303]) ).
tcf(c_29956,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_3754]) ).
tcf(c_29957,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_3178]) ).
tcf(c_29958,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_3124]) ).
tcf(c_29959,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_3080]) ).
tcf(c_29960,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_2851]) ).
tcf(c_29961,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_2623]) ).
tcf(c_29962,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_2294]) ).
tcf(c_29963,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_1883]) ).
tcf(c_29964,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_1835]) ).
tcf(c_29965,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_29947,c_1774]) ).
tcf(c_29966,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_5023]) ).
tcf(c_29967,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29947,c_4917]) ).
tcf(c_29968,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_1038]) ).
tcf(c_29969,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_1004]) ).
tcf(c_29970,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_1582]) ).
tcf(c_29971,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29947,c_1264]) ).
tcf(c_29972,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1187]) ).
tcf(c_29973,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1186]) ).
tcf(c_29974,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1185]) ).
tcf(c_29975,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1184]) ).
tcf(c_29976,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1183]) ).
tcf(c_29977,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1182]) ).
tcf(c_29978,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1120]) ).
tcf(c_29979,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1119]) ).
tcf(c_29980,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1118]) ).
tcf(c_29981,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1117]) ).
tcf(c_29982,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1116]) ).
tcf(c_29983,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_1115]) ).
tcf(c_29984,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))) = smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_951]) ).
tcf(c_29985,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_29947,c_937]) ).
tcf(c_29986,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29947,c_69]) ).
tcf(c_29987,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_923]) ).
tcf(c_29988,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29947,c_68]) ).
tcf(c_29989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29947,c_77]) ).
tcf(c_29990,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29947,c_71]) ).
tcf(c_29991,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29947,c_909]) ).
tcf(c_29992,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29947,c_76]) ).
tcf(c_29993,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29947,c_70]) ).
tcf(c_29994,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))),sdtasdt0(xq,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_74]) ).
tcf(c_29995,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),smndt0(sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_73]) ).
tcf(c_29996,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xa))) = sdtasdt0(xq,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_29947,c_63]) ).
tcf(c_29997,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xa)),sz00) = sdtasdt0(xq,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_29947,c_62]) ).
tcf(c_29998,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_61]) ).
tcf(c_29999,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29947,c_60]) ).
tcf(c_30233,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(xa))))) = sz00,
inference(superposition,[status(thm)],[c_49,c_5998]) ).
tcf(c_30234,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_50,c_5998]) ).
tcf(c_30235,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(xp))))) = sz00,
inference(superposition,[status(thm)],[c_51,c_5998]) ).
tcf(c_30236,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(xq))))) = sz00,
inference(superposition,[status(thm)],[c_53,c_5998]) ).
tcf(c_30237,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(xm))))) = sz00,
inference(superposition,[status(thm)],[c_56,c_5998]) ).
tcf(c_30238,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sz00))))) = sz00,
inference(superposition,[status(thm)],[c_64,c_5998]) ).
tcf(c_30239,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_5998]) ).
tcf(c_30240,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(smndt0(X0)))))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_5998]) ).
tcf(c_30241,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_5998]) ).
tcf(c_30242,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_5998]) ).
tcf(c_30243,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_5998]) ).
tcf(c_30244,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_5998]) ).
tcf(c_30245,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_5998]) ).
tcf(c_30246,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_5998]) ).
tcf(c_30247,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_5998]) ).
tcf(c_30248,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_5998]) ).
tcf(c_30249,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_5998]) ).
tcf(c_30250,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_5998]) ).
tcf(c_30251,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_5998]) ).
tcf(c_30252,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_5998]) ).
tcf(c_30253,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_5998]) ).
tcf(c_30254,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_5998]) ).
tcf(c_30255,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_5998]) ).
tcf(c_30256,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_5998]) ).
tcf(c_30257,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_5998]) ).
tcf(c_30258,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_5998]) ).
tcf(c_30259,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_5998]) ).
tcf(c_30260,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_5998]) ).
tcf(c_30261,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_5998]) ).
tcf(c_30262,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_5998]) ).
tcf(c_30263,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_5998]) ).
tcf(c_30264,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_5998]) ).
tcf(c_30265,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_5998]) ).
tcf(c_30266,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_5998]) ).
tcf(c_30267,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_5998]) ).
tcf(c_30268,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_5998]) ).
tcf(c_30269,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_5998]) ).
tcf(c_30270,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_5998]) ).
tcf(c_30271,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_5998]) ).
tcf(c_30272,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_5998]) ).
tcf(c_30273,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_5998]) ).
tcf(c_30274,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_5998]) ).
tcf(c_30275,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_5998]) ).
tcf(c_30276,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_5998]) ).
tcf(c_30277,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_5998]) ).
tcf(c_30278,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_5998]) ).
tcf(c_30279,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_5998]) ).
tcf(c_30280,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_5998]) ).
tcf(c_30281,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_5998]) ).
tcf(c_30282,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_5998]) ).
tcf(c_30283,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_5998]) ).
tcf(c_30284,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_5998]) ).
tcf(c_30285,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_5998]) ).
tcf(c_30286,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_5998]) ).
tcf(c_30287,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_5998]) ).
tcf(c_30288,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_5998]) ).
tcf(c_30289,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_5998]) ).
tcf(c_30290,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_5998]) ).
tcf(c_30291,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_5998]) ).
tcf(c_30292,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_5998]) ).
tcf(c_30293,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_5998]) ).
tcf(c_30294,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_5998]) ).
tcf(c_30295,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_5998]) ).
tcf(c_30296,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_5998]) ).
tcf(c_30297,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_5998]) ).
tcf(c_30298,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_5998]) ).
tcf(c_30299,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_5998]) ).
tcf(c_30300,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_5998]) ).
tcf(c_30301,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_5998]) ).
tcf(c_30302,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_5998]) ).
tcf(c_30303,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_5998]) ).
tcf(c_30304,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_5998]) ).
tcf(c_30305,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_5998]) ).
tcf(c_30306,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_5998]) ).
tcf(c_30307,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_5998]) ).
tcf(c_30308,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_5998]) ).
tcf(c_30309,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_5998]) ).
tcf(c_30310,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_5998]) ).
tcf(c_30311,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_5998]) ).
tcf(c_30312,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_5998]) ).
tcf(c_30313,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_5998]) ).
tcf(c_30314,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_5998]) ).
tcf(c_30315,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_5998]) ).
tcf(c_30316,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_5998]) ).
tcf(c_30317,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_5998]) ).
tcf(c_30318,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_5998]) ).
tcf(c_30319,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_5998]) ).
tcf(c_30320,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_5998]) ).
tcf(c_30321,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_5998]) ).
tcf(c_30322,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_5998]) ).
tcf(c_30323,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_5998]) ).
tcf(c_30324,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_5998]) ).
tcf(c_30325,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_5998]) ).
tcf(c_30326,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_5998]) ).
tcf(c_30327,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_5998]) ).
tcf(c_30328,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_5998]) ).
tcf(c_30329,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_5998]) ).
tcf(c_30330,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_5998]) ).
tcf(c_30331,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_5998]) ).
tcf(c_30332,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_5998]) ).
tcf(c_30333,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_5998]) ).
tcf(c_30334,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_5998]) ).
tcf(c_30335,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_5998]) ).
tcf(c_30336,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_5998]) ).
tcf(c_30337,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_5998]) ).
tcf(c_30338,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_5998]) ).
tcf(c_30339,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_5998]) ).
tcf(c_30340,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_5998]) ).
tcf(c_30341,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_5998]) ).
tcf(c_30342,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_5998]) ).
tcf(c_30343,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_5998]) ).
tcf(c_30344,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_5998]) ).
tcf(c_30345,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_5998]) ).
tcf(c_30346,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_5998]) ).
tcf(c_30347,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_5998]) ).
tcf(c_30348,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_5998]) ).
tcf(c_30349,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_5998]) ).
tcf(c_30350,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_5998]) ).
tcf(c_30351,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_5998]) ).
tcf(c_30352,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_5998]) ).
tcf(c_30353,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_5998]) ).
tcf(c_30354,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_5998]) ).
tcf(c_30355,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_5998]) ).
tcf(c_30356,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_5998]) ).
tcf(c_30357,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_5998]) ).
tcf(c_30358,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_5998]) ).
tcf(c_30359,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_5998]) ).
tcf(c_30360,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_5998]) ).
tcf(c_30361,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_5998]) ).
tcf(c_30362,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,smndt0(xm))))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_5998]) ).
tcf(c_30363,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_5998]) ).
tcf(c_30364,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_5998]) ).
tcf(c_30365,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_5998]) ).
tcf(c_30366,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_5998]) ).
tcf(c_30367,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_5998]) ).
tcf(c_30368,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_5998]) ).
tcf(c_30369,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_5998]) ).
tcf(c_30370,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_5998]) ).
tcf(c_30371,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xa))))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_5998]) ).
tcf(c_30372,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_5998]) ).
tcf(c_30373,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xp))))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_5998]) ).
tcf(c_30374,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,smndt0(xq))))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_5998]) ).
tcf(c_30375,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_5998]) ).
tcf(c_30376,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_5998]) ).
tcf(c_30377,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_5998]) ).
tcf(c_30378,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_5998]) ).
tcf(c_30379,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_5998]) ).
tcf(c_30380,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_5998]) ).
tcf(c_30381,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_5998]) ).
tcf(c_30382,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_5998]) ).
tcf(c_30383,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_5998]) ).
tcf(c_30384,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_5998]) ).
tcf(c_30385,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_5998]) ).
tcf(c_30386,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_5998]) ).
tcf(c_30762,plain,
( ( xp = sz00 )
| ( sdtpldt0(xq,xa) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xa))
| ( sdtasdt0(xp,sdtpldt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3453,c_59]) ).
tcf(c_30763,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xq,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3453,c_72]) ).
tcf(c_30764,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_30763,c_51,c_3448]) ).
tcf(c_30765,plain,
( ( sdtpldt0(xq,xa) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30762,c_52,c_51,c_3448]) ).
tcf(c_30768,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_5998]) ).
tcf(c_30769,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30764,c_5844]) ).
tcf(c_30770,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_4849]) ).
tcf(c_30771,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_4744]) ).
tcf(c_30772,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_4587]) ).
tcf(c_30773,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_4303]) ).
tcf(c_30774,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_3754]) ).
tcf(c_30775,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_3178]) ).
tcf(c_30776,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_3124]) ).
tcf(c_30777,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_3080]) ).
tcf(c_30778,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_2851]) ).
tcf(c_30779,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_2623]) ).
tcf(c_30780,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_2294]) ).
tcf(c_30781,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_1883]) ).
tcf(c_30782,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_1835]) ).
tcf(c_30783,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30764,c_1774]) ).
tcf(c_30784,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_5023]) ).
tcf(c_30785,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30764,c_4917]) ).
tcf(c_30786,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_1038]) ).
tcf(c_30787,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_1004]) ).
tcf(c_30788,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_1582]) ).
tcf(c_30789,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30764,c_1264]) ).
tcf(c_30790,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1187]) ).
tcf(c_30791,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1186]) ).
tcf(c_30792,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1185]) ).
tcf(c_30793,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1184]) ).
tcf(c_30794,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1183]) ).
tcf(c_30795,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1182]) ).
tcf(c_30796,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1120]) ).
tcf(c_30797,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1119]) ).
tcf(c_30798,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1118]) ).
tcf(c_30799,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1117]) ).
tcf(c_30800,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1116]) ).
tcf(c_30801,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_1115]) ).
tcf(c_30802,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))) = smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_951]) ).
tcf(c_30803,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30764,c_937]) ).
tcf(c_30804,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30764,c_69]) ).
tcf(c_30805,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_923]) ).
tcf(c_30806,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30764,c_68]) ).
tcf(c_30807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30764,c_77]) ).
tcf(c_30808,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30764,c_71]) ).
tcf(c_30809,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30764,c_909]) ).
tcf(c_30810,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30764,c_76]) ).
tcf(c_30811,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30764,c_70]) ).
tcf(c_30812,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))),sdtasdt0(xp,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_74]) ).
tcf(c_30813,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),smndt0(sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_73]) ).
tcf(c_30814,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xa))) = sdtasdt0(xp,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_30764,c_63]) ).
tcf(c_30815,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xa)),sz00) = sdtasdt0(xp,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_30764,c_62]) ).
tcf(c_30816,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_61]) ).
tcf(c_30817,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30764,c_60]) ).
tcf(c_30844,plain,
( ( xb = sz00 )
| ( sdtpldt0(xq,xa) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xa))
| ( sdtasdt0(xb,sdtpldt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3454,c_59]) ).
tcf(c_30845,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xq,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3454,c_72]) ).
tcf(c_30846,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_30845,c_50,c_3448]) ).
tcf(c_30847,plain,
( ( xb = sz00 )
| ( sdtpldt0(xq,xa) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30844,c_50,c_3448]) ).
tcf(c_30851,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_5998]) ).
tcf(c_30852,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30846,c_5844]) ).
tcf(c_30853,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_4849]) ).
tcf(c_30854,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_4744]) ).
tcf(c_30855,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_4587]) ).
tcf(c_30856,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_4303]) ).
tcf(c_30857,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_3754]) ).
tcf(c_30858,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_3178]) ).
tcf(c_30859,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_3124]) ).
tcf(c_30860,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_3080]) ).
tcf(c_30861,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_2851]) ).
tcf(c_30862,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_2623]) ).
tcf(c_30863,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_2294]) ).
tcf(c_30864,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_1883]) ).
tcf(c_30865,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_1835]) ).
tcf(c_30866,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_30846,c_1774]) ).
tcf(c_30867,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_5023]) ).
tcf(c_30868,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30846,c_4917]) ).
tcf(c_30869,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_1038]) ).
tcf(c_30870,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_1004]) ).
tcf(c_30871,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_1582]) ).
tcf(c_30872,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30846,c_1264]) ).
tcf(c_30873,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1187]) ).
tcf(c_30874,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1186]) ).
tcf(c_30875,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1185]) ).
tcf(c_30876,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1184]) ).
tcf(c_30877,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1183]) ).
tcf(c_30878,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1182]) ).
tcf(c_30879,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1120]) ).
tcf(c_30880,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1119]) ).
tcf(c_30881,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1118]) ).
tcf(c_30882,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1117]) ).
tcf(c_30883,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1116]) ).
tcf(c_30884,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_1115]) ).
tcf(c_30885,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))) = smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_951]) ).
tcf(c_30886,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_30846,c_937]) ).
tcf(c_30887,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30846,c_69]) ).
tcf(c_30888,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_923]) ).
tcf(c_30889,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30846,c_68]) ).
tcf(c_30890,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30846,c_77]) ).
tcf(c_30891,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30846,c_71]) ).
tcf(c_30892,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30846,c_909]) ).
tcf(c_30893,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30846,c_76]) ).
tcf(c_30894,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30846,c_70]) ).
tcf(c_30895,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))),sdtasdt0(xb,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_74]) ).
tcf(c_30896,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),smndt0(sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_73]) ).
tcf(c_30897,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xa))) = sdtasdt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_30846,c_63]) ).
tcf(c_30898,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xa)),sz00) = sdtasdt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_30846,c_62]) ).
tcf(c_30899,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_61]) ).
tcf(c_30900,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30846,c_60]) ).
tcf(c_31095,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_7827]) ).
tcf(c_31096,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31095,c_49]) ).
tcf(c_31105,plain,
( ( xa = sz00 )
| ( sdtpldt0(xq,xa) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xa))
| ( sdtasdt0(xa,sdtpldt0(xq,xa)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3455,c_59]) ).
tcf(c_31106,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xq,xa)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3455,c_72]) ).
tcf(c_31107,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_31106,c_49,c_3448]) ).
tcf(c_31108,plain,
( ( xa = sz00 )
| ( sdtpldt0(xq,xa) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xq,xa)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31105,c_49,c_3448]) ).
tcf(c_31112,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_5998]) ).
tcf(c_31113,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31107,c_5844]) ).
tcf(c_31114,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_4849]) ).
tcf(c_31115,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_4744]) ).
tcf(c_31116,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_4587]) ).
tcf(c_31117,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_4303]) ).
tcf(c_31118,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_3754]) ).
tcf(c_31119,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_3178]) ).
tcf(c_31120,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_3124]) ).
tcf(c_31121,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_3080]) ).
tcf(c_31122,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_2851]) ).
tcf(c_31123,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_2623]) ).
tcf(c_31124,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_2294]) ).
tcf(c_31125,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_1883]) ).
tcf(c_31126,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_1835]) ).
tcf(c_31127,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_31107,c_1774]) ).
tcf(c_31128,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_5023]) ).
tcf(c_31129,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31107,c_4917]) ).
tcf(c_31130,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_1038]) ).
tcf(c_31131,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_1004]) ).
tcf(c_31132,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_1582]) ).
tcf(c_31133,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31107,c_1264]) ).
tcf(c_31134,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1187]) ).
tcf(c_31135,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1186]) ).
tcf(c_31136,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1185]) ).
tcf(c_31137,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1184]) ).
tcf(c_31138,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1183]) ).
tcf(c_31139,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1182]) ).
tcf(c_31140,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1120]) ).
tcf(c_31141,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1119]) ).
tcf(c_31142,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1118]) ).
tcf(c_31143,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1117]) ).
tcf(c_31144,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1116]) ).
tcf(c_31145,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_1115]) ).
tcf(c_31146,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))) = smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_951]) ).
tcf(c_31147,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_31107,c_937]) ).
tcf(c_31148,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31107,c_69]) ).
tcf(c_31149,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_923]) ).
tcf(c_31150,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31107,c_68]) ).
tcf(c_31151,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31107,c_77]) ).
tcf(c_31152,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31107,c_71]) ).
tcf(c_31153,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31107,c_909]) ).
tcf(c_31154,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31107,c_76]) ).
tcf(c_31155,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31107,c_70]) ).
tcf(c_31156,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))),sdtasdt0(xa,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_74]) ).
tcf(c_31157,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),smndt0(sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_73]) ).
tcf(c_31158,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xa))) = sdtasdt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_31107,c_63]) ).
tcf(c_31159,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xa)),sz00) = sdtasdt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_31107,c_62]) ).
tcf(c_31160,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_61]) ).
tcf(c_31161,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_31107,c_60]) ).
tcf(c_31192,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xa,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3509,c_78]) ).
tcf(c_31193,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_31192,c_49,c_3508]) ).
tcf(c_31194,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_5998]) ).
tcf(c_31195,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31193,c_5844]) ).
tcf(c_31196,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_4849]) ).
tcf(c_31197,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_4744]) ).
tcf(c_31198,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_4587]) ).
tcf(c_31199,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_4303]) ).
tcf(c_31200,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_3754]) ).
tcf(c_31201,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_3178]) ).
tcf(c_31202,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_3124]) ).
tcf(c_31203,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_3080]) ).
tcf(c_31204,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_2851]) ).
tcf(c_31205,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_2623]) ).
tcf(c_31206,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_2294]) ).
tcf(c_31207,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_1883]) ).
tcf(c_31208,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_1835]) ).
tcf(c_31209,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31193,c_1774]) ).
tcf(c_31210,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_5023]) ).
tcf(c_31211,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31193,c_4917]) ).
tcf(c_31212,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_1038]) ).
tcf(c_31213,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_1004]) ).
tcf(c_31214,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_1582]) ).
tcf(c_31215,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31193,c_1264]) ).
tcf(c_31216,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1187]) ).
tcf(c_31217,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1186]) ).
tcf(c_31218,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1185]) ).
tcf(c_31219,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1184]) ).
tcf(c_31220,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1183]) ).
tcf(c_31221,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1182]) ).
tcf(c_31222,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1120]) ).
tcf(c_31223,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1119]) ).
tcf(c_31224,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1118]) ).
tcf(c_31225,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1117]) ).
tcf(c_31226,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1116]) ).
tcf(c_31227,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_1115]) ).
tcf(c_31228,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))) = smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_951]) ).
tcf(c_31229,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31193,c_937]) ).
tcf(c_31230,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31193,c_69]) ).
tcf(c_31231,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_923]) ).
tcf(c_31232,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31193,c_68]) ).
tcf(c_31233,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31193,c_77]) ).
tcf(c_31234,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31193,c_71]) ).
tcf(c_31235,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31193,c_909]) ).
tcf(c_31236,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31193,c_76]) ).
tcf(c_31237,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31193,c_70]) ).
tcf(c_31238,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))),sdtpldt0(xa,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_74]) ).
tcf(c_31239,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),smndt0(sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_73]) ).
tcf(c_31240,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xm))) = sdtpldt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31193,c_63]) ).
tcf(c_31241,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xa,xm)),sz00) = sdtpldt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31193,c_62]) ).
tcf(c_31242,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_61]) ).
tcf(c_31243,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_31193,c_60]) ).
tcf(c_31459,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_7828]) ).
tcf(c_31460,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31459,c_49]) ).
tcf(c_31468,plain,
( ( sz00 = xm )
| ( sdtpldt0(xa,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,xm))
| ( sdtasdt0(xm,sdtpldt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3511,c_59]) ).
tcf(c_31469,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xa,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3511,c_72]) ).
tcf(c_31470,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_31469,c_56,c_3508]) ).
tcf(c_31471,plain,
( ( sz00 = xm )
| ( sdtpldt0(xa,xm) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31468,c_56,c_3508]) ).
tcf(c_31475,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_5998]) ).
tcf(c_31476,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31470,c_5844]) ).
tcf(c_31477,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_4849]) ).
tcf(c_31478,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_4744]) ).
tcf(c_31479,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_4587]) ).
tcf(c_31480,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_4303]) ).
tcf(c_31481,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_3754]) ).
tcf(c_31482,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_3178]) ).
tcf(c_31483,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_3124]) ).
tcf(c_31484,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_3080]) ).
tcf(c_31485,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_2851]) ).
tcf(c_31486,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_2623]) ).
tcf(c_31487,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_2294]) ).
tcf(c_31488,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_1883]) ).
tcf(c_31489,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_1835]) ).
tcf(c_31490,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31470,c_1774]) ).
tcf(c_31491,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_5023]) ).
tcf(c_31492,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31470,c_4917]) ).
tcf(c_31493,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_1038]) ).
tcf(c_31494,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_1004]) ).
tcf(c_31495,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_1582]) ).
tcf(c_31496,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31470,c_1264]) ).
tcf(c_31497,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1187]) ).
tcf(c_31498,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1186]) ).
tcf(c_31499,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1185]) ).
tcf(c_31500,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1184]) ).
tcf(c_31501,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1183]) ).
tcf(c_31502,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1182]) ).
tcf(c_31503,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1120]) ).
tcf(c_31504,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1119]) ).
tcf(c_31505,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1118]) ).
tcf(c_31506,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1117]) ).
tcf(c_31507,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1116]) ).
tcf(c_31508,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_1115]) ).
tcf(c_31509,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))) = smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_951]) ).
tcf(c_31510,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31470,c_937]) ).
tcf(c_31511,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31470,c_69]) ).
tcf(c_31512,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_923]) ).
tcf(c_31513,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31470,c_68]) ).
tcf(c_31514,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31470,c_77]) ).
tcf(c_31515,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31470,c_71]) ).
tcf(c_31516,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31470,c_909]) ).
tcf(c_31517,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31470,c_76]) ).
tcf(c_31518,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31470,c_70]) ).
tcf(c_31519,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))),sdtasdt0(xm,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_74]) ).
tcf(c_31520,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),smndt0(sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_73]) ).
tcf(c_31521,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xm))) = sdtasdt0(xm,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31470,c_63]) ).
tcf(c_31522,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xa,xm)),sz00) = sdtasdt0(xm,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31470,c_62]) ).
tcf(c_31523,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_61]) ).
tcf(c_31524,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_31470,c_60]) ).
tcf(c_31574,plain,
( ( sz00 = xq )
| ( sdtpldt0(xa,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,xm))
| ( sdtasdt0(xq,sdtpldt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3512,c_59]) ).
tcf(c_31575,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xa,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3512,c_72]) ).
tcf(c_31576,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_31575,c_53,c_3508]) ).
tcf(c_31577,plain,
( ( sdtpldt0(xa,xm) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31574,c_54,c_53,c_3508]) ).
tcf(c_31580,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_5998]) ).
tcf(c_31581,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31576,c_5844]) ).
tcf(c_31582,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_4849]) ).
tcf(c_31583,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_4744]) ).
tcf(c_31584,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_4587]) ).
tcf(c_31585,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_4303]) ).
tcf(c_31586,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_3754]) ).
tcf(c_31587,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_3178]) ).
tcf(c_31588,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_3124]) ).
tcf(c_31589,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_3080]) ).
tcf(c_31590,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_2851]) ).
tcf(c_31591,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_2623]) ).
tcf(c_31592,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_2294]) ).
tcf(c_31593,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_1883]) ).
tcf(c_31594,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_1835]) ).
tcf(c_31595,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31576,c_1774]) ).
tcf(c_31596,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_5023]) ).
tcf(c_31597,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31576,c_4917]) ).
tcf(c_31598,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_1038]) ).
tcf(c_31599,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_1004]) ).
tcf(c_31600,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_1582]) ).
tcf(c_31601,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31576,c_1264]) ).
tcf(c_31602,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1187]) ).
tcf(c_31603,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1186]) ).
tcf(c_31604,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1185]) ).
tcf(c_31605,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1184]) ).
tcf(c_31606,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1183]) ).
tcf(c_31607,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1182]) ).
tcf(c_31608,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1120]) ).
tcf(c_31609,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1119]) ).
tcf(c_31610,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1118]) ).
tcf(c_31611,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1117]) ).
tcf(c_31612,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1116]) ).
tcf(c_31613,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_1115]) ).
tcf(c_31614,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))) = smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_951]) ).
tcf(c_31615,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31576,c_937]) ).
tcf(c_31616,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31576,c_69]) ).
tcf(c_31617,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_923]) ).
tcf(c_31618,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31576,c_68]) ).
tcf(c_31619,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31576,c_77]) ).
tcf(c_31620,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31576,c_71]) ).
tcf(c_31621,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31576,c_909]) ).
tcf(c_31622,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31576,c_76]) ).
tcf(c_31623,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31576,c_70]) ).
tcf(c_31624,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))),sdtasdt0(xq,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_74]) ).
tcf(c_31625,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),smndt0(sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_73]) ).
tcf(c_31626,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xm))) = sdtasdt0(xq,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31576,c_63]) ).
tcf(c_31627,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xa,xm)),sz00) = sdtasdt0(xq,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31576,c_62]) ).
tcf(c_31628,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_61]) ).
tcf(c_31629,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_31576,c_60]) ).
tcf(c_31694,plain,
( ( xp = sz00 )
| ( sdtpldt0(xa,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,xm))
| ( sdtasdt0(xp,sdtpldt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3513,c_59]) ).
tcf(c_31695,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xa,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3513,c_72]) ).
tcf(c_31696,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_31695,c_51,c_3508]) ).
tcf(c_31697,plain,
( ( sdtpldt0(xa,xm) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31694,c_52,c_51,c_3508]) ).
tcf(c_31702,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_5998]) ).
tcf(c_31703,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31696,c_5844]) ).
tcf(c_31704,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_4849]) ).
tcf(c_31705,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_4744]) ).
tcf(c_31706,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_4587]) ).
tcf(c_31707,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_4303]) ).
tcf(c_31708,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_3754]) ).
tcf(c_31709,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_3178]) ).
tcf(c_31710,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_3124]) ).
tcf(c_31711,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_3080]) ).
tcf(c_31712,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_2851]) ).
tcf(c_31713,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_2623]) ).
tcf(c_31714,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_2294]) ).
tcf(c_31715,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_1883]) ).
tcf(c_31716,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_1835]) ).
tcf(c_31717,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31696,c_1774]) ).
tcf(c_31718,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_5023]) ).
tcf(c_31719,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31696,c_4917]) ).
tcf(c_31720,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_1038]) ).
tcf(c_31721,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_1004]) ).
tcf(c_31722,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_1582]) ).
tcf(c_31723,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31696,c_1264]) ).
tcf(c_31724,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1187]) ).
tcf(c_31725,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1186]) ).
tcf(c_31726,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1185]) ).
tcf(c_31727,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1184]) ).
tcf(c_31728,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1183]) ).
tcf(c_31729,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1182]) ).
tcf(c_31730,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1120]) ).
tcf(c_31731,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1119]) ).
tcf(c_31732,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1118]) ).
tcf(c_31733,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1117]) ).
tcf(c_31734,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1116]) ).
tcf(c_31735,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_1115]) ).
tcf(c_31736,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))) = smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_951]) ).
tcf(c_31737,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31696,c_937]) ).
tcf(c_31738,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31696,c_69]) ).
tcf(c_31739,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_923]) ).
tcf(c_31740,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31696,c_68]) ).
tcf(c_31741,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31696,c_77]) ).
tcf(c_31742,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31696,c_71]) ).
tcf(c_31743,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31696,c_909]) ).
tcf(c_31744,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31696,c_76]) ).
tcf(c_31745,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31696,c_70]) ).
tcf(c_31746,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))),sdtasdt0(xp,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_74]) ).
tcf(c_31747,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),smndt0(sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_73]) ).
tcf(c_31748,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xm))) = sdtasdt0(xp,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31696,c_63]) ).
tcf(c_31749,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xa,xm)),sz00) = sdtasdt0(xp,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31696,c_62]) ).
tcf(c_31750,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_61]) ).
tcf(c_31751,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_31696,c_60]) ).
tcf(c_31987,plain,
( ( xb = sz00 )
| ( sdtpldt0(xa,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,xm))
| ( sdtasdt0(xb,sdtpldt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3514,c_59]) ).
tcf(c_31988,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xa,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3514,c_72]) ).
tcf(c_31989,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_31988,c_50,c_3508]) ).
tcf(c_31990,plain,
( ( xb = sz00 )
| ( sdtpldt0(xa,xm) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31987,c_50,c_3508]) ).
tcf(c_31994,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_5998]) ).
tcf(c_31995,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31989,c_5844]) ).
tcf(c_31996,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_4849]) ).
tcf(c_31997,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_4744]) ).
tcf(c_31998,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_4587]) ).
tcf(c_31999,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_4303]) ).
tcf(c_32000,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_3754]) ).
tcf(c_32001,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_3178]) ).
tcf(c_32002,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_3124]) ).
tcf(c_32003,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_3080]) ).
tcf(c_32004,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_2851]) ).
tcf(c_32005,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_2623]) ).
tcf(c_32006,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_2294]) ).
tcf(c_32007,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_1883]) ).
tcf(c_32008,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_1835]) ).
tcf(c_32009,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_31989,c_1774]) ).
tcf(c_32010,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_5023]) ).
tcf(c_32011,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31989,c_4917]) ).
tcf(c_32012,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_1038]) ).
tcf(c_32013,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_1004]) ).
tcf(c_32014,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_1582]) ).
tcf(c_32015,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31989,c_1264]) ).
tcf(c_32016,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1187]) ).
tcf(c_32017,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1186]) ).
tcf(c_32018,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1185]) ).
tcf(c_32019,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1184]) ).
tcf(c_32020,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1183]) ).
tcf(c_32021,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1182]) ).
tcf(c_32022,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1120]) ).
tcf(c_32023,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1119]) ).
tcf(c_32024,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1118]) ).
tcf(c_32025,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1117]) ).
tcf(c_32026,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1116]) ).
tcf(c_32027,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_1115]) ).
tcf(c_32028,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))) = smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_951]) ).
tcf(c_32029,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_31989,c_937]) ).
tcf(c_32030,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31989,c_69]) ).
tcf(c_32031,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_923]) ).
tcf(c_32032,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31989,c_68]) ).
tcf(c_32033,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31989,c_77]) ).
tcf(c_32034,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31989,c_71]) ).
tcf(c_32035,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31989,c_909]) ).
tcf(c_32036,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31989,c_76]) ).
tcf(c_32037,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31989,c_70]) ).
tcf(c_32038,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))),sdtasdt0(xb,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_74]) ).
tcf(c_32039,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),smndt0(sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_73]) ).
tcf(c_32040,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xm))) = sdtasdt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31989,c_63]) ).
tcf(c_32041,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xa,xm)),sz00) = sdtasdt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_31989,c_62]) ).
tcf(c_32042,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_61]) ).
tcf(c_32043,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_31989,c_60]) ).
tcf(c_32114,plain,
( ( xa = sz00 )
| ( sdtpldt0(xa,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,xm))
| ( sdtasdt0(xa,sdtpldt0(xa,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3515,c_59]) ).
tcf(c_32115,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xa,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3515,c_72]) ).
tcf(c_32116,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_32115,c_49,c_3508]) ).
tcf(c_32117,plain,
( ( xa = sz00 )
| ( sdtpldt0(xa,xm) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32114,c_49,c_3508]) ).
tcf(c_32122,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_5998]) ).
tcf(c_32123,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32116,c_5844]) ).
tcf(c_32124,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_4849]) ).
tcf(c_32125,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_4744]) ).
tcf(c_32126,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_4587]) ).
tcf(c_32127,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_4303]) ).
tcf(c_32128,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_3754]) ).
tcf(c_32129,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_3178]) ).
tcf(c_32130,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_3124]) ).
tcf(c_32131,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_3080]) ).
tcf(c_32132,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_2851]) ).
tcf(c_32133,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_2623]) ).
tcf(c_32134,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_2294]) ).
tcf(c_32135,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_1883]) ).
tcf(c_32136,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_1835]) ).
tcf(c_32137,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_32116,c_1774]) ).
tcf(c_32138,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_5023]) ).
tcf(c_32139,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32116,c_4917]) ).
tcf(c_32140,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_1038]) ).
tcf(c_32141,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_1004]) ).
tcf(c_32142,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_1582]) ).
tcf(c_32143,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32116,c_1264]) ).
tcf(c_32144,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1187]) ).
tcf(c_32145,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1186]) ).
tcf(c_32146,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1185]) ).
tcf(c_32147,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1184]) ).
tcf(c_32148,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1183]) ).
tcf(c_32149,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1182]) ).
tcf(c_32150,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1120]) ).
tcf(c_32151,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1119]) ).
tcf(c_32152,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1118]) ).
tcf(c_32153,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1117]) ).
tcf(c_32154,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1116]) ).
tcf(c_32155,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_1115]) ).
tcf(c_32156,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))) = smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_951]) ).
tcf(c_32157,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_32116,c_937]) ).
tcf(c_32158,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32116,c_69]) ).
tcf(c_32159,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_923]) ).
tcf(c_32160,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32116,c_68]) ).
tcf(c_32161,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32116,c_77]) ).
tcf(c_32162,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32116,c_71]) ).
tcf(c_32163,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32116,c_909]) ).
tcf(c_32164,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32116,c_76]) ).
tcf(c_32165,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32116,c_70]) ).
tcf(c_32166,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))),sdtasdt0(xa,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_74]) ).
tcf(c_32167,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),smndt0(sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_73]) ).
tcf(c_32168,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xm))) = sdtasdt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_32116,c_63]) ).
tcf(c_32169,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xa,xm)),sz00) = sdtasdt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_32116,c_62]) ).
tcf(c_32170,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_61]) ).
tcf(c_32171,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_32116,c_60]) ).
tcf(c_32402,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xp,xq)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_3757,c_78]) ).
tcf(c_32403,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_32402,c_50,c_2661]) ).
tcf(c_32404,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_5998]) ).
tcf(c_32405,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32403,c_5844]) ).
tcf(c_32406,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_4849]) ).
tcf(c_32407,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_4744]) ).
tcf(c_32408,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_4587]) ).
tcf(c_32409,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_4303]) ).
tcf(c_32410,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_3754]) ).
tcf(c_32411,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_3178]) ).
tcf(c_32412,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_3124]) ).
tcf(c_32413,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_3080]) ).
tcf(c_32414,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_2851]) ).
tcf(c_32415,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_2623]) ).
tcf(c_32416,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_2294]) ).
tcf(c_32417,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_1883]) ).
tcf(c_32418,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_1835]) ).
tcf(c_32419,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_32403,c_1774]) ).
tcf(c_32420,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_5023]) ).
tcf(c_32421,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32403,c_4917]) ).
tcf(c_32422,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_1038]) ).
tcf(c_32423,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_1004]) ).
tcf(c_32424,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_1582]) ).
tcf(c_32425,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32403,c_1264]) ).
tcf(c_32426,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1187]) ).
tcf(c_32427,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1186]) ).
tcf(c_32428,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1185]) ).
tcf(c_32429,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1184]) ).
tcf(c_32430,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1183]) ).
tcf(c_32431,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1182]) ).
tcf(c_32432,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1120]) ).
tcf(c_32433,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1119]) ).
tcf(c_32434,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1118]) ).
tcf(c_32435,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1117]) ).
tcf(c_32436,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1116]) ).
tcf(c_32437,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_1115]) ).
tcf(c_32438,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_951]) ).
tcf(c_32439,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_32403,c_937]) ).
tcf(c_32440,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32403,c_69]) ).
tcf(c_32441,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_923]) ).
tcf(c_32442,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32403,c_68]) ).
tcf(c_32443,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32403,c_77]) ).
tcf(c_32444,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32403,c_71]) ).
tcf(c_32445,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32403,c_909]) ).
tcf(c_32446,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32403,c_76]) ).
tcf(c_32447,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32403,c_70]) ).
tcf(c_32448,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))),sdtpldt0(xb,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_74]) ).
tcf(c_32449,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),smndt0(sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_73]) ).
tcf(c_32450,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xq))) = sdtpldt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_32403,c_63]) ).
tcf(c_32451,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xq)),sz00) = sdtpldt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_32403,c_62]) ).
tcf(c_32452,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_61]) ).
tcf(c_32453,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_32403,c_60]) ).
tcf(c_32503,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xp,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3758,c_78]) ).
tcf(c_32504,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_32503,c_50,c_1975]) ).
tcf(c_32532,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_5998]) ).
tcf(c_32533,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32504,c_5844]) ).
tcf(c_32534,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_4849]) ).
tcf(c_32535,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_4744]) ).
tcf(c_32536,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_4587]) ).
tcf(c_32537,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_4303]) ).
tcf(c_32538,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_3754]) ).
tcf(c_32539,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_3178]) ).
tcf(c_32540,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_3124]) ).
tcf(c_32541,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_3080]) ).
tcf(c_32542,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_2851]) ).
tcf(c_32543,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_2623]) ).
tcf(c_32544,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_2294]) ).
tcf(c_32545,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_1883]) ).
tcf(c_32546,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_1835]) ).
tcf(c_32547,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_32504,c_1774]) ).
tcf(c_32548,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_5023]) ).
tcf(c_32549,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32504,c_4917]) ).
tcf(c_32550,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_1038]) ).
tcf(c_32551,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_1004]) ).
tcf(c_32552,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_1582]) ).
tcf(c_32553,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32504,c_1264]) ).
tcf(c_32554,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1187]) ).
tcf(c_32555,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1186]) ).
tcf(c_32556,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1185]) ).
tcf(c_32557,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1184]) ).
tcf(c_32558,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1183]) ).
tcf(c_32559,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1182]) ).
tcf(c_32560,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1120]) ).
tcf(c_32561,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1119]) ).
tcf(c_32562,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1118]) ).
tcf(c_32563,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1117]) ).
tcf(c_32564,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1116]) ).
tcf(c_32565,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_1115]) ).
tcf(c_32566,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_951]) ).
tcf(c_32567,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_32504,c_937]) ).
tcf(c_32568,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32504,c_69]) ).
tcf(c_32569,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_923]) ).
tcf(c_32570,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32504,c_68]) ).
tcf(c_32571,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32504,c_77]) ).
tcf(c_32572,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32504,c_71]) ).
tcf(c_32573,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32504,c_909]) ).
tcf(c_32574,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32504,c_76]) ).
tcf(c_32575,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32504,c_70]) ).
tcf(c_32576,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))),sdtpldt0(xb,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_74]) ).
tcf(c_32577,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),smndt0(sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_73]) ).
tcf(c_32578,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xa))) = sdtpldt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_32504,c_63]) ).
tcf(c_32579,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xa)),sz00) = sdtpldt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_32504,c_62]) ).
tcf(c_32580,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_61]) ).
tcf(c_32581,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_32504,c_60]) ).
tcf(c_32632,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xa,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3759,c_78]) ).
tcf(c_32633,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_32632,c_50,c_1914]) ).
tcf(c_32634,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_5998]) ).
tcf(c_32635,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32633,c_5844]) ).
tcf(c_32636,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_4849]) ).
tcf(c_32637,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_4744]) ).
tcf(c_32638,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_4587]) ).
tcf(c_32639,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_4303]) ).
tcf(c_32640,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_3754]) ).
tcf(c_32641,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_3178]) ).
tcf(c_32642,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_3124]) ).
tcf(c_32643,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_3080]) ).
tcf(c_32644,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_2851]) ).
tcf(c_32645,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_2623]) ).
tcf(c_32646,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_2294]) ).
tcf(c_32647,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_1883]) ).
tcf(c_32648,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_1835]) ).
tcf(c_32649,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_32633,c_1774]) ).
tcf(c_32650,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_5023]) ).
tcf(c_32651,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32633,c_4917]) ).
tcf(c_32652,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_1038]) ).
tcf(c_32653,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_1004]) ).
tcf(c_32654,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_1582]) ).
tcf(c_32655,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32633,c_1264]) ).
tcf(c_32656,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1187]) ).
tcf(c_32657,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1186]) ).
tcf(c_32658,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1185]) ).
tcf(c_32659,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1184]) ).
tcf(c_32660,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1183]) ).
tcf(c_32661,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1182]) ).
tcf(c_32662,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1120]) ).
tcf(c_32663,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1119]) ).
tcf(c_32664,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1118]) ).
tcf(c_32665,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1117]) ).
tcf(c_32666,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1116]) ).
tcf(c_32667,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_1115]) ).
tcf(c_32668,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))) = smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_951]) ).
tcf(c_32669,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_32633,c_937]) ).
tcf(c_32670,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32633,c_69]) ).
tcf(c_32671,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_923]) ).
tcf(c_32672,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32633,c_68]) ).
tcf(c_32673,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32633,c_77]) ).
tcf(c_32674,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32633,c_71]) ).
tcf(c_32675,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32633,c_909]) ).
tcf(c_32676,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32633,c_76]) ).
tcf(c_32677,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32633,c_70]) ).
tcf(c_32678,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))),sdtpldt0(xb,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_74]) ).
tcf(c_32679,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),smndt0(sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_73]) ).
tcf(c_32680,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xb))) = sdtpldt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_32633,c_63]) ).
tcf(c_32681,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xb)),sz00) = sdtpldt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_32633,c_62]) ).
tcf(c_32682,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_61]) ).
tcf(c_32683,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_32633,c_60]) ).
tcf(c_32895,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xq,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3760,c_78]) ).
tcf(c_32896,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_32895,c_50,c_2091]) ).
tcf(c_32897,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_5998]) ).
tcf(c_32898,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32896,c_5844]) ).
tcf(c_32899,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_4849]) ).
tcf(c_32900,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_4744]) ).
tcf(c_32901,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_4587]) ).
tcf(c_32902,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_4303]) ).
tcf(c_32903,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_3754]) ).
tcf(c_32904,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_3178]) ).
tcf(c_32905,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_3124]) ).
tcf(c_32906,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_3080]) ).
tcf(c_32907,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_2851]) ).
tcf(c_32908,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_2623]) ).
tcf(c_32909,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_2294]) ).
tcf(c_32910,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_1883]) ).
tcf(c_32911,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_1835]) ).
tcf(c_32912,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_32896,c_1774]) ).
tcf(c_32913,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_5023]) ).
tcf(c_32914,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32896,c_4917]) ).
tcf(c_32915,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_1038]) ).
tcf(c_32916,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_1004]) ).
tcf(c_32917,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_1582]) ).
tcf(c_32918,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32896,c_1264]) ).
tcf(c_32919,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1187]) ).
tcf(c_32920,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1186]) ).
tcf(c_32921,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1185]) ).
tcf(c_32922,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1184]) ).
tcf(c_32923,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1183]) ).
tcf(c_32924,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1182]) ).
tcf(c_32925,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1120]) ).
tcf(c_32926,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1119]) ).
tcf(c_32927,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1118]) ).
tcf(c_32928,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1117]) ).
tcf(c_32929,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1116]) ).
tcf(c_32930,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_1115]) ).
tcf(c_32931,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))) = smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_951]) ).
tcf(c_32932,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_32896,c_937]) ).
tcf(c_32933,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32896,c_69]) ).
tcf(c_32934,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_923]) ).
tcf(c_32935,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32896,c_68]) ).
tcf(c_32936,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32896,c_77]) ).
tcf(c_32937,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32896,c_71]) ).
tcf(c_32938,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32896,c_909]) ).
tcf(c_32939,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32896,c_76]) ).
tcf(c_32940,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32896,c_70]) ).
tcf(c_32941,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))),sdtpldt0(xb,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_74]) ).
tcf(c_32942,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),smndt0(sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_73]) ).
tcf(c_32943,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xa))) = sdtpldt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_32896,c_63]) ).
tcf(c_32944,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xa)),sz00) = sdtpldt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_32896,c_62]) ).
tcf(c_32945,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_61]) ).
tcf(c_32946,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_32896,c_60]) ).
tcf(c_33013,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_3601,c_78]) ).
tcf(c_33014,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_33013,c_49,c_3596]) ).
tcf(c_33015,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_5998]) ).
tcf(c_33016,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33014,c_5844]) ).
tcf(c_33017,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_4849]) ).
tcf(c_33018,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_4744]) ).
tcf(c_33019,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_4587]) ).
tcf(c_33020,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_4303]) ).
tcf(c_33021,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_3754]) ).
tcf(c_33022,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_3178]) ).
tcf(c_33023,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_3124]) ).
tcf(c_33024,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_3080]) ).
tcf(c_33025,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_2851]) ).
tcf(c_33026,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_2623]) ).
tcf(c_33027,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_2294]) ).
tcf(c_33028,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_1883]) ).
tcf(c_33029,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_1835]) ).
tcf(c_33030,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33014,c_1774]) ).
tcf(c_33031,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_5023]) ).
tcf(c_33032,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33014,c_4917]) ).
tcf(c_33033,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_1038]) ).
tcf(c_33034,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_1004]) ).
tcf(c_33035,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_1582]) ).
tcf(c_33036,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33014,c_1264]) ).
tcf(c_33037,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1187]) ).
tcf(c_33038,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1186]) ).
tcf(c_33039,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1185]) ).
tcf(c_33040,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1184]) ).
tcf(c_33041,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1183]) ).
tcf(c_33042,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1182]) ).
tcf(c_33043,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1120]) ).
tcf(c_33044,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1119]) ).
tcf(c_33045,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1118]) ).
tcf(c_33046,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1117]) ).
tcf(c_33047,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1116]) ).
tcf(c_33048,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_1115]) ).
tcf(c_33049,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_951]) ).
tcf(c_33050,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33014,c_937]) ).
tcf(c_33051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33014,c_69]) ).
tcf(c_33052,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_923]) ).
tcf(c_33053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33014,c_68]) ).
tcf(c_33054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33014,c_77]) ).
tcf(c_33055,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33014,c_71]) ).
tcf(c_33056,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33014,c_909]) ).
tcf(c_33057,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33014,c_76]) ).
tcf(c_33058,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33014,c_70]) ).
tcf(c_33059,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_74]) ).
tcf(c_33060,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_73]) ).
tcf(c_33061,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_33014,c_63]) ).
tcf(c_33062,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_33014,c_62]) ).
tcf(c_33063,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_61]) ).
tcf(c_33064,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33014,c_60]) ).
tcf(c_33131,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_8115]) ).
tcf(c_33132,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_33131,c_51]) ).
tcf(c_33139,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_8116]) ).
tcf(c_33140,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_33139,c_51]) ).
tcf(c_33147,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xa,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3761,c_78]) ).
tcf(c_33148,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_33147,c_50,c_2166]) ).
tcf(c_33149,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_5998]) ).
tcf(c_33150,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33148,c_5844]) ).
tcf(c_33151,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_4849]) ).
tcf(c_33152,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_4744]) ).
tcf(c_33153,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_4587]) ).
tcf(c_33154,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_4303]) ).
tcf(c_33155,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_3754]) ).
tcf(c_33156,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_3178]) ).
tcf(c_33157,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_3124]) ).
tcf(c_33158,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_3080]) ).
tcf(c_33159,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_2851]) ).
tcf(c_33160,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_2623]) ).
tcf(c_33161,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_2294]) ).
tcf(c_33162,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_1883]) ).
tcf(c_33163,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_1835]) ).
tcf(c_33164,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_33148,c_1774]) ).
tcf(c_33165,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_5023]) ).
tcf(c_33166,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33148,c_4917]) ).
tcf(c_33167,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_1038]) ).
tcf(c_33168,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_1004]) ).
tcf(c_33169,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_1582]) ).
tcf(c_33170,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33148,c_1264]) ).
tcf(c_33171,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1187]) ).
tcf(c_33172,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1186]) ).
tcf(c_33173,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1185]) ).
tcf(c_33174,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1184]) ).
tcf(c_33175,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1183]) ).
tcf(c_33176,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1182]) ).
tcf(c_33177,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1120]) ).
tcf(c_33178,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1119]) ).
tcf(c_33179,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1118]) ).
tcf(c_33180,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1117]) ).
tcf(c_33181,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1116]) ).
tcf(c_33182,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_1115]) ).
tcf(c_33183,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))) = smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_951]) ).
tcf(c_33184,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_33148,c_937]) ).
tcf(c_33185,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33148,c_69]) ).
tcf(c_33186,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_923]) ).
tcf(c_33187,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33148,c_68]) ).
tcf(c_33188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33148,c_77]) ).
tcf(c_33189,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33148,c_71]) ).
tcf(c_33190,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33148,c_909]) ).
tcf(c_33191,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33148,c_76]) ).
tcf(c_33192,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33148,c_70]) ).
tcf(c_33193,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))),sdtpldt0(xb,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_74]) ).
tcf(c_33194,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),smndt0(sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_73]) ).
tcf(c_33195,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xm))) = sdtpldt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_33148,c_63]) ).
tcf(c_33196,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,xm)),sz00) = sdtpldt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_33148,c_62]) ).
tcf(c_33197,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_61]) ).
tcf(c_33198,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_33148,c_60]) ).
tcf(c_33311,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xp,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3762,c_78]) ).
tcf(c_33312,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_33311,c_50,c_2315]) ).
tcf(c_33313,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_5998]) ).
tcf(c_33314,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33312,c_5844]) ).
tcf(c_33315,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_4849]) ).
tcf(c_33316,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_4744]) ).
tcf(c_33317,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_4587]) ).
tcf(c_33318,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_4303]) ).
tcf(c_33319,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_3754]) ).
tcf(c_33320,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_3178]) ).
tcf(c_33321,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_3124]) ).
tcf(c_33322,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_3080]) ).
tcf(c_33323,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_2851]) ).
tcf(c_33324,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_2623]) ).
tcf(c_33325,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_2294]) ).
tcf(c_33326,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_1883]) ).
tcf(c_33327,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_1835]) ).
tcf(c_33328,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_33312,c_1774]) ).
tcf(c_33329,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_5023]) ).
tcf(c_33330,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33312,c_4917]) ).
tcf(c_33331,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_1038]) ).
tcf(c_33332,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_1004]) ).
tcf(c_33333,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_1582]) ).
tcf(c_33334,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33312,c_1264]) ).
tcf(c_33335,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1187]) ).
tcf(c_33336,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1186]) ).
tcf(c_33337,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1185]) ).
tcf(c_33338,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1184]) ).
tcf(c_33339,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1183]) ).
tcf(c_33340,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1182]) ).
tcf(c_33341,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1120]) ).
tcf(c_33342,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1119]) ).
tcf(c_33343,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1118]) ).
tcf(c_33344,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1117]) ).
tcf(c_33345,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1116]) ).
tcf(c_33346,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_1115]) ).
tcf(c_33347,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_951]) ).
tcf(c_33348,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_33312,c_937]) ).
tcf(c_33349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33312,c_69]) ).
tcf(c_33350,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_923]) ).
tcf(c_33351,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33312,c_68]) ).
tcf(c_33352,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33312,c_77]) ).
tcf(c_33353,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33312,c_71]) ).
tcf(c_33354,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33312,c_909]) ).
tcf(c_33355,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33312,c_76]) ).
tcf(c_33356,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33312,c_70]) ).
tcf(c_33357,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))),sdtpldt0(xb,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_74]) ).
tcf(c_33358,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),smndt0(sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_73]) ).
tcf(c_33359,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xb))) = sdtpldt0(xb,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_33312,c_63]) ).
tcf(c_33360,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xb)),sz00) = sdtpldt0(xb,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_33312,c_62]) ).
tcf(c_33361,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_61]) ).
tcf(c_33362,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_33312,c_60]) ).
tcf(c_33413,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_8344]) ).
tcf(c_33414,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_33413,c_53]) ).
tcf(c_33421,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_8345]) ).
tcf(c_33422,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_33421,c_53]) ).
tcf(c_33429,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xq,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3763,c_78]) ).
tcf(c_33430,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_33429,c_50,c_2420]) ).
tcf(c_33431,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_5998]) ).
tcf(c_33432,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33430,c_5844]) ).
tcf(c_33433,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_4849]) ).
tcf(c_33434,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_4744]) ).
tcf(c_33435,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_4587]) ).
tcf(c_33436,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_4303]) ).
tcf(c_33437,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_3754]) ).
tcf(c_33438,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_3178]) ).
tcf(c_33439,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_3124]) ).
tcf(c_33440,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_3080]) ).
tcf(c_33441,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_2851]) ).
tcf(c_33442,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_2623]) ).
tcf(c_33443,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_2294]) ).
tcf(c_33444,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_1883]) ).
tcf(c_33445,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_1835]) ).
tcf(c_33446,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_33430,c_1774]) ).
tcf(c_33447,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_5023]) ).
tcf(c_33448,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33430,c_4917]) ).
tcf(c_33449,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_1038]) ).
tcf(c_33450,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_1004]) ).
tcf(c_33451,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_1582]) ).
tcf(c_33452,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33430,c_1264]) ).
tcf(c_33453,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1187]) ).
tcf(c_33454,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1186]) ).
tcf(c_33455,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1185]) ).
tcf(c_33456,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1184]) ).
tcf(c_33457,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1183]) ).
tcf(c_33458,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1182]) ).
tcf(c_33459,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1120]) ).
tcf(c_33460,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1119]) ).
tcf(c_33461,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1118]) ).
tcf(c_33462,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1117]) ).
tcf(c_33463,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1116]) ).
tcf(c_33464,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_1115]) ).
tcf(c_33465,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))) = smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_951]) ).
tcf(c_33466,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_33430,c_937]) ).
tcf(c_33467,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33430,c_69]) ).
tcf(c_33468,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_923]) ).
tcf(c_33469,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33430,c_68]) ).
tcf(c_33470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33430,c_77]) ).
tcf(c_33471,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33430,c_71]) ).
tcf(c_33472,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33430,c_909]) ).
tcf(c_33473,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33430,c_76]) ).
tcf(c_33474,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33430,c_70]) ).
tcf(c_33475,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))),sdtpldt0(xb,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_74]) ).
tcf(c_33476,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),smndt0(sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_73]) ).
tcf(c_33477,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xb))) = sdtpldt0(xb,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_33430,c_63]) ).
tcf(c_33478,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xb)),sz00) = sdtpldt0(xb,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_33430,c_62]) ).
tcf(c_33479,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_61]) ).
tcf(c_33480,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_33430,c_60]) ).
tcf(c_33551,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xb,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_3764,c_78]) ).
tcf(c_33552,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_33551,c_50,c_2484]) ).
tcf(c_33553,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_5998]) ).
tcf(c_33554,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33552,c_5844]) ).
tcf(c_33555,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_4849]) ).
tcf(c_33556,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_4744]) ).
tcf(c_33557,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_4587]) ).
tcf(c_33558,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_4303]) ).
tcf(c_33559,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_3754]) ).
tcf(c_33560,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_3178]) ).
tcf(c_33561,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_3124]) ).
tcf(c_33562,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_3080]) ).
tcf(c_33563,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_2851]) ).
tcf(c_33564,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_2623]) ).
tcf(c_33565,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_2294]) ).
tcf(c_33566,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_1883]) ).
tcf(c_33567,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_1835]) ).
tcf(c_33568,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_33552,c_1774]) ).
tcf(c_33569,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_5023]) ).
tcf(c_33570,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33552,c_4917]) ).
tcf(c_33571,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_1038]) ).
tcf(c_33572,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_1004]) ).
tcf(c_33573,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_1582]) ).
tcf(c_33574,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33552,c_1264]) ).
tcf(c_33575,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1187]) ).
tcf(c_33576,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1186]) ).
tcf(c_33577,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1185]) ).
tcf(c_33578,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1184]) ).
tcf(c_33579,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1183]) ).
tcf(c_33580,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1182]) ).
tcf(c_33581,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1120]) ).
tcf(c_33582,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1119]) ).
tcf(c_33583,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1118]) ).
tcf(c_33584,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1117]) ).
tcf(c_33585,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1116]) ).
tcf(c_33586,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_1115]) ).
tcf(c_33587,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))) = smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_951]) ).
tcf(c_33588,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_33552,c_937]) ).
tcf(c_33589,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33552,c_69]) ).
tcf(c_33590,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_923]) ).
tcf(c_33591,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33552,c_68]) ).
tcf(c_33592,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33552,c_77]) ).
tcf(c_33593,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33552,c_71]) ).
tcf(c_33594,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33552,c_909]) ).
tcf(c_33595,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33552,c_76]) ).
tcf(c_33596,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33552,c_70]) ).
tcf(c_33597,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))),sdtpldt0(xb,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_74]) ).
tcf(c_33598,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),smndt0(sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_73]) ).
tcf(c_33599,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xb,xm))) = sdtpldt0(xb,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_33552,c_63]) ).
tcf(c_33600,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xb,xm)),sz00) = sdtpldt0(xb,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_33552,c_62]) ).
tcf(c_33601,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_61]) ).
tcf(c_33602,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_33552,c_60]) ).
tcf(c_33700,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))
| ( sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3603,c_59]) ).
tcf(c_33701,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_3603,c_72]) ).
tcf(c_33702,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_33701,c_56,c_3596]) ).
tcf(c_33703,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33700,c_56,c_3596]) ).
tcf(c_33707,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_5998]) ).
tcf(c_33708,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33702,c_5844]) ).
tcf(c_33709,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_4849]) ).
tcf(c_33710,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_4744]) ).
tcf(c_33711,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_4587]) ).
tcf(c_33712,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_4303]) ).
tcf(c_33713,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_3754]) ).
tcf(c_33714,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_3178]) ).
tcf(c_33715,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_3124]) ).
tcf(c_33716,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_3080]) ).
tcf(c_33717,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_2851]) ).
tcf(c_33718,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_2623]) ).
tcf(c_33719,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_2294]) ).
tcf(c_33720,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_1883]) ).
tcf(c_33721,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_1835]) ).
tcf(c_33722,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_33702,c_1774]) ).
tcf(c_33723,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_5023]) ).
tcf(c_33724,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33702,c_4917]) ).
tcf(c_33725,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_1038]) ).
tcf(c_33726,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_1004]) ).
tcf(c_33727,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_1582]) ).
tcf(c_33728,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33702,c_1264]) ).
tcf(c_33729,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1187]) ).
tcf(c_33730,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1186]) ).
tcf(c_33731,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1185]) ).
tcf(c_33732,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1184]) ).
tcf(c_33733,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1183]) ).
tcf(c_33734,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1182]) ).
tcf(c_33735,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1120]) ).
tcf(c_33736,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1119]) ).
tcf(c_33737,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1118]) ).
tcf(c_33738,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1117]) ).
tcf(c_33739,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1116]) ).
tcf(c_33740,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_1115]) ).
tcf(c_33741,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_951]) ).
tcf(c_33742,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_33702,c_937]) ).
tcf(c_33743,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33702,c_69]) ).
tcf(c_33744,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_923]) ).
tcf(c_33745,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33702,c_68]) ).
tcf(c_33746,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33702,c_77]) ).
tcf(c_33747,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33702,c_71]) ).
tcf(c_33748,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33702,c_909]) ).
tcf(c_33749,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33702,c_76]) ).
tcf(c_33750,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33702,c_70]) ).
tcf(c_33751,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_74]) ).
tcf(c_33752,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_73]) ).
tcf(c_33753,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_33702,c_63]) ).
tcf(c_33754,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_33702,c_62]) ).
tcf(c_33755,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_61]) ).
tcf(c_33756,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33702,c_60]) ).
tcf(c_34045,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_8537]) ).
tcf(c_34046,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_34045,c_56]) ).
tcf(c_34053,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xp,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_3766,c_78]) ).
tcf(c_34054,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_34053,c_50,c_2753]) ).
tcf(c_34055,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_5998]) ).
tcf(c_34056,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34054,c_5844]) ).
tcf(c_34057,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_4849]) ).
tcf(c_34058,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_4744]) ).
tcf(c_34059,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_4587]) ).
tcf(c_34060,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_4303]) ).
tcf(c_34061,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_3754]) ).
tcf(c_34062,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_3178]) ).
tcf(c_34063,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_3124]) ).
tcf(c_34064,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_3080]) ).
tcf(c_34065,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_2851]) ).
tcf(c_34066,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_2623]) ).
tcf(c_34067,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_2294]) ).
tcf(c_34068,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_1883]) ).
tcf(c_34069,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_1835]) ).
tcf(c_34070,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_34054,c_1774]) ).
tcf(c_34071,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_5023]) ).
tcf(c_34072,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34054,c_4917]) ).
tcf(c_34073,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_1038]) ).
tcf(c_34074,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_1004]) ).
tcf(c_34075,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_1582]) ).
tcf(c_34076,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34054,c_1264]) ).
tcf(c_34077,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1187]) ).
tcf(c_34078,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1186]) ).
tcf(c_34079,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1185]) ).
tcf(c_34080,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1184]) ).
tcf(c_34081,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1183]) ).
tcf(c_34082,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1182]) ).
tcf(c_34083,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1120]) ).
tcf(c_34084,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1119]) ).
tcf(c_34085,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1118]) ).
tcf(c_34086,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1117]) ).
tcf(c_34087,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1116]) ).
tcf(c_34088,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_1115]) ).
tcf(c_34089,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_951]) ).
tcf(c_34090,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_34054,c_937]) ).
tcf(c_34091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34054,c_69]) ).
tcf(c_34092,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_923]) ).
tcf(c_34093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34054,c_68]) ).
tcf(c_34094,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34054,c_77]) ).
tcf(c_34095,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34054,c_71]) ).
tcf(c_34096,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34054,c_909]) ).
tcf(c_34097,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34054,c_76]) ).
tcf(c_34098,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34054,c_70]) ).
tcf(c_34099,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))),sdtpldt0(xb,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_74]) ).
tcf(c_34100,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),smndt0(sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_73]) ).
tcf(c_34101,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xm))) = sdtpldt0(xb,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_34054,c_63]) ).
tcf(c_34102,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xp,xm)),sz00) = sdtpldt0(xb,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_34054,c_62]) ).
tcf(c_34103,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_61]) ).
tcf(c_34104,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34054,c_60]) ).
tcf(c_34133,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xq,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_3767,c_78]) ).
tcf(c_34134,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_34133,c_50,c_2918]) ).
tcf(c_34135,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_5998]) ).
tcf(c_34136,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34134,c_5844]) ).
tcf(c_34137,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_4849]) ).
tcf(c_34138,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_4744]) ).
tcf(c_34139,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_4587]) ).
tcf(c_34140,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_4303]) ).
tcf(c_34141,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_3754]) ).
tcf(c_34142,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_3178]) ).
tcf(c_34143,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_3124]) ).
tcf(c_34144,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_3080]) ).
tcf(c_34145,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_2851]) ).
tcf(c_34146,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_2623]) ).
tcf(c_34147,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_2294]) ).
tcf(c_34148,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_1883]) ).
tcf(c_34149,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_1835]) ).
tcf(c_34150,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_34134,c_1774]) ).
tcf(c_34151,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_5023]) ).
tcf(c_34152,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34134,c_4917]) ).
tcf(c_34153,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_1038]) ).
tcf(c_34154,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_1004]) ).
tcf(c_34155,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_1582]) ).
tcf(c_34156,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34134,c_1264]) ).
tcf(c_34157,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1187]) ).
tcf(c_34158,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1186]) ).
tcf(c_34159,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1185]) ).
tcf(c_34160,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1184]) ).
tcf(c_34161,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1183]) ).
tcf(c_34162,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1182]) ).
tcf(c_34163,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1120]) ).
tcf(c_34164,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1119]) ).
tcf(c_34165,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1118]) ).
tcf(c_34166,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1117]) ).
tcf(c_34167,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1116]) ).
tcf(c_34168,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_1115]) ).
tcf(c_34169,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))) = smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_951]) ).
tcf(c_34170,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_34134,c_937]) ).
tcf(c_34171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34134,c_69]) ).
tcf(c_34172,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_923]) ).
tcf(c_34173,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34134,c_68]) ).
tcf(c_34174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34134,c_77]) ).
tcf(c_34175,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34134,c_71]) ).
tcf(c_34176,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34134,c_909]) ).
tcf(c_34177,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34134,c_76]) ).
tcf(c_34178,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34134,c_70]) ).
tcf(c_34179,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))),sdtpldt0(xb,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_74]) ).
tcf(c_34180,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),smndt0(sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_73]) ).
tcf(c_34181,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xm))) = sdtpldt0(xb,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_34134,c_63]) ).
tcf(c_34182,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xq,xm)),sz00) = sdtpldt0(xb,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_34134,c_62]) ).
tcf(c_34183,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_61]) ).
tcf(c_34184,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34134,c_60]) ).
tcf(c_34209,plain,
( ( sz00 = xq )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))
| ( sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3604,c_59]) ).
tcf(c_34210,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_3604,c_72]) ).
tcf(c_34211,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_34210,c_53,c_3596]) ).
tcf(c_34212,plain,
( ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34209,c_54,c_53,c_3596]) ).
tcf(c_34215,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_5998]) ).
tcf(c_34216,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34211,c_5844]) ).
tcf(c_34217,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_4849]) ).
tcf(c_34218,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_4744]) ).
tcf(c_34219,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_4587]) ).
tcf(c_34220,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_4303]) ).
tcf(c_34221,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_3754]) ).
tcf(c_34222,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_3178]) ).
tcf(c_34223,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_3124]) ).
tcf(c_34224,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_3080]) ).
tcf(c_34225,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_2851]) ).
tcf(c_34226,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_2623]) ).
tcf(c_34227,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_2294]) ).
tcf(c_34228,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_1883]) ).
tcf(c_34229,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_1835]) ).
tcf(c_34230,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34211,c_1774]) ).
tcf(c_34231,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_5023]) ).
tcf(c_34232,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34211,c_4917]) ).
tcf(c_34233,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_1038]) ).
tcf(c_34234,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_1004]) ).
tcf(c_34235,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_1582]) ).
tcf(c_34236,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34211,c_1264]) ).
tcf(c_34237,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1187]) ).
tcf(c_34238,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1186]) ).
tcf(c_34239,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1185]) ).
tcf(c_34240,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1184]) ).
tcf(c_34241,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1183]) ).
tcf(c_34242,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1182]) ).
tcf(c_34243,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1120]) ).
tcf(c_34244,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1119]) ).
tcf(c_34245,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1118]) ).
tcf(c_34246,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1117]) ).
tcf(c_34247,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1116]) ).
tcf(c_34248,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_1115]) ).
tcf(c_34249,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_951]) ).
tcf(c_34250,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34211,c_937]) ).
tcf(c_34251,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34211,c_69]) ).
tcf(c_34252,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_923]) ).
tcf(c_34253,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34211,c_68]) ).
tcf(c_34254,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34211,c_77]) ).
tcf(c_34255,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34211,c_71]) ).
tcf(c_34256,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34211,c_909]) ).
tcf(c_34257,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34211,c_76]) ).
tcf(c_34258,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34211,c_70]) ).
tcf(c_34259,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_74]) ).
tcf(c_34260,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_73]) ).
tcf(c_34261,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_34211,c_63]) ).
tcf(c_34262,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_34211,c_62]) ).
tcf(c_34263,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_61]) ).
tcf(c_34264,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34211,c_60]) ).
tcf(c_34439,plain,
( ( sdtasdt0(sdtasdt0(xa,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_8538]) ).
tcf(c_34440,plain,
sdtasdt0(sdtasdt0(xa,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_34439,c_56]) ).
tcf(c_34447,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_9819]) ).
tcf(c_34448,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_34447,c_49]) ).
tcf(c_34455,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xa,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3768,c_78]) ).
tcf(c_34456,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_34455,c_50,c_3219]) ).
tcf(c_34457,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_5998]) ).
tcf(c_34458,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34456,c_5844]) ).
tcf(c_34459,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_4849]) ).
tcf(c_34460,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_4744]) ).
tcf(c_34461,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_4587]) ).
tcf(c_34462,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_4303]) ).
tcf(c_34463,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_3754]) ).
tcf(c_34464,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_3178]) ).
tcf(c_34465,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_3124]) ).
tcf(c_34466,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_3080]) ).
tcf(c_34467,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_2851]) ).
tcf(c_34468,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_2623]) ).
tcf(c_34469,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_2294]) ).
tcf(c_34470,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_1883]) ).
tcf(c_34471,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_1835]) ).
tcf(c_34472,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_34456,c_1774]) ).
tcf(c_34473,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_5023]) ).
tcf(c_34474,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34456,c_4917]) ).
tcf(c_34475,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_1038]) ).
tcf(c_34476,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_1004]) ).
tcf(c_34477,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_1582]) ).
tcf(c_34478,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34456,c_1264]) ).
tcf(c_34479,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1187]) ).
tcf(c_34480,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1186]) ).
tcf(c_34481,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1185]) ).
tcf(c_34482,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1184]) ).
tcf(c_34483,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1183]) ).
tcf(c_34484,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1182]) ).
tcf(c_34485,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1120]) ).
tcf(c_34486,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1119]) ).
tcf(c_34487,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1118]) ).
tcf(c_34488,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1117]) ).
tcf(c_34489,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1116]) ).
tcf(c_34490,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_1115]) ).
tcf(c_34491,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))) = smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_951]) ).
tcf(c_34492,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_34456,c_937]) ).
tcf(c_34493,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34456,c_69]) ).
tcf(c_34494,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_923]) ).
tcf(c_34495,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34456,c_68]) ).
tcf(c_34496,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34456,c_77]) ).
tcf(c_34497,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34456,c_71]) ).
tcf(c_34498,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34456,c_909]) ).
tcf(c_34499,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34456,c_76]) ).
tcf(c_34500,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34456,c_70]) ).
tcf(c_34501,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))),sdtpldt0(xb,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_74]) ).
tcf(c_34502,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),smndt0(sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_73]) ).
tcf(c_34503,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xb))) = sdtpldt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_34456,c_63]) ).
tcf(c_34504,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xb)),sz00) = sdtpldt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_34456,c_62]) ).
tcf(c_34505,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_61]) ).
tcf(c_34506,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34456,c_60]) ).
tcf(c_34535,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xp,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3769,c_78]) ).
tcf(c_34536,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_34535,c_50,c_3339]) ).
tcf(c_34537,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_5998]) ).
tcf(c_34538,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34536,c_5844]) ).
tcf(c_34539,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_4849]) ).
tcf(c_34540,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_4744]) ).
tcf(c_34541,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_4587]) ).
tcf(c_34542,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_4303]) ).
tcf(c_34543,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_3754]) ).
tcf(c_34544,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_3178]) ).
tcf(c_34545,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_3124]) ).
tcf(c_34546,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_3080]) ).
tcf(c_34547,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_2851]) ).
tcf(c_34548,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_2623]) ).
tcf(c_34549,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_2294]) ).
tcf(c_34550,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_1883]) ).
tcf(c_34551,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_1835]) ).
tcf(c_34552,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_34536,c_1774]) ).
tcf(c_34553,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_5023]) ).
tcf(c_34554,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34536,c_4917]) ).
tcf(c_34555,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_1038]) ).
tcf(c_34556,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_1004]) ).
tcf(c_34557,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_1582]) ).
tcf(c_34558,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34536,c_1264]) ).
tcf(c_34559,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1187]) ).
tcf(c_34560,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1186]) ).
tcf(c_34561,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1185]) ).
tcf(c_34562,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1184]) ).
tcf(c_34563,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1183]) ).
tcf(c_34564,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1182]) ).
tcf(c_34565,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1120]) ).
tcf(c_34566,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1119]) ).
tcf(c_34567,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1118]) ).
tcf(c_34568,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1117]) ).
tcf(c_34569,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1116]) ).
tcf(c_34570,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_1115]) ).
tcf(c_34571,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_951]) ).
tcf(c_34572,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_34536,c_937]) ).
tcf(c_34573,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34536,c_69]) ).
tcf(c_34574,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_923]) ).
tcf(c_34575,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34536,c_68]) ).
tcf(c_34576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34536,c_77]) ).
tcf(c_34577,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34536,c_71]) ).
tcf(c_34578,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34536,c_909]) ).
tcf(c_34579,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34536,c_76]) ).
tcf(c_34580,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34536,c_70]) ).
tcf(c_34581,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))),sdtpldt0(xb,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_74]) ).
tcf(c_34582,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),smndt0(sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_73]) ).
tcf(c_34583,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xa))) = sdtpldt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_34536,c_63]) ).
tcf(c_34584,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xa)),sz00) = sdtpldt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_34536,c_62]) ).
tcf(c_34585,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_61]) ).
tcf(c_34586,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34536,c_60]) ).
tcf(c_34609,plain,
( ( xp = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))
| ( sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3605,c_59]) ).
tcf(c_34610,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_3605,c_72]) ).
tcf(c_34611,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_34610,c_51,c_3596]) ).
tcf(c_34612,plain,
( ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34609,c_52,c_51,c_3596]) ).
tcf(c_34615,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_5998]) ).
tcf(c_34616,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34611,c_5844]) ).
tcf(c_34617,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_4849]) ).
tcf(c_34618,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_4744]) ).
tcf(c_34619,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_4587]) ).
tcf(c_34620,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_4303]) ).
tcf(c_34621,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_3754]) ).
tcf(c_34622,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_3178]) ).
tcf(c_34623,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_3124]) ).
tcf(c_34624,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_3080]) ).
tcf(c_34625,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_2851]) ).
tcf(c_34626,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_2623]) ).
tcf(c_34627,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_2294]) ).
tcf(c_34628,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_1883]) ).
tcf(c_34629,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_1835]) ).
tcf(c_34630,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_34611,c_1774]) ).
tcf(c_34631,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_5023]) ).
tcf(c_34632,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34611,c_4917]) ).
tcf(c_34633,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_1038]) ).
tcf(c_34634,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_1004]) ).
tcf(c_34635,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_1582]) ).
tcf(c_34636,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34611,c_1264]) ).
tcf(c_34637,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1187]) ).
tcf(c_34638,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1186]) ).
tcf(c_34639,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1185]) ).
tcf(c_34640,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1184]) ).
tcf(c_34641,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1183]) ).
tcf(c_34642,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1182]) ).
tcf(c_34643,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1120]) ).
tcf(c_34644,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1119]) ).
tcf(c_34645,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1118]) ).
tcf(c_34646,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1117]) ).
tcf(c_34647,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1116]) ).
tcf(c_34648,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_1115]) ).
tcf(c_34649,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_951]) ).
tcf(c_34650,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_34611,c_937]) ).
tcf(c_34651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34611,c_69]) ).
tcf(c_34652,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_923]) ).
tcf(c_34653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34611,c_68]) ).
tcf(c_34654,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34611,c_77]) ).
tcf(c_34655,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34611,c_71]) ).
tcf(c_34656,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34611,c_909]) ).
tcf(c_34657,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34611,c_76]) ).
tcf(c_34658,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34611,c_70]) ).
tcf(c_34659,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_74]) ).
tcf(c_34660,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_73]) ).
tcf(c_34661,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_34611,c_63]) ).
tcf(c_34662,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_34611,c_62]) ).
tcf(c_34663,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_61]) ).
tcf(c_34664,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34611,c_60]) ).
tcf(c_34875,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_9820]) ).
tcf(c_34876,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_34875,c_49]) ).
tcf(c_34883,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xq,xa)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3770,c_78]) ).
tcf(c_34884,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_34883,c_50,c_3448]) ).
tcf(c_34885,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_5998]) ).
tcf(c_34886,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34884,c_5844]) ).
tcf(c_34887,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_4849]) ).
tcf(c_34888,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_4744]) ).
tcf(c_34889,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_4587]) ).
tcf(c_34890,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_4303]) ).
tcf(c_34891,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_3754]) ).
tcf(c_34892,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_3178]) ).
tcf(c_34893,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_3124]) ).
tcf(c_34894,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_3080]) ).
tcf(c_34895,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_2851]) ).
tcf(c_34896,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_2623]) ).
tcf(c_34897,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_2294]) ).
tcf(c_34898,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_1883]) ).
tcf(c_34899,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_1835]) ).
tcf(c_34900,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_34884,c_1774]) ).
tcf(c_34901,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_5023]) ).
tcf(c_34902,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34884,c_4917]) ).
tcf(c_34903,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_1038]) ).
tcf(c_34904,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_1004]) ).
tcf(c_34905,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_1582]) ).
tcf(c_34906,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34884,c_1264]) ).
tcf(c_34907,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1187]) ).
tcf(c_34908,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1186]) ).
tcf(c_34909,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1185]) ).
tcf(c_34910,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1184]) ).
tcf(c_34911,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1183]) ).
tcf(c_34912,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1182]) ).
tcf(c_34913,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1120]) ).
tcf(c_34914,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1119]) ).
tcf(c_34915,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1118]) ).
tcf(c_34916,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1117]) ).
tcf(c_34917,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1116]) ).
tcf(c_34918,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_1115]) ).
tcf(c_34919,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))) = smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_951]) ).
tcf(c_34920,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_34884,c_937]) ).
tcf(c_34921,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34884,c_69]) ).
tcf(c_34922,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_923]) ).
tcf(c_34923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34884,c_68]) ).
tcf(c_34924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34884,c_77]) ).
tcf(c_34925,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34884,c_71]) ).
tcf(c_34926,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34884,c_909]) ).
tcf(c_34927,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34884,c_76]) ).
tcf(c_34928,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34884,c_70]) ).
tcf(c_34929,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))),sdtpldt0(xb,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_74]) ).
tcf(c_34930,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),smndt0(sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_73]) ).
tcf(c_34931,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xa))) = sdtpldt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_34884,c_63]) ).
tcf(c_34932,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xa)),sz00) = sdtpldt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_34884,c_62]) ).
tcf(c_34933,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_61]) ).
tcf(c_34934,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34884,c_60]) ).
tcf(c_35007,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xa,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3771,c_78]) ).
tcf(c_35008,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_35007,c_50,c_3508]) ).
tcf(c_35009,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_5998]) ).
tcf(c_35010,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35008,c_5844]) ).
tcf(c_35011,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_4849]) ).
tcf(c_35012,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_4744]) ).
tcf(c_35013,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_4587]) ).
tcf(c_35014,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_4303]) ).
tcf(c_35015,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_3754]) ).
tcf(c_35016,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_3178]) ).
tcf(c_35017,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_3124]) ).
tcf(c_35018,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_3080]) ).
tcf(c_35019,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_2851]) ).
tcf(c_35020,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_2623]) ).
tcf(c_35021,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_2294]) ).
tcf(c_35022,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_1883]) ).
tcf(c_35023,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_1835]) ).
tcf(c_35024,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_35008,c_1774]) ).
tcf(c_35025,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_5023]) ).
tcf(c_35026,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35008,c_4917]) ).
tcf(c_35027,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_1038]) ).
tcf(c_35028,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_1004]) ).
tcf(c_35029,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_1582]) ).
tcf(c_35030,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35008,c_1264]) ).
tcf(c_35031,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1187]) ).
tcf(c_35032,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1186]) ).
tcf(c_35033,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1185]) ).
tcf(c_35034,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1184]) ).
tcf(c_35035,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1183]) ).
tcf(c_35036,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1182]) ).
tcf(c_35037,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1120]) ).
tcf(c_35038,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1119]) ).
tcf(c_35039,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1118]) ).
tcf(c_35040,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1117]) ).
tcf(c_35041,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1116]) ).
tcf(c_35042,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_1115]) ).
tcf(c_35043,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))) = smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_951]) ).
tcf(c_35044,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_35008,c_937]) ).
tcf(c_35045,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35008,c_69]) ).
tcf(c_35046,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_923]) ).
tcf(c_35047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35008,c_68]) ).
tcf(c_35048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35008,c_77]) ).
tcf(c_35049,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35008,c_71]) ).
tcf(c_35050,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35008,c_909]) ).
tcf(c_35051,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35008,c_76]) ).
tcf(c_35052,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35008,c_70]) ).
tcf(c_35053,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))),sdtpldt0(xb,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_74]) ).
tcf(c_35054,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),smndt0(sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_73]) ).
tcf(c_35055,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xm))) = sdtpldt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_35008,c_63]) ).
tcf(c_35056,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,xm)),sz00) = sdtpldt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_35008,c_62]) ).
tcf(c_35057,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_61]) ).
tcf(c_35058,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35008,c_60]) ).
tcf(c_35105,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))
| ( sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3606,c_59]) ).
tcf(c_35106,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_3606,c_72]) ).
tcf(c_35107,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_35106,c_50,c_3596]) ).
tcf(c_35108,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35105,c_50,c_3596]) ).
tcf(c_35286,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_5998]) ).
tcf(c_35287,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35107,c_5844]) ).
tcf(c_35288,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_4849]) ).
tcf(c_35289,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_4744]) ).
tcf(c_35290,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_4587]) ).
tcf(c_35291,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_4303]) ).
tcf(c_35292,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_3754]) ).
tcf(c_35293,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_3178]) ).
tcf(c_35294,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_3124]) ).
tcf(c_35295,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_3080]) ).
tcf(c_35296,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_2851]) ).
tcf(c_35297,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_2623]) ).
tcf(c_35298,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_2294]) ).
tcf(c_35299,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_1883]) ).
tcf(c_35300,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_1835]) ).
tcf(c_35301,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35107,c_1774]) ).
tcf(c_35302,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_5023]) ).
tcf(c_35303,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35107,c_4917]) ).
tcf(c_35304,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_1038]) ).
tcf(c_35305,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_1004]) ).
tcf(c_35306,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_1582]) ).
tcf(c_35307,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35107,c_1264]) ).
tcf(c_35308,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1187]) ).
tcf(c_35309,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1186]) ).
tcf(c_35310,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1185]) ).
tcf(c_35311,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1184]) ).
tcf(c_35312,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1183]) ).
tcf(c_35313,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1182]) ).
tcf(c_35314,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1120]) ).
tcf(c_35315,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1119]) ).
tcf(c_35316,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1118]) ).
tcf(c_35317,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1117]) ).
tcf(c_35318,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1116]) ).
tcf(c_35319,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_1115]) ).
tcf(c_35320,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_951]) ).
tcf(c_35321,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35107,c_937]) ).
tcf(c_35322,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35107,c_69]) ).
tcf(c_35323,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_923]) ).
tcf(c_35324,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35107,c_68]) ).
tcf(c_35325,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35107,c_77]) ).
tcf(c_35326,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35107,c_71]) ).
tcf(c_35327,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35107,c_909]) ).
tcf(c_35328,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35107,c_76]) ).
tcf(c_35329,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35107,c_70]) ).
tcf(c_35330,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_74]) ).
tcf(c_35331,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_73]) ).
tcf(c_35332,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_35107,c_63]) ).
tcf(c_35333,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_35107,c_62]) ).
tcf(c_35334,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_61]) ).
tcf(c_35335,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35107,c_60]) ).
tcf(c_35406,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_10137]) ).
tcf(c_35407,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_35406,c_51]) ).
tcf(c_35414,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xp,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3800,c_78]) ).
tcf(c_35415,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_35414,c_50,c_3799]) ).
tcf(c_35416,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_5998]) ).
tcf(c_35417,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35415,c_5844]) ).
tcf(c_35418,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_4849]) ).
tcf(c_35419,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_4744]) ).
tcf(c_35420,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_4587]) ).
tcf(c_35421,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_4303]) ).
tcf(c_35422,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_3754]) ).
tcf(c_35423,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_3178]) ).
tcf(c_35424,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_3124]) ).
tcf(c_35425,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_3080]) ).
tcf(c_35426,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_2851]) ).
tcf(c_35427,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_2623]) ).
tcf(c_35428,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_2294]) ).
tcf(c_35429,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_1883]) ).
tcf(c_35430,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_1835]) ).
tcf(c_35431,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35415,c_1774]) ).
tcf(c_35432,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_5023]) ).
tcf(c_35433,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35415,c_4917]) ).
tcf(c_35434,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_1038]) ).
tcf(c_35435,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_1004]) ).
tcf(c_35436,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_1582]) ).
tcf(c_35437,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35415,c_1264]) ).
tcf(c_35438,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1187]) ).
tcf(c_35439,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1186]) ).
tcf(c_35440,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1185]) ).
tcf(c_35441,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1184]) ).
tcf(c_35442,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1183]) ).
tcf(c_35443,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1182]) ).
tcf(c_35444,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1120]) ).
tcf(c_35445,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1119]) ).
tcf(c_35446,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1118]) ).
tcf(c_35447,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1117]) ).
tcf(c_35448,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1116]) ).
tcf(c_35449,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_1115]) ).
tcf(c_35450,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_951]) ).
tcf(c_35451,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35415,c_937]) ).
tcf(c_35452,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35415,c_69]) ).
tcf(c_35453,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_923]) ).
tcf(c_35454,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35415,c_68]) ).
tcf(c_35455,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35415,c_77]) ).
tcf(c_35456,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35415,c_71]) ).
tcf(c_35457,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35415,c_909]) ).
tcf(c_35458,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35415,c_76]) ).
tcf(c_35459,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35415,c_70]) ).
tcf(c_35460,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))),sdtpldt0(xb,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_74]) ).
tcf(c_35461,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),smndt0(sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_73]) ).
tcf(c_35462,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xb))) = sdtpldt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_35415,c_63]) ).
tcf(c_35463,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xb)),sz00) = sdtpldt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_35415,c_62]) ).
tcf(c_35464,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_61]) ).
tcf(c_35465,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35415,c_60]) ).
tcf(c_35516,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xp,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3801,c_78]) ).
tcf(c_35517,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_35516,c_49,c_3799]) ).
tcf(c_35518,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_5998]) ).
tcf(c_35519,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35517,c_5844]) ).
tcf(c_35520,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_4849]) ).
tcf(c_35521,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_4744]) ).
tcf(c_35522,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_4587]) ).
tcf(c_35523,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_4303]) ).
tcf(c_35524,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_3754]) ).
tcf(c_35525,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_3178]) ).
tcf(c_35526,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_3124]) ).
tcf(c_35527,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_3080]) ).
tcf(c_35528,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_2851]) ).
tcf(c_35529,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_2623]) ).
tcf(c_35530,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_2294]) ).
tcf(c_35531,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_1883]) ).
tcf(c_35532,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_1835]) ).
tcf(c_35533,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35517,c_1774]) ).
tcf(c_35534,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_5023]) ).
tcf(c_35535,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35517,c_4917]) ).
tcf(c_35536,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_1038]) ).
tcf(c_35537,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_1004]) ).
tcf(c_35538,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_1582]) ).
tcf(c_35539,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35517,c_1264]) ).
tcf(c_35540,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1187]) ).
tcf(c_35541,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1186]) ).
tcf(c_35542,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1185]) ).
tcf(c_35543,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1184]) ).
tcf(c_35544,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1183]) ).
tcf(c_35545,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1182]) ).
tcf(c_35546,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1120]) ).
tcf(c_35547,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1119]) ).
tcf(c_35548,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1118]) ).
tcf(c_35549,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1117]) ).
tcf(c_35550,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1116]) ).
tcf(c_35551,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_1115]) ).
tcf(c_35552,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_951]) ).
tcf(c_35553,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35517,c_937]) ).
tcf(c_35554,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35517,c_69]) ).
tcf(c_35555,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_923]) ).
tcf(c_35556,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35517,c_68]) ).
tcf(c_35557,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35517,c_77]) ).
tcf(c_35558,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35517,c_71]) ).
tcf(c_35559,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35517,c_909]) ).
tcf(c_35560,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35517,c_76]) ).
tcf(c_35561,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35517,c_70]) ).
tcf(c_35562,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))),sdtpldt0(xa,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_74]) ).
tcf(c_35563,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),smndt0(sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_73]) ).
tcf(c_35564,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xb))) = sdtpldt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_35517,c_63]) ).
tcf(c_35565,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xb)),sz00) = sdtpldt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_35517,c_62]) ).
tcf(c_35566,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_61]) ).
tcf(c_35567,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35517,c_60]) ).
tcf(c_35634,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))
| ( sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3607,c_59]) ).
tcf(c_35635,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_3607,c_72]) ).
tcf(c_35636,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_35635,c_49,c_3596]) ).
tcf(c_35637,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35634,c_49,c_3596]) ).
tcf(c_35641,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_5998]) ).
tcf(c_35642,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35636,c_5844]) ).
tcf(c_35643,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_4849]) ).
tcf(c_35644,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_4744]) ).
tcf(c_35645,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_4587]) ).
tcf(c_35646,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_4303]) ).
tcf(c_35647,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_3754]) ).
tcf(c_35648,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_3178]) ).
tcf(c_35649,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_3124]) ).
tcf(c_35650,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_3080]) ).
tcf(c_35651,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_2851]) ).
tcf(c_35652,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_2623]) ).
tcf(c_35653,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_2294]) ).
tcf(c_35654,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_1883]) ).
tcf(c_35655,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_1835]) ).
tcf(c_35656,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_35636,c_1774]) ).
tcf(c_35657,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_5023]) ).
tcf(c_35658,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35636,c_4917]) ).
tcf(c_35659,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_1038]) ).
tcf(c_35660,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_1004]) ).
tcf(c_35661,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_1582]) ).
tcf(c_35662,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35636,c_1264]) ).
tcf(c_35663,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1187]) ).
tcf(c_35664,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1186]) ).
tcf(c_35665,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1185]) ).
tcf(c_35666,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1184]) ).
tcf(c_35667,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1183]) ).
tcf(c_35668,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1182]) ).
tcf(c_35669,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1120]) ).
tcf(c_35670,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1119]) ).
tcf(c_35671,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1118]) ).
tcf(c_35672,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1117]) ).
tcf(c_35673,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1116]) ).
tcf(c_35674,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_1115]) ).
tcf(c_35675,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_951]) ).
tcf(c_35676,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_35636,c_937]) ).
tcf(c_35677,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35636,c_69]) ).
tcf(c_35678,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_923]) ).
tcf(c_35679,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35636,c_68]) ).
tcf(c_35680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35636,c_77]) ).
tcf(c_35681,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35636,c_71]) ).
tcf(c_35682,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35636,c_909]) ).
tcf(c_35683,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35636,c_76]) ).
tcf(c_35684,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35636,c_70]) ).
tcf(c_35685,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_74]) ).
tcf(c_35686,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_73]) ).
tcf(c_35687,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_35636,c_63]) ).
tcf(c_35688,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_35636,c_62]) ).
tcf(c_35689,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_61]) ).
tcf(c_35690,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35636,c_60]) ).
tcf(c_35911,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_10138]) ).
tcf(c_35912,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_35911,c_51]) ).
tcf(c_35920,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xb) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xb))
| ( sdtasdt0(xm,sdtpldt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3803,c_59]) ).
tcf(c_35921,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xp,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3803,c_72]) ).
tcf(c_35922,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_35921,c_56,c_3799]) ).
tcf(c_35923,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xb) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35920,c_56,c_3799]) ).
tcf(c_35927,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_5998]) ).
tcf(c_35928,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35922,c_5844]) ).
tcf(c_35929,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_4849]) ).
tcf(c_35930,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_4744]) ).
tcf(c_35931,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_4587]) ).
tcf(c_35932,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_4303]) ).
tcf(c_35933,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_3754]) ).
tcf(c_35934,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_3178]) ).
tcf(c_35935,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_3124]) ).
tcf(c_35936,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_3080]) ).
tcf(c_35937,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_2851]) ).
tcf(c_35938,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_2623]) ).
tcf(c_35939,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_2294]) ).
tcf(c_35940,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_1883]) ).
tcf(c_35941,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_1835]) ).
tcf(c_35942,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_35922,c_1774]) ).
tcf(c_35943,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_5023]) ).
tcf(c_35944,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35922,c_4917]) ).
tcf(c_35945,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_1038]) ).
tcf(c_35946,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_1004]) ).
tcf(c_35947,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_1582]) ).
tcf(c_35948,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35922,c_1264]) ).
tcf(c_35949,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1187]) ).
tcf(c_35950,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1186]) ).
tcf(c_35951,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1185]) ).
tcf(c_35952,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1184]) ).
tcf(c_35953,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1183]) ).
tcf(c_35954,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1182]) ).
tcf(c_35955,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1120]) ).
tcf(c_35956,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1119]) ).
tcf(c_35957,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1118]) ).
tcf(c_35958,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1117]) ).
tcf(c_35959,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1116]) ).
tcf(c_35960,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_1115]) ).
tcf(c_35961,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_951]) ).
tcf(c_35962,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_35922,c_937]) ).
tcf(c_35963,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35922,c_69]) ).
tcf(c_35964,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_923]) ).
tcf(c_35965,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35922,c_68]) ).
tcf(c_35966,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35922,c_77]) ).
tcf(c_35967,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35922,c_71]) ).
tcf(c_35968,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35922,c_909]) ).
tcf(c_35969,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35922,c_76]) ).
tcf(c_35970,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35922,c_70]) ).
tcf(c_35971,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))),sdtasdt0(xm,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_74]) ).
tcf(c_35972,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),smndt0(sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_73]) ).
tcf(c_35973,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xb))) = sdtasdt0(xm,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_35922,c_63]) ).
tcf(c_35974,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xb)),sz00) = sdtasdt0(xm,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_35922,c_62]) ).
tcf(c_35975,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_61]) ).
tcf(c_35976,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35922,c_60]) ).
tcf(c_36049,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,xb) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xb))
| ( sdtasdt0(xq,sdtpldt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3804,c_59]) ).
tcf(c_36050,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xp,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3804,c_72]) ).
tcf(c_36051,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_36050,c_53,c_3799]) ).
tcf(c_36052,plain,
( ( sdtpldt0(xp,xb) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36049,c_54,c_53,c_3799]) ).
tcf(c_36055,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_5998]) ).
tcf(c_36056,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36051,c_5844]) ).
tcf(c_36057,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_4849]) ).
tcf(c_36058,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_4744]) ).
tcf(c_36059,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_4587]) ).
tcf(c_36060,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_4303]) ).
tcf(c_36061,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_3754]) ).
tcf(c_36062,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_3178]) ).
tcf(c_36063,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_3124]) ).
tcf(c_36064,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_3080]) ).
tcf(c_36065,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_2851]) ).
tcf(c_36066,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_2623]) ).
tcf(c_36067,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_2294]) ).
tcf(c_36068,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_1883]) ).
tcf(c_36069,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_1835]) ).
tcf(c_36070,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36051,c_1774]) ).
tcf(c_36071,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_5023]) ).
tcf(c_36072,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36051,c_4917]) ).
tcf(c_36073,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_1038]) ).
tcf(c_36074,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_1004]) ).
tcf(c_36075,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_1582]) ).
tcf(c_36076,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36051,c_1264]) ).
tcf(c_36077,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1187]) ).
tcf(c_36078,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1186]) ).
tcf(c_36079,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1185]) ).
tcf(c_36080,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1184]) ).
tcf(c_36081,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1183]) ).
tcf(c_36082,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1182]) ).
tcf(c_36083,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1120]) ).
tcf(c_36084,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1119]) ).
tcf(c_36085,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1118]) ).
tcf(c_36086,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1117]) ).
tcf(c_36087,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1116]) ).
tcf(c_36088,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_1115]) ).
tcf(c_36089,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_951]) ).
tcf(c_36090,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36051,c_937]) ).
tcf(c_36091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36051,c_69]) ).
tcf(c_36092,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_923]) ).
tcf(c_36093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36051,c_68]) ).
tcf(c_36094,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36051,c_77]) ).
tcf(c_36095,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36051,c_71]) ).
tcf(c_36096,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36051,c_909]) ).
tcf(c_36097,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36051,c_76]) ).
tcf(c_36098,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36051,c_70]) ).
tcf(c_36099,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))),sdtasdt0(xq,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_74]) ).
tcf(c_36100,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),smndt0(sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_73]) ).
tcf(c_36101,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xb))) = sdtasdt0(xq,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36051,c_63]) ).
tcf(c_36102,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xb)),sz00) = sdtasdt0(xq,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36051,c_62]) ).
tcf(c_36103,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_61]) ).
tcf(c_36104,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36051,c_60]) ).
tcf(c_36156,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_10305]) ).
tcf(c_36157,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36156,c_53]) ).
tcf(c_36164,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_10306]) ).
tcf(c_36165,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36164,c_53]) ).
tcf(c_36172,plain,
( ( xp = sz00 )
| ( sdtpldt0(xp,xb) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xb))
| ( sdtasdt0(xp,sdtpldt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3805,c_59]) ).
tcf(c_36173,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xp,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3805,c_72]) ).
tcf(c_36174,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_36173,c_51,c_3799]) ).
tcf(c_36175,plain,
( ( sdtpldt0(xp,xb) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36172,c_52,c_51,c_3799]) ).
tcf(c_36178,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_5998]) ).
tcf(c_36179,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36174,c_5844]) ).
tcf(c_36180,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_4849]) ).
tcf(c_36181,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_4744]) ).
tcf(c_36182,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_4587]) ).
tcf(c_36183,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_4303]) ).
tcf(c_36184,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_3754]) ).
tcf(c_36185,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_3178]) ).
tcf(c_36186,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_3124]) ).
tcf(c_36187,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_3080]) ).
tcf(c_36188,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_2851]) ).
tcf(c_36189,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_2623]) ).
tcf(c_36190,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_2294]) ).
tcf(c_36191,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_1883]) ).
tcf(c_36192,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_1835]) ).
tcf(c_36193,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36174,c_1774]) ).
tcf(c_36194,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_5023]) ).
tcf(c_36195,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36174,c_4917]) ).
tcf(c_36196,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_1038]) ).
tcf(c_36197,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_1004]) ).
tcf(c_36198,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_1582]) ).
tcf(c_36199,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36174,c_1264]) ).
tcf(c_36200,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1187]) ).
tcf(c_36201,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1186]) ).
tcf(c_36202,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1185]) ).
tcf(c_36203,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1184]) ).
tcf(c_36204,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1183]) ).
tcf(c_36205,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1182]) ).
tcf(c_36206,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1120]) ).
tcf(c_36207,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1119]) ).
tcf(c_36208,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1118]) ).
tcf(c_36209,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1117]) ).
tcf(c_36210,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1116]) ).
tcf(c_36211,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_1115]) ).
tcf(c_36212,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_951]) ).
tcf(c_36213,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36174,c_937]) ).
tcf(c_36214,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36174,c_69]) ).
tcf(c_36215,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_923]) ).
tcf(c_36216,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36174,c_68]) ).
tcf(c_36217,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36174,c_77]) ).
tcf(c_36218,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36174,c_71]) ).
tcf(c_36219,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36174,c_909]) ).
tcf(c_36220,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36174,c_76]) ).
tcf(c_36221,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36174,c_70]) ).
tcf(c_36222,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))),sdtasdt0(xp,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_74]) ).
tcf(c_36223,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),smndt0(sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_73]) ).
tcf(c_36224,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xb))) = sdtasdt0(xp,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36174,c_63]) ).
tcf(c_36225,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xb)),sz00) = sdtasdt0(xp,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36174,c_62]) ).
tcf(c_36226,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_61]) ).
tcf(c_36227,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36174,c_60]) ).
tcf(c_36418,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xb))
| ( sdtasdt0(xb,sdtpldt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3806,c_59]) ).
tcf(c_36419,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xp,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3806,c_72]) ).
tcf(c_36420,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_36419,c_50,c_3799]) ).
tcf(c_36421,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xb) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36418,c_50,c_3799]) ).
tcf(c_36425,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_5998]) ).
tcf(c_36426,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36420,c_5844]) ).
tcf(c_36427,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_4849]) ).
tcf(c_36428,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_4744]) ).
tcf(c_36429,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_4587]) ).
tcf(c_36430,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_4303]) ).
tcf(c_36431,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_3754]) ).
tcf(c_36432,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_3178]) ).
tcf(c_36433,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_3124]) ).
tcf(c_36434,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_3080]) ).
tcf(c_36435,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_2851]) ).
tcf(c_36436,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_2623]) ).
tcf(c_36437,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_2294]) ).
tcf(c_36438,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_1883]) ).
tcf(c_36439,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_1835]) ).
tcf(c_36440,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36420,c_1774]) ).
tcf(c_36441,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_5023]) ).
tcf(c_36442,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36420,c_4917]) ).
tcf(c_36443,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_1038]) ).
tcf(c_36444,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_1004]) ).
tcf(c_36445,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_1582]) ).
tcf(c_36446,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36420,c_1264]) ).
tcf(c_36447,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1187]) ).
tcf(c_36448,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1186]) ).
tcf(c_36449,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1185]) ).
tcf(c_36450,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1184]) ).
tcf(c_36451,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1183]) ).
tcf(c_36452,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1182]) ).
tcf(c_36453,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1120]) ).
tcf(c_36454,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1119]) ).
tcf(c_36455,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1118]) ).
tcf(c_36456,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1117]) ).
tcf(c_36457,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1116]) ).
tcf(c_36458,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_1115]) ).
tcf(c_36459,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_951]) ).
tcf(c_36460,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36420,c_937]) ).
tcf(c_36461,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36420,c_69]) ).
tcf(c_36462,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_923]) ).
tcf(c_36463,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36420,c_68]) ).
tcf(c_36464,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36420,c_77]) ).
tcf(c_36465,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36420,c_71]) ).
tcf(c_36466,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36420,c_909]) ).
tcf(c_36467,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36420,c_76]) ).
tcf(c_36468,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36420,c_70]) ).
tcf(c_36469,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))),sdtasdt0(xb,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_74]) ).
tcf(c_36470,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),smndt0(sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_73]) ).
tcf(c_36471,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xb))) = sdtasdt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36420,c_63]) ).
tcf(c_36472,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xb)),sz00) = sdtasdt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36420,c_62]) ).
tcf(c_36473,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_61]) ).
tcf(c_36474,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36420,c_60]) ).
tcf(c_36548,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_10473]) ).
tcf(c_36549,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36548,c_56]) ).
tcf(c_36556,plain,
( ( sdtasdt0(sdtasdt0(xb,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_10474]) ).
tcf(c_36557,plain,
sdtasdt0(sdtasdt0(xb,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36556,c_56]) ).
tcf(c_36564,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xb) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xb))
| ( sdtasdt0(xa,sdtpldt0(xp,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3807,c_59]) ).
tcf(c_36565,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xp,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3807,c_72]) ).
tcf(c_36566,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_36565,c_49,c_3799]) ).
tcf(c_36567,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xb) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xp,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36564,c_49,c_3799]) ).
tcf(c_36571,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_5998]) ).
tcf(c_36572,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36566,c_5844]) ).
tcf(c_36573,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_4849]) ).
tcf(c_36574,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_4744]) ).
tcf(c_36575,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_4587]) ).
tcf(c_36576,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_4303]) ).
tcf(c_36577,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_3754]) ).
tcf(c_36578,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_3178]) ).
tcf(c_36579,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_3124]) ).
tcf(c_36580,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_3080]) ).
tcf(c_36581,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_2851]) ).
tcf(c_36582,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_2623]) ).
tcf(c_36583,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_2294]) ).
tcf(c_36584,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_1883]) ).
tcf(c_36585,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_1835]) ).
tcf(c_36586,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_36566,c_1774]) ).
tcf(c_36587,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_5023]) ).
tcf(c_36588,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36566,c_4917]) ).
tcf(c_36589,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_1038]) ).
tcf(c_36590,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_1004]) ).
tcf(c_36591,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_1582]) ).
tcf(c_36592,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36566,c_1264]) ).
tcf(c_36593,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1187]) ).
tcf(c_36594,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1186]) ).
tcf(c_36595,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1185]) ).
tcf(c_36596,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1184]) ).
tcf(c_36597,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1183]) ).
tcf(c_36598,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1182]) ).
tcf(c_36599,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1120]) ).
tcf(c_36600,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1119]) ).
tcf(c_36601,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1118]) ).
tcf(c_36602,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1117]) ).
tcf(c_36603,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1116]) ).
tcf(c_36604,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_1115]) ).
tcf(c_36605,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_951]) ).
tcf(c_36606,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_36566,c_937]) ).
tcf(c_36607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36566,c_69]) ).
tcf(c_36608,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_923]) ).
tcf(c_36609,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36566,c_68]) ).
tcf(c_36610,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36566,c_77]) ).
tcf(c_36611,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36566,c_71]) ).
tcf(c_36612,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36566,c_909]) ).
tcf(c_36613,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36566,c_76]) ).
tcf(c_36614,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36566,c_70]) ).
tcf(c_36615,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))),sdtasdt0(xa,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_74]) ).
tcf(c_36616,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),smndt0(sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_73]) ).
tcf(c_36617,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xb))) = sdtasdt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36566,c_63]) ).
tcf(c_36618,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xb)),sz00) = sdtasdt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_36566,c_62]) ).
tcf(c_36619,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_61]) ).
tcf(c_36620,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36566,c_60]) ).
tcf(c_36673,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xq,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3928,c_78]) ).
tcf(c_36674,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_36673,c_50,c_3870]) ).
tcf(c_36698,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_5998]) ).
tcf(c_36699,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36674,c_5844]) ).
tcf(c_36700,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_4849]) ).
tcf(c_36701,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_4744]) ).
tcf(c_36702,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_4587]) ).
tcf(c_36703,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_4303]) ).
tcf(c_36704,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_3754]) ).
tcf(c_36705,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_3178]) ).
tcf(c_36706,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_3124]) ).
tcf(c_36707,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_3080]) ).
tcf(c_36708,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_2851]) ).
tcf(c_36709,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_2623]) ).
tcf(c_36710,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_2294]) ).
tcf(c_36711,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_1883]) ).
tcf(c_36712,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_1835]) ).
tcf(c_36713,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36674,c_1774]) ).
tcf(c_36714,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_5023]) ).
tcf(c_36715,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36674,c_4917]) ).
tcf(c_36716,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_1038]) ).
tcf(c_36717,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_1004]) ).
tcf(c_36718,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_1582]) ).
tcf(c_36719,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36674,c_1264]) ).
tcf(c_36720,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1187]) ).
tcf(c_36721,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1186]) ).
tcf(c_36722,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1185]) ).
tcf(c_36723,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1184]) ).
tcf(c_36724,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1183]) ).
tcf(c_36725,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1182]) ).
tcf(c_36726,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1120]) ).
tcf(c_36727,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1119]) ).
tcf(c_36728,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1118]) ).
tcf(c_36729,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1117]) ).
tcf(c_36730,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1116]) ).
tcf(c_36731,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_1115]) ).
tcf(c_36732,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))) = smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_951]) ).
tcf(c_36733,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36674,c_937]) ).
tcf(c_36734,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36674,c_69]) ).
tcf(c_36735,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_923]) ).
tcf(c_36736,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36674,c_68]) ).
tcf(c_36737,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36674,c_77]) ).
tcf(c_36738,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36674,c_71]) ).
tcf(c_36739,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36674,c_909]) ).
tcf(c_36740,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36674,c_76]) ).
tcf(c_36741,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36674,c_70]) ).
tcf(c_36742,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))),sdtpldt0(xb,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_74]) ).
tcf(c_36743,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),smndt0(sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_73]) ).
tcf(c_36744,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xb))) = sdtpldt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_36674,c_63]) ).
tcf(c_36745,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xb)),sz00) = sdtpldt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_36674,c_62]) ).
tcf(c_36746,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_61]) ).
tcf(c_36747,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36674,c_60]) ).
tcf(c_36798,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_10819]) ).
tcf(c_36799,plain,
sdtasdt0(sz00,sdtasdt0(xp,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36798,c_49]) ).
tcf(c_36806,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xq,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3929,c_78]) ).
tcf(c_36807,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_36806,c_49,c_3870]) ).
tcf(c_36808,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_5998]) ).
tcf(c_36809,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36807,c_5844]) ).
tcf(c_36810,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_4849]) ).
tcf(c_36811,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_4744]) ).
tcf(c_36812,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_4587]) ).
tcf(c_36813,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_4303]) ).
tcf(c_36814,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_3754]) ).
tcf(c_36815,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_3178]) ).
tcf(c_36816,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_3124]) ).
tcf(c_36817,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_3080]) ).
tcf(c_36818,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_2851]) ).
tcf(c_36819,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_2623]) ).
tcf(c_36820,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_2294]) ).
tcf(c_36821,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_1883]) ).
tcf(c_36822,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_1835]) ).
tcf(c_36823,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_36807,c_1774]) ).
tcf(c_36824,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_5023]) ).
tcf(c_36825,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36807,c_4917]) ).
tcf(c_36826,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_1038]) ).
tcf(c_36827,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_1004]) ).
tcf(c_36828,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_1582]) ).
tcf(c_36829,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36807,c_1264]) ).
tcf(c_36830,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1187]) ).
tcf(c_36831,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1186]) ).
tcf(c_36832,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1185]) ).
tcf(c_36833,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1184]) ).
tcf(c_36834,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1183]) ).
tcf(c_36835,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1182]) ).
tcf(c_36836,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1120]) ).
tcf(c_36837,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1119]) ).
tcf(c_36838,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1118]) ).
tcf(c_36839,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1117]) ).
tcf(c_36840,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1116]) ).
tcf(c_36841,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_1115]) ).
tcf(c_36842,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))) = smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_951]) ).
tcf(c_36843,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_36807,c_937]) ).
tcf(c_36844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36807,c_69]) ).
tcf(c_36845,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_923]) ).
tcf(c_36846,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36807,c_68]) ).
tcf(c_36847,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36807,c_77]) ).
tcf(c_36848,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36807,c_71]) ).
tcf(c_36849,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36807,c_909]) ).
tcf(c_36850,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36807,c_76]) ).
tcf(c_36851,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36807,c_70]) ).
tcf(c_36852,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))),sdtpldt0(xa,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_74]) ).
tcf(c_36853,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),smndt0(sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_73]) ).
tcf(c_36854,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xb))) = sdtpldt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_36807,c_63]) ).
tcf(c_36855,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xb)),sz00) = sdtpldt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_36807,c_62]) ).
tcf(c_36856,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_61]) ).
tcf(c_36857,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36807,c_60]) ).
tcf(c_37189,plain,
( ( sz00 = xm )
| ( sdtpldt0(xq,xb) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xb))
| ( sdtasdt0(xm,sdtpldt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3931,c_59]) ).
tcf(c_37190,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xq,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3931,c_72]) ).
tcf(c_37191,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_37190,c_56,c_3870]) ).
tcf(c_37192,plain,
( ( sz00 = xm )
| ( sdtpldt0(xq,xb) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37189,c_56,c_3870]) ).
tcf(c_37197,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_5998]) ).
tcf(c_37198,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37191,c_5844]) ).
tcf(c_37199,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_4849]) ).
tcf(c_37200,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_4744]) ).
tcf(c_37201,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_4587]) ).
tcf(c_37202,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_4303]) ).
tcf(c_37203,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_3754]) ).
tcf(c_37204,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_3178]) ).
tcf(c_37205,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_3124]) ).
tcf(c_37206,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_3080]) ).
tcf(c_37207,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_2851]) ).
tcf(c_37208,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_2623]) ).
tcf(c_37209,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_2294]) ).
tcf(c_37210,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_1883]) ).
tcf(c_37211,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_1835]) ).
tcf(c_37212,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37191,c_1774]) ).
tcf(c_37213,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_5023]) ).
tcf(c_37214,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37191,c_4917]) ).
tcf(c_37215,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_1038]) ).
tcf(c_37216,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_1004]) ).
tcf(c_37217,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_1582]) ).
tcf(c_37218,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37191,c_1264]) ).
tcf(c_37219,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1187]) ).
tcf(c_37220,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1186]) ).
tcf(c_37221,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1185]) ).
tcf(c_37222,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1184]) ).
tcf(c_37223,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1183]) ).
tcf(c_37224,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1182]) ).
tcf(c_37225,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1120]) ).
tcf(c_37226,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1119]) ).
tcf(c_37227,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1118]) ).
tcf(c_37228,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1117]) ).
tcf(c_37229,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1116]) ).
tcf(c_37230,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_1115]) ).
tcf(c_37231,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))) = smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_951]) ).
tcf(c_37232,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37191,c_937]) ).
tcf(c_37233,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37191,c_69]) ).
tcf(c_37234,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_923]) ).
tcf(c_37235,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37191,c_68]) ).
tcf(c_37236,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37191,c_77]) ).
tcf(c_37237,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37191,c_71]) ).
tcf(c_37238,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37191,c_909]) ).
tcf(c_37239,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37191,c_76]) ).
tcf(c_37240,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37191,c_70]) ).
tcf(c_37241,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))),sdtasdt0(xm,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_74]) ).
tcf(c_37242,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),smndt0(sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_73]) ).
tcf(c_37243,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xb))) = sdtasdt0(xm,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37191,c_63]) ).
tcf(c_37244,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xb)),sz00) = sdtasdt0(xm,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37191,c_62]) ).
tcf(c_37245,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_61]) ).
tcf(c_37246,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_37191,c_60]) ).
tcf(c_37276,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_10820]) ).
tcf(c_37277,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_37276,c_49]) ).
tcf(c_37284,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,xb) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xb))
| ( sdtasdt0(xq,sdtpldt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3932,c_59]) ).
tcf(c_37285,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xq,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3932,c_72]) ).
tcf(c_37286,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_37285,c_53,c_3870]) ).
tcf(c_37287,plain,
( ( sdtpldt0(xq,xb) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37284,c_54,c_53,c_3870]) ).
tcf(c_37290,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_5998]) ).
tcf(c_37291,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37286,c_5844]) ).
tcf(c_37292,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_4849]) ).
tcf(c_37293,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_4744]) ).
tcf(c_37294,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_4587]) ).
tcf(c_37295,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_4303]) ).
tcf(c_37296,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_3754]) ).
tcf(c_37297,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_3178]) ).
tcf(c_37298,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_3124]) ).
tcf(c_37299,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_3080]) ).
tcf(c_37300,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_2851]) ).
tcf(c_37301,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_2623]) ).
tcf(c_37302,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_2294]) ).
tcf(c_37303,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_1883]) ).
tcf(c_37304,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_1835]) ).
tcf(c_37305,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37286,c_1774]) ).
tcf(c_37306,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_5023]) ).
tcf(c_37307,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37286,c_4917]) ).
tcf(c_37308,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_1038]) ).
tcf(c_37309,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_1004]) ).
tcf(c_37310,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_1582]) ).
tcf(c_37311,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37286,c_1264]) ).
tcf(c_37312,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1187]) ).
tcf(c_37313,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1186]) ).
tcf(c_37314,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1185]) ).
tcf(c_37315,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1184]) ).
tcf(c_37316,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1183]) ).
tcf(c_37317,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1182]) ).
tcf(c_37318,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1120]) ).
tcf(c_37319,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1119]) ).
tcf(c_37320,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1118]) ).
tcf(c_37321,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1117]) ).
tcf(c_37322,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1116]) ).
tcf(c_37323,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_1115]) ).
tcf(c_37324,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))) = smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_951]) ).
tcf(c_37325,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37286,c_937]) ).
tcf(c_37326,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37286,c_69]) ).
tcf(c_37327,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_923]) ).
tcf(c_37328,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37286,c_68]) ).
tcf(c_37329,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37286,c_77]) ).
tcf(c_37330,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37286,c_71]) ).
tcf(c_37331,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37286,c_909]) ).
tcf(c_37332,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37286,c_76]) ).
tcf(c_37333,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37286,c_70]) ).
tcf(c_37334,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))),sdtasdt0(xq,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_74]) ).
tcf(c_37335,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),smndt0(sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_73]) ).
tcf(c_37336,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xb))) = sdtasdt0(xq,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37286,c_63]) ).
tcf(c_37337,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xb)),sz00) = sdtasdt0(xq,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37286,c_62]) ).
tcf(c_37338,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_61]) ).
tcf(c_37339,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_37286,c_60]) ).
tcf(c_37368,plain,
( ( xp = sz00 )
| ( sdtpldt0(xq,xb) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xb))
| ( sdtasdt0(xp,sdtpldt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3933,c_59]) ).
tcf(c_37369,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xq,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3933,c_72]) ).
tcf(c_37370,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_37369,c_51,c_3870]) ).
tcf(c_37371,plain,
( ( sdtpldt0(xq,xb) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37368,c_52,c_51,c_3870]) ).
tcf(c_37374,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_5998]) ).
tcf(c_37375,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37370,c_5844]) ).
tcf(c_37376,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_4849]) ).
tcf(c_37377,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_4744]) ).
tcf(c_37378,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_4587]) ).
tcf(c_37379,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_4303]) ).
tcf(c_37380,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_3754]) ).
tcf(c_37381,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_3178]) ).
tcf(c_37382,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_3124]) ).
tcf(c_37383,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_3080]) ).
tcf(c_37384,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_2851]) ).
tcf(c_37385,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_2623]) ).
tcf(c_37386,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_2294]) ).
tcf(c_37387,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_1883]) ).
tcf(c_37388,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_1835]) ).
tcf(c_37389,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37370,c_1774]) ).
tcf(c_37390,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_5023]) ).
tcf(c_37391,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37370,c_4917]) ).
tcf(c_37392,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_1038]) ).
tcf(c_37393,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_1004]) ).
tcf(c_37394,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_1582]) ).
tcf(c_37395,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37370,c_1264]) ).
tcf(c_37396,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1187]) ).
tcf(c_37397,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1186]) ).
tcf(c_37398,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1185]) ).
tcf(c_37399,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1184]) ).
tcf(c_37400,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1183]) ).
tcf(c_37401,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1182]) ).
tcf(c_37402,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1120]) ).
tcf(c_37403,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1119]) ).
tcf(c_37404,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1118]) ).
tcf(c_37405,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1117]) ).
tcf(c_37406,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1116]) ).
tcf(c_37407,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_1115]) ).
tcf(c_37408,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))) = smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_951]) ).
tcf(c_37409,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37370,c_937]) ).
tcf(c_37410,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37370,c_69]) ).
tcf(c_37411,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_923]) ).
tcf(c_37412,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37370,c_68]) ).
tcf(c_37413,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37370,c_77]) ).
tcf(c_37414,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37370,c_71]) ).
tcf(c_37415,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37370,c_909]) ).
tcf(c_37416,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37370,c_76]) ).
tcf(c_37417,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37370,c_70]) ).
tcf(c_37418,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))),sdtasdt0(xp,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_74]) ).
tcf(c_37419,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),smndt0(sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_73]) ).
tcf(c_37420,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xb))) = sdtasdt0(xp,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37370,c_63]) ).
tcf(c_37421,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xb)),sz00) = sdtasdt0(xp,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37370,c_62]) ).
tcf(c_37422,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_61]) ).
tcf(c_37423,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_37370,c_60]) ).
tcf(c_37461,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_11143]) ).
tcf(c_37462,plain,
sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_37461,c_51]) ).
tcf(c_37686,plain,
( ( xb = sz00 )
| ( sdtpldt0(xq,xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xb))
| ( sdtasdt0(xb,sdtpldt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3934,c_59]) ).
tcf(c_37687,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xq,xb)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3934,c_72]) ).
tcf(c_37688,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_37687,c_50,c_3870]) ).
tcf(c_37689,plain,
( ( xb = sz00 )
| ( sdtpldt0(xq,xb) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37686,c_50,c_3870]) ).
tcf(c_37693,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_5998]) ).
tcf(c_37694,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37688,c_5844]) ).
tcf(c_37695,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_4849]) ).
tcf(c_37696,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_4744]) ).
tcf(c_37697,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_4587]) ).
tcf(c_37698,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_4303]) ).
tcf(c_37699,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_3754]) ).
tcf(c_37700,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_3178]) ).
tcf(c_37701,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_3124]) ).
tcf(c_37702,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_3080]) ).
tcf(c_37703,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_2851]) ).
tcf(c_37704,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_2623]) ).
tcf(c_37705,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_2294]) ).
tcf(c_37706,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_1883]) ).
tcf(c_37707,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_1835]) ).
tcf(c_37708,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37688,c_1774]) ).
tcf(c_37709,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_5023]) ).
tcf(c_37710,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37688,c_4917]) ).
tcf(c_37711,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_1038]) ).
tcf(c_37712,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_1004]) ).
tcf(c_37713,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_1582]) ).
tcf(c_37714,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37688,c_1264]) ).
tcf(c_37715,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1187]) ).
tcf(c_37716,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1186]) ).
tcf(c_37717,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1185]) ).
tcf(c_37718,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1184]) ).
tcf(c_37719,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1183]) ).
tcf(c_37720,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1182]) ).
tcf(c_37721,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1120]) ).
tcf(c_37722,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1119]) ).
tcf(c_37723,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1118]) ).
tcf(c_37724,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1117]) ).
tcf(c_37725,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1116]) ).
tcf(c_37726,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_1115]) ).
tcf(c_37727,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))) = smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_951]) ).
tcf(c_37728,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37688,c_937]) ).
tcf(c_37729,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37688,c_69]) ).
tcf(c_37730,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_923]) ).
tcf(c_37731,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37688,c_68]) ).
tcf(c_37732,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37688,c_77]) ).
tcf(c_37733,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37688,c_71]) ).
tcf(c_37734,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37688,c_909]) ).
tcf(c_37735,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37688,c_76]) ).
tcf(c_37736,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37688,c_70]) ).
tcf(c_37737,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))),sdtasdt0(xb,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_74]) ).
tcf(c_37738,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),smndt0(sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_73]) ).
tcf(c_37739,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xb))) = sdtasdt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37688,c_63]) ).
tcf(c_37740,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xb)),sz00) = sdtasdt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37688,c_62]) ).
tcf(c_37741,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_61]) ).
tcf(c_37742,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_37688,c_60]) ).
tcf(c_37771,plain,
( ( xa = sz00 )
| ( sdtpldt0(xq,xb) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xb))
| ( sdtasdt0(xa,sdtpldt0(xq,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3935,c_59]) ).
tcf(c_37772,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xq,xb)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3935,c_72]) ).
tcf(c_37773,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_37772,c_49,c_3870]) ).
tcf(c_37774,plain,
( ( xa = sz00 )
| ( sdtpldt0(xq,xb) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xq,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37771,c_49,c_3870]) ).
tcf(c_37778,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_5998]) ).
tcf(c_37779,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37773,c_5844]) ).
tcf(c_37780,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_4849]) ).
tcf(c_37781,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_4744]) ).
tcf(c_37782,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_4587]) ).
tcf(c_37783,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_4303]) ).
tcf(c_37784,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_3754]) ).
tcf(c_37785,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_3178]) ).
tcf(c_37786,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_3124]) ).
tcf(c_37787,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_3080]) ).
tcf(c_37788,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_2851]) ).
tcf(c_37789,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_2623]) ).
tcf(c_37790,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_2294]) ).
tcf(c_37791,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_1883]) ).
tcf(c_37792,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_1835]) ).
tcf(c_37793,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_37773,c_1774]) ).
tcf(c_37794,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_5023]) ).
tcf(c_37795,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37773,c_4917]) ).
tcf(c_37796,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_1038]) ).
tcf(c_37797,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_1004]) ).
tcf(c_37798,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_1582]) ).
tcf(c_37799,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37773,c_1264]) ).
tcf(c_37800,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1187]) ).
tcf(c_37801,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1186]) ).
tcf(c_37802,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1185]) ).
tcf(c_37803,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1184]) ).
tcf(c_37804,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1183]) ).
tcf(c_37805,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1182]) ).
tcf(c_37806,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1120]) ).
tcf(c_37807,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1119]) ).
tcf(c_37808,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1118]) ).
tcf(c_37809,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1117]) ).
tcf(c_37810,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1116]) ).
tcf(c_37811,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_1115]) ).
tcf(c_37812,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))) = smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_951]) ).
tcf(c_37813,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_37773,c_937]) ).
tcf(c_37814,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37773,c_69]) ).
tcf(c_37815,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_923]) ).
tcf(c_37816,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37773,c_68]) ).
tcf(c_37817,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37773,c_77]) ).
tcf(c_37818,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37773,c_71]) ).
tcf(c_37819,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37773,c_909]) ).
tcf(c_37820,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37773,c_76]) ).
tcf(c_37821,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37773,c_70]) ).
tcf(c_37822,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))),sdtasdt0(xa,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_74]) ).
tcf(c_37823,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),smndt0(sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_73]) ).
tcf(c_37824,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xb))) = sdtasdt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37773,c_63]) ).
tcf(c_37825,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xb)),sz00) = sdtasdt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_37773,c_62]) ).
tcf(c_37826,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_61]) ).
tcf(c_37827,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_37773,c_60]) ).
tcf(c_38039,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_11144]) ).
tcf(c_38040,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_38039,c_51]) ).
tcf(c_38047,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_11364]) ).
tcf(c_38048,plain,
sdtasdt0(sz00,sdtasdt0(xp,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_38047,c_53]) ).
tcf(c_38057,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xb,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4046,c_78]) ).
tcf(c_38058,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_38057,c_50,c_4045]) ).
tcf(c_38059,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_5998]) ).
tcf(c_38060,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38058,c_5844]) ).
tcf(c_38061,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_4849]) ).
tcf(c_38062,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_4744]) ).
tcf(c_38063,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_4587]) ).
tcf(c_38064,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_4303]) ).
tcf(c_38065,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_3754]) ).
tcf(c_38066,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_3178]) ).
tcf(c_38067,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_3124]) ).
tcf(c_38068,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_3080]) ).
tcf(c_38069,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_2851]) ).
tcf(c_38070,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_2623]) ).
tcf(c_38071,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_2294]) ).
tcf(c_38072,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_1883]) ).
tcf(c_38073,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_1835]) ).
tcf(c_38074,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38058,c_1774]) ).
tcf(c_38075,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_5023]) ).
tcf(c_38076,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38058,c_4917]) ).
tcf(c_38077,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_1038]) ).
tcf(c_38078,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_1004]) ).
tcf(c_38079,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_1582]) ).
tcf(c_38080,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38058,c_1264]) ).
tcf(c_38081,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1187]) ).
tcf(c_38082,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1186]) ).
tcf(c_38083,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1185]) ).
tcf(c_38084,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1184]) ).
tcf(c_38085,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1183]) ).
tcf(c_38086,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1182]) ).
tcf(c_38087,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1120]) ).
tcf(c_38088,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1119]) ).
tcf(c_38089,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1118]) ).
tcf(c_38090,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1117]) ).
tcf(c_38091,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1116]) ).
tcf(c_38092,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_1115]) ).
tcf(c_38093,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))) = smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_951]) ).
tcf(c_38094,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38058,c_937]) ).
tcf(c_38095,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38058,c_69]) ).
tcf(c_38096,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_923]) ).
tcf(c_38097,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38058,c_68]) ).
tcf(c_38098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38058,c_77]) ).
tcf(c_38099,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38058,c_71]) ).
tcf(c_38100,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38058,c_909]) ).
tcf(c_38101,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38058,c_76]) ).
tcf(c_38102,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38058,c_70]) ).
tcf(c_38103,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))),sdtpldt0(xb,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_74]) ).
tcf(c_38104,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),smndt0(sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_73]) ).
tcf(c_38105,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xb,xm))) = sdtpldt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38058,c_63]) ).
tcf(c_38106,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xb,xm)),sz00) = sdtpldt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38058,c_62]) ).
tcf(c_38107,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_61]) ).
tcf(c_38108,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_38058,c_60]) ).
tcf(c_38137,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xb,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4047,c_78]) ).
tcf(c_38138,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_38137,c_49,c_4045]) ).
tcf(c_38139,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_5998]) ).
tcf(c_38140,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38138,c_5844]) ).
tcf(c_38141,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_4849]) ).
tcf(c_38142,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_4744]) ).
tcf(c_38143,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_4587]) ).
tcf(c_38144,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_4303]) ).
tcf(c_38145,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_3754]) ).
tcf(c_38146,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_3178]) ).
tcf(c_38147,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_3124]) ).
tcf(c_38148,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_3080]) ).
tcf(c_38149,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_2851]) ).
tcf(c_38150,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_2623]) ).
tcf(c_38151,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_2294]) ).
tcf(c_38152,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_1883]) ).
tcf(c_38153,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_1835]) ).
tcf(c_38154,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38138,c_1774]) ).
tcf(c_38155,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_5023]) ).
tcf(c_38156,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38138,c_4917]) ).
tcf(c_38157,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_1038]) ).
tcf(c_38158,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_1004]) ).
tcf(c_38159,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_1582]) ).
tcf(c_38160,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38138,c_1264]) ).
tcf(c_38161,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1187]) ).
tcf(c_38162,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1186]) ).
tcf(c_38163,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1185]) ).
tcf(c_38164,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1184]) ).
tcf(c_38165,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1183]) ).
tcf(c_38166,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1182]) ).
tcf(c_38167,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1120]) ).
tcf(c_38168,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1119]) ).
tcf(c_38169,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1118]) ).
tcf(c_38170,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1117]) ).
tcf(c_38171,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1116]) ).
tcf(c_38172,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_1115]) ).
tcf(c_38173,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))) = smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_951]) ).
tcf(c_38174,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38138,c_937]) ).
tcf(c_38175,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38138,c_69]) ).
tcf(c_38176,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_923]) ).
tcf(c_38177,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38138,c_68]) ).
tcf(c_38178,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38138,c_77]) ).
tcf(c_38179,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38138,c_71]) ).
tcf(c_38180,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38138,c_909]) ).
tcf(c_38181,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38138,c_76]) ).
tcf(c_38182,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38138,c_70]) ).
tcf(c_38183,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))),sdtpldt0(xa,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_74]) ).
tcf(c_38184,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),smndt0(sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_73]) ).
tcf(c_38185,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xb,xm))) = sdtpldt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38138,c_63]) ).
tcf(c_38186,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xb,xm)),sz00) = sdtpldt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38138,c_62]) ).
tcf(c_38187,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_61]) ).
tcf(c_38188,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_38138,c_60]) ).
tcf(c_38390,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_3756,c_78]) ).
tcf(c_38391,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_38390,c_50,c_1633]) ).
tcf(c_38392,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_5998]) ).
tcf(c_38393,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38391,c_5844]) ).
tcf(c_38394,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_4849]) ).
tcf(c_38395,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_4744]) ).
tcf(c_38396,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_4587]) ).
tcf(c_38397,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_4303]) ).
tcf(c_38398,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_3754]) ).
tcf(c_38399,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_3178]) ).
tcf(c_38400,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_3124]) ).
tcf(c_38401,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_3080]) ).
tcf(c_38402,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_2851]) ).
tcf(c_38403,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_2623]) ).
tcf(c_38404,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_2294]) ).
tcf(c_38405,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_1883]) ).
tcf(c_38406,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_1835]) ).
tcf(c_38407,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38391,c_1774]) ).
tcf(c_38408,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_5023]) ).
tcf(c_38409,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38391,c_4917]) ).
tcf(c_38410,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_1038]) ).
tcf(c_38411,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_1004]) ).
tcf(c_38412,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_1582]) ).
tcf(c_38413,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38391,c_1264]) ).
tcf(c_38414,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1187]) ).
tcf(c_38415,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1186]) ).
tcf(c_38416,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1185]) ).
tcf(c_38417,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1184]) ).
tcf(c_38418,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1183]) ).
tcf(c_38419,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1182]) ).
tcf(c_38420,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1120]) ).
tcf(c_38421,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1119]) ).
tcf(c_38422,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1118]) ).
tcf(c_38423,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1117]) ).
tcf(c_38424,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1116]) ).
tcf(c_38425,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_1115]) ).
tcf(c_38426,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_951]) ).
tcf(c_38427,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38391,c_937]) ).
tcf(c_38428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38391,c_69]) ).
tcf(c_38429,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_923]) ).
tcf(c_38430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38391,c_68]) ).
tcf(c_38431,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38391,c_77]) ).
tcf(c_38432,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38391,c_71]) ).
tcf(c_38433,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38391,c_909]) ).
tcf(c_38434,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38391,c_76]) ).
tcf(c_38435,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38391,c_70]) ).
tcf(c_38436,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_74]) ).
tcf(c_38437,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_73]) ).
tcf(c_38438,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))) = sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_38391,c_63]) ).
tcf(c_38439,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_38391,c_62]) ).
tcf(c_38440,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_61]) ).
tcf(c_38441,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38391,c_60]) ).
tcf(c_38531,plain,
( ( sz00 = xm )
| ( sdtpldt0(xb,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xb,xm))
| ( sdtasdt0(xm,sdtpldt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4049,c_59]) ).
tcf(c_38532,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xb,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4049,c_72]) ).
tcf(c_38533,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_38532,c_56,c_4045]) ).
tcf(c_38534,plain,
( ( sz00 = xm )
| ( sdtpldt0(xb,xm) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38531,c_56,c_4045]) ).
tcf(c_38538,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_5998]) ).
tcf(c_38539,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38533,c_5844]) ).
tcf(c_38540,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_4849]) ).
tcf(c_38541,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_4744]) ).
tcf(c_38542,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_4587]) ).
tcf(c_38543,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_4303]) ).
tcf(c_38544,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_3754]) ).
tcf(c_38545,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_3178]) ).
tcf(c_38546,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_3124]) ).
tcf(c_38547,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_3080]) ).
tcf(c_38548,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_2851]) ).
tcf(c_38549,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_2623]) ).
tcf(c_38550,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_2294]) ).
tcf(c_38551,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_1883]) ).
tcf(c_38552,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_1835]) ).
tcf(c_38553,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38533,c_1774]) ).
tcf(c_38554,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_5023]) ).
tcf(c_38555,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38533,c_4917]) ).
tcf(c_38556,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_1038]) ).
tcf(c_38557,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_1004]) ).
tcf(c_38558,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_1582]) ).
tcf(c_38559,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38533,c_1264]) ).
tcf(c_38560,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1187]) ).
tcf(c_38561,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1186]) ).
tcf(c_38562,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1185]) ).
tcf(c_38563,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1184]) ).
tcf(c_38564,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1183]) ).
tcf(c_38565,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1182]) ).
tcf(c_38566,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1120]) ).
tcf(c_38567,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1119]) ).
tcf(c_38568,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1118]) ).
tcf(c_38569,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1117]) ).
tcf(c_38570,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1116]) ).
tcf(c_38571,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_1115]) ).
tcf(c_38572,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))) = smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_951]) ).
tcf(c_38573,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38533,c_937]) ).
tcf(c_38574,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38533,c_69]) ).
tcf(c_38575,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_923]) ).
tcf(c_38576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38533,c_68]) ).
tcf(c_38577,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38533,c_77]) ).
tcf(c_38578,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38533,c_71]) ).
tcf(c_38579,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38533,c_909]) ).
tcf(c_38580,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38533,c_76]) ).
tcf(c_38581,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38533,c_70]) ).
tcf(c_38582,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))),sdtasdt0(xm,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_74]) ).
tcf(c_38583,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),smndt0(sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_73]) ).
tcf(c_38584,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xb,xm))) = sdtasdt0(xm,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38533,c_63]) ).
tcf(c_38585,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xb,xm)),sz00) = sdtasdt0(xm,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38533,c_62]) ).
tcf(c_38586,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_61]) ).
tcf(c_38587,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_38533,c_60]) ).
tcf(c_38639,plain,
( ( sz00 = xq )
| ( sdtpldt0(xb,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xb,xm))
| ( sdtasdt0(xq,sdtpldt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4050,c_59]) ).
tcf(c_38640,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xb,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4050,c_72]) ).
tcf(c_38641,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_38640,c_53,c_4045]) ).
tcf(c_38642,plain,
( ( sdtpldt0(xb,xm) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38639,c_54,c_53,c_4045]) ).
tcf(c_38645,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_5998]) ).
tcf(c_38646,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38641,c_5844]) ).
tcf(c_38647,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_4849]) ).
tcf(c_38648,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_4744]) ).
tcf(c_38649,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_4587]) ).
tcf(c_38650,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_4303]) ).
tcf(c_38651,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_3754]) ).
tcf(c_38652,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_3178]) ).
tcf(c_38653,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_3124]) ).
tcf(c_38654,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_3080]) ).
tcf(c_38655,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_2851]) ).
tcf(c_38656,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_2623]) ).
tcf(c_38657,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_2294]) ).
tcf(c_38658,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_1883]) ).
tcf(c_38659,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_1835]) ).
tcf(c_38660,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_38641,c_1774]) ).
tcf(c_38661,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_5023]) ).
tcf(c_38662,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38641,c_4917]) ).
tcf(c_38663,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_1038]) ).
tcf(c_38664,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_1004]) ).
tcf(c_38665,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_1582]) ).
tcf(c_38666,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38641,c_1264]) ).
tcf(c_38667,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1187]) ).
tcf(c_38668,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1186]) ).
tcf(c_38669,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1185]) ).
tcf(c_38670,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1184]) ).
tcf(c_38671,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1183]) ).
tcf(c_38672,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1182]) ).
tcf(c_38673,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1120]) ).
tcf(c_38674,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1119]) ).
tcf(c_38675,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1118]) ).
tcf(c_38676,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1117]) ).
tcf(c_38677,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1116]) ).
tcf(c_38678,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_1115]) ).
tcf(c_38679,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))) = smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_951]) ).
tcf(c_38680,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_38641,c_937]) ).
tcf(c_38681,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38641,c_69]) ).
tcf(c_38682,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_923]) ).
tcf(c_38683,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38641,c_68]) ).
tcf(c_38684,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38641,c_77]) ).
tcf(c_38685,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38641,c_71]) ).
tcf(c_38686,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38641,c_909]) ).
tcf(c_38687,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38641,c_76]) ).
tcf(c_38688,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38641,c_70]) ).
tcf(c_38689,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))),sdtasdt0(xq,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_74]) ).
tcf(c_38690,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),smndt0(sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_73]) ).
tcf(c_38691,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xb,xm))) = sdtasdt0(xq,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38641,c_63]) ).
tcf(c_38692,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xb,xm)),sz00) = sdtasdt0(xq,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_38641,c_62]) ).
tcf(c_38693,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_61]) ).
tcf(c_38694,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_38641,c_60]) ).
tcf(c_38951,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_3765,c_78]) ).
tcf(c_38952,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_38951,c_50,c_3596]) ).
tcf(c_38953,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_5998]) ).
tcf(c_38954,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38952,c_5844]) ).
tcf(c_38955,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_4849]) ).
tcf(c_38956,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_4744]) ).
tcf(c_38957,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_4587]) ).
tcf(c_38958,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_4303]) ).
tcf(c_38959,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_3754]) ).
tcf(c_38960,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_3178]) ).
tcf(c_38961,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_3124]) ).
tcf(c_38962,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_3080]) ).
tcf(c_38963,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_2851]) ).
tcf(c_38964,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_2623]) ).
tcf(c_38965,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_2294]) ).
tcf(c_38966,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_1883]) ).
tcf(c_38967,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_1835]) ).
tcf(c_38968,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_38952,c_1774]) ).
tcf(c_38969,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_5023]) ).
tcf(c_38970,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38952,c_4917]) ).
tcf(c_38971,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_1038]) ).
tcf(c_38972,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_1004]) ).
tcf(c_38973,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_1582]) ).
tcf(c_38974,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38952,c_1264]) ).
tcf(c_38975,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1187]) ).
tcf(c_38976,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1186]) ).
tcf(c_38977,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1185]) ).
tcf(c_38978,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1184]) ).
tcf(c_38979,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1183]) ).
tcf(c_38980,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1182]) ).
tcf(c_38981,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1120]) ).
tcf(c_38982,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1119]) ).
tcf(c_38983,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1118]) ).
tcf(c_38984,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1117]) ).
tcf(c_38985,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1116]) ).
tcf(c_38986,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_1115]) ).
tcf(c_38987,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_951]) ).
tcf(c_38988,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_38952,c_937]) ).
tcf(c_38989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38952,c_69]) ).
tcf(c_38990,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_923]) ).
tcf(c_38991,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38952,c_68]) ).
tcf(c_38992,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38952,c_77]) ).
tcf(c_38993,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38952,c_71]) ).
tcf(c_38994,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38952,c_909]) ).
tcf(c_38995,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38952,c_76]) ).
tcf(c_38996,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38952,c_70]) ).
tcf(c_38997,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_74]) ).
tcf(c_38998,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_73]) ).
tcf(c_38999,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38952,c_63]) ).
tcf(c_39000,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_38952,c_62]) ).
tcf(c_39001,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_61]) ).
tcf(c_39002,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38952,c_60]) ).
tcf(c_39077,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_11365]) ).
tcf(c_39078,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39077,c_53]) ).
tcf(c_39085,plain,
( ( xp = sz00 )
| ( sdtpldt0(xb,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xb,xm))
| ( sdtasdt0(xp,sdtpldt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4051,c_59]) ).
tcf(c_39086,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xb,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4051,c_72]) ).
tcf(c_39087,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_39086,c_51,c_4045]) ).
tcf(c_39088,plain,
( ( sdtpldt0(xb,xm) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39085,c_52,c_51,c_4045]) ).
tcf(c_39094,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_5998]) ).
tcf(c_39095,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39087,c_5844]) ).
tcf(c_39096,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_4849]) ).
tcf(c_39097,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_4744]) ).
tcf(c_39098,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_4587]) ).
tcf(c_39099,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_4303]) ).
tcf(c_39100,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_3754]) ).
tcf(c_39101,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_3178]) ).
tcf(c_39102,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_3124]) ).
tcf(c_39103,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_3080]) ).
tcf(c_39104,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_2851]) ).
tcf(c_39105,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_2623]) ).
tcf(c_39106,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_2294]) ).
tcf(c_39107,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_1883]) ).
tcf(c_39108,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_1835]) ).
tcf(c_39109,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39087,c_1774]) ).
tcf(c_39110,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_5023]) ).
tcf(c_39111,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39087,c_4917]) ).
tcf(c_39112,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_1038]) ).
tcf(c_39113,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_1004]) ).
tcf(c_39114,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_1582]) ).
tcf(c_39115,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39087,c_1264]) ).
tcf(c_39116,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1187]) ).
tcf(c_39117,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1186]) ).
tcf(c_39118,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1185]) ).
tcf(c_39119,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1184]) ).
tcf(c_39120,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1183]) ).
tcf(c_39121,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1182]) ).
tcf(c_39122,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1120]) ).
tcf(c_39123,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1119]) ).
tcf(c_39124,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1118]) ).
tcf(c_39125,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1117]) ).
tcf(c_39126,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1116]) ).
tcf(c_39127,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_1115]) ).
tcf(c_39128,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))) = smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_951]) ).
tcf(c_39129,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39087,c_937]) ).
tcf(c_39130,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39087,c_69]) ).
tcf(c_39131,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_923]) ).
tcf(c_39132,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39087,c_68]) ).
tcf(c_39133,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39087,c_77]) ).
tcf(c_39134,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39087,c_71]) ).
tcf(c_39135,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39087,c_909]) ).
tcf(c_39136,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39087,c_76]) ).
tcf(c_39137,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39087,c_70]) ).
tcf(c_39138,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))),sdtasdt0(xp,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_74]) ).
tcf(c_39139,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),smndt0(sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_73]) ).
tcf(c_39140,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xb,xm))) = sdtasdt0(xp,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_39087,c_63]) ).
tcf(c_39141,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xb,xm)),sz00) = sdtasdt0(xp,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_39087,c_62]) ).
tcf(c_39142,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_61]) ).
tcf(c_39143,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39087,c_60]) ).
tcf(c_39227,plain,
( ( xb = sz00 )
| ( sdtpldt0(xb,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xb,xm))
| ( sdtasdt0(xb,sdtpldt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4052,c_59]) ).
tcf(c_39228,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xb,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4052,c_72]) ).
tcf(c_39229,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_39228,c_50,c_4045]) ).
tcf(c_39230,plain,
( ( xb = sz00 )
| ( sdtpldt0(xb,xm) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39227,c_50,c_4045]) ).
tcf(c_39234,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_5998]) ).
tcf(c_39235,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39229,c_5844]) ).
tcf(c_39236,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_4849]) ).
tcf(c_39237,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_4744]) ).
tcf(c_39238,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_4587]) ).
tcf(c_39239,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_4303]) ).
tcf(c_39240,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_3754]) ).
tcf(c_39241,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_3178]) ).
tcf(c_39242,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_3124]) ).
tcf(c_39243,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_3080]) ).
tcf(c_39244,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_2851]) ).
tcf(c_39245,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_2623]) ).
tcf(c_39246,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_2294]) ).
tcf(c_39247,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_1883]) ).
tcf(c_39248,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_1835]) ).
tcf(c_39249,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39229,c_1774]) ).
tcf(c_39250,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_5023]) ).
tcf(c_39251,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39229,c_4917]) ).
tcf(c_39252,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_1038]) ).
tcf(c_39253,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_1004]) ).
tcf(c_39254,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_1582]) ).
tcf(c_39255,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39229,c_1264]) ).
tcf(c_39256,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1187]) ).
tcf(c_39257,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1186]) ).
tcf(c_39258,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1185]) ).
tcf(c_39259,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1184]) ).
tcf(c_39260,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1183]) ).
tcf(c_39261,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1182]) ).
tcf(c_39262,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1120]) ).
tcf(c_39263,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1119]) ).
tcf(c_39264,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1118]) ).
tcf(c_39265,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1117]) ).
tcf(c_39266,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1116]) ).
tcf(c_39267,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_1115]) ).
tcf(c_39268,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))) = smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_951]) ).
tcf(c_39269,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39229,c_937]) ).
tcf(c_39270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39229,c_69]) ).
tcf(c_39271,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_923]) ).
tcf(c_39272,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39229,c_68]) ).
tcf(c_39273,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39229,c_77]) ).
tcf(c_39274,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39229,c_71]) ).
tcf(c_39275,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39229,c_909]) ).
tcf(c_39276,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39229,c_76]) ).
tcf(c_39277,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39229,c_70]) ).
tcf(c_39278,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))),sdtasdt0(xb,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_74]) ).
tcf(c_39279,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),smndt0(sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_73]) ).
tcf(c_39280,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xb,xm))) = sdtasdt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_39229,c_63]) ).
tcf(c_39281,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xb,xm)),sz00) = sdtasdt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_39229,c_62]) ).
tcf(c_39282,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_61]) ).
tcf(c_39283,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39229,c_60]) ).
tcf(c_39507,plain,
( ( xa = sz00 )
| ( sdtpldt0(xb,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xb,xm))
| ( sdtasdt0(xa,sdtpldt0(xb,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4053,c_59]) ).
tcf(c_39508,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xb,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4053,c_72]) ).
tcf(c_39509,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_39508,c_49,c_4045]) ).
tcf(c_39510,plain,
( ( xa = sz00 )
| ( sdtpldt0(xb,xm) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xb,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39507,c_49,c_4045]) ).
tcf(c_39514,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_5998]) ).
tcf(c_39515,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39509,c_5844]) ).
tcf(c_39516,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_4849]) ).
tcf(c_39517,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_4744]) ).
tcf(c_39518,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_4587]) ).
tcf(c_39519,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_4303]) ).
tcf(c_39520,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_3754]) ).
tcf(c_39521,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_3178]) ).
tcf(c_39522,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_3124]) ).
tcf(c_39523,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_3080]) ).
tcf(c_39524,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_2851]) ).
tcf(c_39525,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_2623]) ).
tcf(c_39526,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_2294]) ).
tcf(c_39527,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_1883]) ).
tcf(c_39528,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_1835]) ).
tcf(c_39529,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_39509,c_1774]) ).
tcf(c_39530,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_5023]) ).
tcf(c_39531,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39509,c_4917]) ).
tcf(c_39532,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_1038]) ).
tcf(c_39533,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_1004]) ).
tcf(c_39534,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_1582]) ).
tcf(c_39535,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39509,c_1264]) ).
tcf(c_39536,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1187]) ).
tcf(c_39537,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1186]) ).
tcf(c_39538,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1185]) ).
tcf(c_39539,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1184]) ).
tcf(c_39540,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1183]) ).
tcf(c_39541,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1182]) ).
tcf(c_39542,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1120]) ).
tcf(c_39543,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1119]) ).
tcf(c_39544,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1118]) ).
tcf(c_39545,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1117]) ).
tcf(c_39546,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1116]) ).
tcf(c_39547,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_1115]) ).
tcf(c_39548,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))) = smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_951]) ).
tcf(c_39549,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_39509,c_937]) ).
tcf(c_39550,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39509,c_69]) ).
tcf(c_39551,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_923]) ).
tcf(c_39552,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39509,c_68]) ).
tcf(c_39553,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39509,c_77]) ).
tcf(c_39554,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39509,c_71]) ).
tcf(c_39555,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39509,c_909]) ).
tcf(c_39556,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39509,c_76]) ).
tcf(c_39557,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39509,c_70]) ).
tcf(c_39558,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))),sdtasdt0(xa,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_74]) ).
tcf(c_39559,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),smndt0(sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_73]) ).
tcf(c_39560,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xb,xm))) = sdtasdt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_39509,c_63]) ).
tcf(c_39561,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xb,xm)),sz00) = sdtasdt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_39509,c_62]) ).
tcf(c_39562,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_61]) ).
tcf(c_39563,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39509,c_60]) ).
tcf(c_39623,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xp,xq)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4306,c_78]) ).
tcf(c_39624,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_39623,c_51,c_2661]) ).
tcf(c_39625,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_5998]) ).
tcf(c_39626,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39624,c_5844]) ).
tcf(c_39627,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_4849]) ).
tcf(c_39628,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_4744]) ).
tcf(c_39629,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_4587]) ).
tcf(c_39630,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_4303]) ).
tcf(c_39631,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_3754]) ).
tcf(c_39632,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_3178]) ).
tcf(c_39633,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_3124]) ).
tcf(c_39634,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_3080]) ).
tcf(c_39635,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_2851]) ).
tcf(c_39636,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_2623]) ).
tcf(c_39637,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_2294]) ).
tcf(c_39638,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_1883]) ).
tcf(c_39639,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_1835]) ).
tcf(c_39640,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_39624,c_1774]) ).
tcf(c_39641,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_5023]) ).
tcf(c_39642,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39624,c_4917]) ).
tcf(c_39643,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_1038]) ).
tcf(c_39644,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_1004]) ).
tcf(c_39645,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_1582]) ).
tcf(c_39646,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39624,c_1264]) ).
tcf(c_39647,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1187]) ).
tcf(c_39648,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1186]) ).
tcf(c_39649,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1185]) ).
tcf(c_39650,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1184]) ).
tcf(c_39651,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1183]) ).
tcf(c_39652,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1182]) ).
tcf(c_39653,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1120]) ).
tcf(c_39654,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1119]) ).
tcf(c_39655,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1118]) ).
tcf(c_39656,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1117]) ).
tcf(c_39657,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1116]) ).
tcf(c_39658,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_1115]) ).
tcf(c_39659,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_951]) ).
tcf(c_39660,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_39624,c_937]) ).
tcf(c_39661,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39624,c_69]) ).
tcf(c_39662,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_923]) ).
tcf(c_39663,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39624,c_68]) ).
tcf(c_39664,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39624,c_77]) ).
tcf(c_39665,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39624,c_71]) ).
tcf(c_39666,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39624,c_909]) ).
tcf(c_39667,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39624,c_76]) ).
tcf(c_39668,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39624,c_70]) ).
tcf(c_39669,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))),sdtpldt0(xp,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_74]) ).
tcf(c_39670,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),smndt0(sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_73]) ).
tcf(c_39671,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xq))) = sdtpldt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_39624,c_63]) ).
tcf(c_39672,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xq)),sz00) = sdtpldt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_39624,c_62]) ).
tcf(c_39673,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_61]) ).
tcf(c_39674,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39624,c_60]) ).
tcf(c_39759,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_11535]) ).
tcf(c_39760,plain,
sdtasdt0(sz00,sdtasdt0(xp,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39759,c_56]) ).
tcf(c_39767,plain,
( ( sdtasdt0(sdtasdt0(xp,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_11536]) ).
tcf(c_39768,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39767,c_56]) ).
tcf(c_39771,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xp,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_4307,c_78]) ).
tcf(c_39772,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_39771,c_51,c_1975]) ).
tcf(c_39773,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_5998]) ).
tcf(c_39774,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39772,c_5844]) ).
tcf(c_39775,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_4849]) ).
tcf(c_39776,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_4744]) ).
tcf(c_39777,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_4587]) ).
tcf(c_39778,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_4303]) ).
tcf(c_39779,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_3754]) ).
tcf(c_39780,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_3178]) ).
tcf(c_39781,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_3124]) ).
tcf(c_39782,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_3080]) ).
tcf(c_39783,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_2851]) ).
tcf(c_39784,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_2623]) ).
tcf(c_39785,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_2294]) ).
tcf(c_39786,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_1883]) ).
tcf(c_39787,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_1835]) ).
tcf(c_39788,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_39772,c_1774]) ).
tcf(c_39789,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_5023]) ).
tcf(c_39790,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39772,c_4917]) ).
tcf(c_39791,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_1038]) ).
tcf(c_39792,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_1004]) ).
tcf(c_39793,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_1582]) ).
tcf(c_39794,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39772,c_1264]) ).
tcf(c_39795,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1187]) ).
tcf(c_39796,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1186]) ).
tcf(c_39797,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1185]) ).
tcf(c_39798,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1184]) ).
tcf(c_39799,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1183]) ).
tcf(c_39800,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1182]) ).
tcf(c_39801,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1120]) ).
tcf(c_39802,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1119]) ).
tcf(c_39803,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1118]) ).
tcf(c_39804,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1117]) ).
tcf(c_39805,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1116]) ).
tcf(c_39806,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_1115]) ).
tcf(c_39807,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_951]) ).
tcf(c_39808,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_39772,c_937]) ).
tcf(c_39809,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39772,c_69]) ).
tcf(c_39810,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_923]) ).
tcf(c_39811,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39772,c_68]) ).
tcf(c_39812,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39772,c_77]) ).
tcf(c_39813,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39772,c_71]) ).
tcf(c_39814,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39772,c_909]) ).
tcf(c_39815,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39772,c_76]) ).
tcf(c_39816,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39772,c_70]) ).
tcf(c_39817,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))),sdtpldt0(xp,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_74]) ).
tcf(c_39818,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),smndt0(sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_73]) ).
tcf(c_39819,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xa))) = sdtpldt0(xp,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_39772,c_63]) ).
tcf(c_39820,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xa)),sz00) = sdtpldt0(xp,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_39772,c_62]) ).
tcf(c_39821,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_61]) ).
tcf(c_39822,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39772,c_60]) ).
tcf(c_39884,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xa,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_4308,c_78]) ).
tcf(c_39885,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_39884,c_51,c_1914]) ).
tcf(c_39888,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_5998]) ).
tcf(c_39889,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39885,c_5844]) ).
tcf(c_39890,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_4849]) ).
tcf(c_39891,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_4744]) ).
tcf(c_39892,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_4587]) ).
tcf(c_39893,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_4303]) ).
tcf(c_39894,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_3754]) ).
tcf(c_39895,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_3178]) ).
tcf(c_39896,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_3124]) ).
tcf(c_39897,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_3080]) ).
tcf(c_39898,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_2851]) ).
tcf(c_39899,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_2623]) ).
tcf(c_39900,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_2294]) ).
tcf(c_39901,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_1883]) ).
tcf(c_39902,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_1835]) ).
tcf(c_39903,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_39885,c_1774]) ).
tcf(c_39904,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_5023]) ).
tcf(c_39905,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39885,c_4917]) ).
tcf(c_39906,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_1038]) ).
tcf(c_39907,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_1004]) ).
tcf(c_39908,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_1582]) ).
tcf(c_39909,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39885,c_1264]) ).
tcf(c_39910,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1187]) ).
tcf(c_39911,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1186]) ).
tcf(c_39912,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1185]) ).
tcf(c_39913,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1184]) ).
tcf(c_39914,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1183]) ).
tcf(c_39915,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1182]) ).
tcf(c_39916,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1120]) ).
tcf(c_39917,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1119]) ).
tcf(c_39918,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1118]) ).
tcf(c_39919,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1117]) ).
tcf(c_39920,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1116]) ).
tcf(c_39921,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_1115]) ).
tcf(c_39922,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))) = smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_951]) ).
tcf(c_39923,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_39885,c_937]) ).
tcf(c_39924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39885,c_69]) ).
tcf(c_39925,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_923]) ).
tcf(c_39926,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39885,c_68]) ).
tcf(c_39927,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39885,c_77]) ).
tcf(c_39928,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39885,c_71]) ).
tcf(c_39929,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39885,c_909]) ).
tcf(c_39930,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39885,c_76]) ).
tcf(c_39931,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39885,c_70]) ).
tcf(c_39932,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))),sdtpldt0(xp,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_74]) ).
tcf(c_39933,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),smndt0(sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_73]) ).
tcf(c_39934,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xb))) = sdtpldt0(xp,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_39885,c_63]) ).
tcf(c_39935,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xb)),sz00) = sdtpldt0(xp,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_39885,c_62]) ).
tcf(c_39936,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_61]) ).
tcf(c_39937,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39885,c_60]) ).
tcf(c_40210,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4127,c_78]) ).
tcf(c_40211,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_40210,c_50,c_4122]) ).
tcf(c_40235,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_5998]) ).
tcf(c_40236,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40211,c_5844]) ).
tcf(c_40237,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_4849]) ).
tcf(c_40238,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_4744]) ).
tcf(c_40239,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_4587]) ).
tcf(c_40240,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_4303]) ).
tcf(c_40241,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_3754]) ).
tcf(c_40242,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_3178]) ).
tcf(c_40243,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_3124]) ).
tcf(c_40244,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_3080]) ).
tcf(c_40245,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_2851]) ).
tcf(c_40246,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_2623]) ).
tcf(c_40247,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_2294]) ).
tcf(c_40248,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_1883]) ).
tcf(c_40249,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_1835]) ).
tcf(c_40250,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40211,c_1774]) ).
tcf(c_40251,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_5023]) ).
tcf(c_40252,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40211,c_4917]) ).
tcf(c_40253,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_1038]) ).
tcf(c_40254,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_1004]) ).
tcf(c_40255,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_1582]) ).
tcf(c_40256,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40211,c_1264]) ).
tcf(c_40257,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1187]) ).
tcf(c_40258,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1186]) ).
tcf(c_40259,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1185]) ).
tcf(c_40260,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1184]) ).
tcf(c_40261,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1183]) ).
tcf(c_40262,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1182]) ).
tcf(c_40263,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1120]) ).
tcf(c_40264,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1119]) ).
tcf(c_40265,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1118]) ).
tcf(c_40266,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1117]) ).
tcf(c_40267,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1116]) ).
tcf(c_40268,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_1115]) ).
tcf(c_40269,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_951]) ).
tcf(c_40270,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40211,c_937]) ).
tcf(c_40271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40211,c_69]) ).
tcf(c_40272,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_923]) ).
tcf(c_40273,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40211,c_68]) ).
tcf(c_40274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40211,c_77]) ).
tcf(c_40275,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40211,c_71]) ).
tcf(c_40276,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40211,c_909]) ).
tcf(c_40277,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40211,c_76]) ).
tcf(c_40278,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40211,c_70]) ).
tcf(c_40279,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_74]) ).
tcf(c_40280,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_73]) ).
tcf(c_40281,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_40211,c_63]) ).
tcf(c_40282,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_40211,c_62]) ).
tcf(c_40283,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_61]) ).
tcf(c_40284,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40211,c_60]) ).
tcf(c_40336,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_11893]) ).
tcf(c_40337,plain,
sdtasdt0(sz00,sdtasdt0(xq,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40336,c_49]) ).
tcf(c_40340,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xq,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_4309,c_78]) ).
tcf(c_40341,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_40340,c_51,c_2091]) ).
tcf(c_40342,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_5998]) ).
tcf(c_40343,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40341,c_5844]) ).
tcf(c_40344,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_4849]) ).
tcf(c_40345,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_4744]) ).
tcf(c_40346,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_4587]) ).
tcf(c_40347,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_4303]) ).
tcf(c_40348,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_3754]) ).
tcf(c_40349,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_3178]) ).
tcf(c_40350,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_3124]) ).
tcf(c_40351,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_3080]) ).
tcf(c_40352,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_2851]) ).
tcf(c_40353,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_2623]) ).
tcf(c_40354,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_2294]) ).
tcf(c_40355,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_1883]) ).
tcf(c_40356,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_1835]) ).
tcf(c_40357,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_40341,c_1774]) ).
tcf(c_40358,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_5023]) ).
tcf(c_40359,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40341,c_4917]) ).
tcf(c_40360,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_1038]) ).
tcf(c_40361,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_1004]) ).
tcf(c_40362,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_1582]) ).
tcf(c_40363,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40341,c_1264]) ).
tcf(c_40364,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1187]) ).
tcf(c_40365,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1186]) ).
tcf(c_40366,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1185]) ).
tcf(c_40367,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1184]) ).
tcf(c_40368,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1183]) ).
tcf(c_40369,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1182]) ).
tcf(c_40370,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1120]) ).
tcf(c_40371,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1119]) ).
tcf(c_40372,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1118]) ).
tcf(c_40373,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1117]) ).
tcf(c_40374,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1116]) ).
tcf(c_40375,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_1115]) ).
tcf(c_40376,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))) = smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_951]) ).
tcf(c_40377,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_40341,c_937]) ).
tcf(c_40378,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40341,c_69]) ).
tcf(c_40379,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_923]) ).
tcf(c_40380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40341,c_68]) ).
tcf(c_40381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40341,c_77]) ).
tcf(c_40382,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40341,c_71]) ).
tcf(c_40383,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40341,c_909]) ).
tcf(c_40384,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40341,c_76]) ).
tcf(c_40385,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40341,c_70]) ).
tcf(c_40386,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))),sdtpldt0(xp,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_74]) ).
tcf(c_40387,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),smndt0(sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_73]) ).
tcf(c_40388,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xa))) = sdtpldt0(xp,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_40341,c_63]) ).
tcf(c_40389,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xa)),sz00) = sdtpldt0(xp,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_40341,c_62]) ).
tcf(c_40390,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_61]) ).
tcf(c_40391,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_40341,c_60]) ).
tcf(c_40443,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xa,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_4310,c_78]) ).
tcf(c_40444,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_40443,c_51,c_2166]) ).
tcf(c_40445,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_5998]) ).
tcf(c_40446,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40444,c_5844]) ).
tcf(c_40447,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_4849]) ).
tcf(c_40448,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_4744]) ).
tcf(c_40449,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_4587]) ).
tcf(c_40450,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_4303]) ).
tcf(c_40451,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_3754]) ).
tcf(c_40452,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_3178]) ).
tcf(c_40453,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_3124]) ).
tcf(c_40454,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_3080]) ).
tcf(c_40455,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_2851]) ).
tcf(c_40456,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_2623]) ).
tcf(c_40457,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_2294]) ).
tcf(c_40458,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_1883]) ).
tcf(c_40459,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_1835]) ).
tcf(c_40460,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_40444,c_1774]) ).
tcf(c_40461,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_5023]) ).
tcf(c_40462,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40444,c_4917]) ).
tcf(c_40463,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_1038]) ).
tcf(c_40464,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_1004]) ).
tcf(c_40465,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_1582]) ).
tcf(c_40466,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40444,c_1264]) ).
tcf(c_40467,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1187]) ).
tcf(c_40468,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1186]) ).
tcf(c_40469,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1185]) ).
tcf(c_40470,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1184]) ).
tcf(c_40471,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1183]) ).
tcf(c_40472,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1182]) ).
tcf(c_40473,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1120]) ).
tcf(c_40474,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1119]) ).
tcf(c_40475,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1118]) ).
tcf(c_40476,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1117]) ).
tcf(c_40477,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1116]) ).
tcf(c_40478,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_1115]) ).
tcf(c_40479,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))) = smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_951]) ).
tcf(c_40480,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_40444,c_937]) ).
tcf(c_40481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40444,c_69]) ).
tcf(c_40482,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_923]) ).
tcf(c_40483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40444,c_68]) ).
tcf(c_40484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40444,c_77]) ).
tcf(c_40485,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40444,c_71]) ).
tcf(c_40486,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40444,c_909]) ).
tcf(c_40487,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40444,c_76]) ).
tcf(c_40488,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40444,c_70]) ).
tcf(c_40489,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))),sdtpldt0(xp,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_74]) ).
tcf(c_40490,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),smndt0(sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_73]) ).
tcf(c_40491,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xm))) = sdtpldt0(xp,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_40444,c_63]) ).
tcf(c_40492,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,xm)),sz00) = sdtpldt0(xp,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_40444,c_62]) ).
tcf(c_40493,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_61]) ).
tcf(c_40494,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_40444,c_60]) ).
tcf(c_40754,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4128,c_78]) ).
tcf(c_40755,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_40754,c_49,c_4122]) ).
tcf(c_40756,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_5998]) ).
tcf(c_40757,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40755,c_5844]) ).
tcf(c_40758,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_4849]) ).
tcf(c_40759,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_4744]) ).
tcf(c_40760,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_4587]) ).
tcf(c_40761,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_4303]) ).
tcf(c_40762,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_3754]) ).
tcf(c_40763,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_3178]) ).
tcf(c_40764,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_3124]) ).
tcf(c_40765,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_3080]) ).
tcf(c_40766,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_2851]) ).
tcf(c_40767,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_2623]) ).
tcf(c_40768,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_2294]) ).
tcf(c_40769,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_1883]) ).
tcf(c_40770,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_1835]) ).
tcf(c_40771,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_40755,c_1774]) ).
tcf(c_40772,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_5023]) ).
tcf(c_40773,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40755,c_4917]) ).
tcf(c_40774,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_1038]) ).
tcf(c_40775,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_1004]) ).
tcf(c_40776,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_1582]) ).
tcf(c_40777,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40755,c_1264]) ).
tcf(c_40778,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1187]) ).
tcf(c_40779,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1186]) ).
tcf(c_40780,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1185]) ).
tcf(c_40781,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1184]) ).
tcf(c_40782,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1183]) ).
tcf(c_40783,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1182]) ).
tcf(c_40784,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1120]) ).
tcf(c_40785,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1119]) ).
tcf(c_40786,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1118]) ).
tcf(c_40787,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1117]) ).
tcf(c_40788,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1116]) ).
tcf(c_40789,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_1115]) ).
tcf(c_40790,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_951]) ).
tcf(c_40791,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_40755,c_937]) ).
tcf(c_40792,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40755,c_69]) ).
tcf(c_40793,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_923]) ).
tcf(c_40794,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40755,c_68]) ).
tcf(c_40795,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40755,c_77]) ).
tcf(c_40796,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40755,c_71]) ).
tcf(c_40797,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40755,c_909]) ).
tcf(c_40798,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40755,c_76]) ).
tcf(c_40799,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40755,c_70]) ).
tcf(c_40800,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_74]) ).
tcf(c_40801,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_73]) ).
tcf(c_40802,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_40755,c_63]) ).
tcf(c_40803,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_40755,c_62]) ).
tcf(c_40804,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_61]) ).
tcf(c_40805,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40755,c_60]) ).
tcf(c_40857,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_11894]) ).
tcf(c_40858,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40857,c_49]) ).
tcf(c_40863,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xp,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_4311,c_78]) ).
tcf(c_40864,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_40863,c_51,c_2315]) ).
tcf(c_40865,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_5998]) ).
tcf(c_40866,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40864,c_5844]) ).
tcf(c_40867,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_4849]) ).
tcf(c_40868,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_4744]) ).
tcf(c_40869,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_4587]) ).
tcf(c_40870,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_4303]) ).
tcf(c_40871,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_3754]) ).
tcf(c_40872,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_3178]) ).
tcf(c_40873,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_3124]) ).
tcf(c_40874,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_3080]) ).
tcf(c_40875,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_2851]) ).
tcf(c_40876,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_2623]) ).
tcf(c_40877,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_2294]) ).
tcf(c_40878,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_1883]) ).
tcf(c_40879,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_1835]) ).
tcf(c_40880,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_40864,c_1774]) ).
tcf(c_40881,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_5023]) ).
tcf(c_40882,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40864,c_4917]) ).
tcf(c_40883,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_1038]) ).
tcf(c_40884,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_1004]) ).
tcf(c_40885,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_1582]) ).
tcf(c_40886,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40864,c_1264]) ).
tcf(c_40887,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1187]) ).
tcf(c_40888,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1186]) ).
tcf(c_40889,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1185]) ).
tcf(c_40890,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1184]) ).
tcf(c_40891,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1183]) ).
tcf(c_40892,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1182]) ).
tcf(c_40893,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1120]) ).
tcf(c_40894,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1119]) ).
tcf(c_40895,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1118]) ).
tcf(c_40896,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1117]) ).
tcf(c_40897,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1116]) ).
tcf(c_40898,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_1115]) ).
tcf(c_40899,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_951]) ).
tcf(c_40900,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_40864,c_937]) ).
tcf(c_40901,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40864,c_69]) ).
tcf(c_40902,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_923]) ).
tcf(c_40903,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40864,c_68]) ).
tcf(c_40904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40864,c_77]) ).
tcf(c_40905,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40864,c_71]) ).
tcf(c_40906,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40864,c_909]) ).
tcf(c_40907,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40864,c_76]) ).
tcf(c_40908,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40864,c_70]) ).
tcf(c_40909,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))),sdtpldt0(xp,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_74]) ).
tcf(c_40910,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),smndt0(sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_73]) ).
tcf(c_40911,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xb))) = sdtpldt0(xp,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_40864,c_63]) ).
tcf(c_40912,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xb)),sz00) = sdtpldt0(xp,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_40864,c_62]) ).
tcf(c_40913,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_61]) ).
tcf(c_40914,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_40864,c_60]) ).
tcf(c_40989,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xq,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_4312,c_78]) ).
tcf(c_40990,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_40989,c_51,c_2420]) ).
tcf(c_40991,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_5998]) ).
tcf(c_40992,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40990,c_5844]) ).
tcf(c_40993,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_4849]) ).
tcf(c_40994,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_4744]) ).
tcf(c_40995,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_4587]) ).
tcf(c_40996,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_4303]) ).
tcf(c_40997,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_3754]) ).
tcf(c_40998,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_3178]) ).
tcf(c_40999,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_3124]) ).
tcf(c_41000,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_3080]) ).
tcf(c_41001,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_2851]) ).
tcf(c_41002,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_2623]) ).
tcf(c_41003,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_2294]) ).
tcf(c_41004,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_1883]) ).
tcf(c_41005,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_1835]) ).
tcf(c_41006,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_40990,c_1774]) ).
tcf(c_41007,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_5023]) ).
tcf(c_41008,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40990,c_4917]) ).
tcf(c_41009,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_1038]) ).
tcf(c_41010,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_1004]) ).
tcf(c_41011,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_1582]) ).
tcf(c_41012,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40990,c_1264]) ).
tcf(c_41013,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1187]) ).
tcf(c_41014,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1186]) ).
tcf(c_41015,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1185]) ).
tcf(c_41016,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1184]) ).
tcf(c_41017,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1183]) ).
tcf(c_41018,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1182]) ).
tcf(c_41019,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1120]) ).
tcf(c_41020,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1119]) ).
tcf(c_41021,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1118]) ).
tcf(c_41022,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1117]) ).
tcf(c_41023,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1116]) ).
tcf(c_41024,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_1115]) ).
tcf(c_41025,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))) = smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_951]) ).
tcf(c_41026,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_40990,c_937]) ).
tcf(c_41027,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40990,c_69]) ).
tcf(c_41028,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_923]) ).
tcf(c_41029,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40990,c_68]) ).
tcf(c_41030,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40990,c_77]) ).
tcf(c_41031,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40990,c_71]) ).
tcf(c_41032,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40990,c_909]) ).
tcf(c_41033,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40990,c_76]) ).
tcf(c_41034,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40990,c_70]) ).
tcf(c_41035,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))),sdtpldt0(xp,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_74]) ).
tcf(c_41036,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),smndt0(sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_73]) ).
tcf(c_41037,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xb))) = sdtpldt0(xp,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_40990,c_63]) ).
tcf(c_41038,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xb)),sz00) = sdtpldt0(xp,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_40990,c_62]) ).
tcf(c_41039,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_61]) ).
tcf(c_41040,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_40990,c_60]) ).
tcf(c_41271,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_12207]) ).
tcf(c_41272,plain,
sdtasdt0(sz00,sdtasdt0(xq,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_41271,c_51]) ).
tcf(c_41279,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xb,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4313,c_78]) ).
tcf(c_41280,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_41279,c_51,c_2484]) ).
tcf(c_41281,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_5998]) ).
tcf(c_41282,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41280,c_5844]) ).
tcf(c_41283,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_4849]) ).
tcf(c_41284,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_4744]) ).
tcf(c_41285,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_4587]) ).
tcf(c_41286,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_4303]) ).
tcf(c_41287,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_3754]) ).
tcf(c_41288,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_3178]) ).
tcf(c_41289,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_3124]) ).
tcf(c_41290,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_3080]) ).
tcf(c_41291,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_2851]) ).
tcf(c_41292,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_2623]) ).
tcf(c_41293,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_2294]) ).
tcf(c_41294,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_1883]) ).
tcf(c_41295,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_1835]) ).
tcf(c_41296,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_41280,c_1774]) ).
tcf(c_41297,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_5023]) ).
tcf(c_41298,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41280,c_4917]) ).
tcf(c_41299,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_1038]) ).
tcf(c_41300,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_1004]) ).
tcf(c_41301,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_1582]) ).
tcf(c_41302,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41280,c_1264]) ).
tcf(c_41303,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1187]) ).
tcf(c_41304,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1186]) ).
tcf(c_41305,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1185]) ).
tcf(c_41306,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1184]) ).
tcf(c_41307,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1183]) ).
tcf(c_41308,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1182]) ).
tcf(c_41309,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1120]) ).
tcf(c_41310,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1119]) ).
tcf(c_41311,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1118]) ).
tcf(c_41312,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1117]) ).
tcf(c_41313,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1116]) ).
tcf(c_41314,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_1115]) ).
tcf(c_41315,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))) = smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_951]) ).
tcf(c_41316,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_41280,c_937]) ).
tcf(c_41317,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41280,c_69]) ).
tcf(c_41318,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_923]) ).
tcf(c_41319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41280,c_68]) ).
tcf(c_41320,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41280,c_77]) ).
tcf(c_41321,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41280,c_71]) ).
tcf(c_41322,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41280,c_909]) ).
tcf(c_41323,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41280,c_76]) ).
tcf(c_41324,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41280,c_70]) ).
tcf(c_41325,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))),sdtpldt0(xp,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_74]) ).
tcf(c_41326,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),smndt0(sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_73]) ).
tcf(c_41327,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xb,xm))) = sdtpldt0(xp,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_41280,c_63]) ).
tcf(c_41328,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xb,xm)),sz00) = sdtpldt0(xp,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_41280,c_62]) ).
tcf(c_41329,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_61]) ).
tcf(c_41330,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_41280,c_60]) ).
tcf(c_41384,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xp,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4315,c_78]) ).
tcf(c_41385,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_41384,c_51,c_2753]) ).
tcf(c_41386,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_5998]) ).
tcf(c_41387,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41385,c_5844]) ).
tcf(c_41388,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_4849]) ).
tcf(c_41389,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_4744]) ).
tcf(c_41390,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_4587]) ).
tcf(c_41391,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_4303]) ).
tcf(c_41392,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_3754]) ).
tcf(c_41393,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_3178]) ).
tcf(c_41394,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_3124]) ).
tcf(c_41395,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_3080]) ).
tcf(c_41396,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_2851]) ).
tcf(c_41397,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_2623]) ).
tcf(c_41398,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_2294]) ).
tcf(c_41399,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_1883]) ).
tcf(c_41400,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_1835]) ).
tcf(c_41401,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_41385,c_1774]) ).
tcf(c_41402,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_5023]) ).
tcf(c_41403,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41385,c_4917]) ).
tcf(c_41404,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_1038]) ).
tcf(c_41405,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_1004]) ).
tcf(c_41406,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_1582]) ).
tcf(c_41407,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41385,c_1264]) ).
tcf(c_41408,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1187]) ).
tcf(c_41409,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1186]) ).
tcf(c_41410,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1185]) ).
tcf(c_41411,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1184]) ).
tcf(c_41412,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1183]) ).
tcf(c_41413,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1182]) ).
tcf(c_41414,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1120]) ).
tcf(c_41415,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1119]) ).
tcf(c_41416,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1118]) ).
tcf(c_41417,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1117]) ).
tcf(c_41418,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1116]) ).
tcf(c_41419,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_1115]) ).
tcf(c_41420,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_951]) ).
tcf(c_41421,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_41385,c_937]) ).
tcf(c_41422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41385,c_69]) ).
tcf(c_41423,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_923]) ).
tcf(c_41424,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41385,c_68]) ).
tcf(c_41425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41385,c_77]) ).
tcf(c_41426,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41385,c_71]) ).
tcf(c_41427,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41385,c_909]) ).
tcf(c_41428,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41385,c_76]) ).
tcf(c_41429,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41385,c_70]) ).
tcf(c_41430,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))),sdtpldt0(xp,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_74]) ).
tcf(c_41431,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),smndt0(sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_73]) ).
tcf(c_41432,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xm))) = sdtpldt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_41385,c_63]) ).
tcf(c_41433,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xp,xm)),sz00) = sdtpldt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_41385,c_62]) ).
tcf(c_41434,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_61]) ).
tcf(c_41435,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_41385,c_60]) ).
tcf(c_41506,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb)))
| ( sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_4130,c_59]) ).
tcf(c_41507,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4130,c_72]) ).
tcf(c_41508,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_41507,c_56,c_4122]) ).
tcf(c_41509,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41506,c_56,c_4122]) ).
tcf(c_41513,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_5998]) ).
tcf(c_41514,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41508,c_5844]) ).
tcf(c_41515,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_4849]) ).
tcf(c_41516,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_4744]) ).
tcf(c_41517,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_4587]) ).
tcf(c_41518,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_4303]) ).
tcf(c_41519,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_3754]) ).
tcf(c_41520,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_3178]) ).
tcf(c_41521,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_3124]) ).
tcf(c_41522,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_3080]) ).
tcf(c_41523,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_2851]) ).
tcf(c_41524,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_2623]) ).
tcf(c_41525,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_2294]) ).
tcf(c_41526,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_1883]) ).
tcf(c_41527,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_1835]) ).
tcf(c_41528,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_41508,c_1774]) ).
tcf(c_41529,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_5023]) ).
tcf(c_41530,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41508,c_4917]) ).
tcf(c_41531,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_1038]) ).
tcf(c_41532,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_1004]) ).
tcf(c_41533,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_1582]) ).
tcf(c_41534,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41508,c_1264]) ).
tcf(c_41535,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1187]) ).
tcf(c_41536,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1186]) ).
tcf(c_41537,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1185]) ).
tcf(c_41538,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1184]) ).
tcf(c_41539,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1183]) ).
tcf(c_41540,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1182]) ).
tcf(c_41541,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1120]) ).
tcf(c_41542,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1119]) ).
tcf(c_41543,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1118]) ).
tcf(c_41544,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1117]) ).
tcf(c_41545,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1116]) ).
tcf(c_41546,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_1115]) ).
tcf(c_41547,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_951]) ).
tcf(c_41548,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41508,c_937]) ).
tcf(c_41549,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41508,c_69]) ).
tcf(c_41550,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_923]) ).
tcf(c_41551,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41508,c_68]) ).
tcf(c_41552,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41508,c_77]) ).
tcf(c_41553,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41508,c_71]) ).
tcf(c_41554,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41508,c_909]) ).
tcf(c_41555,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41508,c_76]) ).
tcf(c_41556,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41508,c_70]) ).
tcf(c_41557,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_74]) ).
tcf(c_41558,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_73]) ).
tcf(c_41559,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_41508,c_63]) ).
tcf(c_41560,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_41508,c_62]) ).
tcf(c_41561,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_61]) ).
tcf(c_41562,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41508,c_60]) ).
tcf(c_41791,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_12208]) ).
tcf(c_41792,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_41791,c_51]) ).
tcf(c_41799,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xq,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4316,c_78]) ).
tcf(c_41800,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_41799,c_51,c_2918]) ).
tcf(c_41801,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_5998]) ).
tcf(c_41802,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41800,c_5844]) ).
tcf(c_41803,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_4849]) ).
tcf(c_41804,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_4744]) ).
tcf(c_41805,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_4587]) ).
tcf(c_41806,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_4303]) ).
tcf(c_41807,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_3754]) ).
tcf(c_41808,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_3178]) ).
tcf(c_41809,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_3124]) ).
tcf(c_41810,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_3080]) ).
tcf(c_41811,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_2851]) ).
tcf(c_41812,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_2623]) ).
tcf(c_41813,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_2294]) ).
tcf(c_41814,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_1883]) ).
tcf(c_41815,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_1835]) ).
tcf(c_41816,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_41800,c_1774]) ).
tcf(c_41817,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_5023]) ).
tcf(c_41818,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41800,c_4917]) ).
tcf(c_41819,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_1038]) ).
tcf(c_41820,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_1004]) ).
tcf(c_41821,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_1582]) ).
tcf(c_41822,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41800,c_1264]) ).
tcf(c_41823,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1187]) ).
tcf(c_41824,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1186]) ).
tcf(c_41825,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1185]) ).
tcf(c_41826,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1184]) ).
tcf(c_41827,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1183]) ).
tcf(c_41828,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1182]) ).
tcf(c_41829,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1120]) ).
tcf(c_41830,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1119]) ).
tcf(c_41831,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1118]) ).
tcf(c_41832,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1117]) ).
tcf(c_41833,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1116]) ).
tcf(c_41834,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_1115]) ).
tcf(c_41835,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))) = smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_951]) ).
tcf(c_41836,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_41800,c_937]) ).
tcf(c_41837,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41800,c_69]) ).
tcf(c_41838,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_923]) ).
tcf(c_41839,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41800,c_68]) ).
tcf(c_41840,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41800,c_77]) ).
tcf(c_41841,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41800,c_71]) ).
tcf(c_41842,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41800,c_909]) ).
tcf(c_41843,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41800,c_76]) ).
tcf(c_41844,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41800,c_70]) ).
tcf(c_41845,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))),sdtpldt0(xp,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_74]) ).
tcf(c_41846,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),smndt0(sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_73]) ).
tcf(c_41847,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xm))) = sdtpldt0(xp,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_41800,c_63]) ).
tcf(c_41848,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xq,xm)),sz00) = sdtpldt0(xp,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_41800,c_62]) ).
tcf(c_41849,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_61]) ).
tcf(c_41850,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_41800,c_60]) ).
tcf(c_41902,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xa,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_4317,c_78]) ).
tcf(c_41903,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_41902,c_51,c_3219]) ).
tcf(c_41904,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_5998]) ).
tcf(c_41905,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41903,c_5844]) ).
tcf(c_41906,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_4849]) ).
tcf(c_41907,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_4744]) ).
tcf(c_41908,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_4587]) ).
tcf(c_41909,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_4303]) ).
tcf(c_41910,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_3754]) ).
tcf(c_41911,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_3178]) ).
tcf(c_41912,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_3124]) ).
tcf(c_41913,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_3080]) ).
tcf(c_41914,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_2851]) ).
tcf(c_41915,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_2623]) ).
tcf(c_41916,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_2294]) ).
tcf(c_41917,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_1883]) ).
tcf(c_41918,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_1835]) ).
tcf(c_41919,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_41903,c_1774]) ).
tcf(c_41920,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_5023]) ).
tcf(c_41921,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41903,c_4917]) ).
tcf(c_41922,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_1038]) ).
tcf(c_41923,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_1004]) ).
tcf(c_41924,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_1582]) ).
tcf(c_41925,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41903,c_1264]) ).
tcf(c_41926,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1187]) ).
tcf(c_41927,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1186]) ).
tcf(c_41928,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1185]) ).
tcf(c_41929,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1184]) ).
tcf(c_41930,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1183]) ).
tcf(c_41931,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1182]) ).
tcf(c_41932,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1120]) ).
tcf(c_41933,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1119]) ).
tcf(c_41934,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1118]) ).
tcf(c_41935,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1117]) ).
tcf(c_41936,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1116]) ).
tcf(c_41937,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_1115]) ).
tcf(c_41938,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))) = smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_951]) ).
tcf(c_41939,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_41903,c_937]) ).
tcf(c_41940,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41903,c_69]) ).
tcf(c_41941,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_923]) ).
tcf(c_41942,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41903,c_68]) ).
tcf(c_41943,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41903,c_77]) ).
tcf(c_41944,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41903,c_71]) ).
tcf(c_41945,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41903,c_909]) ).
tcf(c_41946,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41903,c_76]) ).
tcf(c_41947,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41903,c_70]) ).
tcf(c_41948,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))),sdtpldt0(xp,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_74]) ).
tcf(c_41949,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),smndt0(sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_73]) ).
tcf(c_41950,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xb))) = sdtpldt0(xp,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_41903,c_63]) ).
tcf(c_41951,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xb)),sz00) = sdtpldt0(xp,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_41903,c_62]) ).
tcf(c_41952,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_61]) ).
tcf(c_41953,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_41903,c_60]) ).
tcf(c_42022,plain,
( ( sz00 = xq )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb)))
| ( sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_4131,c_59]) ).
tcf(c_42023,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4131,c_72]) ).
tcf(c_42024,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_42023,c_53,c_4122]) ).
tcf(c_42025,plain,
( ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42022,c_54,c_53,c_4122]) ).
tcf(c_42028,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_5998]) ).
tcf(c_42029,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42024,c_5844]) ).
tcf(c_42030,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_4849]) ).
tcf(c_42031,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_4744]) ).
tcf(c_42032,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_4587]) ).
tcf(c_42033,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_4303]) ).
tcf(c_42034,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_3754]) ).
tcf(c_42035,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_3178]) ).
tcf(c_42036,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_3124]) ).
tcf(c_42037,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_3080]) ).
tcf(c_42038,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_2851]) ).
tcf(c_42039,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_2623]) ).
tcf(c_42040,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_2294]) ).
tcf(c_42041,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_1883]) ).
tcf(c_42042,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_1835]) ).
tcf(c_42043,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42024,c_1774]) ).
tcf(c_42044,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_5023]) ).
tcf(c_42045,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42024,c_4917]) ).
tcf(c_42046,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_1038]) ).
tcf(c_42047,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_1004]) ).
tcf(c_42048,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_1582]) ).
tcf(c_42049,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42024,c_1264]) ).
tcf(c_42050,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1187]) ).
tcf(c_42051,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1186]) ).
tcf(c_42052,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1185]) ).
tcf(c_42053,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1184]) ).
tcf(c_42054,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1183]) ).
tcf(c_42055,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1182]) ).
tcf(c_42056,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1120]) ).
tcf(c_42057,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1119]) ).
tcf(c_42058,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1118]) ).
tcf(c_42059,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1117]) ).
tcf(c_42060,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1116]) ).
tcf(c_42061,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_1115]) ).
tcf(c_42062,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_951]) ).
tcf(c_42063,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42024,c_937]) ).
tcf(c_42064,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42024,c_69]) ).
tcf(c_42065,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_923]) ).
tcf(c_42066,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42024,c_68]) ).
tcf(c_42067,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42024,c_77]) ).
tcf(c_42068,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42024,c_71]) ).
tcf(c_42069,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42024,c_909]) ).
tcf(c_42070,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42024,c_76]) ).
tcf(c_42071,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42024,c_70]) ).
tcf(c_42072,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_74]) ).
tcf(c_42073,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_73]) ).
tcf(c_42074,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_42024,c_63]) ).
tcf(c_42075,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_42024,c_62]) ).
tcf(c_42076,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_61]) ).
tcf(c_42077,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42024,c_60]) ).
tcf(c_42311,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xp,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_4318,c_78]) ).
tcf(c_42312,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_42311,c_51,c_3339]) ).
tcf(c_42313,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_5998]) ).
tcf(c_42314,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42312,c_5844]) ).
tcf(c_42315,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_4849]) ).
tcf(c_42316,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_4744]) ).
tcf(c_42317,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_4587]) ).
tcf(c_42318,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_4303]) ).
tcf(c_42319,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_3754]) ).
tcf(c_42320,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_3178]) ).
tcf(c_42321,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_3124]) ).
tcf(c_42322,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_3080]) ).
tcf(c_42323,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_2851]) ).
tcf(c_42324,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_2623]) ).
tcf(c_42325,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_2294]) ).
tcf(c_42326,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_1883]) ).
tcf(c_42327,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_1835]) ).
tcf(c_42328,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_42312,c_1774]) ).
tcf(c_42329,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_5023]) ).
tcf(c_42330,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42312,c_4917]) ).
tcf(c_42331,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_1038]) ).
tcf(c_42332,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_1004]) ).
tcf(c_42333,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_1582]) ).
tcf(c_42334,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42312,c_1264]) ).
tcf(c_42335,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1187]) ).
tcf(c_42336,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1186]) ).
tcf(c_42337,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1185]) ).
tcf(c_42338,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1184]) ).
tcf(c_42339,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1183]) ).
tcf(c_42340,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1182]) ).
tcf(c_42341,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1120]) ).
tcf(c_42342,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1119]) ).
tcf(c_42343,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1118]) ).
tcf(c_42344,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1117]) ).
tcf(c_42345,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1116]) ).
tcf(c_42346,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_1115]) ).
tcf(c_42347,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_951]) ).
tcf(c_42348,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_42312,c_937]) ).
tcf(c_42349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42312,c_69]) ).
tcf(c_42350,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_923]) ).
tcf(c_42351,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42312,c_68]) ).
tcf(c_42352,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42312,c_77]) ).
tcf(c_42353,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42312,c_71]) ).
tcf(c_42354,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42312,c_909]) ).
tcf(c_42355,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42312,c_76]) ).
tcf(c_42356,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42312,c_70]) ).
tcf(c_42357,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))),sdtpldt0(xp,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_74]) ).
tcf(c_42358,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),smndt0(sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_73]) ).
tcf(c_42359,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xa))) = sdtpldt0(xp,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_42312,c_63]) ).
tcf(c_42360,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xa)),sz00) = sdtpldt0(xp,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_42312,c_62]) ).
tcf(c_42361,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_61]) ).
tcf(c_42362,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_42312,c_60]) ).
tcf(c_42437,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xq,xa)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_4319,c_78]) ).
tcf(c_42438,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_42437,c_51,c_3448]) ).
tcf(c_42439,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_5998]) ).
tcf(c_42440,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42438,c_5844]) ).
tcf(c_42441,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_4849]) ).
tcf(c_42442,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_4744]) ).
tcf(c_42443,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_4587]) ).
tcf(c_42444,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_4303]) ).
tcf(c_42445,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_3754]) ).
tcf(c_42446,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_3178]) ).
tcf(c_42447,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_3124]) ).
tcf(c_42448,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_3080]) ).
tcf(c_42449,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_2851]) ).
tcf(c_42450,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_2623]) ).
tcf(c_42451,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_2294]) ).
tcf(c_42452,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_1883]) ).
tcf(c_42453,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_1835]) ).
tcf(c_42454,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_42438,c_1774]) ).
tcf(c_42455,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_5023]) ).
tcf(c_42456,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42438,c_4917]) ).
tcf(c_42457,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_1038]) ).
tcf(c_42458,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_1004]) ).
tcf(c_42459,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_1582]) ).
tcf(c_42460,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42438,c_1264]) ).
tcf(c_42461,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1187]) ).
tcf(c_42462,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1186]) ).
tcf(c_42463,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1185]) ).
tcf(c_42464,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1184]) ).
tcf(c_42465,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1183]) ).
tcf(c_42466,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1182]) ).
tcf(c_42467,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1120]) ).
tcf(c_42468,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1119]) ).
tcf(c_42469,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1118]) ).
tcf(c_42470,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1117]) ).
tcf(c_42471,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1116]) ).
tcf(c_42472,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_1115]) ).
tcf(c_42473,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))) = smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_951]) ).
tcf(c_42474,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_42438,c_937]) ).
tcf(c_42475,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42438,c_69]) ).
tcf(c_42476,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_923]) ).
tcf(c_42477,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42438,c_68]) ).
tcf(c_42478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42438,c_77]) ).
tcf(c_42479,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42438,c_71]) ).
tcf(c_42480,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42438,c_909]) ).
tcf(c_42481,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42438,c_76]) ).
tcf(c_42482,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42438,c_70]) ).
tcf(c_42483,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))),sdtpldt0(xp,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_74]) ).
tcf(c_42484,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),smndt0(sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_73]) ).
tcf(c_42485,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xa))) = sdtpldt0(xp,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_42438,c_63]) ).
tcf(c_42486,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xa)),sz00) = sdtpldt0(xp,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_42438,c_62]) ).
tcf(c_42487,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_61]) ).
tcf(c_42488,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_42438,c_60]) ).
tcf(c_42536,plain,
( ( xp = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb)))
| ( sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_4132,c_59]) ).
tcf(c_42537,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4132,c_72]) ).
tcf(c_42538,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_42537,c_51,c_4122]) ).
tcf(c_42539,plain,
( ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42536,c_52,c_51,c_4122]) ).
tcf(c_42542,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_5998]) ).
tcf(c_42543,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42538,c_5844]) ).
tcf(c_42544,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_4849]) ).
tcf(c_42545,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_4744]) ).
tcf(c_42546,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_4587]) ).
tcf(c_42547,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_4303]) ).
tcf(c_42548,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_3754]) ).
tcf(c_42549,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_3178]) ).
tcf(c_42550,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_3124]) ).
tcf(c_42551,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_3080]) ).
tcf(c_42552,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_2851]) ).
tcf(c_42553,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_2623]) ).
tcf(c_42554,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_2294]) ).
tcf(c_42555,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_1883]) ).
tcf(c_42556,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_1835]) ).
tcf(c_42557,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_42538,c_1774]) ).
tcf(c_42558,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_5023]) ).
tcf(c_42559,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42538,c_4917]) ).
tcf(c_42560,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_1038]) ).
tcf(c_42561,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_1004]) ).
tcf(c_42562,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_1582]) ).
tcf(c_42563,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42538,c_1264]) ).
tcf(c_42564,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1187]) ).
tcf(c_42565,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1186]) ).
tcf(c_42566,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1185]) ).
tcf(c_42567,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1184]) ).
tcf(c_42568,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1183]) ).
tcf(c_42569,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1182]) ).
tcf(c_42570,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1120]) ).
tcf(c_42571,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1119]) ).
tcf(c_42572,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1118]) ).
tcf(c_42573,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1117]) ).
tcf(c_42574,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1116]) ).
tcf(c_42575,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_1115]) ).
tcf(c_42576,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_951]) ).
tcf(c_42577,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_42538,c_937]) ).
tcf(c_42578,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42538,c_69]) ).
tcf(c_42579,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_923]) ).
tcf(c_42580,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42538,c_68]) ).
tcf(c_42581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42538,c_77]) ).
tcf(c_42582,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42538,c_71]) ).
tcf(c_42583,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42538,c_909]) ).
tcf(c_42584,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42538,c_76]) ).
tcf(c_42585,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42538,c_70]) ).
tcf(c_42586,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_74]) ).
tcf(c_42587,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_73]) ).
tcf(c_42588,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_42538,c_63]) ).
tcf(c_42589,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_42538,c_62]) ).
tcf(c_42590,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_61]) ).
tcf(c_42591,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42538,c_60]) ).
tcf(c_42668,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_12418]) ).
tcf(c_42669,plain,
sdtasdt0(sz00,sdtasdt0(xq,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_42668,c_53]) ).
tcf(c_42676,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xa,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_4320,c_78]) ).
tcf(c_42677,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_42676,c_51,c_3508]) ).
tcf(c_42678,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_5998]) ).
tcf(c_42679,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42677,c_5844]) ).
tcf(c_42680,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_4849]) ).
tcf(c_42681,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_4744]) ).
tcf(c_42682,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_4587]) ).
tcf(c_42683,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_4303]) ).
tcf(c_42684,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_3754]) ).
tcf(c_42685,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_3178]) ).
tcf(c_42686,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_3124]) ).
tcf(c_42687,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_3080]) ).
tcf(c_42688,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_2851]) ).
tcf(c_42689,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_2623]) ).
tcf(c_42690,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_2294]) ).
tcf(c_42691,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_1883]) ).
tcf(c_42692,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_1835]) ).
tcf(c_42693,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_42677,c_1774]) ).
tcf(c_42694,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_5023]) ).
tcf(c_42695,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42677,c_4917]) ).
tcf(c_42696,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_1038]) ).
tcf(c_42697,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_1004]) ).
tcf(c_42698,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_1582]) ).
tcf(c_42699,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42677,c_1264]) ).
tcf(c_42700,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1187]) ).
tcf(c_42701,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1186]) ).
tcf(c_42702,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1185]) ).
tcf(c_42703,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1184]) ).
tcf(c_42704,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1183]) ).
tcf(c_42705,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1182]) ).
tcf(c_42706,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1120]) ).
tcf(c_42707,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1119]) ).
tcf(c_42708,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1118]) ).
tcf(c_42709,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1117]) ).
tcf(c_42710,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1116]) ).
tcf(c_42711,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_1115]) ).
tcf(c_42712,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))) = smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_951]) ).
tcf(c_42713,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_42677,c_937]) ).
tcf(c_42714,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42677,c_69]) ).
tcf(c_42715,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_923]) ).
tcf(c_42716,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42677,c_68]) ).
tcf(c_42717,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42677,c_77]) ).
tcf(c_42718,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42677,c_71]) ).
tcf(c_42719,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42677,c_909]) ).
tcf(c_42720,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42677,c_76]) ).
tcf(c_42721,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42677,c_70]) ).
tcf(c_42722,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))),sdtpldt0(xp,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_74]) ).
tcf(c_42723,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),smndt0(sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_73]) ).
tcf(c_42724,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xm))) = sdtpldt0(xp,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_42677,c_63]) ).
tcf(c_42725,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,xm)),sz00) = sdtpldt0(xp,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_42677,c_62]) ).
tcf(c_42726,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_61]) ).
tcf(c_42727,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_42677,c_60]) ).
tcf(c_42996,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xp,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_4321,c_78]) ).
tcf(c_42997,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_42996,c_51,c_3799]) ).
tcf(c_42998,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_5998]) ).
tcf(c_42999,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42997,c_5844]) ).
tcf(c_43000,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_4849]) ).
tcf(c_43001,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_4744]) ).
tcf(c_43002,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_4587]) ).
tcf(c_43003,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_4303]) ).
tcf(c_43004,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_3754]) ).
tcf(c_43005,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_3178]) ).
tcf(c_43006,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_3124]) ).
tcf(c_43007,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_3080]) ).
tcf(c_43008,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_2851]) ).
tcf(c_43009,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_2623]) ).
tcf(c_43010,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_2294]) ).
tcf(c_43011,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_1883]) ).
tcf(c_43012,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_1835]) ).
tcf(c_43013,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_42997,c_1774]) ).
tcf(c_43014,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_5023]) ).
tcf(c_43015,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42997,c_4917]) ).
tcf(c_43016,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_1038]) ).
tcf(c_43017,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_1004]) ).
tcf(c_43018,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_1582]) ).
tcf(c_43019,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42997,c_1264]) ).
tcf(c_43020,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1187]) ).
tcf(c_43021,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1186]) ).
tcf(c_43022,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1185]) ).
tcf(c_43023,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1184]) ).
tcf(c_43024,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1183]) ).
tcf(c_43025,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1182]) ).
tcf(c_43026,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1120]) ).
tcf(c_43027,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1119]) ).
tcf(c_43028,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1118]) ).
tcf(c_43029,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1117]) ).
tcf(c_43030,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1116]) ).
tcf(c_43031,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_1115]) ).
tcf(c_43032,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_951]) ).
tcf(c_43033,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_42997,c_937]) ).
tcf(c_43034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42997,c_69]) ).
tcf(c_43035,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_923]) ).
tcf(c_43036,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42997,c_68]) ).
tcf(c_43037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42997,c_77]) ).
tcf(c_43038,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42997,c_71]) ).
tcf(c_43039,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42997,c_909]) ).
tcf(c_43040,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42997,c_76]) ).
tcf(c_43041,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42997,c_70]) ).
tcf(c_43042,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))),sdtpldt0(xp,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_74]) ).
tcf(c_43043,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),smndt0(sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_73]) ).
tcf(c_43044,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xb))) = sdtpldt0(xp,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_42997,c_63]) ).
tcf(c_43045,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xb)),sz00) = sdtpldt0(xp,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_42997,c_62]) ).
tcf(c_43046,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_61]) ).
tcf(c_43047,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_42997,c_60]) ).
tcf(c_43125,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb)))
| ( sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_4133,c_59]) ).
tcf(c_43126,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4133,c_72]) ).
tcf(c_43127,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_43126,c_50,c_4122]) ).
tcf(c_43128,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43125,c_50,c_4122]) ).
tcf(c_43132,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_5998]) ).
tcf(c_43133,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43127,c_5844]) ).
tcf(c_43134,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_4849]) ).
tcf(c_43135,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_4744]) ).
tcf(c_43136,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_4587]) ).
tcf(c_43137,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_4303]) ).
tcf(c_43138,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_3754]) ).
tcf(c_43139,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_3178]) ).
tcf(c_43140,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_3124]) ).
tcf(c_43141,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_3080]) ).
tcf(c_43142,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_2851]) ).
tcf(c_43143,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_2623]) ).
tcf(c_43144,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_2294]) ).
tcf(c_43145,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_1883]) ).
tcf(c_43146,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_1835]) ).
tcf(c_43147,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43127,c_1774]) ).
tcf(c_43148,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_5023]) ).
tcf(c_43149,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43127,c_4917]) ).
tcf(c_43150,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_1038]) ).
tcf(c_43151,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_1004]) ).
tcf(c_43152,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_1582]) ).
tcf(c_43153,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43127,c_1264]) ).
tcf(c_43154,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1187]) ).
tcf(c_43155,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1186]) ).
tcf(c_43156,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1185]) ).
tcf(c_43157,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1184]) ).
tcf(c_43158,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1183]) ).
tcf(c_43159,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1182]) ).
tcf(c_43160,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1120]) ).
tcf(c_43161,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1119]) ).
tcf(c_43162,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1118]) ).
tcf(c_43163,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1117]) ).
tcf(c_43164,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1116]) ).
tcf(c_43165,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_1115]) ).
tcf(c_43166,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_951]) ).
tcf(c_43167,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43127,c_937]) ).
tcf(c_43168,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43127,c_69]) ).
tcf(c_43169,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_923]) ).
tcf(c_43170,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43127,c_68]) ).
tcf(c_43171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43127,c_77]) ).
tcf(c_43172,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43127,c_71]) ).
tcf(c_43173,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43127,c_909]) ).
tcf(c_43174,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43127,c_76]) ).
tcf(c_43175,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43127,c_70]) ).
tcf(c_43176,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_74]) ).
tcf(c_43177,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_73]) ).
tcf(c_43178,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_43127,c_63]) ).
tcf(c_43179,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_43127,c_62]) ).
tcf(c_43180,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_61]) ).
tcf(c_43181,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43127,c_60]) ).
tcf(c_43276,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xq,xb)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_4322,c_78]) ).
tcf(c_43277,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_43276,c_51,c_3870]) ).
tcf(c_43278,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_5998]) ).
tcf(c_43279,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43277,c_5844]) ).
tcf(c_43280,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_4849]) ).
tcf(c_43281,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_4744]) ).
tcf(c_43282,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_4587]) ).
tcf(c_43283,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_4303]) ).
tcf(c_43284,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_3754]) ).
tcf(c_43285,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_3178]) ).
tcf(c_43286,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_3124]) ).
tcf(c_43287,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_3080]) ).
tcf(c_43288,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_2851]) ).
tcf(c_43289,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_2623]) ).
tcf(c_43290,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_2294]) ).
tcf(c_43291,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_1883]) ).
tcf(c_43292,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_1835]) ).
tcf(c_43293,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_43277,c_1774]) ).
tcf(c_43294,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_5023]) ).
tcf(c_43295,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43277,c_4917]) ).
tcf(c_43296,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_1038]) ).
tcf(c_43297,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_1004]) ).
tcf(c_43298,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_1582]) ).
tcf(c_43299,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43277,c_1264]) ).
tcf(c_43300,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1187]) ).
tcf(c_43301,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1186]) ).
tcf(c_43302,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1185]) ).
tcf(c_43303,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1184]) ).
tcf(c_43304,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1183]) ).
tcf(c_43305,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1182]) ).
tcf(c_43306,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1120]) ).
tcf(c_43307,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1119]) ).
tcf(c_43308,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1118]) ).
tcf(c_43309,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1117]) ).
tcf(c_43310,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1116]) ).
tcf(c_43311,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_1115]) ).
tcf(c_43312,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))) = smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_951]) ).
tcf(c_43313,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_43277,c_937]) ).
tcf(c_43314,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43277,c_69]) ).
tcf(c_43315,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_923]) ).
tcf(c_43316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43277,c_68]) ).
tcf(c_43317,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43277,c_77]) ).
tcf(c_43318,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43277,c_71]) ).
tcf(c_43319,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43277,c_909]) ).
tcf(c_43320,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43277,c_76]) ).
tcf(c_43321,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43277,c_70]) ).
tcf(c_43322,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))),sdtpldt0(xp,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_74]) ).
tcf(c_43323,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),smndt0(sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_73]) ).
tcf(c_43324,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xb))) = sdtpldt0(xp,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_43277,c_63]) ).
tcf(c_43325,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xb)),sz00) = sdtpldt0(xp,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_43277,c_62]) ).
tcf(c_43326,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_61]) ).
tcf(c_43327,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_43277,c_60]) ).
tcf(c_43664,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xb,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4323,c_78]) ).
tcf(c_43665,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_43664,c_51,c_4045]) ).
tcf(c_43666,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_5998]) ).
tcf(c_43667,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43665,c_5844]) ).
tcf(c_43668,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_4849]) ).
tcf(c_43669,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_4744]) ).
tcf(c_43670,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_4587]) ).
tcf(c_43671,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_4303]) ).
tcf(c_43672,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_3754]) ).
tcf(c_43673,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_3178]) ).
tcf(c_43674,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_3124]) ).
tcf(c_43675,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_3080]) ).
tcf(c_43676,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_2851]) ).
tcf(c_43677,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_2623]) ).
tcf(c_43678,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_2294]) ).
tcf(c_43679,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_1883]) ).
tcf(c_43680,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_1835]) ).
tcf(c_43681,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_43665,c_1774]) ).
tcf(c_43682,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_5023]) ).
tcf(c_43683,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43665,c_4917]) ).
tcf(c_43684,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_1038]) ).
tcf(c_43685,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_1004]) ).
tcf(c_43686,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_1582]) ).
tcf(c_43687,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43665,c_1264]) ).
tcf(c_43688,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1187]) ).
tcf(c_43689,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1186]) ).
tcf(c_43690,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1185]) ).
tcf(c_43691,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1184]) ).
tcf(c_43692,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1183]) ).
tcf(c_43693,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1182]) ).
tcf(c_43694,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1120]) ).
tcf(c_43695,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1119]) ).
tcf(c_43696,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1118]) ).
tcf(c_43697,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1117]) ).
tcf(c_43698,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1116]) ).
tcf(c_43699,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_1115]) ).
tcf(c_43700,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))) = smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_951]) ).
tcf(c_43701,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_43665,c_937]) ).
tcf(c_43702,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43665,c_69]) ).
tcf(c_43703,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_923]) ).
tcf(c_43704,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43665,c_68]) ).
tcf(c_43705,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43665,c_77]) ).
tcf(c_43706,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43665,c_71]) ).
tcf(c_43707,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43665,c_909]) ).
tcf(c_43708,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43665,c_76]) ).
tcf(c_43709,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43665,c_70]) ).
tcf(c_43710,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))),sdtpldt0(xp,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_74]) ).
tcf(c_43711,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),smndt0(sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_73]) ).
tcf(c_43712,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xb,xm))) = sdtpldt0(xp,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_43665,c_63]) ).
tcf(c_43713,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xb,xm)),sz00) = sdtpldt0(xp,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_43665,c_62]) ).
tcf(c_43714,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_61]) ).
tcf(c_43715,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_43665,c_60]) ).
tcf(c_43786,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb)))
| ( sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(superposition,[status(thm)],[c_4134,c_59]) ).
tcf(c_43787,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4134,c_72]) ).
tcf(c_43788,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_43787,c_49,c_4122]) ).
tcf(c_43789,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,xb)) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43786,c_49,c_4122]) ).
tcf(c_43793,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_5998]) ).
tcf(c_43794,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43788,c_5844]) ).
tcf(c_43795,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_4849]) ).
tcf(c_43796,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_4744]) ).
tcf(c_43797,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_4587]) ).
tcf(c_43798,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_4303]) ).
tcf(c_43799,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_3754]) ).
tcf(c_43800,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_3178]) ).
tcf(c_43801,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_3124]) ).
tcf(c_43802,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_3080]) ).
tcf(c_43803,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_2851]) ).
tcf(c_43804,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_2623]) ).
tcf(c_43805,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_2294]) ).
tcf(c_43806,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_1883]) ).
tcf(c_43807,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_1835]) ).
tcf(c_43808,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_43788,c_1774]) ).
tcf(c_43809,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_5023]) ).
tcf(c_43810,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43788,c_4917]) ).
tcf(c_43811,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_1038]) ).
tcf(c_43812,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_1004]) ).
tcf(c_43813,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_1582]) ).
tcf(c_43814,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43788,c_1264]) ).
tcf(c_43815,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1187]) ).
tcf(c_43816,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1186]) ).
tcf(c_43817,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1185]) ).
tcf(c_43818,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1184]) ).
tcf(c_43819,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1183]) ).
tcf(c_43820,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1182]) ).
tcf(c_43821,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1120]) ).
tcf(c_43822,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1119]) ).
tcf(c_43823,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1118]) ).
tcf(c_43824,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1117]) ).
tcf(c_43825,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1116]) ).
tcf(c_43826,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_1115]) ).
tcf(c_43827,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_951]) ).
tcf(c_43828,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_43788,c_937]) ).
tcf(c_43829,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43788,c_69]) ).
tcf(c_43830,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_923]) ).
tcf(c_43831,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43788,c_68]) ).
tcf(c_43832,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43788,c_77]) ).
tcf(c_43833,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43788,c_71]) ).
tcf(c_43834,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43788,c_909]) ).
tcf(c_43835,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43788,c_76]) ).
tcf(c_43836,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43788,c_70]) ).
tcf(c_43837,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_74]) ).
tcf(c_43838,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_73]) ).
tcf(c_43839,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_43788,c_63]) ).
tcf(c_43840,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_43788,c_62]) ).
tcf(c_43841,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_61]) ).
tcf(c_43842,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43788,c_60]) ).
tcf(c_43894,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_12419]) ).
tcf(c_43895,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43894,c_53]) ).
tcf(c_43902,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xp,xq)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4339,c_78]) ).
tcf(c_43903,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_43902,c_51,c_4338]) ).
tcf(c_43904,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_5998]) ).
tcf(c_43905,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43903,c_5844]) ).
tcf(c_43906,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_4849]) ).
tcf(c_43907,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_4744]) ).
tcf(c_43908,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_4587]) ).
tcf(c_43909,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_4303]) ).
tcf(c_43910,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_3754]) ).
tcf(c_43911,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_3178]) ).
tcf(c_43912,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_3124]) ).
tcf(c_43913,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_3080]) ).
tcf(c_43914,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_2851]) ).
tcf(c_43915,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_2623]) ).
tcf(c_43916,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_2294]) ).
tcf(c_43917,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_1883]) ).
tcf(c_43918,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_1835]) ).
tcf(c_43919,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_43903,c_1774]) ).
tcf(c_43920,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_5023]) ).
tcf(c_43921,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43903,c_4917]) ).
tcf(c_43922,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_1038]) ).
tcf(c_43923,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_1004]) ).
tcf(c_43924,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_1582]) ).
tcf(c_43925,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43903,c_1264]) ).
tcf(c_43926,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1187]) ).
tcf(c_43927,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1186]) ).
tcf(c_43928,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1185]) ).
tcf(c_43929,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1184]) ).
tcf(c_43930,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1183]) ).
tcf(c_43931,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1182]) ).
tcf(c_43932,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1120]) ).
tcf(c_43933,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1119]) ).
tcf(c_43934,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1118]) ).
tcf(c_43935,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1117]) ).
tcf(c_43936,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1116]) ).
tcf(c_43937,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_1115]) ).
tcf(c_43938,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_951]) ).
tcf(c_43939,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_43903,c_937]) ).
tcf(c_43940,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43903,c_69]) ).
tcf(c_43941,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_923]) ).
tcf(c_43942,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43903,c_68]) ).
tcf(c_43943,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43903,c_77]) ).
tcf(c_43944,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43903,c_71]) ).
tcf(c_43945,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43903,c_909]) ).
tcf(c_43946,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43903,c_76]) ).
tcf(c_43947,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43903,c_70]) ).
tcf(c_43948,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))),sdtpldt0(xp,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_74]) ).
tcf(c_43949,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),smndt0(sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_73]) ).
tcf(c_43950,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xq))) = sdtpldt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_43903,c_63]) ).
tcf(c_43951,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xq)),sz00) = sdtpldt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_43903,c_62]) ).
tcf(c_43952,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_61]) ).
tcf(c_43953,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_43903,c_60]) ).
tcf(c_44183,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xp,xq)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4340,c_78]) ).
tcf(c_44184,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_44183,c_50,c_4338]) ).
tcf(c_44185,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_5998]) ).
tcf(c_44186,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44184,c_5844]) ).
tcf(c_44187,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_4849]) ).
tcf(c_44188,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_4744]) ).
tcf(c_44189,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_4587]) ).
tcf(c_44190,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_4303]) ).
tcf(c_44191,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_3754]) ).
tcf(c_44192,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_3178]) ).
tcf(c_44193,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_3124]) ).
tcf(c_44194,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_3080]) ).
tcf(c_44195,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_2851]) ).
tcf(c_44196,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_2623]) ).
tcf(c_44197,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_2294]) ).
tcf(c_44198,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_1883]) ).
tcf(c_44199,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_1835]) ).
tcf(c_44200,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44184,c_1774]) ).
tcf(c_44201,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_5023]) ).
tcf(c_44202,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44184,c_4917]) ).
tcf(c_44203,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_1038]) ).
tcf(c_44204,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_1004]) ).
tcf(c_44205,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_1582]) ).
tcf(c_44206,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44184,c_1264]) ).
tcf(c_44207,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1187]) ).
tcf(c_44208,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1186]) ).
tcf(c_44209,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1185]) ).
tcf(c_44210,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1184]) ).
tcf(c_44211,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1183]) ).
tcf(c_44212,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1182]) ).
tcf(c_44213,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1120]) ).
tcf(c_44214,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1119]) ).
tcf(c_44215,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1118]) ).
tcf(c_44216,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1117]) ).
tcf(c_44217,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1116]) ).
tcf(c_44218,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_1115]) ).
tcf(c_44219,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_951]) ).
tcf(c_44220,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44184,c_937]) ).
tcf(c_44221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44184,c_69]) ).
tcf(c_44222,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_923]) ).
tcf(c_44223,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44184,c_68]) ).
tcf(c_44224,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44184,c_77]) ).
tcf(c_44225,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44184,c_71]) ).
tcf(c_44226,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44184,c_909]) ).
tcf(c_44227,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44184,c_76]) ).
tcf(c_44228,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44184,c_70]) ).
tcf(c_44229,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))),sdtpldt0(xb,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_74]) ).
tcf(c_44230,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),smndt0(sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_73]) ).
tcf(c_44231,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xq))) = sdtpldt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44184,c_63]) ).
tcf(c_44232,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xq)),sz00) = sdtpldt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44184,c_62]) ).
tcf(c_44233,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_61]) ).
tcf(c_44234,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_44184,c_60]) ).
tcf(c_44310,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_12597]) ).
tcf(c_44311,plain,
sdtasdt0(sz00,sdtasdt0(xq,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44310,c_56]) ).
tcf(c_44318,plain,
( ( sdtasdt0(sdtasdt0(xq,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_12598]) ).
tcf(c_44319,plain,
sdtasdt0(sdtasdt0(xq,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44318,c_56]) ).
tcf(c_44326,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xp,xq)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4341,c_78]) ).
tcf(c_44327,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_44326,c_49,c_4338]) ).
tcf(c_44328,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_5998]) ).
tcf(c_44329,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44327,c_5844]) ).
tcf(c_44330,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_4849]) ).
tcf(c_44331,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_4744]) ).
tcf(c_44332,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_4587]) ).
tcf(c_44333,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_4303]) ).
tcf(c_44334,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_3754]) ).
tcf(c_44335,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_3178]) ).
tcf(c_44336,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_3124]) ).
tcf(c_44337,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_3080]) ).
tcf(c_44338,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_2851]) ).
tcf(c_44339,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_2623]) ).
tcf(c_44340,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_2294]) ).
tcf(c_44341,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_1883]) ).
tcf(c_44342,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_1835]) ).
tcf(c_44343,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44327,c_1774]) ).
tcf(c_44344,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_5023]) ).
tcf(c_44345,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44327,c_4917]) ).
tcf(c_44346,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_1038]) ).
tcf(c_44347,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_1004]) ).
tcf(c_44348,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_1582]) ).
tcf(c_44349,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44327,c_1264]) ).
tcf(c_44350,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1187]) ).
tcf(c_44351,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1186]) ).
tcf(c_44352,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1185]) ).
tcf(c_44353,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1184]) ).
tcf(c_44354,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1183]) ).
tcf(c_44355,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1182]) ).
tcf(c_44356,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1120]) ).
tcf(c_44357,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1119]) ).
tcf(c_44358,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1118]) ).
tcf(c_44359,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1117]) ).
tcf(c_44360,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1116]) ).
tcf(c_44361,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_1115]) ).
tcf(c_44362,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_951]) ).
tcf(c_44363,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44327,c_937]) ).
tcf(c_44364,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44327,c_69]) ).
tcf(c_44365,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_923]) ).
tcf(c_44366,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44327,c_68]) ).
tcf(c_44367,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44327,c_77]) ).
tcf(c_44368,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44327,c_71]) ).
tcf(c_44369,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44327,c_909]) ).
tcf(c_44370,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44327,c_76]) ).
tcf(c_44371,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44327,c_70]) ).
tcf(c_44372,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))),sdtpldt0(xa,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_74]) ).
tcf(c_44373,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),smndt0(sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_73]) ).
tcf(c_44374,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xq))) = sdtpldt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44327,c_63]) ).
tcf(c_44375,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xq)),sz00) = sdtpldt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44327,c_62]) ).
tcf(c_44376,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_61]) ).
tcf(c_44377,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_44327,c_60]) ).
tcf(c_44430,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xq))
| ( sdtasdt0(xm,sdtpldt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4343,c_59]) ).
tcf(c_44431,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xp,xq)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4343,c_72]) ).
tcf(c_44432,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_44431,c_56,c_4338]) ).
tcf(c_44433,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44430,c_56,c_4338]) ).
tcf(c_44437,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_5998]) ).
tcf(c_44438,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44432,c_5844]) ).
tcf(c_44439,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_4849]) ).
tcf(c_44440,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_4744]) ).
tcf(c_44441,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_4587]) ).
tcf(c_44442,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_4303]) ).
tcf(c_44443,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_3754]) ).
tcf(c_44444,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_3178]) ).
tcf(c_44445,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_3124]) ).
tcf(c_44446,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_3080]) ).
tcf(c_44447,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_2851]) ).
tcf(c_44448,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_2623]) ).
tcf(c_44449,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_2294]) ).
tcf(c_44450,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_1883]) ).
tcf(c_44451,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_1835]) ).
tcf(c_44452,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44432,c_1774]) ).
tcf(c_44453,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_5023]) ).
tcf(c_44454,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44432,c_4917]) ).
tcf(c_44455,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_1038]) ).
tcf(c_44456,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_1004]) ).
tcf(c_44457,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_1582]) ).
tcf(c_44458,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44432,c_1264]) ).
tcf(c_44459,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1187]) ).
tcf(c_44460,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1186]) ).
tcf(c_44461,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1185]) ).
tcf(c_44462,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1184]) ).
tcf(c_44463,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1183]) ).
tcf(c_44464,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1182]) ).
tcf(c_44465,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1120]) ).
tcf(c_44466,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1119]) ).
tcf(c_44467,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1118]) ).
tcf(c_44468,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1117]) ).
tcf(c_44469,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1116]) ).
tcf(c_44470,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_1115]) ).
tcf(c_44471,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_951]) ).
tcf(c_44472,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44432,c_937]) ).
tcf(c_44473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44432,c_69]) ).
tcf(c_44474,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_923]) ).
tcf(c_44475,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44432,c_68]) ).
tcf(c_44476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44432,c_77]) ).
tcf(c_44477,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44432,c_71]) ).
tcf(c_44478,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44432,c_909]) ).
tcf(c_44479,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44432,c_76]) ).
tcf(c_44480,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44432,c_70]) ).
tcf(c_44481,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))),sdtasdt0(xm,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_74]) ).
tcf(c_44482,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),smndt0(sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_73]) ).
tcf(c_44483,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xq))) = sdtasdt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44432,c_63]) ).
tcf(c_44484,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xq)),sz00) = sdtasdt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44432,c_62]) ).
tcf(c_44485,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_61]) ).
tcf(c_44486,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_44432,c_60]) ).
tcf(c_44738,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_13633]) ).
tcf(c_44739,plain,
sdtasdt0(sz00,sdtasdt0(xm,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44738,c_49]) ).
tcf(c_44746,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xq))
| ( sdtasdt0(xq,sdtpldt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4344,c_59]) ).
tcf(c_44747,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xp,xq)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4344,c_72]) ).
tcf(c_44748,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_44747,c_53,c_4338]) ).
tcf(c_44749,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44746,c_54,c_53,c_4338]) ).
tcf(c_44752,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_5998]) ).
tcf(c_44753,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44748,c_5844]) ).
tcf(c_44754,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_4849]) ).
tcf(c_44755,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_4744]) ).
tcf(c_44756,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_4587]) ).
tcf(c_44757,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_4303]) ).
tcf(c_44758,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_3754]) ).
tcf(c_44759,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_3178]) ).
tcf(c_44760,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_3124]) ).
tcf(c_44761,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_3080]) ).
tcf(c_44762,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_2851]) ).
tcf(c_44763,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_2623]) ).
tcf(c_44764,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_2294]) ).
tcf(c_44765,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_1883]) ).
tcf(c_44766,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_1835]) ).
tcf(c_44767,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44748,c_1774]) ).
tcf(c_44768,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_5023]) ).
tcf(c_44769,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44748,c_4917]) ).
tcf(c_44770,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_1038]) ).
tcf(c_44771,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_1004]) ).
tcf(c_44772,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_1582]) ).
tcf(c_44773,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44748,c_1264]) ).
tcf(c_44774,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1187]) ).
tcf(c_44775,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1186]) ).
tcf(c_44776,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1185]) ).
tcf(c_44777,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1184]) ).
tcf(c_44778,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1183]) ).
tcf(c_44779,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1182]) ).
tcf(c_44780,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1120]) ).
tcf(c_44781,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1119]) ).
tcf(c_44782,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1118]) ).
tcf(c_44783,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1117]) ).
tcf(c_44784,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1116]) ).
tcf(c_44785,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_1115]) ).
tcf(c_44786,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_951]) ).
tcf(c_44787,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44748,c_937]) ).
tcf(c_44788,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44748,c_69]) ).
tcf(c_44789,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_923]) ).
tcf(c_44790,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44748,c_68]) ).
tcf(c_44791,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44748,c_77]) ).
tcf(c_44792,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44748,c_71]) ).
tcf(c_44793,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44748,c_909]) ).
tcf(c_44794,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44748,c_76]) ).
tcf(c_44795,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44748,c_70]) ).
tcf(c_44796,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))),sdtasdt0(xq,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_74]) ).
tcf(c_44797,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),smndt0(sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_73]) ).
tcf(c_44798,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xq))) = sdtasdt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44748,c_63]) ).
tcf(c_44799,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xq)),sz00) = sdtasdt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44748,c_62]) ).
tcf(c_44800,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_61]) ).
tcf(c_44801,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_44748,c_60]) ).
tcf(c_44853,plain,
( ( xp = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xq))
| ( sdtasdt0(xp,sdtpldt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4345,c_59]) ).
tcf(c_44854,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xp,xq)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4345,c_72]) ).
tcf(c_44855,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_44854,c_51,c_4338]) ).
tcf(c_44856,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44853,c_52,c_51,c_4338]) ).
tcf(c_44859,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_5998]) ).
tcf(c_44860,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44855,c_5844]) ).
tcf(c_44861,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_4849]) ).
tcf(c_44862,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_4744]) ).
tcf(c_44863,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_4587]) ).
tcf(c_44864,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_4303]) ).
tcf(c_44865,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_3754]) ).
tcf(c_44866,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_3178]) ).
tcf(c_44867,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_3124]) ).
tcf(c_44868,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_3080]) ).
tcf(c_44869,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_2851]) ).
tcf(c_44870,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_2623]) ).
tcf(c_44871,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_2294]) ).
tcf(c_44872,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_1883]) ).
tcf(c_44873,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_1835]) ).
tcf(c_44874,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44855,c_1774]) ).
tcf(c_44875,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_5023]) ).
tcf(c_44876,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44855,c_4917]) ).
tcf(c_44877,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_1038]) ).
tcf(c_44878,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_1004]) ).
tcf(c_44879,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_1582]) ).
tcf(c_44880,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44855,c_1264]) ).
tcf(c_44881,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1187]) ).
tcf(c_44882,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1186]) ).
tcf(c_44883,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1185]) ).
tcf(c_44884,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1184]) ).
tcf(c_44885,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1183]) ).
tcf(c_44886,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1182]) ).
tcf(c_44887,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1120]) ).
tcf(c_44888,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1119]) ).
tcf(c_44889,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1118]) ).
tcf(c_44890,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1117]) ).
tcf(c_44891,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1116]) ).
tcf(c_44892,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_1115]) ).
tcf(c_44893,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_951]) ).
tcf(c_44894,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44855,c_937]) ).
tcf(c_44895,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44855,c_69]) ).
tcf(c_44896,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_923]) ).
tcf(c_44897,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44855,c_68]) ).
tcf(c_44898,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44855,c_77]) ).
tcf(c_44899,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44855,c_71]) ).
tcf(c_44900,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44855,c_909]) ).
tcf(c_44901,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44855,c_76]) ).
tcf(c_44902,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44855,c_70]) ).
tcf(c_44903,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))),sdtasdt0(xp,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_74]) ).
tcf(c_44904,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),smndt0(sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_73]) ).
tcf(c_44905,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xq))) = sdtasdt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44855,c_63]) ).
tcf(c_44906,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),sz00) = sdtasdt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44855,c_62]) ).
tcf(c_44907,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_61]) ).
tcf(c_44908,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_44855,c_60]) ).
tcf(c_44961,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_13634]) ).
tcf(c_44962,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44961,c_49]) ).
tcf(c_44971,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xq))
| ( sdtasdt0(xb,sdtpldt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4346,c_59]) ).
tcf(c_44972,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xp,xq)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4346,c_72]) ).
tcf(c_44973,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_44972,c_50,c_4338]) ).
tcf(c_44974,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44971,c_50,c_4338]) ).
tcf(c_44978,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_5998]) ).
tcf(c_44979,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44973,c_5844]) ).
tcf(c_44980,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_4849]) ).
tcf(c_44981,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_4744]) ).
tcf(c_44982,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_4587]) ).
tcf(c_44983,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_4303]) ).
tcf(c_44984,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_3754]) ).
tcf(c_44985,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_3178]) ).
tcf(c_44986,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_3124]) ).
tcf(c_44987,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_3080]) ).
tcf(c_44988,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_2851]) ).
tcf(c_44989,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_2623]) ).
tcf(c_44990,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_2294]) ).
tcf(c_44991,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_1883]) ).
tcf(c_44992,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_1835]) ).
tcf(c_44993,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_44973,c_1774]) ).
tcf(c_44994,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_5023]) ).
tcf(c_44995,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44973,c_4917]) ).
tcf(c_44996,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_1038]) ).
tcf(c_44997,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_1004]) ).
tcf(c_44998,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_1582]) ).
tcf(c_44999,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44973,c_1264]) ).
tcf(c_45000,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1187]) ).
tcf(c_45001,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1186]) ).
tcf(c_45002,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1185]) ).
tcf(c_45003,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1184]) ).
tcf(c_45004,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1183]) ).
tcf(c_45005,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1182]) ).
tcf(c_45006,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1120]) ).
tcf(c_45007,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1119]) ).
tcf(c_45008,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1118]) ).
tcf(c_45009,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1117]) ).
tcf(c_45010,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1116]) ).
tcf(c_45011,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_1115]) ).
tcf(c_45012,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_951]) ).
tcf(c_45013,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_44973,c_937]) ).
tcf(c_45014,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44973,c_69]) ).
tcf(c_45015,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_923]) ).
tcf(c_45016,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44973,c_68]) ).
tcf(c_45017,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44973,c_77]) ).
tcf(c_45018,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44973,c_71]) ).
tcf(c_45019,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44973,c_909]) ).
tcf(c_45020,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44973,c_76]) ).
tcf(c_45021,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44973,c_70]) ).
tcf(c_45022,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))),sdtasdt0(xb,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_74]) ).
tcf(c_45023,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),smndt0(sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_73]) ).
tcf(c_45024,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xq))) = sdtasdt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44973,c_63]) ).
tcf(c_45025,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xq)),sz00) = sdtasdt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_44973,c_62]) ).
tcf(c_45026,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_61]) ).
tcf(c_45027,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_44973,c_60]) ).
tcf(c_45102,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xq))
| ( sdtasdt0(xa,sdtpldt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4347,c_59]) ).
tcf(c_45103,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xp,xq)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4347,c_72]) ).
tcf(c_45104,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_45103,c_49,c_4338]) ).
tcf(c_45105,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45102,c_49,c_4338]) ).
tcf(c_45109,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_5998]) ).
tcf(c_45110,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45104,c_5844]) ).
tcf(c_45111,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_4849]) ).
tcf(c_45112,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_4744]) ).
tcf(c_45113,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_4587]) ).
tcf(c_45114,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_4303]) ).
tcf(c_45115,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_3754]) ).
tcf(c_45116,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_3178]) ).
tcf(c_45117,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_3124]) ).
tcf(c_45118,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_3080]) ).
tcf(c_45119,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_2851]) ).
tcf(c_45120,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_2623]) ).
tcf(c_45121,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_2294]) ).
tcf(c_45122,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_1883]) ).
tcf(c_45123,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_1835]) ).
tcf(c_45124,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_45104,c_1774]) ).
tcf(c_45125,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_5023]) ).
tcf(c_45126,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45104,c_4917]) ).
tcf(c_45127,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_1038]) ).
tcf(c_45128,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_1004]) ).
tcf(c_45129,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_1582]) ).
tcf(c_45130,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45104,c_1264]) ).
tcf(c_45131,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1187]) ).
tcf(c_45132,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1186]) ).
tcf(c_45133,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1185]) ).
tcf(c_45134,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1184]) ).
tcf(c_45135,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1183]) ).
tcf(c_45136,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1182]) ).
tcf(c_45137,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1120]) ).
tcf(c_45138,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1119]) ).
tcf(c_45139,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1118]) ).
tcf(c_45140,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1117]) ).
tcf(c_45141,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1116]) ).
tcf(c_45142,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_1115]) ).
tcf(c_45143,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_951]) ).
tcf(c_45144,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_45104,c_937]) ).
tcf(c_45145,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45104,c_69]) ).
tcf(c_45146,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_923]) ).
tcf(c_45147,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45104,c_68]) ).
tcf(c_45148,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45104,c_77]) ).
tcf(c_45149,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45104,c_71]) ).
tcf(c_45150,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45104,c_909]) ).
tcf(c_45151,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45104,c_76]) ).
tcf(c_45152,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45104,c_70]) ).
tcf(c_45153,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))),sdtasdt0(xa,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_74]) ).
tcf(c_45154,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),smndt0(sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_73]) ).
tcf(c_45155,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xq))) = sdtasdt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_45104,c_63]) ).
tcf(c_45156,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xq)),sz00) = sdtasdt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_45104,c_62]) ).
tcf(c_45157,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_61]) ).
tcf(c_45158,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_45104,c_60]) ).
tcf(c_45444,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_13993]) ).
tcf(c_45445,plain,
sdtasdt0(sz00,sdtasdt0(xm,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45444,c_51]) ).
tcf(c_45452,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_13994]) ).
tcf(c_45453,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45452,c_51]) ).
tcf(c_45462,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xp,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4415,c_78]) ).
tcf(c_45463,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_45462,c_51,c_4414]) ).
tcf(c_45464,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_5998]) ).
tcf(c_45465,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45463,c_5844]) ).
tcf(c_45466,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_4849]) ).
tcf(c_45467,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_4744]) ).
tcf(c_45468,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_4587]) ).
tcf(c_45469,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_4303]) ).
tcf(c_45470,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_3754]) ).
tcf(c_45471,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_3178]) ).
tcf(c_45472,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_3124]) ).
tcf(c_45473,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_3080]) ).
tcf(c_45474,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_2851]) ).
tcf(c_45475,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_2623]) ).
tcf(c_45476,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_2294]) ).
tcf(c_45477,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_1883]) ).
tcf(c_45478,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_1835]) ).
tcf(c_45479,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45463,c_1774]) ).
tcf(c_45480,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_5023]) ).
tcf(c_45481,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45463,c_4917]) ).
tcf(c_45482,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_1038]) ).
tcf(c_45483,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_1004]) ).
tcf(c_45484,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_1582]) ).
tcf(c_45485,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45463,c_1264]) ).
tcf(c_45486,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1187]) ).
tcf(c_45487,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1186]) ).
tcf(c_45488,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1185]) ).
tcf(c_45489,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1184]) ).
tcf(c_45490,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1183]) ).
tcf(c_45491,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1182]) ).
tcf(c_45492,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1120]) ).
tcf(c_45493,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1119]) ).
tcf(c_45494,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1118]) ).
tcf(c_45495,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1117]) ).
tcf(c_45496,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1116]) ).
tcf(c_45497,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_1115]) ).
tcf(c_45498,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_951]) ).
tcf(c_45499,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45463,c_937]) ).
tcf(c_45500,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45463,c_69]) ).
tcf(c_45501,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_923]) ).
tcf(c_45502,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45463,c_68]) ).
tcf(c_45503,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45463,c_77]) ).
tcf(c_45504,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45463,c_71]) ).
tcf(c_45505,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45463,c_909]) ).
tcf(c_45506,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45463,c_76]) ).
tcf(c_45507,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45463,c_70]) ).
tcf(c_45508,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))),sdtpldt0(xp,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_74]) ).
tcf(c_45509,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),smndt0(sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_73]) ).
tcf(c_45510,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xm))) = sdtpldt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45463,c_63]) ).
tcf(c_45511,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xp,xm)),sz00) = sdtpldt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45463,c_62]) ).
tcf(c_45512,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_61]) ).
tcf(c_45513,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_45463,c_60]) ).
tcf(c_45588,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xp,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4416,c_78]) ).
tcf(c_45589,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_45588,c_50,c_4414]) ).
tcf(c_45590,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_5998]) ).
tcf(c_45591,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45589,c_5844]) ).
tcf(c_45592,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_4849]) ).
tcf(c_45593,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_4744]) ).
tcf(c_45594,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_4587]) ).
tcf(c_45595,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_4303]) ).
tcf(c_45596,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_3754]) ).
tcf(c_45597,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_3178]) ).
tcf(c_45598,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_3124]) ).
tcf(c_45599,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_3080]) ).
tcf(c_45600,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_2851]) ).
tcf(c_45601,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_2623]) ).
tcf(c_45602,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_2294]) ).
tcf(c_45603,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_1883]) ).
tcf(c_45604,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_1835]) ).
tcf(c_45605,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45589,c_1774]) ).
tcf(c_45606,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_5023]) ).
tcf(c_45607,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45589,c_4917]) ).
tcf(c_45608,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_1038]) ).
tcf(c_45609,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_1004]) ).
tcf(c_45610,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_1582]) ).
tcf(c_45611,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45589,c_1264]) ).
tcf(c_45612,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1187]) ).
tcf(c_45613,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1186]) ).
tcf(c_45614,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1185]) ).
tcf(c_45615,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1184]) ).
tcf(c_45616,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1183]) ).
tcf(c_45617,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1182]) ).
tcf(c_45618,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1120]) ).
tcf(c_45619,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1119]) ).
tcf(c_45620,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1118]) ).
tcf(c_45621,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1117]) ).
tcf(c_45622,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1116]) ).
tcf(c_45623,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_1115]) ).
tcf(c_45624,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_951]) ).
tcf(c_45625,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45589,c_937]) ).
tcf(c_45626,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45589,c_69]) ).
tcf(c_45627,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_923]) ).
tcf(c_45628,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45589,c_68]) ).
tcf(c_45629,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45589,c_77]) ).
tcf(c_45630,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45589,c_71]) ).
tcf(c_45631,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45589,c_909]) ).
tcf(c_45632,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45589,c_76]) ).
tcf(c_45633,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45589,c_70]) ).
tcf(c_45634,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))),sdtpldt0(xb,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_74]) ).
tcf(c_45635,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),smndt0(sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_73]) ).
tcf(c_45636,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xm))) = sdtpldt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45589,c_63]) ).
tcf(c_45637,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xp,xm)),sz00) = sdtpldt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45589,c_62]) ).
tcf(c_45638,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_61]) ).
tcf(c_45639,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_45589,c_60]) ).
tcf(c_45692,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_14190]) ).
tcf(c_45693,plain,
sdtasdt0(sz00,sdtasdt0(xm,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45692,c_53]) ).
tcf(c_45700,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xp,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4417,c_78]) ).
tcf(c_45701,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_45700,c_49,c_4414]) ).
tcf(c_45702,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_5998]) ).
tcf(c_45703,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45701,c_5844]) ).
tcf(c_45704,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_4849]) ).
tcf(c_45705,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_4744]) ).
tcf(c_45706,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_4587]) ).
tcf(c_45707,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_4303]) ).
tcf(c_45708,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_3754]) ).
tcf(c_45709,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_3178]) ).
tcf(c_45710,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_3124]) ).
tcf(c_45711,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_3080]) ).
tcf(c_45712,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_2851]) ).
tcf(c_45713,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_2623]) ).
tcf(c_45714,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_2294]) ).
tcf(c_45715,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_1883]) ).
tcf(c_45716,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_1835]) ).
tcf(c_45717,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45701,c_1774]) ).
tcf(c_45718,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_5023]) ).
tcf(c_45719,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45701,c_4917]) ).
tcf(c_45720,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_1038]) ).
tcf(c_45721,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_1004]) ).
tcf(c_45722,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_1582]) ).
tcf(c_45723,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45701,c_1264]) ).
tcf(c_45724,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1187]) ).
tcf(c_45725,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1186]) ).
tcf(c_45726,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1185]) ).
tcf(c_45727,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1184]) ).
tcf(c_45728,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1183]) ).
tcf(c_45729,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1182]) ).
tcf(c_45730,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1120]) ).
tcf(c_45731,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1119]) ).
tcf(c_45732,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1118]) ).
tcf(c_45733,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1117]) ).
tcf(c_45734,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1116]) ).
tcf(c_45735,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_1115]) ).
tcf(c_45736,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_951]) ).
tcf(c_45737,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45701,c_937]) ).
tcf(c_45738,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45701,c_69]) ).
tcf(c_45739,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_923]) ).
tcf(c_45740,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45701,c_68]) ).
tcf(c_45741,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45701,c_77]) ).
tcf(c_45742,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45701,c_71]) ).
tcf(c_45743,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45701,c_909]) ).
tcf(c_45744,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45701,c_76]) ).
tcf(c_45745,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45701,c_70]) ).
tcf(c_45746,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))),sdtpldt0(xa,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_74]) ).
tcf(c_45747,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),smndt0(sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_73]) ).
tcf(c_45748,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xm))) = sdtpldt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45701,c_63]) ).
tcf(c_45749,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xp,xm)),sz00) = sdtpldt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45701,c_62]) ).
tcf(c_45750,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_61]) ).
tcf(c_45751,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_45701,c_60]) ).
tcf(c_45990,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xm))
| ( sdtasdt0(xm,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4419,c_59]) ).
tcf(c_45991,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xp,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4419,c_72]) ).
tcf(c_45992,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_45991,c_56,c_4414]) ).
tcf(c_45993,plain,
( ( sz00 = xm )
| ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45990,c_56,c_4414]) ).
tcf(c_45997,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_5998]) ).
tcf(c_45998,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45992,c_5844]) ).
tcf(c_45999,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_4849]) ).
tcf(c_46000,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_4744]) ).
tcf(c_46001,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_4587]) ).
tcf(c_46002,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_4303]) ).
tcf(c_46003,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_3754]) ).
tcf(c_46004,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_3178]) ).
tcf(c_46005,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_3124]) ).
tcf(c_46006,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_3080]) ).
tcf(c_46007,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_2851]) ).
tcf(c_46008,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_2623]) ).
tcf(c_46009,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_2294]) ).
tcf(c_46010,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_1883]) ).
tcf(c_46011,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_1835]) ).
tcf(c_46012,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_45992,c_1774]) ).
tcf(c_46013,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_5023]) ).
tcf(c_46014,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45992,c_4917]) ).
tcf(c_46015,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_1038]) ).
tcf(c_46016,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_1004]) ).
tcf(c_46017,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_1582]) ).
tcf(c_46018,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45992,c_1264]) ).
tcf(c_46019,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1187]) ).
tcf(c_46020,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1186]) ).
tcf(c_46021,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1185]) ).
tcf(c_46022,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1184]) ).
tcf(c_46023,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1183]) ).
tcf(c_46024,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1182]) ).
tcf(c_46025,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1120]) ).
tcf(c_46026,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1119]) ).
tcf(c_46027,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1118]) ).
tcf(c_46028,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1117]) ).
tcf(c_46029,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1116]) ).
tcf(c_46030,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_1115]) ).
tcf(c_46031,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_951]) ).
tcf(c_46032,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_45992,c_937]) ).
tcf(c_46033,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45992,c_69]) ).
tcf(c_46034,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_923]) ).
tcf(c_46035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45992,c_68]) ).
tcf(c_46036,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45992,c_77]) ).
tcf(c_46037,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45992,c_71]) ).
tcf(c_46038,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45992,c_909]) ).
tcf(c_46039,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45992,c_76]) ).
tcf(c_46040,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45992,c_70]) ).
tcf(c_46041,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))),sdtasdt0(xm,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_74]) ).
tcf(c_46042,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),smndt0(sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_73]) ).
tcf(c_46043,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xm))) = sdtasdt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45992,c_63]) ).
tcf(c_46044,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xp,xm)),sz00) = sdtasdt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_45992,c_62]) ).
tcf(c_46045,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_61]) ).
tcf(c_46046,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_45992,c_60]) ).
tcf(c_46128,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_14191]) ).
tcf(c_46129,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46128,c_53]) ).
tcf(c_46136,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_14372]) ).
tcf(c_46137,plain,
sdtasdt0(sz00,sdtasdt0(xm,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46136,c_56]) ).
tcf(c_46144,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xm))
| ( sdtasdt0(xq,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4420,c_59]) ).
tcf(c_46145,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xp,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4420,c_72]) ).
tcf(c_46146,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_46145,c_53,c_4414]) ).
tcf(c_46147,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46144,c_54,c_53,c_4414]) ).
tcf(c_46150,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_5998]) ).
tcf(c_46151,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46146,c_5844]) ).
tcf(c_46152,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_4849]) ).
tcf(c_46153,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_4744]) ).
tcf(c_46154,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_4587]) ).
tcf(c_46155,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_4303]) ).
tcf(c_46156,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_3754]) ).
tcf(c_46157,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_3178]) ).
tcf(c_46158,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_3124]) ).
tcf(c_46159,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_3080]) ).
tcf(c_46160,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_2851]) ).
tcf(c_46161,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_2623]) ).
tcf(c_46162,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_2294]) ).
tcf(c_46163,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_1883]) ).
tcf(c_46164,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_1835]) ).
tcf(c_46165,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46146,c_1774]) ).
tcf(c_46166,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_5023]) ).
tcf(c_46167,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46146,c_4917]) ).
tcf(c_46168,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_1038]) ).
tcf(c_46169,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_1004]) ).
tcf(c_46170,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_1582]) ).
tcf(c_46171,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46146,c_1264]) ).
tcf(c_46172,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1187]) ).
tcf(c_46173,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1186]) ).
tcf(c_46174,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1185]) ).
tcf(c_46175,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1184]) ).
tcf(c_46176,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1183]) ).
tcf(c_46177,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1182]) ).
tcf(c_46178,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1120]) ).
tcf(c_46179,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1119]) ).
tcf(c_46180,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1118]) ).
tcf(c_46181,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1117]) ).
tcf(c_46182,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1116]) ).
tcf(c_46183,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_1115]) ).
tcf(c_46184,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_951]) ).
tcf(c_46185,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46146,c_937]) ).
tcf(c_46186,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46146,c_69]) ).
tcf(c_46187,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_923]) ).
tcf(c_46188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46146,c_68]) ).
tcf(c_46189,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46146,c_77]) ).
tcf(c_46190,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46146,c_71]) ).
tcf(c_46191,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46146,c_909]) ).
tcf(c_46192,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46146,c_76]) ).
tcf(c_46193,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46146,c_70]) ).
tcf(c_46194,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))),sdtasdt0(xq,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_74]) ).
tcf(c_46195,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),smndt0(sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_73]) ).
tcf(c_46196,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xm))) = sdtasdt0(xq,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46146,c_63]) ).
tcf(c_46197,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xp,xm)),sz00) = sdtasdt0(xq,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46146,c_62]) ).
tcf(c_46198,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_61]) ).
tcf(c_46199,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_46146,c_60]) ).
tcf(c_46251,plain,
( ( xp = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xm))
| ( sdtasdt0(xp,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4421,c_59]) ).
tcf(c_46252,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xp,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4421,c_72]) ).
tcf(c_46253,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_46252,c_51,c_4414]) ).
tcf(c_46254,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46251,c_52,c_51,c_4414]) ).
tcf(c_46257,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_5998]) ).
tcf(c_46258,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46253,c_5844]) ).
tcf(c_46259,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_4849]) ).
tcf(c_46260,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_4744]) ).
tcf(c_46261,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_4587]) ).
tcf(c_46262,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_4303]) ).
tcf(c_46263,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_3754]) ).
tcf(c_46264,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_3178]) ).
tcf(c_46265,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_3124]) ).
tcf(c_46266,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_3080]) ).
tcf(c_46267,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_2851]) ).
tcf(c_46268,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_2623]) ).
tcf(c_46269,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_2294]) ).
tcf(c_46270,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_1883]) ).
tcf(c_46271,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_1835]) ).
tcf(c_46272,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46253,c_1774]) ).
tcf(c_46273,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_5023]) ).
tcf(c_46274,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46253,c_4917]) ).
tcf(c_46275,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_1038]) ).
tcf(c_46276,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_1004]) ).
tcf(c_46277,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_1582]) ).
tcf(c_46278,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46253,c_1264]) ).
tcf(c_46279,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1187]) ).
tcf(c_46280,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1186]) ).
tcf(c_46281,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1185]) ).
tcf(c_46282,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1184]) ).
tcf(c_46283,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1183]) ).
tcf(c_46284,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1182]) ).
tcf(c_46285,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1120]) ).
tcf(c_46286,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1119]) ).
tcf(c_46287,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1118]) ).
tcf(c_46288,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1117]) ).
tcf(c_46289,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1116]) ).
tcf(c_46290,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_1115]) ).
tcf(c_46291,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_951]) ).
tcf(c_46292,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46253,c_937]) ).
tcf(c_46293,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46253,c_69]) ).
tcf(c_46294,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_923]) ).
tcf(c_46295,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46253,c_68]) ).
tcf(c_46296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46253,c_77]) ).
tcf(c_46297,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46253,c_71]) ).
tcf(c_46298,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46253,c_909]) ).
tcf(c_46299,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46253,c_76]) ).
tcf(c_46300,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46253,c_70]) ).
tcf(c_46301,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))),sdtasdt0(xp,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_74]) ).
tcf(c_46302,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),smndt0(sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_73]) ).
tcf(c_46303,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xm))) = sdtasdt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46253,c_63]) ).
tcf(c_46304,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xp,xm)),sz00) = sdtasdt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46253,c_62]) ).
tcf(c_46305,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_61]) ).
tcf(c_46306,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_46253,c_60]) ).
tcf(c_46533,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_4305,c_78]) ).
tcf(c_46534,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_46533,c_51,c_1633]) ).
tcf(c_46535,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_5998]) ).
tcf(c_46536,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46534,c_5844]) ).
tcf(c_46537,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_4849]) ).
tcf(c_46538,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_4744]) ).
tcf(c_46539,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_4587]) ).
tcf(c_46540,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_4303]) ).
tcf(c_46541,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_3754]) ).
tcf(c_46542,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_3178]) ).
tcf(c_46543,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_3124]) ).
tcf(c_46544,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_3080]) ).
tcf(c_46545,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_2851]) ).
tcf(c_46546,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_2623]) ).
tcf(c_46547,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_2294]) ).
tcf(c_46548,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_1883]) ).
tcf(c_46549,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_1835]) ).
tcf(c_46550,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_46534,c_1774]) ).
tcf(c_46551,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_5023]) ).
tcf(c_46552,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46534,c_4917]) ).
tcf(c_46553,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_1038]) ).
tcf(c_46554,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_1004]) ).
tcf(c_46555,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_1582]) ).
tcf(c_46556,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46534,c_1264]) ).
tcf(c_46557,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1187]) ).
tcf(c_46558,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1186]) ).
tcf(c_46559,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1185]) ).
tcf(c_46560,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1184]) ).
tcf(c_46561,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1183]) ).
tcf(c_46562,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1182]) ).
tcf(c_46563,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1120]) ).
tcf(c_46564,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1119]) ).
tcf(c_46565,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1118]) ).
tcf(c_46566,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1117]) ).
tcf(c_46567,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1116]) ).
tcf(c_46568,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_1115]) ).
tcf(c_46569,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_951]) ).
tcf(c_46570,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_46534,c_937]) ).
tcf(c_46571,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46534,c_69]) ).
tcf(c_46572,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_923]) ).
tcf(c_46573,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46534,c_68]) ).
tcf(c_46574,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46534,c_77]) ).
tcf(c_46575,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46534,c_71]) ).
tcf(c_46576,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46534,c_909]) ).
tcf(c_46577,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46534,c_76]) ).
tcf(c_46578,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46534,c_70]) ).
tcf(c_46579,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_74]) ).
tcf(c_46580,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_73]) ).
tcf(c_46581,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))) = sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_46534,c_63]) ).
tcf(c_46582,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_46534,c_62]) ).
tcf(c_46583,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_61]) ).
tcf(c_46584,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46534,c_60]) ).
tcf(c_46661,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xm))
| ( sdtasdt0(xb,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4422,c_59]) ).
tcf(c_46662,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xp,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4422,c_72]) ).
tcf(c_46663,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_46662,c_50,c_4414]) ).
tcf(c_46664,plain,
( ( xb = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46661,c_50,c_4414]) ).
tcf(c_46668,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_5998]) ).
tcf(c_46669,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46663,c_5844]) ).
tcf(c_46670,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_4849]) ).
tcf(c_46671,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_4744]) ).
tcf(c_46672,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_4587]) ).
tcf(c_46673,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_4303]) ).
tcf(c_46674,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_3754]) ).
tcf(c_46675,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_3178]) ).
tcf(c_46676,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_3124]) ).
tcf(c_46677,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_3080]) ).
tcf(c_46678,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_2851]) ).
tcf(c_46679,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_2623]) ).
tcf(c_46680,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_2294]) ).
tcf(c_46681,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_1883]) ).
tcf(c_46682,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_1835]) ).
tcf(c_46683,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46663,c_1774]) ).
tcf(c_46684,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_5023]) ).
tcf(c_46685,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46663,c_4917]) ).
tcf(c_46686,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_1038]) ).
tcf(c_46687,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_1004]) ).
tcf(c_46688,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_1582]) ).
tcf(c_46689,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46663,c_1264]) ).
tcf(c_46690,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1187]) ).
tcf(c_46691,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1186]) ).
tcf(c_46692,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1185]) ).
tcf(c_46693,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1184]) ).
tcf(c_46694,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1183]) ).
tcf(c_46695,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1182]) ).
tcf(c_46696,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1120]) ).
tcf(c_46697,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1119]) ).
tcf(c_46698,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1118]) ).
tcf(c_46699,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1117]) ).
tcf(c_46700,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1116]) ).
tcf(c_46701,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_1115]) ).
tcf(c_46702,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_951]) ).
tcf(c_46703,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46663,c_937]) ).
tcf(c_46704,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46663,c_69]) ).
tcf(c_46705,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_923]) ).
tcf(c_46706,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46663,c_68]) ).
tcf(c_46707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46663,c_77]) ).
tcf(c_46708,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46663,c_71]) ).
tcf(c_46709,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46663,c_909]) ).
tcf(c_46710,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46663,c_76]) ).
tcf(c_46711,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46663,c_70]) ).
tcf(c_46712,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))),sdtasdt0(xb,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_74]) ).
tcf(c_46713,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),smndt0(sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_73]) ).
tcf(c_46714,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xm))) = sdtasdt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46663,c_63]) ).
tcf(c_46715,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xp,xm)),sz00) = sdtasdt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46663,c_62]) ).
tcf(c_46716,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_61]) ).
tcf(c_46717,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_46663,c_60]) ).
tcf(c_46769,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xm))
| ( sdtasdt0(xa,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4423,c_59]) ).
tcf(c_46770,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xp,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4423,c_72]) ).
tcf(c_46771,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_46770,c_49,c_4414]) ).
tcf(c_46772,plain,
( ( xa = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46769,c_49,c_4414]) ).
tcf(c_46776,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_5998]) ).
tcf(c_46777,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46771,c_5844]) ).
tcf(c_46778,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_4849]) ).
tcf(c_46779,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_4744]) ).
tcf(c_46780,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_4587]) ).
tcf(c_46781,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_4303]) ).
tcf(c_46782,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_3754]) ).
tcf(c_46783,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_3178]) ).
tcf(c_46784,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_3124]) ).
tcf(c_46785,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_3080]) ).
tcf(c_46786,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_2851]) ).
tcf(c_46787,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_2623]) ).
tcf(c_46788,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_2294]) ).
tcf(c_46789,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_1883]) ).
tcf(c_46790,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_1835]) ).
tcf(c_46791,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_46771,c_1774]) ).
tcf(c_46792,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_5023]) ).
tcf(c_46793,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46771,c_4917]) ).
tcf(c_46794,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_1038]) ).
tcf(c_46795,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_1004]) ).
tcf(c_46796,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_1582]) ).
tcf(c_46797,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46771,c_1264]) ).
tcf(c_46798,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1187]) ).
tcf(c_46799,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1186]) ).
tcf(c_46800,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1185]) ).
tcf(c_46801,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1184]) ).
tcf(c_46802,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1183]) ).
tcf(c_46803,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1182]) ).
tcf(c_46804,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1120]) ).
tcf(c_46805,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1119]) ).
tcf(c_46806,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1118]) ).
tcf(c_46807,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1117]) ).
tcf(c_46808,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1116]) ).
tcf(c_46809,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_1115]) ).
tcf(c_46810,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_951]) ).
tcf(c_46811,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_46771,c_937]) ).
tcf(c_46812,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46771,c_69]) ).
tcf(c_46813,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_923]) ).
tcf(c_46814,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46771,c_68]) ).
tcf(c_46815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46771,c_77]) ).
tcf(c_46816,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46771,c_71]) ).
tcf(c_46817,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46771,c_909]) ).
tcf(c_46818,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46771,c_76]) ).
tcf(c_46819,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46771,c_70]) ).
tcf(c_46820,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))),sdtasdt0(xa,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_74]) ).
tcf(c_46821,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),smndt0(sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_73]) ).
tcf(c_46822,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xm))) = sdtasdt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46771,c_63]) ).
tcf(c_46823,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xp,xm)),sz00) = sdtasdt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_46771,c_62]) ).
tcf(c_46824,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_61]) ).
tcf(c_46825,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_46771,c_60]) ).
tcf(c_47109,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_4314,c_78]) ).
tcf(c_47110,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_47109,c_51,c_3596]) ).
tcf(c_47111,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_5998]) ).
tcf(c_47112,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47110,c_5844]) ).
tcf(c_47113,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_4849]) ).
tcf(c_47114,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_4744]) ).
tcf(c_47115,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_4587]) ).
tcf(c_47116,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_4303]) ).
tcf(c_47117,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_3754]) ).
tcf(c_47118,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_3178]) ).
tcf(c_47119,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_3124]) ).
tcf(c_47120,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_3080]) ).
tcf(c_47121,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_2851]) ).
tcf(c_47122,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_2623]) ).
tcf(c_47123,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_2294]) ).
tcf(c_47124,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_1883]) ).
tcf(c_47125,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_1835]) ).
tcf(c_47126,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_47110,c_1774]) ).
tcf(c_47127,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_5023]) ).
tcf(c_47128,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47110,c_4917]) ).
tcf(c_47129,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_1038]) ).
tcf(c_47130,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_1004]) ).
tcf(c_47131,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_1582]) ).
tcf(c_47132,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47110,c_1264]) ).
tcf(c_47133,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1187]) ).
tcf(c_47134,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1186]) ).
tcf(c_47135,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1185]) ).
tcf(c_47136,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1184]) ).
tcf(c_47137,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1183]) ).
tcf(c_47138,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1182]) ).
tcf(c_47139,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1120]) ).
tcf(c_47140,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1119]) ).
tcf(c_47141,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1118]) ).
tcf(c_47142,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1117]) ).
tcf(c_47143,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1116]) ).
tcf(c_47144,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_1115]) ).
tcf(c_47145,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_951]) ).
tcf(c_47146,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47110,c_937]) ).
tcf(c_47147,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47110,c_69]) ).
tcf(c_47148,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_923]) ).
tcf(c_47149,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47110,c_68]) ).
tcf(c_47150,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47110,c_77]) ).
tcf(c_47151,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47110,c_71]) ).
tcf(c_47152,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47110,c_909]) ).
tcf(c_47153,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47110,c_76]) ).
tcf(c_47154,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47110,c_70]) ).
tcf(c_47155,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_74]) ).
tcf(c_47156,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_73]) ).
tcf(c_47157,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47110,c_63]) ).
tcf(c_47158,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47110,c_62]) ).
tcf(c_47159,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_61]) ).
tcf(c_47160,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47110,c_60]) ).
tcf(c_47208,plain,
( ( sdtasdt0(sdtasdt0(xm,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_14373]) ).
tcf(c_47209,plain,
sdtasdt0(sdtasdt0(xm,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_47208,c_56]) ).
tcf(c_47222,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xp,xq)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4590,c_78]) ).
tcf(c_47223,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_47222,c_53,c_2661]) ).
tcf(c_47224,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_5998]) ).
tcf(c_47225,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47223,c_5844]) ).
tcf(c_47226,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_4849]) ).
tcf(c_47227,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_4744]) ).
tcf(c_47228,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_4587]) ).
tcf(c_47229,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_4303]) ).
tcf(c_47230,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_3754]) ).
tcf(c_47231,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_3178]) ).
tcf(c_47232,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_3124]) ).
tcf(c_47233,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_3080]) ).
tcf(c_47234,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_2851]) ).
tcf(c_47235,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_2623]) ).
tcf(c_47236,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_2294]) ).
tcf(c_47237,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_1883]) ).
tcf(c_47238,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_1835]) ).
tcf(c_47239,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_47223,c_1774]) ).
tcf(c_47240,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_5023]) ).
tcf(c_47241,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47223,c_4917]) ).
tcf(c_47242,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_1038]) ).
tcf(c_47243,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_1004]) ).
tcf(c_47244,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_1582]) ).
tcf(c_47245,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47223,c_1264]) ).
tcf(c_47246,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1187]) ).
tcf(c_47247,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1186]) ).
tcf(c_47248,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1185]) ).
tcf(c_47249,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1184]) ).
tcf(c_47250,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1183]) ).
tcf(c_47251,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1182]) ).
tcf(c_47252,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1120]) ).
tcf(c_47253,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1119]) ).
tcf(c_47254,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1118]) ).
tcf(c_47255,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1117]) ).
tcf(c_47256,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1116]) ).
tcf(c_47257,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_1115]) ).
tcf(c_47258,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_951]) ).
tcf(c_47259,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_47223,c_937]) ).
tcf(c_47260,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47223,c_69]) ).
tcf(c_47261,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_923]) ).
tcf(c_47262,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47223,c_68]) ).
tcf(c_47263,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47223,c_77]) ).
tcf(c_47264,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47223,c_71]) ).
tcf(c_47265,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47223,c_909]) ).
tcf(c_47266,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47223,c_76]) ).
tcf(c_47267,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47223,c_70]) ).
tcf(c_47268,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))),sdtpldt0(xq,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_74]) ).
tcf(c_47269,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),smndt0(sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_73]) ).
tcf(c_47270,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xq))) = sdtpldt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_47223,c_63]) ).
tcf(c_47271,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sz00) = sdtpldt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_47223,c_62]) ).
tcf(c_47272,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_61]) ).
tcf(c_47273,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_47223,c_60]) ).
tcf(c_47348,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xp,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_4591,c_78]) ).
tcf(c_47349,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_47348,c_53,c_1975]) ).
tcf(c_47350,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_5998]) ).
tcf(c_47351,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47349,c_5844]) ).
tcf(c_47352,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_4849]) ).
tcf(c_47353,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_4744]) ).
tcf(c_47354,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_4587]) ).
tcf(c_47355,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_4303]) ).
tcf(c_47356,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_3754]) ).
tcf(c_47357,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_3178]) ).
tcf(c_47358,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_3124]) ).
tcf(c_47359,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_3080]) ).
tcf(c_47360,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_2851]) ).
tcf(c_47361,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_2623]) ).
tcf(c_47362,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_2294]) ).
tcf(c_47363,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_1883]) ).
tcf(c_47364,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_1835]) ).
tcf(c_47365,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_47349,c_1774]) ).
tcf(c_47366,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_5023]) ).
tcf(c_47367,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47349,c_4917]) ).
tcf(c_47368,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_1038]) ).
tcf(c_47369,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_1004]) ).
tcf(c_47370,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_1582]) ).
tcf(c_47371,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47349,c_1264]) ).
tcf(c_47372,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1187]) ).
tcf(c_47373,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1186]) ).
tcf(c_47374,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1185]) ).
tcf(c_47375,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1184]) ).
tcf(c_47376,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1183]) ).
tcf(c_47377,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1182]) ).
tcf(c_47378,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1120]) ).
tcf(c_47379,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1119]) ).
tcf(c_47380,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1118]) ).
tcf(c_47381,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1117]) ).
tcf(c_47382,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1116]) ).
tcf(c_47383,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_1115]) ).
tcf(c_47384,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_951]) ).
tcf(c_47385,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_47349,c_937]) ).
tcf(c_47386,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47349,c_69]) ).
tcf(c_47387,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_923]) ).
tcf(c_47388,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47349,c_68]) ).
tcf(c_47389,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47349,c_77]) ).
tcf(c_47390,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47349,c_71]) ).
tcf(c_47391,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47349,c_909]) ).
tcf(c_47392,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47349,c_76]) ).
tcf(c_47393,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47349,c_70]) ).
tcf(c_47394,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))),sdtpldt0(xq,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_74]) ).
tcf(c_47395,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),smndt0(sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_73]) ).
tcf(c_47396,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xa))) = sdtpldt0(xq,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_47349,c_63]) ).
tcf(c_47397,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xa)),sz00) = sdtpldt0(xq,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_47349,c_62]) ).
tcf(c_47398,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_61]) ).
tcf(c_47399,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_47349,c_60]) ).
tcf(c_47621,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4324,c_78]) ).
tcf(c_47622,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_47621,c_51,c_4122]) ).
tcf(c_47623,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_5998]) ).
tcf(c_47624,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47622,c_5844]) ).
tcf(c_47625,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_4849]) ).
tcf(c_47626,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_4744]) ).
tcf(c_47627,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_4587]) ).
tcf(c_47628,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_4303]) ).
tcf(c_47629,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_3754]) ).
tcf(c_47630,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_3178]) ).
tcf(c_47631,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_3124]) ).
tcf(c_47632,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_3080]) ).
tcf(c_47633,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_2851]) ).
tcf(c_47634,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_2623]) ).
tcf(c_47635,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_2294]) ).
tcf(c_47636,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_1883]) ).
tcf(c_47637,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_1835]) ).
tcf(c_47638,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_47622,c_1774]) ).
tcf(c_47639,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_5023]) ).
tcf(c_47640,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47622,c_4917]) ).
tcf(c_47641,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_1038]) ).
tcf(c_47642,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_1004]) ).
tcf(c_47643,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_1582]) ).
tcf(c_47644,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47622,c_1264]) ).
tcf(c_47645,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1187]) ).
tcf(c_47646,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1186]) ).
tcf(c_47647,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1185]) ).
tcf(c_47648,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1184]) ).
tcf(c_47649,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1183]) ).
tcf(c_47650,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1182]) ).
tcf(c_47651,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1120]) ).
tcf(c_47652,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1119]) ).
tcf(c_47653,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1118]) ).
tcf(c_47654,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1117]) ).
tcf(c_47655,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1116]) ).
tcf(c_47656,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_1115]) ).
tcf(c_47657,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_951]) ).
tcf(c_47658,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47622,c_937]) ).
tcf(c_47659,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47622,c_69]) ).
tcf(c_47660,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_923]) ).
tcf(c_47661,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47622,c_68]) ).
tcf(c_47662,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47622,c_77]) ).
tcf(c_47663,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47622,c_71]) ).
tcf(c_47664,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47622,c_909]) ).
tcf(c_47665,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47622,c_76]) ).
tcf(c_47666,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47622,c_70]) ).
tcf(c_47667,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_74]) ).
tcf(c_47668,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_73]) ).
tcf(c_47669,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47622,c_63]) ).
tcf(c_47670,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47622,c_62]) ).
tcf(c_47671,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_61]) ).
tcf(c_47672,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47622,c_60]) ).
tcf(c_47726,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xa,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_4592,c_78]) ).
tcf(c_47727,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_47726,c_53,c_1914]) ).
tcf(c_47728,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_5998]) ).
tcf(c_47729,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47727,c_5844]) ).
tcf(c_47730,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_4849]) ).
tcf(c_47731,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_4744]) ).
tcf(c_47732,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_4587]) ).
tcf(c_47733,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_4303]) ).
tcf(c_47734,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_3754]) ).
tcf(c_47735,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_3178]) ).
tcf(c_47736,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_3124]) ).
tcf(c_47737,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_3080]) ).
tcf(c_47738,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_2851]) ).
tcf(c_47739,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_2623]) ).
tcf(c_47740,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_2294]) ).
tcf(c_47741,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_1883]) ).
tcf(c_47742,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_1835]) ).
tcf(c_47743,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_47727,c_1774]) ).
tcf(c_47744,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_5023]) ).
tcf(c_47745,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47727,c_4917]) ).
tcf(c_47746,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_1038]) ).
tcf(c_47747,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_1004]) ).
tcf(c_47748,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_1582]) ).
tcf(c_47749,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47727,c_1264]) ).
tcf(c_47750,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1187]) ).
tcf(c_47751,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1186]) ).
tcf(c_47752,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1185]) ).
tcf(c_47753,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1184]) ).
tcf(c_47754,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1183]) ).
tcf(c_47755,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1182]) ).
tcf(c_47756,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1120]) ).
tcf(c_47757,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1119]) ).
tcf(c_47758,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1118]) ).
tcf(c_47759,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1117]) ).
tcf(c_47760,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1116]) ).
tcf(c_47761,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_1115]) ).
tcf(c_47762,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))) = smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_951]) ).
tcf(c_47763,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_47727,c_937]) ).
tcf(c_47764,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47727,c_69]) ).
tcf(c_47765,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_923]) ).
tcf(c_47766,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47727,c_68]) ).
tcf(c_47767,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47727,c_77]) ).
tcf(c_47768,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47727,c_71]) ).
tcf(c_47769,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47727,c_909]) ).
tcf(c_47770,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47727,c_76]) ).
tcf(c_47771,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47727,c_70]) ).
tcf(c_47772,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))),sdtpldt0(xq,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_74]) ).
tcf(c_47773,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),smndt0(sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_73]) ).
tcf(c_47774,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xb))) = sdtpldt0(xq,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_47727,c_63]) ).
tcf(c_47775,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xb)),sz00) = sdtpldt0(xq,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_47727,c_62]) ).
tcf(c_47776,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_61]) ).
tcf(c_47777,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_47727,c_60]) ).
tcf(c_47854,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xq,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_4593,c_78]) ).
tcf(c_47855,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_47854,c_53,c_2091]) ).
tcf(c_47856,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_5998]) ).
tcf(c_47857,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47855,c_5844]) ).
tcf(c_47858,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_4849]) ).
tcf(c_47859,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_4744]) ).
tcf(c_47860,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_4587]) ).
tcf(c_47861,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_4303]) ).
tcf(c_47862,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_3754]) ).
tcf(c_47863,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_3178]) ).
tcf(c_47864,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_3124]) ).
tcf(c_47865,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_3080]) ).
tcf(c_47866,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_2851]) ).
tcf(c_47867,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_2623]) ).
tcf(c_47868,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_2294]) ).
tcf(c_47869,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_1883]) ).
tcf(c_47870,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_1835]) ).
tcf(c_47871,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_47855,c_1774]) ).
tcf(c_47872,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_5023]) ).
tcf(c_47873,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47855,c_4917]) ).
tcf(c_47874,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_1038]) ).
tcf(c_47875,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_1004]) ).
tcf(c_47876,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_1582]) ).
tcf(c_47877,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47855,c_1264]) ).
tcf(c_47878,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1187]) ).
tcf(c_47879,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1186]) ).
tcf(c_47880,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1185]) ).
tcf(c_47881,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1184]) ).
tcf(c_47882,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1183]) ).
tcf(c_47883,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1182]) ).
tcf(c_47884,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1120]) ).
tcf(c_47885,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1119]) ).
tcf(c_47886,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1118]) ).
tcf(c_47887,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1117]) ).
tcf(c_47888,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1116]) ).
tcf(c_47889,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_1115]) ).
tcf(c_47890,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))) = smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_951]) ).
tcf(c_47891,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_47855,c_937]) ).
tcf(c_47892,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47855,c_69]) ).
tcf(c_47893,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_923]) ).
tcf(c_47894,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47855,c_68]) ).
tcf(c_47895,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47855,c_77]) ).
tcf(c_47896,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47855,c_71]) ).
tcf(c_47897,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47855,c_909]) ).
tcf(c_47898,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47855,c_76]) ).
tcf(c_47899,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47855,c_70]) ).
tcf(c_47900,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))),sdtpldt0(xq,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_74]) ).
tcf(c_47901,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),smndt0(sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_73]) ).
tcf(c_47902,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xa))) = sdtpldt0(xq,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_47855,c_63]) ).
tcf(c_47903,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xa)),sz00) = sdtpldt0(xq,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_47855,c_62]) ).
tcf(c_47904,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_61]) ).
tcf(c_47905,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_47855,c_60]) ).
tcf(c_47953,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_4589,c_78]) ).
tcf(c_47954,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_47953,c_53,c_1633]) ).
tcf(c_47955,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_5998]) ).
tcf(c_47956,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47954,c_5844]) ).
tcf(c_47957,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_4849]) ).
tcf(c_47958,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_4744]) ).
tcf(c_47959,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_4587]) ).
tcf(c_47960,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_4303]) ).
tcf(c_47961,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_3754]) ).
tcf(c_47962,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_3178]) ).
tcf(c_47963,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_3124]) ).
tcf(c_47964,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_3080]) ).
tcf(c_47965,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_2851]) ).
tcf(c_47966,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_2623]) ).
tcf(c_47967,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_2294]) ).
tcf(c_47968,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_1883]) ).
tcf(c_47969,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_1835]) ).
tcf(c_47970,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_47954,c_1774]) ).
tcf(c_47971,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_5023]) ).
tcf(c_47972,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47954,c_4917]) ).
tcf(c_47973,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_1038]) ).
tcf(c_47974,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_1004]) ).
tcf(c_47975,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_1582]) ).
tcf(c_47976,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47954,c_1264]) ).
tcf(c_47977,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1187]) ).
tcf(c_47978,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1186]) ).
tcf(c_47979,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1185]) ).
tcf(c_47980,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1184]) ).
tcf(c_47981,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1183]) ).
tcf(c_47982,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1182]) ).
tcf(c_47983,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1120]) ).
tcf(c_47984,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1119]) ).
tcf(c_47985,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1118]) ).
tcf(c_47986,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1117]) ).
tcf(c_47987,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1116]) ).
tcf(c_47988,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_1115]) ).
tcf(c_47989,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_951]) ).
tcf(c_47990,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_47954,c_937]) ).
tcf(c_47991,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47954,c_69]) ).
tcf(c_47992,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_923]) ).
tcf(c_47993,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47954,c_68]) ).
tcf(c_47994,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47954,c_77]) ).
tcf(c_47995,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47954,c_71]) ).
tcf(c_47996,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47954,c_909]) ).
tcf(c_47997,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47954,c_76]) ).
tcf(c_47998,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47954,c_70]) ).
tcf(c_47999,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_74]) ).
tcf(c_48000,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_73]) ).
tcf(c_48001,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))) = sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_47954,c_63]) ).
tcf(c_48002,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_47954,c_62]) ).
tcf(c_48003,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_61]) ).
tcf(c_48004,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_47954,c_60]) ).
tcf(c_48267,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xa,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_4594,c_78]) ).
tcf(c_48268,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_48267,c_53,c_2166]) ).
tcf(c_48269,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_5998]) ).
tcf(c_48270,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48268,c_5844]) ).
tcf(c_48271,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_4849]) ).
tcf(c_48272,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_4744]) ).
tcf(c_48273,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_4587]) ).
tcf(c_48274,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_4303]) ).
tcf(c_48275,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_3754]) ).
tcf(c_48276,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_3178]) ).
tcf(c_48277,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_3124]) ).
tcf(c_48278,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_3080]) ).
tcf(c_48279,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_2851]) ).
tcf(c_48280,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_2623]) ).
tcf(c_48281,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_2294]) ).
tcf(c_48282,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_1883]) ).
tcf(c_48283,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_1835]) ).
tcf(c_48284,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_48268,c_1774]) ).
tcf(c_48285,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_5023]) ).
tcf(c_48286,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48268,c_4917]) ).
tcf(c_48287,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_1038]) ).
tcf(c_48288,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_1004]) ).
tcf(c_48289,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_1582]) ).
tcf(c_48290,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48268,c_1264]) ).
tcf(c_48291,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1187]) ).
tcf(c_48292,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1186]) ).
tcf(c_48293,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1185]) ).
tcf(c_48294,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1184]) ).
tcf(c_48295,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1183]) ).
tcf(c_48296,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1182]) ).
tcf(c_48297,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1120]) ).
tcf(c_48298,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1119]) ).
tcf(c_48299,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1118]) ).
tcf(c_48300,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1117]) ).
tcf(c_48301,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1116]) ).
tcf(c_48302,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_1115]) ).
tcf(c_48303,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))) = smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_951]) ).
tcf(c_48304,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_48268,c_937]) ).
tcf(c_48305,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48268,c_69]) ).
tcf(c_48306,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_923]) ).
tcf(c_48307,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48268,c_68]) ).
tcf(c_48308,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48268,c_77]) ).
tcf(c_48309,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48268,c_71]) ).
tcf(c_48310,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48268,c_909]) ).
tcf(c_48311,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48268,c_76]) ).
tcf(c_48312,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48268,c_70]) ).
tcf(c_48313,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))),sdtpldt0(xq,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_74]) ).
tcf(c_48314,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),smndt0(sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_73]) ).
tcf(c_48315,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xm))) = sdtpldt0(xq,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_48268,c_63]) ).
tcf(c_48316,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,xm)),sz00) = sdtpldt0(xq,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_48268,c_62]) ).
tcf(c_48317,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_61]) ).
tcf(c_48318,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_48268,c_60]) ).
tcf(c_48392,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xp,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_4595,c_78]) ).
tcf(c_48393,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_48392,c_53,c_2315]) ).
tcf(c_48394,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_5998]) ).
tcf(c_48395,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48393,c_5844]) ).
tcf(c_48396,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_4849]) ).
tcf(c_48397,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_4744]) ).
tcf(c_48398,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_4587]) ).
tcf(c_48399,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_4303]) ).
tcf(c_48400,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_3754]) ).
tcf(c_48401,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_3178]) ).
tcf(c_48402,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_3124]) ).
tcf(c_48403,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_3080]) ).
tcf(c_48404,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_2851]) ).
tcf(c_48405,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_2623]) ).
tcf(c_48406,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_2294]) ).
tcf(c_48407,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_1883]) ).
tcf(c_48408,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_1835]) ).
tcf(c_48409,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_48393,c_1774]) ).
tcf(c_48410,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_5023]) ).
tcf(c_48411,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48393,c_4917]) ).
tcf(c_48412,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_1038]) ).
tcf(c_48413,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_1004]) ).
tcf(c_48414,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_1582]) ).
tcf(c_48415,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48393,c_1264]) ).
tcf(c_48416,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1187]) ).
tcf(c_48417,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1186]) ).
tcf(c_48418,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1185]) ).
tcf(c_48419,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1184]) ).
tcf(c_48420,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1183]) ).
tcf(c_48421,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1182]) ).
tcf(c_48422,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1120]) ).
tcf(c_48423,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1119]) ).
tcf(c_48424,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1118]) ).
tcf(c_48425,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1117]) ).
tcf(c_48426,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1116]) ).
tcf(c_48427,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_1115]) ).
tcf(c_48428,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_951]) ).
tcf(c_48429,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_48393,c_937]) ).
tcf(c_48430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48393,c_69]) ).
tcf(c_48431,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_923]) ).
tcf(c_48432,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48393,c_68]) ).
tcf(c_48433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48393,c_77]) ).
tcf(c_48434,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48393,c_71]) ).
tcf(c_48435,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48393,c_909]) ).
tcf(c_48436,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48393,c_76]) ).
tcf(c_48437,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48393,c_70]) ).
tcf(c_48438,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))),sdtpldt0(xq,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_74]) ).
tcf(c_48439,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),smndt0(sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_73]) ).
tcf(c_48440,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xb))) = sdtpldt0(xq,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_48393,c_63]) ).
tcf(c_48441,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xb)),sz00) = sdtpldt0(xq,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_48393,c_62]) ).
tcf(c_48442,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_61]) ).
tcf(c_48443,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_48393,c_60]) ).
tcf(c_48519,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xq,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_4596,c_78]) ).
tcf(c_48520,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_48519,c_53,c_2420]) ).
tcf(c_48521,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_5998]) ).
tcf(c_48522,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48520,c_5844]) ).
tcf(c_48523,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_4849]) ).
tcf(c_48524,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_4744]) ).
tcf(c_48525,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_4587]) ).
tcf(c_48526,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_4303]) ).
tcf(c_48527,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_3754]) ).
tcf(c_48528,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_3178]) ).
tcf(c_48529,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_3124]) ).
tcf(c_48530,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_3080]) ).
tcf(c_48531,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_2851]) ).
tcf(c_48532,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_2623]) ).
tcf(c_48533,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_2294]) ).
tcf(c_48534,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_1883]) ).
tcf(c_48535,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_1835]) ).
tcf(c_48536,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_48520,c_1774]) ).
tcf(c_48537,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_5023]) ).
tcf(c_48538,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48520,c_4917]) ).
tcf(c_48539,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_1038]) ).
tcf(c_48540,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_1004]) ).
tcf(c_48541,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_1582]) ).
tcf(c_48542,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48520,c_1264]) ).
tcf(c_48543,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1187]) ).
tcf(c_48544,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1186]) ).
tcf(c_48545,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1185]) ).
tcf(c_48546,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1184]) ).
tcf(c_48547,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1183]) ).
tcf(c_48548,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1182]) ).
tcf(c_48549,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1120]) ).
tcf(c_48550,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1119]) ).
tcf(c_48551,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1118]) ).
tcf(c_48552,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1117]) ).
tcf(c_48553,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1116]) ).
tcf(c_48554,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_1115]) ).
tcf(c_48555,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))) = smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_951]) ).
tcf(c_48556,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_48520,c_937]) ).
tcf(c_48557,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48520,c_69]) ).
tcf(c_48558,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_923]) ).
tcf(c_48559,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48520,c_68]) ).
tcf(c_48560,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48520,c_77]) ).
tcf(c_48561,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48520,c_71]) ).
tcf(c_48562,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48520,c_909]) ).
tcf(c_48563,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48520,c_76]) ).
tcf(c_48564,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48520,c_70]) ).
tcf(c_48565,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))),sdtpldt0(xq,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_74]) ).
tcf(c_48566,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),smndt0(sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_73]) ).
tcf(c_48567,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xb))) = sdtpldt0(xq,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_48520,c_63]) ).
tcf(c_48568,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xb)),sz00) = sdtpldt0(xq,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_48520,c_62]) ).
tcf(c_48569,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_61]) ).
tcf(c_48570,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_48520,c_60]) ).
tcf(c_48833,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xb,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4597,c_78]) ).
tcf(c_48834,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_48833,c_53,c_2484]) ).
tcf(c_48835,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_5998]) ).
tcf(c_48836,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48834,c_5844]) ).
tcf(c_48837,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_4849]) ).
tcf(c_48838,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_4744]) ).
tcf(c_48839,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_4587]) ).
tcf(c_48840,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_4303]) ).
tcf(c_48841,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_3754]) ).
tcf(c_48842,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_3178]) ).
tcf(c_48843,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_3124]) ).
tcf(c_48844,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_3080]) ).
tcf(c_48845,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_2851]) ).
tcf(c_48846,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_2623]) ).
tcf(c_48847,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_2294]) ).
tcf(c_48848,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_1883]) ).
tcf(c_48849,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_1835]) ).
tcf(c_48850,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_48834,c_1774]) ).
tcf(c_48851,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_5023]) ).
tcf(c_48852,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48834,c_4917]) ).
tcf(c_48853,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_1038]) ).
tcf(c_48854,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_1004]) ).
tcf(c_48855,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_1582]) ).
tcf(c_48856,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48834,c_1264]) ).
tcf(c_48857,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1187]) ).
tcf(c_48858,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1186]) ).
tcf(c_48859,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1185]) ).
tcf(c_48860,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1184]) ).
tcf(c_48861,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1183]) ).
tcf(c_48862,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1182]) ).
tcf(c_48863,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1120]) ).
tcf(c_48864,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1119]) ).
tcf(c_48865,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1118]) ).
tcf(c_48866,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1117]) ).
tcf(c_48867,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1116]) ).
tcf(c_48868,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_1115]) ).
tcf(c_48869,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))) = smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_951]) ).
tcf(c_48870,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_48834,c_937]) ).
tcf(c_48871,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48834,c_69]) ).
tcf(c_48872,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_923]) ).
tcf(c_48873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48834,c_68]) ).
tcf(c_48874,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48834,c_77]) ).
tcf(c_48875,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48834,c_71]) ).
tcf(c_48876,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48834,c_909]) ).
tcf(c_48877,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48834,c_76]) ).
tcf(c_48878,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48834,c_70]) ).
tcf(c_48879,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))),sdtpldt0(xq,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_74]) ).
tcf(c_48880,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),smndt0(sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_73]) ).
tcf(c_48881,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xb,xm))) = sdtpldt0(xq,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_48834,c_63]) ).
tcf(c_48882,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xb,xm)),sz00) = sdtpldt0(xq,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_48834,c_62]) ).
tcf(c_48883,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_61]) ).
tcf(c_48884,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_48834,c_60]) ).
tcf(c_48936,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xp,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4599,c_78]) ).
tcf(c_48937,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_48936,c_53,c_2753]) ).
tcf(c_48938,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_5998]) ).
tcf(c_48939,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48937,c_5844]) ).
tcf(c_48940,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_4849]) ).
tcf(c_48941,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_4744]) ).
tcf(c_48942,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_4587]) ).
tcf(c_48943,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_4303]) ).
tcf(c_48944,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_3754]) ).
tcf(c_48945,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_3178]) ).
tcf(c_48946,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_3124]) ).
tcf(c_48947,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_3080]) ).
tcf(c_48948,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_2851]) ).
tcf(c_48949,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_2623]) ).
tcf(c_48950,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_2294]) ).
tcf(c_48951,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_1883]) ).
tcf(c_48952,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_1835]) ).
tcf(c_48953,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_48937,c_1774]) ).
tcf(c_48954,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_5023]) ).
tcf(c_48955,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48937,c_4917]) ).
tcf(c_48956,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_1038]) ).
tcf(c_48957,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_1004]) ).
tcf(c_48958,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_1582]) ).
tcf(c_48959,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48937,c_1264]) ).
tcf(c_48960,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1187]) ).
tcf(c_48961,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1186]) ).
tcf(c_48962,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1185]) ).
tcf(c_48963,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1184]) ).
tcf(c_48964,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1183]) ).
tcf(c_48965,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1182]) ).
tcf(c_48966,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1120]) ).
tcf(c_48967,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1119]) ).
tcf(c_48968,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1118]) ).
tcf(c_48969,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1117]) ).
tcf(c_48970,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1116]) ).
tcf(c_48971,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_1115]) ).
tcf(c_48972,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_951]) ).
tcf(c_48973,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_48937,c_937]) ).
tcf(c_48974,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48937,c_69]) ).
tcf(c_48975,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_923]) ).
tcf(c_48976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48937,c_68]) ).
tcf(c_48977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48937,c_77]) ).
tcf(c_48978,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48937,c_71]) ).
tcf(c_48979,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_48937,c_909]) ).
tcf(c_48980,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48937,c_76]) ).
tcf(c_48981,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48937,c_70]) ).
tcf(c_48982,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))),sdtpldt0(xq,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_74]) ).
tcf(c_48983,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),smndt0(sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_73]) ).
tcf(c_48984,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xm))) = sdtpldt0(xq,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_48937,c_63]) ).
tcf(c_48985,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xm)),sz00) = sdtpldt0(xq,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_48937,c_62]) ).
tcf(c_48986,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_61]) ).
tcf(c_48987,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_48937,c_60]) ).
tcf(c_49055,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_4598,c_78]) ).
tcf(c_49056,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_49055,c_53,c_3596]) ).
tcf(c_49057,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_5998]) ).
tcf(c_49058,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49056,c_5844]) ).
tcf(c_49059,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_4849]) ).
tcf(c_49060,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_4744]) ).
tcf(c_49061,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_4587]) ).
tcf(c_49062,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_4303]) ).
tcf(c_49063,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_3754]) ).
tcf(c_49064,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_3178]) ).
tcf(c_49065,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_3124]) ).
tcf(c_49066,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_3080]) ).
tcf(c_49067,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_2851]) ).
tcf(c_49068,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_2623]) ).
tcf(c_49069,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_2294]) ).
tcf(c_49070,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_1883]) ).
tcf(c_49071,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_1835]) ).
tcf(c_49072,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_49056,c_1774]) ).
tcf(c_49073,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_5023]) ).
tcf(c_49074,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49056,c_4917]) ).
tcf(c_49075,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_1038]) ).
tcf(c_49076,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_1004]) ).
tcf(c_49077,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_1582]) ).
tcf(c_49078,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49056,c_1264]) ).
tcf(c_49079,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1187]) ).
tcf(c_49080,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1186]) ).
tcf(c_49081,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1185]) ).
tcf(c_49082,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1184]) ).
tcf(c_49083,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1183]) ).
tcf(c_49084,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1182]) ).
tcf(c_49085,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1120]) ).
tcf(c_49086,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1119]) ).
tcf(c_49087,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1118]) ).
tcf(c_49088,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1117]) ).
tcf(c_49089,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1116]) ).
tcf(c_49090,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_1115]) ).
tcf(c_49091,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_951]) ).
tcf(c_49092,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_49056,c_937]) ).
tcf(c_49093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49056,c_69]) ).
tcf(c_49094,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_923]) ).
tcf(c_49095,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49056,c_68]) ).
tcf(c_49096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49056,c_77]) ).
tcf(c_49097,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49056,c_71]) ).
tcf(c_49098,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49056,c_909]) ).
tcf(c_49099,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49056,c_76]) ).
tcf(c_49100,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49056,c_70]) ).
tcf(c_49101,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_74]) ).
tcf(c_49102,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_73]) ).
tcf(c_49103,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_49056,c_63]) ).
tcf(c_49104,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_49056,c_62]) ).
tcf(c_49105,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_61]) ).
tcf(c_49106,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49056,c_60]) ).
tcf(c_49335,plain,
( ( sdtasdt0(sz00,sdtpldt0(xa,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_16872]) ).
tcf(c_49336,plain,
sdtasdt0(sz00,sdtpldt0(xa,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49335,c_51]) ).
tcf(c_49343,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xq,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4600,c_78]) ).
tcf(c_49344,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_49343,c_53,c_2918]) ).
tcf(c_49345,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_5998]) ).
tcf(c_49346,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49344,c_5844]) ).
tcf(c_49347,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_4849]) ).
tcf(c_49348,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_4744]) ).
tcf(c_49349,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_4587]) ).
tcf(c_49350,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_4303]) ).
tcf(c_49351,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_3754]) ).
tcf(c_49352,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_3178]) ).
tcf(c_49353,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_3124]) ).
tcf(c_49354,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_3080]) ).
tcf(c_49355,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_2851]) ).
tcf(c_49356,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_2623]) ).
tcf(c_49357,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_2294]) ).
tcf(c_49358,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_1883]) ).
tcf(c_49359,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_1835]) ).
tcf(c_49360,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_49344,c_1774]) ).
tcf(c_49361,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_5023]) ).
tcf(c_49362,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49344,c_4917]) ).
tcf(c_49363,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_1038]) ).
tcf(c_49364,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_1004]) ).
tcf(c_49365,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_1582]) ).
tcf(c_49366,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49344,c_1264]) ).
tcf(c_49367,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1187]) ).
tcf(c_49368,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1186]) ).
tcf(c_49369,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1185]) ).
tcf(c_49370,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1184]) ).
tcf(c_49371,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1183]) ).
tcf(c_49372,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1182]) ).
tcf(c_49373,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1120]) ).
tcf(c_49374,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1119]) ).
tcf(c_49375,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1118]) ).
tcf(c_49376,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1117]) ).
tcf(c_49377,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1116]) ).
tcf(c_49378,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_1115]) ).
tcf(c_49379,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))) = smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_951]) ).
tcf(c_49380,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_49344,c_937]) ).
tcf(c_49381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49344,c_69]) ).
tcf(c_49382,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_923]) ).
tcf(c_49383,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49344,c_68]) ).
tcf(c_49384,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49344,c_77]) ).
tcf(c_49385,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49344,c_71]) ).
tcf(c_49386,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49344,c_909]) ).
tcf(c_49387,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49344,c_76]) ).
tcf(c_49388,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49344,c_70]) ).
tcf(c_49389,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))),sdtpldt0(xq,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_74]) ).
tcf(c_49390,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),smndt0(sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_73]) ).
tcf(c_49391,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xm))) = sdtpldt0(xq,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_49344,c_63]) ).
tcf(c_49392,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xm)),sz00) = sdtpldt0(xq,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_49344,c_62]) ).
tcf(c_49393,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_61]) ).
tcf(c_49394,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49344,c_60]) ).
tcf(c_49469,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xa,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_4601,c_78]) ).
tcf(c_49470,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_49469,c_53,c_3219]) ).
tcf(c_49471,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_5998]) ).
tcf(c_49472,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49470,c_5844]) ).
tcf(c_49473,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_4849]) ).
tcf(c_49474,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_4744]) ).
tcf(c_49475,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_4587]) ).
tcf(c_49476,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_4303]) ).
tcf(c_49477,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_3754]) ).
tcf(c_49478,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_3178]) ).
tcf(c_49479,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_3124]) ).
tcf(c_49480,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_3080]) ).
tcf(c_49481,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_2851]) ).
tcf(c_49482,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_2623]) ).
tcf(c_49483,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_2294]) ).
tcf(c_49484,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_1883]) ).
tcf(c_49485,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_1835]) ).
tcf(c_49486,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_49470,c_1774]) ).
tcf(c_49487,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_5023]) ).
tcf(c_49488,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49470,c_4917]) ).
tcf(c_49489,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_1038]) ).
tcf(c_49490,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_1004]) ).
tcf(c_49491,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_1582]) ).
tcf(c_49492,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49470,c_1264]) ).
tcf(c_49493,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1187]) ).
tcf(c_49494,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1186]) ).
tcf(c_49495,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1185]) ).
tcf(c_49496,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1184]) ).
tcf(c_49497,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1183]) ).
tcf(c_49498,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1182]) ).
tcf(c_49499,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1120]) ).
tcf(c_49500,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1119]) ).
tcf(c_49501,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1118]) ).
tcf(c_49502,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1117]) ).
tcf(c_49503,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1116]) ).
tcf(c_49504,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_1115]) ).
tcf(c_49505,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))) = smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_951]) ).
tcf(c_49506,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_49470,c_937]) ).
tcf(c_49507,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49470,c_69]) ).
tcf(c_49508,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_923]) ).
tcf(c_49509,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49470,c_68]) ).
tcf(c_49510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49470,c_77]) ).
tcf(c_49511,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49470,c_71]) ).
tcf(c_49512,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49470,c_909]) ).
tcf(c_49513,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49470,c_76]) ).
tcf(c_49514,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49470,c_70]) ).
tcf(c_49515,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))),sdtpldt0(xq,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_74]) ).
tcf(c_49516,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),smndt0(sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_73]) ).
tcf(c_49517,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xb))) = sdtpldt0(xq,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_49470,c_63]) ).
tcf(c_49518,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xb)),sz00) = sdtpldt0(xq,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_49470,c_62]) ).
tcf(c_49519,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_61]) ).
tcf(c_49520,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49470,c_60]) ).
tcf(c_49566,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xp,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_4602,c_78]) ).
tcf(c_49567,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_49566,c_53,c_3339]) ).
tcf(c_49568,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_5998]) ).
tcf(c_49569,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49567,c_5844]) ).
tcf(c_49570,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_4849]) ).
tcf(c_49571,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_4744]) ).
tcf(c_49572,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_4587]) ).
tcf(c_49573,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_4303]) ).
tcf(c_49574,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_3754]) ).
tcf(c_49575,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_3178]) ).
tcf(c_49576,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_3124]) ).
tcf(c_49577,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_3080]) ).
tcf(c_49578,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_2851]) ).
tcf(c_49579,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_2623]) ).
tcf(c_49580,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_2294]) ).
tcf(c_49581,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_1883]) ).
tcf(c_49582,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_1835]) ).
tcf(c_49583,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_49567,c_1774]) ).
tcf(c_49584,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_5023]) ).
tcf(c_49585,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49567,c_4917]) ).
tcf(c_49586,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_1038]) ).
tcf(c_49587,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_1004]) ).
tcf(c_49588,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_1582]) ).
tcf(c_49589,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49567,c_1264]) ).
tcf(c_49590,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1187]) ).
tcf(c_49591,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1186]) ).
tcf(c_49592,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1185]) ).
tcf(c_49593,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1184]) ).
tcf(c_49594,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1183]) ).
tcf(c_49595,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1182]) ).
tcf(c_49596,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1120]) ).
tcf(c_49597,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1119]) ).
tcf(c_49598,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1118]) ).
tcf(c_49599,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1117]) ).
tcf(c_49600,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1116]) ).
tcf(c_49601,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_1115]) ).
tcf(c_49602,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_951]) ).
tcf(c_49603,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_49567,c_937]) ).
tcf(c_49604,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49567,c_69]) ).
tcf(c_49605,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_923]) ).
tcf(c_49606,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49567,c_68]) ).
tcf(c_49607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49567,c_77]) ).
tcf(c_49608,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49567,c_71]) ).
tcf(c_49609,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49567,c_909]) ).
tcf(c_49610,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49567,c_76]) ).
tcf(c_49611,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49567,c_70]) ).
tcf(c_49612,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))),sdtpldt0(xq,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_74]) ).
tcf(c_49613,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),smndt0(sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_73]) ).
tcf(c_49614,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xa))) = sdtpldt0(xq,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_49567,c_63]) ).
tcf(c_49615,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xa)),sz00) = sdtpldt0(xq,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_49567,c_62]) ).
tcf(c_49616,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_61]) ).
tcf(c_49617,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49567,c_60]) ).
tcf(c_49855,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xq,xa)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_4603,c_78]) ).
tcf(c_49856,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_49855,c_53,c_3448]) ).
tcf(c_49857,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_5998]) ).
tcf(c_49858,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49856,c_5844]) ).
tcf(c_49859,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_4849]) ).
tcf(c_49860,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_4744]) ).
tcf(c_49861,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_4587]) ).
tcf(c_49862,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_4303]) ).
tcf(c_49863,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_3754]) ).
tcf(c_49864,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_3178]) ).
tcf(c_49865,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_3124]) ).
tcf(c_49866,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_3080]) ).
tcf(c_49867,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_2851]) ).
tcf(c_49868,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_2623]) ).
tcf(c_49869,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_2294]) ).
tcf(c_49870,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_1883]) ).
tcf(c_49871,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_1835]) ).
tcf(c_49872,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_49856,c_1774]) ).
tcf(c_49873,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_5023]) ).
tcf(c_49874,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49856,c_4917]) ).
tcf(c_49875,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_1038]) ).
tcf(c_49876,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_1004]) ).
tcf(c_49877,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_1582]) ).
tcf(c_49878,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49856,c_1264]) ).
tcf(c_49879,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1187]) ).
tcf(c_49880,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1186]) ).
tcf(c_49881,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1185]) ).
tcf(c_49882,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1184]) ).
tcf(c_49883,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1183]) ).
tcf(c_49884,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1182]) ).
tcf(c_49885,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1120]) ).
tcf(c_49886,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1119]) ).
tcf(c_49887,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1118]) ).
tcf(c_49888,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1117]) ).
tcf(c_49889,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1116]) ).
tcf(c_49890,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_1115]) ).
tcf(c_49891,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))) = smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_951]) ).
tcf(c_49892,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_49856,c_937]) ).
tcf(c_49893,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49856,c_69]) ).
tcf(c_49894,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_923]) ).
tcf(c_49895,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49856,c_68]) ).
tcf(c_49896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49856,c_77]) ).
tcf(c_49897,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49856,c_71]) ).
tcf(c_49898,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49856,c_909]) ).
tcf(c_49899,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49856,c_76]) ).
tcf(c_49900,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49856,c_70]) ).
tcf(c_49901,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))),sdtpldt0(xq,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_74]) ).
tcf(c_49902,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),smndt0(sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_73]) ).
tcf(c_49903,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xa))) = sdtpldt0(xq,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_49856,c_63]) ).
tcf(c_49904,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xa)),sz00) = sdtpldt0(xq,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_49856,c_62]) ).
tcf(c_49905,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_61]) ).
tcf(c_49906,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49856,c_60]) ).
tcf(c_49981,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xa,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_4604,c_78]) ).
tcf(c_49982,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_49981,c_53,c_3508]) ).
tcf(c_49983,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_5998]) ).
tcf(c_49984,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49982,c_5844]) ).
tcf(c_49985,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_4849]) ).
tcf(c_49986,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_4744]) ).
tcf(c_49987,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_4587]) ).
tcf(c_49988,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_4303]) ).
tcf(c_49989,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_3754]) ).
tcf(c_49990,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_3178]) ).
tcf(c_49991,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_3124]) ).
tcf(c_49992,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_3080]) ).
tcf(c_49993,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_2851]) ).
tcf(c_49994,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_2623]) ).
tcf(c_49995,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_2294]) ).
tcf(c_49996,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_1883]) ).
tcf(c_49997,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_1835]) ).
tcf(c_49998,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_49982,c_1774]) ).
tcf(c_49999,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_5023]) ).
tcf(c_50000,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49982,c_4917]) ).
tcf(c_50001,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_1038]) ).
tcf(c_50002,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_1004]) ).
tcf(c_50003,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_1582]) ).
tcf(c_50004,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49982,c_1264]) ).
tcf(c_50005,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1187]) ).
tcf(c_50006,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1186]) ).
tcf(c_50007,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1185]) ).
tcf(c_50008,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1184]) ).
tcf(c_50009,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1183]) ).
tcf(c_50010,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1182]) ).
tcf(c_50011,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1120]) ).
tcf(c_50012,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1119]) ).
tcf(c_50013,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1118]) ).
tcf(c_50014,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1117]) ).
tcf(c_50015,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1116]) ).
tcf(c_50016,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_1115]) ).
tcf(c_50017,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))) = smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_951]) ).
tcf(c_50018,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_49982,c_937]) ).
tcf(c_50019,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49982,c_69]) ).
tcf(c_50020,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_923]) ).
tcf(c_50021,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49982,c_68]) ).
tcf(c_50022,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49982,c_77]) ).
tcf(c_50023,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49982,c_71]) ).
tcf(c_50024,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_49982,c_909]) ).
tcf(c_50025,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49982,c_76]) ).
tcf(c_50026,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49982,c_70]) ).
tcf(c_50027,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))),sdtpldt0(xq,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_74]) ).
tcf(c_50028,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),smndt0(sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_73]) ).
tcf(c_50029,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xm))) = sdtpldt0(xq,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_49982,c_63]) ).
tcf(c_50030,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xa,xm)),sz00) = sdtpldt0(xq,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_49982,c_62]) ).
tcf(c_50031,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_61]) ).
tcf(c_50032,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49982,c_60]) ).
tcf(c_50076,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xp,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_4605,c_78]) ).
tcf(c_50077,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_50076,c_53,c_3799]) ).
tcf(c_50078,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_5998]) ).
tcf(c_50079,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50077,c_5844]) ).
tcf(c_50080,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_4849]) ).
tcf(c_50081,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_4744]) ).
tcf(c_50082,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_4587]) ).
tcf(c_50083,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_4303]) ).
tcf(c_50084,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_3754]) ).
tcf(c_50085,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_3178]) ).
tcf(c_50086,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_3124]) ).
tcf(c_50087,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_3080]) ).
tcf(c_50088,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_2851]) ).
tcf(c_50089,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_2623]) ).
tcf(c_50090,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_2294]) ).
tcf(c_50091,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_1883]) ).
tcf(c_50092,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_1835]) ).
tcf(c_50093,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_50077,c_1774]) ).
tcf(c_50094,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_5023]) ).
tcf(c_50095,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50077,c_4917]) ).
tcf(c_50096,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_1038]) ).
tcf(c_50097,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_1004]) ).
tcf(c_50098,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_1582]) ).
tcf(c_50099,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50077,c_1264]) ).
tcf(c_50100,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1187]) ).
tcf(c_50101,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1186]) ).
tcf(c_50102,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1185]) ).
tcf(c_50103,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1184]) ).
tcf(c_50104,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1183]) ).
tcf(c_50105,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1182]) ).
tcf(c_50106,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1120]) ).
tcf(c_50107,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1119]) ).
tcf(c_50108,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1118]) ).
tcf(c_50109,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1117]) ).
tcf(c_50110,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1116]) ).
tcf(c_50111,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_1115]) ).
tcf(c_50112,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_951]) ).
tcf(c_50113,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_50077,c_937]) ).
tcf(c_50114,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50077,c_69]) ).
tcf(c_50115,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_923]) ).
tcf(c_50116,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50077,c_68]) ).
tcf(c_50117,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50077,c_77]) ).
tcf(c_50118,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50077,c_71]) ).
tcf(c_50119,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50077,c_909]) ).
tcf(c_50120,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50077,c_76]) ).
tcf(c_50121,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50077,c_70]) ).
tcf(c_50122,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))),sdtpldt0(xq,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_74]) ).
tcf(c_50123,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),smndt0(sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_73]) ).
tcf(c_50124,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xb))) = sdtpldt0(xq,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_50077,c_63]) ).
tcf(c_50125,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xb)),sz00) = sdtpldt0(xq,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_50077,c_62]) ).
tcf(c_50126,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_61]) ).
tcf(c_50127,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50077,c_60]) ).
tcf(c_50463,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xq,xb)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_4606,c_78]) ).
tcf(c_50464,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_50463,c_53,c_3870]) ).
tcf(c_50465,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_5998]) ).
tcf(c_50466,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50464,c_5844]) ).
tcf(c_50467,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_4849]) ).
tcf(c_50468,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_4744]) ).
tcf(c_50469,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_4587]) ).
tcf(c_50470,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_4303]) ).
tcf(c_50471,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_3754]) ).
tcf(c_50472,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_3178]) ).
tcf(c_50473,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_3124]) ).
tcf(c_50474,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_3080]) ).
tcf(c_50475,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_2851]) ).
tcf(c_50476,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_2623]) ).
tcf(c_50477,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_2294]) ).
tcf(c_50478,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_1883]) ).
tcf(c_50479,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_1835]) ).
tcf(c_50480,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_50464,c_1774]) ).
tcf(c_50481,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_5023]) ).
tcf(c_50482,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50464,c_4917]) ).
tcf(c_50483,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_1038]) ).
tcf(c_50484,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_1004]) ).
tcf(c_50485,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_1582]) ).
tcf(c_50486,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50464,c_1264]) ).
tcf(c_50487,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1187]) ).
tcf(c_50488,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1186]) ).
tcf(c_50489,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1185]) ).
tcf(c_50490,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1184]) ).
tcf(c_50491,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1183]) ).
tcf(c_50492,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1182]) ).
tcf(c_50493,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1120]) ).
tcf(c_50494,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1119]) ).
tcf(c_50495,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1118]) ).
tcf(c_50496,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1117]) ).
tcf(c_50497,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1116]) ).
tcf(c_50498,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_1115]) ).
tcf(c_50499,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))) = smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_951]) ).
tcf(c_50500,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_50464,c_937]) ).
tcf(c_50501,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50464,c_69]) ).
tcf(c_50502,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_923]) ).
tcf(c_50503,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50464,c_68]) ).
tcf(c_50504,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50464,c_77]) ).
tcf(c_50505,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50464,c_71]) ).
tcf(c_50506,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50464,c_909]) ).
tcf(c_50507,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50464,c_76]) ).
tcf(c_50508,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50464,c_70]) ).
tcf(c_50509,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))),sdtpldt0(xq,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_74]) ).
tcf(c_50510,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),smndt0(sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_73]) ).
tcf(c_50511,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xb))) = sdtpldt0(xq,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_50464,c_63]) ).
tcf(c_50512,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xb)),sz00) = sdtpldt0(xq,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_50464,c_62]) ).
tcf(c_50513,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_61]) ).
tcf(c_50514,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50464,c_60]) ).
tcf(c_50589,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xb,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4607,c_78]) ).
tcf(c_50590,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_50589,c_53,c_4045]) ).
tcf(c_50591,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4608,c_78]) ).
tcf(c_50592,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_50591,c_53,c_4122]) ).
tcf(c_50593,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_5998]) ).
tcf(c_50594,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50590,c_5844]) ).
tcf(c_50595,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_4849]) ).
tcf(c_50596,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_4744]) ).
tcf(c_50597,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_4587]) ).
tcf(c_50598,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_4303]) ).
tcf(c_50599,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_3754]) ).
tcf(c_50600,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_3178]) ).
tcf(c_50601,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_3124]) ).
tcf(c_50602,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_3080]) ).
tcf(c_50603,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_2851]) ).
tcf(c_50604,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_2623]) ).
tcf(c_50605,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_2294]) ).
tcf(c_50606,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_1883]) ).
tcf(c_50607,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_1835]) ).
tcf(c_50608,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_50590,c_1774]) ).
tcf(c_50609,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_5023]) ).
tcf(c_50610,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50590,c_4917]) ).
tcf(c_50611,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_1038]) ).
tcf(c_50612,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_1004]) ).
tcf(c_50613,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_1582]) ).
tcf(c_50614,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50590,c_1264]) ).
tcf(c_50615,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1187]) ).
tcf(c_50616,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1186]) ).
tcf(c_50617,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1185]) ).
tcf(c_50618,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1184]) ).
tcf(c_50619,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1183]) ).
tcf(c_50620,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1182]) ).
tcf(c_50621,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1120]) ).
tcf(c_50622,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1119]) ).
tcf(c_50623,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1118]) ).
tcf(c_50624,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1117]) ).
tcf(c_50625,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1116]) ).
tcf(c_50626,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_1115]) ).
tcf(c_50627,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))) = smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_951]) ).
tcf(c_50628,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_50590,c_937]) ).
tcf(c_50629,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50590,c_69]) ).
tcf(c_50630,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_923]) ).
tcf(c_50631,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50590,c_68]) ).
tcf(c_50632,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50590,c_77]) ).
tcf(c_50633,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50590,c_71]) ).
tcf(c_50634,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50590,c_909]) ).
tcf(c_50635,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50590,c_76]) ).
tcf(c_50636,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50590,c_70]) ).
tcf(c_50637,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))),sdtpldt0(xq,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_74]) ).
tcf(c_50638,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),smndt0(sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_73]) ).
tcf(c_50639,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xb,xm))) = sdtpldt0(xq,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_50590,c_63]) ).
tcf(c_50640,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xb,xm)),sz00) = sdtpldt0(xq,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_50590,c_62]) ).
tcf(c_50641,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_61]) ).
tcf(c_50642,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50590,c_60]) ).
tcf(c_50686,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_5998]) ).
tcf(c_50687,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50592,c_5844]) ).
tcf(c_50688,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_4849]) ).
tcf(c_50689,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_4744]) ).
tcf(c_50690,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_4587]) ).
tcf(c_50691,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_4303]) ).
tcf(c_50692,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_3754]) ).
tcf(c_50693,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_3178]) ).
tcf(c_50694,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_3124]) ).
tcf(c_50695,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_3080]) ).
tcf(c_50696,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_2851]) ).
tcf(c_50697,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_2623]) ).
tcf(c_50698,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_2294]) ).
tcf(c_50699,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_1883]) ).
tcf(c_50700,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_1835]) ).
tcf(c_50701,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_50592,c_1774]) ).
tcf(c_50702,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_5023]) ).
tcf(c_50703,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50592,c_4917]) ).
tcf(c_50704,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_1038]) ).
tcf(c_50705,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_1004]) ).
tcf(c_50706,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_1582]) ).
tcf(c_50707,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50592,c_1264]) ).
tcf(c_50708,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1187]) ).
tcf(c_50709,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1186]) ).
tcf(c_50710,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1185]) ).
tcf(c_50711,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1184]) ).
tcf(c_50712,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1183]) ).
tcf(c_50713,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1182]) ).
tcf(c_50714,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1120]) ).
tcf(c_50715,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1119]) ).
tcf(c_50716,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1118]) ).
tcf(c_50717,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1117]) ).
tcf(c_50718,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1116]) ).
tcf(c_50719,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_1115]) ).
tcf(c_50720,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_951]) ).
tcf(c_50721,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_50592,c_937]) ).
tcf(c_50722,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50592,c_69]) ).
tcf(c_50723,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_923]) ).
tcf(c_50724,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50592,c_68]) ).
tcf(c_50725,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50592,c_77]) ).
tcf(c_50726,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50592,c_71]) ).
tcf(c_50727,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50592,c_909]) ).
tcf(c_50728,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50592,c_76]) ).
tcf(c_50729,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50592,c_70]) ).
tcf(c_50730,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_74]) ).
tcf(c_50731,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_73]) ).
tcf(c_50732,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_50592,c_63]) ).
tcf(c_50733,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_50592,c_62]) ).
tcf(c_50734,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_61]) ).
tcf(c_50735,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50592,c_60]) ).
tcf(c_50810,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xp,xq)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4609,c_78]) ).
tcf(c_50811,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_50810,c_53,c_4338]) ).
tcf(c_50812,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_5998]) ).
tcf(c_50813,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50811,c_5844]) ).
tcf(c_50814,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_4849]) ).
tcf(c_50815,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_4744]) ).
tcf(c_50816,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_4587]) ).
tcf(c_50817,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_4303]) ).
tcf(c_50818,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_3754]) ).
tcf(c_50819,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_3178]) ).
tcf(c_50820,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_3124]) ).
tcf(c_50821,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_3080]) ).
tcf(c_50822,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_2851]) ).
tcf(c_50823,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_2623]) ).
tcf(c_50824,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_2294]) ).
tcf(c_50825,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_1883]) ).
tcf(c_50826,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_1835]) ).
tcf(c_50827,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_50811,c_1774]) ).
tcf(c_50828,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_5023]) ).
tcf(c_50829,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50811,c_4917]) ).
tcf(c_50830,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_1038]) ).
tcf(c_50831,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_1004]) ).
tcf(c_50832,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_1582]) ).
tcf(c_50833,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50811,c_1264]) ).
tcf(c_50834,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1187]) ).
tcf(c_50835,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1186]) ).
tcf(c_50836,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1185]) ).
tcf(c_50837,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1184]) ).
tcf(c_50838,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1183]) ).
tcf(c_50839,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1182]) ).
tcf(c_50840,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1120]) ).
tcf(c_50841,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1119]) ).
tcf(c_50842,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1118]) ).
tcf(c_50843,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1117]) ).
tcf(c_50844,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1116]) ).
tcf(c_50845,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_1115]) ).
tcf(c_50846,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_951]) ).
tcf(c_50847,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_50811,c_937]) ).
tcf(c_50848,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50811,c_69]) ).
tcf(c_50849,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_923]) ).
tcf(c_50850,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50811,c_68]) ).
tcf(c_50851,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50811,c_77]) ).
tcf(c_50852,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50811,c_71]) ).
tcf(c_50853,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50811,c_909]) ).
tcf(c_50854,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50811,c_76]) ).
tcf(c_50855,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50811,c_70]) ).
tcf(c_50856,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))),sdtpldt0(xq,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_74]) ).
tcf(c_50857,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),smndt0(sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_73]) ).
tcf(c_50858,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xq))) = sdtpldt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_50811,c_63]) ).
tcf(c_50859,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xq)),sz00) = sdtpldt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_50811,c_62]) ).
tcf(c_50860,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_61]) ).
tcf(c_50861,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50811,c_60]) ).
tcf(c_50967,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xp,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4610,c_78]) ).
tcf(c_50968,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_50967,c_53,c_4414]) ).
tcf(c_50969,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_5998]) ).
tcf(c_50970,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50968,c_5844]) ).
tcf(c_50971,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_4849]) ).
tcf(c_50972,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_4744]) ).
tcf(c_50973,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_4587]) ).
tcf(c_50974,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_4303]) ).
tcf(c_50975,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_3754]) ).
tcf(c_50976,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_3178]) ).
tcf(c_50977,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_3124]) ).
tcf(c_50978,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_3080]) ).
tcf(c_50979,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_2851]) ).
tcf(c_50980,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_2623]) ).
tcf(c_50981,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_2294]) ).
tcf(c_50982,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_1883]) ).
tcf(c_50983,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_1835]) ).
tcf(c_50984,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_50968,c_1774]) ).
tcf(c_50985,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_5023]) ).
tcf(c_50986,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50968,c_4917]) ).
tcf(c_50987,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_1038]) ).
tcf(c_50988,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_1004]) ).
tcf(c_50989,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_1582]) ).
tcf(c_50990,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50968,c_1264]) ).
tcf(c_50991,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1187]) ).
tcf(c_50992,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1186]) ).
tcf(c_50993,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1185]) ).
tcf(c_50994,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1184]) ).
tcf(c_50995,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1183]) ).
tcf(c_50996,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1182]) ).
tcf(c_50997,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1120]) ).
tcf(c_50998,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1119]) ).
tcf(c_50999,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1118]) ).
tcf(c_51000,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1117]) ).
tcf(c_51001,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1116]) ).
tcf(c_51002,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_1115]) ).
tcf(c_51003,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_951]) ).
tcf(c_51004,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_50968,c_937]) ).
tcf(c_51005,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50968,c_69]) ).
tcf(c_51006,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_923]) ).
tcf(c_51007,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50968,c_68]) ).
tcf(c_51008,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50968,c_77]) ).
tcf(c_51009,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50968,c_71]) ).
tcf(c_51010,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_50968,c_909]) ).
tcf(c_51011,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50968,c_76]) ).
tcf(c_51012,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50968,c_70]) ).
tcf(c_51013,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))),sdtpldt0(xq,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_74]) ).
tcf(c_51014,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),smndt0(sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_73]) ).
tcf(c_51015,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xm))) = sdtpldt0(xq,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_50968,c_63]) ).
tcf(c_51016,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xm)),sz00) = sdtpldt0(xq,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_50968,c_62]) ).
tcf(c_51017,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_61]) ).
tcf(c_51018,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50968,c_60]) ).
tcf(c_51066,plain,
( aInteger0(sdtpldt0(xq,sdtpldt0(xq,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4658,c_78]) ).
tcf(c_51067,plain,
aInteger0(sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_51066,c_53,c_4657]) ).
tcf(c_51068,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_5998]) ).
tcf(c_51069,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51067,c_5844]) ).
tcf(c_51070,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_4849]) ).
tcf(c_51071,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_4744]) ).
tcf(c_51072,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_4587]) ).
tcf(c_51073,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_4303]) ).
tcf(c_51074,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_3754]) ).
tcf(c_51075,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_3178]) ).
tcf(c_51076,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_3124]) ).
tcf(c_51077,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_3080]) ).
tcf(c_51078,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_2851]) ).
tcf(c_51079,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_2623]) ).
tcf(c_51080,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_2294]) ).
tcf(c_51081,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_1883]) ).
tcf(c_51082,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_1835]) ).
tcf(c_51083,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51067,c_1774]) ).
tcf(c_51084,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_5023]) ).
tcf(c_51085,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51067,c_4917]) ).
tcf(c_51086,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_1038]) ).
tcf(c_51087,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_1004]) ).
tcf(c_51088,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_1582]) ).
tcf(c_51089,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51067,c_1264]) ).
tcf(c_51090,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1187]) ).
tcf(c_51091,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1186]) ).
tcf(c_51092,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1185]) ).
tcf(c_51093,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1184]) ).
tcf(c_51094,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1183]) ).
tcf(c_51095,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1182]) ).
tcf(c_51096,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1120]) ).
tcf(c_51097,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1119]) ).
tcf(c_51098,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1118]) ).
tcf(c_51099,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1117]) ).
tcf(c_51100,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1116]) ).
tcf(c_51101,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_1115]) ).
tcf(c_51102,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))) = smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_951]) ).
tcf(c_51103,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),sz00) = smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51067,c_937]) ).
tcf(c_51104,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51067,c_69]) ).
tcf(c_51105,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_923]) ).
tcf(c_51106,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51067,c_68]) ).
tcf(c_51107,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51067,c_77]) ).
tcf(c_51108,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51067,c_71]) ).
tcf(c_51109,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51067,c_909]) ).
tcf(c_51110,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51067,c_76]) ).
tcf(c_51111,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51067,c_70]) ).
tcf(c_51112,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))),sdtpldt0(xq,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_74]) ).
tcf(c_51113,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),smndt0(sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_73]) ).
tcf(c_51114,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xm))) = sdtpldt0(xq,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51067,c_63]) ).
tcf(c_51115,plain,
sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xm)),sz00) = sdtpldt0(xq,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51067,c_62]) ).
tcf(c_51116,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_61]) ).
tcf(c_51117,plain,
sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51067,c_60]) ).
tcf(c_51198,plain,
( aInteger0(sdtpldt0(xp,sdtpldt0(xq,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4659,c_78]) ).
tcf(c_51199,plain,
aInteger0(sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_51198,c_51,c_4657]) ).
tcf(c_51200,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_5998]) ).
tcf(c_51201,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51199,c_5844]) ).
tcf(c_51202,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_4849]) ).
tcf(c_51203,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_4744]) ).
tcf(c_51204,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_4587]) ).
tcf(c_51205,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_4303]) ).
tcf(c_51206,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_3754]) ).
tcf(c_51207,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_3178]) ).
tcf(c_51208,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_3124]) ).
tcf(c_51209,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_3080]) ).
tcf(c_51210,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_2851]) ).
tcf(c_51211,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_2623]) ).
tcf(c_51212,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_2294]) ).
tcf(c_51213,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_1883]) ).
tcf(c_51214,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_1835]) ).
tcf(c_51215,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51199,c_1774]) ).
tcf(c_51216,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_5023]) ).
tcf(c_51217,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51199,c_4917]) ).
tcf(c_51218,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_1038]) ).
tcf(c_51219,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_1004]) ).
tcf(c_51220,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_1582]) ).
tcf(c_51221,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51199,c_1264]) ).
tcf(c_51222,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1187]) ).
tcf(c_51223,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1186]) ).
tcf(c_51224,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1185]) ).
tcf(c_51225,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1184]) ).
tcf(c_51226,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1183]) ).
tcf(c_51227,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1182]) ).
tcf(c_51228,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1120]) ).
tcf(c_51229,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1119]) ).
tcf(c_51230,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1118]) ).
tcf(c_51231,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1117]) ).
tcf(c_51232,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1116]) ).
tcf(c_51233,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_1115]) ).
tcf(c_51234,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))) = smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_951]) ).
tcf(c_51235,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),sz00) = smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51199,c_937]) ).
tcf(c_51236,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51199,c_69]) ).
tcf(c_51237,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_923]) ).
tcf(c_51238,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51199,c_68]) ).
tcf(c_51239,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51199,c_77]) ).
tcf(c_51240,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51199,c_71]) ).
tcf(c_51241,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51199,c_909]) ).
tcf(c_51242,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51199,c_76]) ).
tcf(c_51243,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51199,c_70]) ).
tcf(c_51244,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))),sdtpldt0(xp,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_74]) ).
tcf(c_51245,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),smndt0(sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_73]) ).
tcf(c_51246,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xm))) = sdtpldt0(xp,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51199,c_63]) ).
tcf(c_51247,plain,
sdtpldt0(sdtpldt0(xp,sdtpldt0(xq,xm)),sz00) = sdtpldt0(xp,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51199,c_62]) ).
tcf(c_51248,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_61]) ).
tcf(c_51249,plain,
sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51199,c_60]) ).
tcf(c_51370,plain,
( aInteger0(sdtpldt0(xb,sdtpldt0(xq,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4660,c_78]) ).
tcf(c_51371,plain,
aInteger0(sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_51370,c_50,c_4657]) ).
tcf(c_51372,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_5998]) ).
tcf(c_51373,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51371,c_5844]) ).
tcf(c_51374,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_4849]) ).
tcf(c_51375,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_4744]) ).
tcf(c_51376,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_4587]) ).
tcf(c_51377,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_4303]) ).
tcf(c_51378,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_3754]) ).
tcf(c_51379,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_3178]) ).
tcf(c_51380,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_3124]) ).
tcf(c_51381,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_3080]) ).
tcf(c_51382,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_2851]) ).
tcf(c_51383,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_2623]) ).
tcf(c_51384,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_2294]) ).
tcf(c_51385,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_1883]) ).
tcf(c_51386,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_1835]) ).
tcf(c_51387,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51371,c_1774]) ).
tcf(c_51388,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_5023]) ).
tcf(c_51389,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51371,c_4917]) ).
tcf(c_51390,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_1038]) ).
tcf(c_51391,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_1004]) ).
tcf(c_51392,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_1582]) ).
tcf(c_51393,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51371,c_1264]) ).
tcf(c_51394,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1187]) ).
tcf(c_51395,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1186]) ).
tcf(c_51396,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1185]) ).
tcf(c_51397,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1184]) ).
tcf(c_51398,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1183]) ).
tcf(c_51399,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1182]) ).
tcf(c_51400,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1120]) ).
tcf(c_51401,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1119]) ).
tcf(c_51402,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1118]) ).
tcf(c_51403,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1117]) ).
tcf(c_51404,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1116]) ).
tcf(c_51405,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_1115]) ).
tcf(c_51406,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))) = smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_951]) ).
tcf(c_51407,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),sz00) = smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51371,c_937]) ).
tcf(c_51408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51371,c_69]) ).
tcf(c_51409,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_923]) ).
tcf(c_51410,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51371,c_68]) ).
tcf(c_51411,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51371,c_77]) ).
tcf(c_51412,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51371,c_71]) ).
tcf(c_51413,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51371,c_909]) ).
tcf(c_51414,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51371,c_76]) ).
tcf(c_51415,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51371,c_70]) ).
tcf(c_51416,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))),sdtpldt0(xb,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_74]) ).
tcf(c_51417,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),smndt0(sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_73]) ).
tcf(c_51418,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xm))) = sdtpldt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51371,c_63]) ).
tcf(c_51419,plain,
sdtpldt0(sdtpldt0(xb,sdtpldt0(xq,xm)),sz00) = sdtpldt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51371,c_62]) ).
tcf(c_51420,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_61]) ).
tcf(c_51421,plain,
sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51371,c_60]) ).
tcf(c_51488,plain,
( aInteger0(sdtpldt0(xa,sdtpldt0(xq,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4661,c_78]) ).
tcf(c_51489,plain,
aInteger0(sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_51488,c_49,c_4657]) ).
tcf(c_51490,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_5998]) ).
tcf(c_51491,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51489,c_5844]) ).
tcf(c_51492,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_4849]) ).
tcf(c_51493,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_4744]) ).
tcf(c_51494,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_4587]) ).
tcf(c_51495,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_4303]) ).
tcf(c_51496,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_3754]) ).
tcf(c_51497,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_3178]) ).
tcf(c_51498,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_3124]) ).
tcf(c_51499,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_3080]) ).
tcf(c_51500,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_2851]) ).
tcf(c_51501,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_2623]) ).
tcf(c_51502,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_2294]) ).
tcf(c_51503,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_1883]) ).
tcf(c_51504,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_1835]) ).
tcf(c_51505,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51489,c_1774]) ).
tcf(c_51506,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_5023]) ).
tcf(c_51507,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51489,c_4917]) ).
tcf(c_51508,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_1038]) ).
tcf(c_51509,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_1004]) ).
tcf(c_51510,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_1582]) ).
tcf(c_51511,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51489,c_1264]) ).
tcf(c_51512,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1187]) ).
tcf(c_51513,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1186]) ).
tcf(c_51514,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1185]) ).
tcf(c_51515,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1184]) ).
tcf(c_51516,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1183]) ).
tcf(c_51517,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1182]) ).
tcf(c_51518,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1120]) ).
tcf(c_51519,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1119]) ).
tcf(c_51520,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1118]) ).
tcf(c_51521,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1117]) ).
tcf(c_51522,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1116]) ).
tcf(c_51523,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_1115]) ).
tcf(c_51524,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))) = smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_951]) ).
tcf(c_51525,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),sz00) = smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51489,c_937]) ).
tcf(c_51526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51489,c_69]) ).
tcf(c_51527,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_923]) ).
tcf(c_51528,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51489,c_68]) ).
tcf(c_51529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51489,c_77]) ).
tcf(c_51530,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51489,c_71]) ).
tcf(c_51531,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51489,c_909]) ).
tcf(c_51532,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51489,c_76]) ).
tcf(c_51533,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51489,c_70]) ).
tcf(c_51534,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))),sdtpldt0(xa,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_74]) ).
tcf(c_51535,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),smndt0(sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_73]) ).
tcf(c_51536,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xm))) = sdtpldt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51489,c_63]) ).
tcf(c_51537,plain,
sdtpldt0(sdtpldt0(xa,sdtpldt0(xq,xm)),sz00) = sdtpldt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51489,c_62]) ).
tcf(c_51538,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_61]) ).
tcf(c_51539,plain,
sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51489,c_60]) ).
tcf(c_51600,plain,
( ( sz00 = xm )
| ( sdtpldt0(xq,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xm))
| ( sdtasdt0(xm,sdtpldt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4663,c_59]) ).
tcf(c_51601,plain,
( aInteger0(sdtasdt0(xm,sdtpldt0(xq,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4663,c_72]) ).
tcf(c_51602,plain,
aInteger0(sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_51601,c_56,c_4657]) ).
tcf(c_51603,plain,
( ( sz00 = xm )
| ( sdtpldt0(xq,xm) = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51600,c_56,c_4657]) ).
tcf(c_51607,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_5998]) ).
tcf(c_51608,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51602,c_5844]) ).
tcf(c_51609,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_4849]) ).
tcf(c_51610,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_4744]) ).
tcf(c_51611,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_4587]) ).
tcf(c_51612,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_4303]) ).
tcf(c_51613,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_3754]) ).
tcf(c_51614,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_3178]) ).
tcf(c_51615,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_3124]) ).
tcf(c_51616,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_3080]) ).
tcf(c_51617,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_2851]) ).
tcf(c_51618,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_2623]) ).
tcf(c_51619,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_2294]) ).
tcf(c_51620,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_1883]) ).
tcf(c_51621,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_1835]) ).
tcf(c_51622,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51602,c_1774]) ).
tcf(c_51623,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_5023]) ).
tcf(c_51624,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51602,c_4917]) ).
tcf(c_51625,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_1038]) ).
tcf(c_51626,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_1004]) ).
tcf(c_51627,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_1582]) ).
tcf(c_51628,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51602,c_1264]) ).
tcf(c_51629,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1187]) ).
tcf(c_51630,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1186]) ).
tcf(c_51631,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1185]) ).
tcf(c_51632,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1184]) ).
tcf(c_51633,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1183]) ).
tcf(c_51634,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1182]) ).
tcf(c_51635,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1120]) ).
tcf(c_51636,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1119]) ).
tcf(c_51637,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1118]) ).
tcf(c_51638,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1117]) ).
tcf(c_51639,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1116]) ).
tcf(c_51640,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_1115]) ).
tcf(c_51641,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))) = smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_951]) ).
tcf(c_51642,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),sz00) = smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51602,c_937]) ).
tcf(c_51643,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51602,c_69]) ).
tcf(c_51644,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_923]) ).
tcf(c_51645,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51602,c_68]) ).
tcf(c_51646,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51602,c_77]) ).
tcf(c_51647,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51602,c_71]) ).
tcf(c_51648,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51602,c_909]) ).
tcf(c_51649,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51602,c_76]) ).
tcf(c_51650,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51602,c_70]) ).
tcf(c_51651,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))),sdtasdt0(xm,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_74]) ).
tcf(c_51652,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),smndt0(sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_73]) ).
tcf(c_51653,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xm))) = sdtasdt0(xm,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51602,c_63]) ).
tcf(c_51654,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xq,xm)),sz00) = sdtasdt0(xm,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51602,c_62]) ).
tcf(c_51655,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_61]) ).
tcf(c_51656,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51602,c_60]) ).
tcf(c_51773,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,xm) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xm))
| ( sdtasdt0(xq,sdtpldt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4664,c_59]) ).
tcf(c_51774,plain,
( aInteger0(sdtasdt0(xq,sdtpldt0(xq,xm)))
| ~ aInteger0(xq)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4664,c_72]) ).
tcf(c_51775,plain,
aInteger0(sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_51774,c_53,c_4657]) ).
tcf(c_51776,plain,
( ( sdtpldt0(xq,xm) = sz00 )
| ( sdtasdt0(xq,sdtpldt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51773,c_54,c_53,c_4657]) ).
tcf(c_51779,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_5998]) ).
tcf(c_51780,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51775,c_5844]) ).
tcf(c_51781,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_4849]) ).
tcf(c_51782,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_4744]) ).
tcf(c_51783,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_4587]) ).
tcf(c_51784,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_4303]) ).
tcf(c_51785,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_3754]) ).
tcf(c_51786,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_3178]) ).
tcf(c_51787,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_3124]) ).
tcf(c_51788,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_3080]) ).
tcf(c_51789,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_2851]) ).
tcf(c_51790,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_2623]) ).
tcf(c_51791,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_2294]) ).
tcf(c_51792,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_1883]) ).
tcf(c_51793,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_1835]) ).
tcf(c_51794,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51775,c_1774]) ).
tcf(c_51795,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_5023]) ).
tcf(c_51796,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51775,c_4917]) ).
tcf(c_51797,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_1038]) ).
tcf(c_51798,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_1004]) ).
tcf(c_51799,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_1582]) ).
tcf(c_51800,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51775,c_1264]) ).
tcf(c_51801,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1187]) ).
tcf(c_51802,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1186]) ).
tcf(c_51803,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1185]) ).
tcf(c_51804,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1184]) ).
tcf(c_51805,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1183]) ).
tcf(c_51806,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1182]) ).
tcf(c_51807,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1120]) ).
tcf(c_51808,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1119]) ).
tcf(c_51809,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1118]) ).
tcf(c_51810,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1117]) ).
tcf(c_51811,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1116]) ).
tcf(c_51812,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_1115]) ).
tcf(c_51813,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))) = smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_951]) ).
tcf(c_51814,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),sz00) = smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51775,c_937]) ).
tcf(c_51815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51775,c_69]) ).
tcf(c_51816,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_923]) ).
tcf(c_51817,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51775,c_68]) ).
tcf(c_51818,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51775,c_77]) ).
tcf(c_51819,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51775,c_71]) ).
tcf(c_51820,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51775,c_909]) ).
tcf(c_51821,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51775,c_76]) ).
tcf(c_51822,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51775,c_70]) ).
tcf(c_51823,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))),sdtasdt0(xq,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_74]) ).
tcf(c_51824,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),smndt0(sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_73]) ).
tcf(c_51825,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xm))) = sdtasdt0(xq,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51775,c_63]) ).
tcf(c_51826,plain,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xq,xm)),sz00) = sdtasdt0(xq,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51775,c_62]) ).
tcf(c_51827,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_61]) ).
tcf(c_51828,plain,
sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51775,c_60]) ).
tcf(c_51959,plain,
( ( xp = sz00 )
| ( sdtpldt0(xq,xm) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xm))
| ( sdtasdt0(xp,sdtpldt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4665,c_59]) ).
tcf(c_51960,plain,
( aInteger0(sdtasdt0(xp,sdtpldt0(xq,xm)))
| ~ aInteger0(xp)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4665,c_72]) ).
tcf(c_51961,plain,
aInteger0(sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_51960,c_51,c_4657]) ).
tcf(c_51962,plain,
( ( sdtpldt0(xq,xm) = sz00 )
| ( sdtasdt0(xp,sdtpldt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51959,c_52,c_51,c_4657]) ).
tcf(c_51965,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_5998]) ).
tcf(c_51966,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51961,c_5844]) ).
tcf(c_51967,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_4849]) ).
tcf(c_51968,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_4744]) ).
tcf(c_51969,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_4587]) ).
tcf(c_51970,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_4303]) ).
tcf(c_51971,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_3754]) ).
tcf(c_51972,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_3178]) ).
tcf(c_51973,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_3124]) ).
tcf(c_51974,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_3080]) ).
tcf(c_51975,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_2851]) ).
tcf(c_51976,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_2623]) ).
tcf(c_51977,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_2294]) ).
tcf(c_51978,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_1883]) ).
tcf(c_51979,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_1835]) ).
tcf(c_51980,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_51961,c_1774]) ).
tcf(c_51981,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_5023]) ).
tcf(c_51982,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51961,c_4917]) ).
tcf(c_51983,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_1038]) ).
tcf(c_51984,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_1004]) ).
tcf(c_51985,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_1582]) ).
tcf(c_51986,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51961,c_1264]) ).
tcf(c_51987,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1187]) ).
tcf(c_51988,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1186]) ).
tcf(c_51989,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1185]) ).
tcf(c_51990,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1184]) ).
tcf(c_51991,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1183]) ).
tcf(c_51992,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1182]) ).
tcf(c_51993,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1120]) ).
tcf(c_51994,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1119]) ).
tcf(c_51995,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1118]) ).
tcf(c_51996,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1117]) ).
tcf(c_51997,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1116]) ).
tcf(c_51998,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_1115]) ).
tcf(c_51999,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))) = smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_951]) ).
tcf(c_52000,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),sz00) = smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_51961,c_937]) ).
tcf(c_52001,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51961,c_69]) ).
tcf(c_52002,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_923]) ).
tcf(c_52003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51961,c_68]) ).
tcf(c_52004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51961,c_77]) ).
tcf(c_52005,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51961,c_71]) ).
tcf(c_52006,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51961,c_909]) ).
tcf(c_52007,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51961,c_76]) ).
tcf(c_52008,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51961,c_70]) ).
tcf(c_52009,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))),sdtasdt0(xp,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_74]) ).
tcf(c_52010,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),smndt0(sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_73]) ).
tcf(c_52011,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xm))) = sdtasdt0(xp,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51961,c_63]) ).
tcf(c_52012,plain,
sdtpldt0(sdtasdt0(xp,sdtpldt0(xq,xm)),sz00) = sdtasdt0(xp,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_51961,c_62]) ).
tcf(c_52013,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_61]) ).
tcf(c_52014,plain,
sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51961,c_60]) ).
tcf(c_52146,plain,
( ( xb = sz00 )
| ( sdtpldt0(xq,xm) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xm))
| ( sdtasdt0(xb,sdtpldt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4666,c_59]) ).
tcf(c_52147,plain,
( aInteger0(sdtasdt0(xb,sdtpldt0(xq,xm)))
| ~ aInteger0(xb)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4666,c_72]) ).
tcf(c_52148,plain,
aInteger0(sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_52147,c_50,c_4657]) ).
tcf(c_52149,plain,
( ( xb = sz00 )
| ( sdtpldt0(xq,xm) = sz00 )
| ( sdtasdt0(xb,sdtpldt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52146,c_50,c_4657]) ).
tcf(c_52153,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_5998]) ).
tcf(c_52154,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52148,c_5844]) ).
tcf(c_52155,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_4849]) ).
tcf(c_52156,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_4744]) ).
tcf(c_52157,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_4587]) ).
tcf(c_52158,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_4303]) ).
tcf(c_52159,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_3754]) ).
tcf(c_52160,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_3178]) ).
tcf(c_52161,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_3124]) ).
tcf(c_52162,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_3080]) ).
tcf(c_52163,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_2851]) ).
tcf(c_52164,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_2623]) ).
tcf(c_52165,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_2294]) ).
tcf(c_52166,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_1883]) ).
tcf(c_52167,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_1835]) ).
tcf(c_52168,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52148,c_1774]) ).
tcf(c_52169,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_5023]) ).
tcf(c_52170,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52148,c_4917]) ).
tcf(c_52171,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_1038]) ).
tcf(c_52172,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_1004]) ).
tcf(c_52173,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_1582]) ).
tcf(c_52174,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52148,c_1264]) ).
tcf(c_52175,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1187]) ).
tcf(c_52176,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1186]) ).
tcf(c_52177,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1185]) ).
tcf(c_52178,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1184]) ).
tcf(c_52179,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1183]) ).
tcf(c_52180,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1182]) ).
tcf(c_52181,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1120]) ).
tcf(c_52182,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1119]) ).
tcf(c_52183,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1118]) ).
tcf(c_52184,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1117]) ).
tcf(c_52185,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1116]) ).
tcf(c_52186,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_1115]) ).
tcf(c_52187,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))) = smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_951]) ).
tcf(c_52188,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),sz00) = smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52148,c_937]) ).
tcf(c_52189,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52148,c_69]) ).
tcf(c_52190,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_923]) ).
tcf(c_52191,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52148,c_68]) ).
tcf(c_52192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52148,c_77]) ).
tcf(c_52193,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52148,c_71]) ).
tcf(c_52194,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52148,c_909]) ).
tcf(c_52195,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52148,c_76]) ).
tcf(c_52196,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52148,c_70]) ).
tcf(c_52197,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))),sdtasdt0(xb,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_74]) ).
tcf(c_52198,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),smndt0(sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_73]) ).
tcf(c_52199,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xm))) = sdtasdt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_52148,c_63]) ).
tcf(c_52200,plain,
sdtpldt0(sdtasdt0(xb,sdtpldt0(xq,xm)),sz00) = sdtasdt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_52148,c_62]) ).
tcf(c_52201,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_61]) ).
tcf(c_52202,plain,
sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52148,c_60]) ).
tcf(c_52273,plain,
( ( xa = sz00 )
| ( sdtpldt0(xq,xm) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xm))
| ( sdtasdt0(xa,sdtpldt0(xq,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4667,c_59]) ).
tcf(c_52274,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xq,xm)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4667,c_72]) ).
tcf(c_52275,plain,
aInteger0(sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_52274,c_49,c_4657]) ).
tcf(c_52276,plain,
( ( xa = sz00 )
| ( sdtpldt0(xq,xm) = sz00 )
| ( sdtasdt0(xa,sdtpldt0(xq,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52273,c_49,c_4657]) ).
tcf(c_52280,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_5998]) ).
tcf(c_52281,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52275,c_5844]) ).
tcf(c_52282,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_4849]) ).
tcf(c_52283,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_4744]) ).
tcf(c_52284,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_4587]) ).
tcf(c_52285,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_4303]) ).
tcf(c_52286,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_3754]) ).
tcf(c_52287,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_3178]) ).
tcf(c_52288,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_3124]) ).
tcf(c_52289,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_3080]) ).
tcf(c_52290,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_2851]) ).
tcf(c_52291,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_2623]) ).
tcf(c_52292,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_2294]) ).
tcf(c_52293,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_1883]) ).
tcf(c_52294,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_1835]) ).
tcf(c_52295,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_52275,c_1774]) ).
tcf(c_52296,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_5023]) ).
tcf(c_52297,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52275,c_4917]) ).
tcf(c_52298,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_1038]) ).
tcf(c_52299,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_1004]) ).
tcf(c_52300,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_1582]) ).
tcf(c_52301,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52275,c_1264]) ).
tcf(c_52302,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1187]) ).
tcf(c_52303,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1186]) ).
tcf(c_52304,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1185]) ).
tcf(c_52305,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1184]) ).
tcf(c_52306,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1183]) ).
tcf(c_52307,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1182]) ).
tcf(c_52308,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1120]) ).
tcf(c_52309,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1119]) ).
tcf(c_52310,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1118]) ).
tcf(c_52311,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1117]) ).
tcf(c_52312,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1116]) ).
tcf(c_52313,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_1115]) ).
tcf(c_52314,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))) = smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_951]) ).
tcf(c_52315,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),sz00) = smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_52275,c_937]) ).
tcf(c_52316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52275,c_69]) ).
tcf(c_52317,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_923]) ).
tcf(c_52318,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52275,c_68]) ).
tcf(c_52319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52275,c_77]) ).
tcf(c_52320,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52275,c_71]) ).
tcf(c_52321,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52275,c_909]) ).
tcf(c_52322,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52275,c_76]) ).
tcf(c_52323,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52275,c_70]) ).
tcf(c_52324,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))),sdtasdt0(xa,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_74]) ).
tcf(c_52325,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),smndt0(sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_73]) ).
tcf(c_52326,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xm))) = sdtasdt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_52275,c_63]) ).
tcf(c_52327,plain,
sdtpldt0(sdtasdt0(xa,sdtpldt0(xq,xm)),sz00) = sdtasdt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_52275,c_62]) ).
tcf(c_52328,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_61]) ).
tcf(c_52329,plain,
sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52275,c_60]) ).
tcf(c_52381,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_16873]) ).
tcf(c_52382,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_52381,c_51]) ).
tcf(c_52395,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xp,xq)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4747,c_78]) ).
tcf(c_52396,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_52395,c_56,c_2661]) ).
tcf(c_52397,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_5998]) ).
tcf(c_52398,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52396,c_5844]) ).
tcf(c_52399,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_4849]) ).
tcf(c_52400,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_4744]) ).
tcf(c_52401,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_4587]) ).
tcf(c_52402,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_4303]) ).
tcf(c_52403,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_3754]) ).
tcf(c_52404,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_3178]) ).
tcf(c_52405,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_3124]) ).
tcf(c_52406,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_3080]) ).
tcf(c_52407,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_2851]) ).
tcf(c_52408,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_2623]) ).
tcf(c_52409,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_2294]) ).
tcf(c_52410,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_1883]) ).
tcf(c_52411,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_1835]) ).
tcf(c_52412,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),
inference(superposition,[status(thm)],[c_52396,c_1774]) ).
tcf(c_52413,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_5023]) ).
tcf(c_52414,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52396,c_4917]) ).
tcf(c_52415,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_1038]) ).
tcf(c_52416,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_1004]) ).
tcf(c_52417,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_1582]) ).
tcf(c_52418,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52396,c_1264]) ).
tcf(c_52419,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1187]) ).
tcf(c_52420,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1186]) ).
tcf(c_52421,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1185]) ).
tcf(c_52422,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1184]) ).
tcf(c_52423,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1183]) ).
tcf(c_52424,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1182]) ).
tcf(c_52425,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1120]) ).
tcf(c_52426,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1119]) ).
tcf(c_52427,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1118]) ).
tcf(c_52428,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1117]) ).
tcf(c_52429,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1116]) ).
tcf(c_52430,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_1115]) ).
tcf(c_52431,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_951]) ).
tcf(c_52432,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_52396,c_937]) ).
tcf(c_52433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52396,c_69]) ).
tcf(c_52434,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_923]) ).
tcf(c_52435,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52396,c_68]) ).
tcf(c_52436,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52396,c_77]) ).
tcf(c_52437,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52396,c_71]) ).
tcf(c_52438,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52396,c_909]) ).
tcf(c_52439,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52396,c_76]) ).
tcf(c_52440,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52396,c_70]) ).
tcf(c_52441,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))),sdtpldt0(xm,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_74]) ).
tcf(c_52442,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),smndt0(sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_73]) ).
tcf(c_52443,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xq))) = sdtpldt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_52396,c_63]) ).
tcf(c_52444,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xq)),sz00) = sdtpldt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_52396,c_62]) ).
tcf(c_52445,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_61]) ).
tcf(c_52446,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52396,c_60]) ).
tcf(c_52557,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_4746,c_78]) ).
tcf(c_52558,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_52557,c_56,c_1633]) ).
tcf(c_52559,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_5998]) ).
tcf(c_52560,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52558,c_5844]) ).
tcf(c_52561,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_4849]) ).
tcf(c_52562,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_4744]) ).
tcf(c_52563,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_4587]) ).
tcf(c_52564,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_4303]) ).
tcf(c_52565,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_3754]) ).
tcf(c_52566,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_3178]) ).
tcf(c_52567,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_3124]) ).
tcf(c_52568,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_3080]) ).
tcf(c_52569,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_2851]) ).
tcf(c_52570,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_2623]) ).
tcf(c_52571,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_2294]) ).
tcf(c_52572,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_1883]) ).
tcf(c_52573,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_1835]) ).
tcf(c_52574,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_52558,c_1774]) ).
tcf(c_52575,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_5023]) ).
tcf(c_52576,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52558,c_4917]) ).
tcf(c_52577,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_1038]) ).
tcf(c_52578,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_1004]) ).
tcf(c_52579,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_1582]) ).
tcf(c_52580,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52558,c_1264]) ).
tcf(c_52581,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1187]) ).
tcf(c_52582,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1186]) ).
tcf(c_52583,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1185]) ).
tcf(c_52584,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1184]) ).
tcf(c_52585,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1183]) ).
tcf(c_52586,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1182]) ).
tcf(c_52587,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1120]) ).
tcf(c_52588,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1119]) ).
tcf(c_52589,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1118]) ).
tcf(c_52590,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1117]) ).
tcf(c_52591,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1116]) ).
tcf(c_52592,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_1115]) ).
tcf(c_52593,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_951]) ).
tcf(c_52594,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_52558,c_937]) ).
tcf(c_52595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52558,c_69]) ).
tcf(c_52596,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_923]) ).
tcf(c_52597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52558,c_68]) ).
tcf(c_52598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52558,c_77]) ).
tcf(c_52599,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52558,c_71]) ).
tcf(c_52600,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52558,c_909]) ).
tcf(c_52601,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52558,c_76]) ).
tcf(c_52602,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52558,c_70]) ).
tcf(c_52603,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_74]) ).
tcf(c_52604,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_73]) ).
tcf(c_52605,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))) = sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_52558,c_63]) ).
tcf(c_52606,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_52558,c_62]) ).
tcf(c_52607,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_61]) ).
tcf(c_52608,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52558,c_60]) ).
tcf(c_52683,plain,
( ( sdtasdt0(sz00,sdtpldt0(xa,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_17095]) ).
tcf(c_52684,plain,
sdtasdt0(sz00,sdtpldt0(xa,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_52683,c_53]) ).
tcf(c_52689,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xp,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_4748,c_78]) ).
tcf(c_52690,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_52689,c_56,c_1975]) ).
tcf(c_52691,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_5998]) ).
tcf(c_52692,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52690,c_5844]) ).
tcf(c_52693,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_4849]) ).
tcf(c_52694,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_4744]) ).
tcf(c_52695,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_4587]) ).
tcf(c_52696,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_4303]) ).
tcf(c_52697,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_3754]) ).
tcf(c_52698,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_3178]) ).
tcf(c_52699,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_3124]) ).
tcf(c_52700,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_3080]) ).
tcf(c_52701,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_2851]) ).
tcf(c_52702,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_2623]) ).
tcf(c_52703,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_2294]) ).
tcf(c_52704,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_1883]) ).
tcf(c_52705,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_1835]) ).
tcf(c_52706,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_52690,c_1774]) ).
tcf(c_52707,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_5023]) ).
tcf(c_52708,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52690,c_4917]) ).
tcf(c_52709,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_1038]) ).
tcf(c_52710,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_1004]) ).
tcf(c_52711,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_1582]) ).
tcf(c_52712,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52690,c_1264]) ).
tcf(c_52713,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1187]) ).
tcf(c_52714,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1186]) ).
tcf(c_52715,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1185]) ).
tcf(c_52716,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1184]) ).
tcf(c_52717,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1183]) ).
tcf(c_52718,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1182]) ).
tcf(c_52719,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1120]) ).
tcf(c_52720,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1119]) ).
tcf(c_52721,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1118]) ).
tcf(c_52722,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1117]) ).
tcf(c_52723,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1116]) ).
tcf(c_52724,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_1115]) ).
tcf(c_52725,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_951]) ).
tcf(c_52726,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_52690,c_937]) ).
tcf(c_52727,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52690,c_69]) ).
tcf(c_52728,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_923]) ).
tcf(c_52729,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52690,c_68]) ).
tcf(c_52730,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52690,c_77]) ).
tcf(c_52731,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52690,c_71]) ).
tcf(c_52732,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52690,c_909]) ).
tcf(c_52733,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52690,c_76]) ).
tcf(c_52734,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52690,c_70]) ).
tcf(c_52735,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))),sdtpldt0(xm,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_74]) ).
tcf(c_52736,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),smndt0(sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_73]) ).
tcf(c_52737,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xa))) = sdtpldt0(xm,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_52690,c_63]) ).
tcf(c_52738,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xa)),sz00) = sdtpldt0(xm,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_52690,c_62]) ).
tcf(c_52739,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_61]) ).
tcf(c_52740,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52690,c_60]) ).
tcf(c_52792,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xa,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_4749,c_78]) ).
tcf(c_52793,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_52792,c_56,c_1914]) ).
tcf(c_52794,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_5998]) ).
tcf(c_52795,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52793,c_5844]) ).
tcf(c_52796,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_4849]) ).
tcf(c_52797,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_4744]) ).
tcf(c_52798,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_4587]) ).
tcf(c_52799,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_4303]) ).
tcf(c_52800,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_3754]) ).
tcf(c_52801,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_3178]) ).
tcf(c_52802,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_3124]) ).
tcf(c_52803,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_3080]) ).
tcf(c_52804,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_2851]) ).
tcf(c_52805,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_2623]) ).
tcf(c_52806,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_2294]) ).
tcf(c_52807,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_1883]) ).
tcf(c_52808,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_1835]) ).
tcf(c_52809,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_52793,c_1774]) ).
tcf(c_52810,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_5023]) ).
tcf(c_52811,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52793,c_4917]) ).
tcf(c_52812,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_1038]) ).
tcf(c_52813,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_1004]) ).
tcf(c_52814,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_1582]) ).
tcf(c_52815,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52793,c_1264]) ).
tcf(c_52816,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1187]) ).
tcf(c_52817,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1186]) ).
tcf(c_52818,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1185]) ).
tcf(c_52819,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1184]) ).
tcf(c_52820,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1183]) ).
tcf(c_52821,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1182]) ).
tcf(c_52822,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1120]) ).
tcf(c_52823,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1119]) ).
tcf(c_52824,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1118]) ).
tcf(c_52825,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1117]) ).
tcf(c_52826,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1116]) ).
tcf(c_52827,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_1115]) ).
tcf(c_52828,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))) = smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_951]) ).
tcf(c_52829,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_52793,c_937]) ).
tcf(c_52830,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52793,c_69]) ).
tcf(c_52831,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_923]) ).
tcf(c_52832,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52793,c_68]) ).
tcf(c_52833,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52793,c_77]) ).
tcf(c_52834,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52793,c_71]) ).
tcf(c_52835,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52793,c_909]) ).
tcf(c_52836,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52793,c_76]) ).
tcf(c_52837,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52793,c_70]) ).
tcf(c_52838,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))),sdtpldt0(xm,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_74]) ).
tcf(c_52839,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),smndt0(sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_73]) ).
tcf(c_52840,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xb))) = sdtpldt0(xm,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_52793,c_63]) ).
tcf(c_52841,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xb)),sz00) = sdtpldt0(xm,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_52793,c_62]) ).
tcf(c_52842,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_61]) ).
tcf(c_52843,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52793,c_60]) ).
tcf(c_52947,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xq,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_4750,c_78]) ).
tcf(c_52948,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_52947,c_56,c_2091]) ).
tcf(c_52949,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_5998]) ).
tcf(c_52950,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52948,c_5844]) ).
tcf(c_52951,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_4849]) ).
tcf(c_52952,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_4744]) ).
tcf(c_52953,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_4587]) ).
tcf(c_52954,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_4303]) ).
tcf(c_52955,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_3754]) ).
tcf(c_52956,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_3178]) ).
tcf(c_52957,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_3124]) ).
tcf(c_52958,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_3080]) ).
tcf(c_52959,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_2851]) ).
tcf(c_52960,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_2623]) ).
tcf(c_52961,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_2294]) ).
tcf(c_52962,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_1883]) ).
tcf(c_52963,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_1835]) ).
tcf(c_52964,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_52948,c_1774]) ).
tcf(c_52965,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_5023]) ).
tcf(c_52966,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52948,c_4917]) ).
tcf(c_52967,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_1038]) ).
tcf(c_52968,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_1004]) ).
tcf(c_52969,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_1582]) ).
tcf(c_52970,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52948,c_1264]) ).
tcf(c_52971,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1187]) ).
tcf(c_52972,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1186]) ).
tcf(c_52973,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1185]) ).
tcf(c_52974,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1184]) ).
tcf(c_52975,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1183]) ).
tcf(c_52976,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1182]) ).
tcf(c_52977,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1120]) ).
tcf(c_52978,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1119]) ).
tcf(c_52979,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1118]) ).
tcf(c_52980,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1117]) ).
tcf(c_52981,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1116]) ).
tcf(c_52982,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_1115]) ).
tcf(c_52983,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))) = smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_951]) ).
tcf(c_52984,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_52948,c_937]) ).
tcf(c_52985,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52948,c_69]) ).
tcf(c_52986,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_923]) ).
tcf(c_52987,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52948,c_68]) ).
tcf(c_52988,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52948,c_77]) ).
tcf(c_52989,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52948,c_71]) ).
tcf(c_52990,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52948,c_909]) ).
tcf(c_52991,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52948,c_76]) ).
tcf(c_52992,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52948,c_70]) ).
tcf(c_52993,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))),sdtpldt0(xm,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_74]) ).
tcf(c_52994,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),smndt0(sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_73]) ).
tcf(c_52995,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xa))) = sdtpldt0(xm,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_52948,c_63]) ).
tcf(c_52996,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xa)),sz00) = sdtpldt0(xm,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_52948,c_62]) ).
tcf(c_52997,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_61]) ).
tcf(c_52998,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52948,c_60]) ).
tcf(c_53073,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_17096]) ).
tcf(c_53074,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_53073,c_53]) ).
tcf(c_53085,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xa,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_4751,c_78]) ).
tcf(c_53086,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53085,c_56,c_2166]) ).
tcf(c_53087,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_5998]) ).
tcf(c_53088,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53086,c_5844]) ).
tcf(c_53089,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_4849]) ).
tcf(c_53090,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_4744]) ).
tcf(c_53091,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_4587]) ).
tcf(c_53092,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_4303]) ).
tcf(c_53093,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_3754]) ).
tcf(c_53094,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_3178]) ).
tcf(c_53095,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_3124]) ).
tcf(c_53096,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_3080]) ).
tcf(c_53097,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_2851]) ).
tcf(c_53098,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_2623]) ).
tcf(c_53099,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_2294]) ).
tcf(c_53100,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_1883]) ).
tcf(c_53101,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_1835]) ).
tcf(c_53102,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),
inference(superposition,[status(thm)],[c_53086,c_1774]) ).
tcf(c_53103,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_5023]) ).
tcf(c_53104,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53086,c_4917]) ).
tcf(c_53105,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_1038]) ).
tcf(c_53106,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_1004]) ).
tcf(c_53107,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_1582]) ).
tcf(c_53108,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53086,c_1264]) ).
tcf(c_53109,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1187]) ).
tcf(c_53110,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1186]) ).
tcf(c_53111,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1185]) ).
tcf(c_53112,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1184]) ).
tcf(c_53113,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1183]) ).
tcf(c_53114,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1182]) ).
tcf(c_53115,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1120]) ).
tcf(c_53116,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1119]) ).
tcf(c_53117,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1118]) ).
tcf(c_53118,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1117]) ).
tcf(c_53119,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1116]) ).
tcf(c_53120,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_1115]) ).
tcf(c_53121,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))) = smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_951]) ).
tcf(c_53122,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),
inference(superposition,[status(thm)],[c_53086,c_937]) ).
tcf(c_53123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53086,c_69]) ).
tcf(c_53124,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_923]) ).
tcf(c_53125,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53086,c_68]) ).
tcf(c_53126,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53086,c_77]) ).
tcf(c_53127,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53086,c_71]) ).
tcf(c_53128,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53086,c_909]) ).
tcf(c_53129,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53086,c_76]) ).
tcf(c_53130,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53086,c_70]) ).
tcf(c_53131,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))),sdtpldt0(xm,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_74]) ).
tcf(c_53132,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),smndt0(sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_73]) ).
tcf(c_53133,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xm))) = sdtpldt0(xm,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_53086,c_63]) ).
tcf(c_53134,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,xm)),sz00) = sdtpldt0(xm,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_53086,c_62]) ).
tcf(c_53135,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_61]) ).
tcf(c_53136,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53086,c_60]) ).
tcf(c_53197,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xp,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_4752,c_78]) ).
tcf(c_53198,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_53197,c_56,c_2315]) ).
tcf(c_53199,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xq,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_4753,c_78]) ).
tcf(c_53200,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_53199,c_56,c_2420]) ).
tcf(c_53204,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_5998]) ).
tcf(c_53205,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53198,c_5844]) ).
tcf(c_53206,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_4849]) ).
tcf(c_53207,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_4744]) ).
tcf(c_53208,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_4587]) ).
tcf(c_53209,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_4303]) ).
tcf(c_53210,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_3754]) ).
tcf(c_53211,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_3178]) ).
tcf(c_53212,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_3124]) ).
tcf(c_53213,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_3080]) ).
tcf(c_53214,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_2851]) ).
tcf(c_53215,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_2623]) ).
tcf(c_53216,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_2294]) ).
tcf(c_53217,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_1883]) ).
tcf(c_53218,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_1835]) ).
tcf(c_53219,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),
inference(superposition,[status(thm)],[c_53198,c_1774]) ).
tcf(c_53220,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_5023]) ).
tcf(c_53221,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53198,c_4917]) ).
tcf(c_53222,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_1038]) ).
tcf(c_53223,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_1004]) ).
tcf(c_53224,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_1582]) ).
tcf(c_53225,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53198,c_1264]) ).
tcf(c_53226,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1187]) ).
tcf(c_53227,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1186]) ).
tcf(c_53228,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1185]) ).
tcf(c_53229,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1184]) ).
tcf(c_53230,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1183]) ).
tcf(c_53231,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1182]) ).
tcf(c_53232,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1120]) ).
tcf(c_53233,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1119]) ).
tcf(c_53234,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1118]) ).
tcf(c_53235,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1117]) ).
tcf(c_53236,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1116]) ).
tcf(c_53237,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_1115]) ).
tcf(c_53238,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_951]) ).
tcf(c_53239,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),
inference(superposition,[status(thm)],[c_53198,c_937]) ).
tcf(c_53240,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53198,c_69]) ).
tcf(c_53241,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_923]) ).
tcf(c_53242,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53198,c_68]) ).
tcf(c_53243,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53198,c_77]) ).
tcf(c_53244,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53198,c_71]) ).
tcf(c_53245,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53198,c_909]) ).
tcf(c_53246,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53198,c_76]) ).
tcf(c_53247,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53198,c_70]) ).
tcf(c_53248,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))),sdtpldt0(xm,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_74]) ).
tcf(c_53249,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),smndt0(sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_73]) ).
tcf(c_53250,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xb))) = sdtpldt0(xm,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_53198,c_63]) ).
tcf(c_53251,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xb)),sz00) = sdtpldt0(xm,sdtasdt0(xp,xb)),
inference(superposition,[status(thm)],[c_53198,c_62]) ).
tcf(c_53252,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_61]) ).
tcf(c_53253,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53198,c_60]) ).
tcf(c_53367,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_5998]) ).
tcf(c_53368,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53200,c_5844]) ).
tcf(c_53369,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_4849]) ).
tcf(c_53370,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_4744]) ).
tcf(c_53371,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_4587]) ).
tcf(c_53372,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_4303]) ).
tcf(c_53373,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_3754]) ).
tcf(c_53374,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_3178]) ).
tcf(c_53375,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_3124]) ).
tcf(c_53376,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_3080]) ).
tcf(c_53377,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_2851]) ).
tcf(c_53378,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_2623]) ).
tcf(c_53379,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_2294]) ).
tcf(c_53380,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_1883]) ).
tcf(c_53381,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_1835]) ).
tcf(c_53382,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),
inference(superposition,[status(thm)],[c_53200,c_1774]) ).
tcf(c_53383,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_5023]) ).
tcf(c_53384,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53200,c_4917]) ).
tcf(c_53385,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_1038]) ).
tcf(c_53386,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_1004]) ).
tcf(c_53387,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_1582]) ).
tcf(c_53388,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53200,c_1264]) ).
tcf(c_53389,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1187]) ).
tcf(c_53390,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1186]) ).
tcf(c_53391,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1185]) ).
tcf(c_53392,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1184]) ).
tcf(c_53393,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1183]) ).
tcf(c_53394,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1182]) ).
tcf(c_53395,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1120]) ).
tcf(c_53396,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1119]) ).
tcf(c_53397,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1118]) ).
tcf(c_53398,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1117]) ).
tcf(c_53399,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1116]) ).
tcf(c_53400,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_1115]) ).
tcf(c_53401,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))) = smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_951]) ).
tcf(c_53402,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),
inference(superposition,[status(thm)],[c_53200,c_937]) ).
tcf(c_53403,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53200,c_69]) ).
tcf(c_53404,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_923]) ).
tcf(c_53405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53200,c_68]) ).
tcf(c_53406,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53200,c_77]) ).
tcf(c_53407,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53200,c_71]) ).
tcf(c_53408,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53200,c_909]) ).
tcf(c_53409,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53200,c_76]) ).
tcf(c_53410,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53200,c_70]) ).
tcf(c_53411,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))),sdtpldt0(xm,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_74]) ).
tcf(c_53412,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),smndt0(sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_73]) ).
tcf(c_53413,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xb))) = sdtpldt0(xm,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_53200,c_63]) ).
tcf(c_53414,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xb)),sz00) = sdtpldt0(xm,sdtasdt0(xq,xb)),
inference(superposition,[status(thm)],[c_53200,c_62]) ).
tcf(c_53415,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_61]) ).
tcf(c_53416,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53200,c_60]) ).
tcf(c_53526,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xb,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4754,c_78]) ).
tcf(c_53527,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53526,c_56,c_2484]) ).
tcf(c_53528,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_5998]) ).
tcf(c_53529,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53527,c_5844]) ).
tcf(c_53530,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_4849]) ).
tcf(c_53531,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_4744]) ).
tcf(c_53532,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_4587]) ).
tcf(c_53533,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_4303]) ).
tcf(c_53534,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_3754]) ).
tcf(c_53535,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_3178]) ).
tcf(c_53536,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_3124]) ).
tcf(c_53537,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_3080]) ).
tcf(c_53538,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_2851]) ).
tcf(c_53539,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_2623]) ).
tcf(c_53540,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_2294]) ).
tcf(c_53541,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_1883]) ).
tcf(c_53542,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_1835]) ).
tcf(c_53543,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),
inference(superposition,[status(thm)],[c_53527,c_1774]) ).
tcf(c_53544,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_5023]) ).
tcf(c_53545,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53527,c_4917]) ).
tcf(c_53546,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_1038]) ).
tcf(c_53547,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_1004]) ).
tcf(c_53548,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_1582]) ).
tcf(c_53549,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53527,c_1264]) ).
tcf(c_53550,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1187]) ).
tcf(c_53551,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1186]) ).
tcf(c_53552,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1185]) ).
tcf(c_53553,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1184]) ).
tcf(c_53554,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1183]) ).
tcf(c_53555,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1182]) ).
tcf(c_53556,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1120]) ).
tcf(c_53557,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1119]) ).
tcf(c_53558,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1118]) ).
tcf(c_53559,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1117]) ).
tcf(c_53560,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1116]) ).
tcf(c_53561,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_1115]) ).
tcf(c_53562,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))) = smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_951]) ).
tcf(c_53563,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),
inference(superposition,[status(thm)],[c_53527,c_937]) ).
tcf(c_53564,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53527,c_69]) ).
tcf(c_53565,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_923]) ).
tcf(c_53566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53527,c_68]) ).
tcf(c_53567,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53527,c_77]) ).
tcf(c_53568,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53527,c_71]) ).
tcf(c_53569,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53527,c_909]) ).
tcf(c_53570,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53527,c_76]) ).
tcf(c_53571,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53527,c_70]) ).
tcf(c_53572,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))),sdtpldt0(xm,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_74]) ).
tcf(c_53573,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),smndt0(sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_73]) ).
tcf(c_53574,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xb,xm))) = sdtpldt0(xm,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_53527,c_63]) ).
tcf(c_53575,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xb,xm)),sz00) = sdtpldt0(xm,sdtasdt0(xb,xm)),
inference(superposition,[status(thm)],[c_53527,c_62]) ).
tcf(c_53576,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_61]) ).
tcf(c_53577,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53527,c_60]) ).
tcf(c_53629,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_4755,c_78]) ).
tcf(c_53630,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(forward_subsumption_resolution,[status(thm)],[c_53629,c_56,c_3596]) ).
tcf(c_53631,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_5998]) ).
tcf(c_53632,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53630,c_5844]) ).
tcf(c_53633,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_4849]) ).
tcf(c_53634,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_4744]) ).
tcf(c_53635,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_4587]) ).
tcf(c_53636,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_4303]) ).
tcf(c_53637,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_3754]) ).
tcf(c_53638,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_3178]) ).
tcf(c_53639,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_3124]) ).
tcf(c_53640,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_3080]) ).
tcf(c_53641,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_2851]) ).
tcf(c_53642,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_2623]) ).
tcf(c_53643,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_2294]) ).
tcf(c_53644,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_1883]) ).
tcf(c_53645,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_1835]) ).
tcf(c_53646,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),
inference(superposition,[status(thm)],[c_53630,c_1774]) ).
tcf(c_53647,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_5023]) ).
tcf(c_53648,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53630,c_4917]) ).
tcf(c_53649,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_1038]) ).
tcf(c_53650,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_1004]) ).
tcf(c_53651,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_1582]) ).
tcf(c_53652,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53630,c_1264]) ).
tcf(c_53653,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1187]) ).
tcf(c_53654,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1186]) ).
tcf(c_53655,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1185]) ).
tcf(c_53656,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1184]) ).
tcf(c_53657,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1183]) ).
tcf(c_53658,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1182]) ).
tcf(c_53659,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1120]) ).
tcf(c_53660,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1119]) ).
tcf(c_53661,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1118]) ).
tcf(c_53662,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1117]) ).
tcf(c_53663,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1116]) ).
tcf(c_53664,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_1115]) ).
tcf(c_53665,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_951]) ).
tcf(c_53666,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),
inference(superposition,[status(thm)],[c_53630,c_937]) ).
tcf(c_53667,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53630,c_69]) ).
tcf(c_53668,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_923]) ).
tcf(c_53669,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53630,c_68]) ).
tcf(c_53670,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53630,c_77]) ).
tcf(c_53671,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53630,c_71]) ).
tcf(c_53672,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53630,c_909]) ).
tcf(c_53673,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53630,c_76]) ).
tcf(c_53674,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53630,c_70]) ).
tcf(c_53675,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))),sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_74]) ).
tcf(c_53676,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_73]) ).
tcf(c_53677,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_53630,c_63]) ).
tcf(c_53678,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),
inference(superposition,[status(thm)],[c_53630,c_62]) ).
tcf(c_53679,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_61]) ).
tcf(c_53680,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53630,c_60]) ).
tcf(c_53959,plain,
( ( sdtasdt0(sz00,sdtpldt0(xa,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_17341]) ).
tcf(c_53960,plain,
sdtasdt0(sz00,sdtpldt0(xa,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_53959,c_56]) ).
tcf(c_53967,plain,
( ( sdtasdt0(sdtpldt0(xa,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_17342]) ).
tcf(c_53968,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_53967,c_56]) ).
tcf(c_53971,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xp,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4756,c_78]) ).
tcf(c_53972,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53971,c_56,c_2753]) ).
tcf(c_53973,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_5998]) ).
tcf(c_53974,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53972,c_5844]) ).
tcf(c_53975,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_4849]) ).
tcf(c_53976,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_4744]) ).
tcf(c_53977,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_4587]) ).
tcf(c_53978,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_4303]) ).
tcf(c_53979,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_3754]) ).
tcf(c_53980,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_3178]) ).
tcf(c_53981,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_3124]) ).
tcf(c_53982,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_3080]) ).
tcf(c_53983,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_2851]) ).
tcf(c_53984,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_2623]) ).
tcf(c_53985,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_2294]) ).
tcf(c_53986,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_1883]) ).
tcf(c_53987,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_1835]) ).
tcf(c_53988,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),
inference(superposition,[status(thm)],[c_53972,c_1774]) ).
tcf(c_53989,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_5023]) ).
tcf(c_53990,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53972,c_4917]) ).
tcf(c_53991,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_1038]) ).
tcf(c_53992,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_1004]) ).
tcf(c_53993,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_1582]) ).
tcf(c_53994,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53972,c_1264]) ).
tcf(c_53995,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1187]) ).
tcf(c_53996,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1186]) ).
tcf(c_53997,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1185]) ).
tcf(c_53998,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1184]) ).
tcf(c_53999,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1183]) ).
tcf(c_54000,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1182]) ).
tcf(c_54001,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1120]) ).
tcf(c_54002,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1119]) ).
tcf(c_54003,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1118]) ).
tcf(c_54004,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1117]) ).
tcf(c_54005,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1116]) ).
tcf(c_54006,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_1115]) ).
tcf(c_54007,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_951]) ).
tcf(c_54008,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),
inference(superposition,[status(thm)],[c_53972,c_937]) ).
tcf(c_54009,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53972,c_69]) ).
tcf(c_54010,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_923]) ).
tcf(c_54011,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53972,c_68]) ).
tcf(c_54012,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53972,c_77]) ).
tcf(c_54013,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53972,c_71]) ).
tcf(c_54014,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_53972,c_909]) ).
tcf(c_54015,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53972,c_76]) ).
tcf(c_54016,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53972,c_70]) ).
tcf(c_54017,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))),sdtpldt0(xm,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_74]) ).
tcf(c_54018,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),smndt0(sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_73]) ).
tcf(c_54019,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xm))) = sdtpldt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_53972,c_63]) ).
tcf(c_54020,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xp,xm)),sz00) = sdtpldt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_53972,c_62]) ).
tcf(c_54021,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_61]) ).
tcf(c_54022,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53972,c_60]) ).
tcf(c_54097,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xq,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4757,c_78]) ).
tcf(c_54098,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_54097,c_56,c_2918]) ).
tcf(c_54099,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_5998]) ).
tcf(c_54100,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54098,c_5844]) ).
tcf(c_54101,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_4849]) ).
tcf(c_54102,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_4744]) ).
tcf(c_54103,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_4587]) ).
tcf(c_54104,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_4303]) ).
tcf(c_54105,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_3754]) ).
tcf(c_54106,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_3178]) ).
tcf(c_54107,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_3124]) ).
tcf(c_54108,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_3080]) ).
tcf(c_54109,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_2851]) ).
tcf(c_54110,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_2623]) ).
tcf(c_54111,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_2294]) ).
tcf(c_54112,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_1883]) ).
tcf(c_54113,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_1835]) ).
tcf(c_54114,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),
inference(superposition,[status(thm)],[c_54098,c_1774]) ).
tcf(c_54115,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_5023]) ).
tcf(c_54116,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54098,c_4917]) ).
tcf(c_54117,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_1038]) ).
tcf(c_54118,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_1004]) ).
tcf(c_54119,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_1582]) ).
tcf(c_54120,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54098,c_1264]) ).
tcf(c_54121,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1187]) ).
tcf(c_54122,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1186]) ).
tcf(c_54123,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1185]) ).
tcf(c_54124,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1184]) ).
tcf(c_54125,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1183]) ).
tcf(c_54126,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1182]) ).
tcf(c_54127,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1120]) ).
tcf(c_54128,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1119]) ).
tcf(c_54129,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1118]) ).
tcf(c_54130,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1117]) ).
tcf(c_54131,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1116]) ).
tcf(c_54132,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_1115]) ).
tcf(c_54133,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))) = smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_951]) ).
tcf(c_54134,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),
inference(superposition,[status(thm)],[c_54098,c_937]) ).
tcf(c_54135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54098,c_69]) ).
tcf(c_54136,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_923]) ).
tcf(c_54137,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54098,c_68]) ).
tcf(c_54138,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54098,c_77]) ).
tcf(c_54139,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54098,c_71]) ).
tcf(c_54140,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54098,c_909]) ).
tcf(c_54141,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54098,c_76]) ).
tcf(c_54142,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54098,c_70]) ).
tcf(c_54143,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))),sdtpldt0(xm,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_74]) ).
tcf(c_54144,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),smndt0(sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_73]) ).
tcf(c_54145,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xm))) = sdtpldt0(xm,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_54098,c_63]) ).
tcf(c_54146,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xq,xm)),sz00) = sdtpldt0(xm,sdtasdt0(xq,xm)),
inference(superposition,[status(thm)],[c_54098,c_62]) ).
tcf(c_54147,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_61]) ).
tcf(c_54148,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54098,c_60]) ).
tcf(c_54198,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xa,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_4758,c_78]) ).
tcf(c_54199,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_54198,c_56,c_3219]) ).
tcf(c_54200,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_5998]) ).
tcf(c_54201,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54199,c_5844]) ).
tcf(c_54202,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_4849]) ).
tcf(c_54203,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_4744]) ).
tcf(c_54204,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_4587]) ).
tcf(c_54205,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_4303]) ).
tcf(c_54206,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_3754]) ).
tcf(c_54207,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_3178]) ).
tcf(c_54208,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_3124]) ).
tcf(c_54209,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_3080]) ).
tcf(c_54210,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_2851]) ).
tcf(c_54211,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_2623]) ).
tcf(c_54212,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_2294]) ).
tcf(c_54213,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_1883]) ).
tcf(c_54214,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_1835]) ).
tcf(c_54215,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),
inference(superposition,[status(thm)],[c_54199,c_1774]) ).
tcf(c_54216,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_5023]) ).
tcf(c_54217,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54199,c_4917]) ).
tcf(c_54218,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_1038]) ).
tcf(c_54219,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_1004]) ).
tcf(c_54220,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_1582]) ).
tcf(c_54221,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54199,c_1264]) ).
tcf(c_54222,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1187]) ).
tcf(c_54223,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1186]) ).
tcf(c_54224,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1185]) ).
tcf(c_54225,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1184]) ).
tcf(c_54226,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1183]) ).
tcf(c_54227,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1182]) ).
tcf(c_54228,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1120]) ).
tcf(c_54229,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1119]) ).
tcf(c_54230,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1118]) ).
tcf(c_54231,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1117]) ).
tcf(c_54232,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1116]) ).
tcf(c_54233,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_1115]) ).
tcf(c_54234,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))) = smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_951]) ).
tcf(c_54235,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),
inference(superposition,[status(thm)],[c_54199,c_937]) ).
tcf(c_54236,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54199,c_69]) ).
tcf(c_54237,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_923]) ).
tcf(c_54238,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54199,c_68]) ).
tcf(c_54239,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54199,c_77]) ).
tcf(c_54240,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54199,c_71]) ).
tcf(c_54241,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54199,c_909]) ).
tcf(c_54242,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54199,c_76]) ).
tcf(c_54243,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xa,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54199,c_70]) ).
tcf(c_54244,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))),sdtpldt0(xm,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_74]) ).
tcf(c_54245,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),smndt0(sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_73]) ).
tcf(c_54246,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xb))) = sdtpldt0(xm,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_54199,c_63]) ).
tcf(c_54247,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xb)),sz00) = sdtpldt0(xm,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_54199,c_62]) ).
tcf(c_54248,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_61]) ).
tcf(c_54249,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54199,c_60]) ).
tcf(c_54479,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_19218]) ).
tcf(c_54480,plain,
sdtasdt0(sz00,sdtpldt0(xb,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54479,c_49]) ).
tcf(c_54489,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xp,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_4759,c_78]) ).
tcf(c_54490,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_54489,c_56,c_3339]) ).
tcf(c_54491,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_5998]) ).
tcf(c_54492,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54490,c_5844]) ).
tcf(c_54493,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_4849]) ).
tcf(c_54494,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_4744]) ).
tcf(c_54495,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_4587]) ).
tcf(c_54496,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_4303]) ).
tcf(c_54497,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_3754]) ).
tcf(c_54498,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_3178]) ).
tcf(c_54499,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_3124]) ).
tcf(c_54500,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_3080]) ).
tcf(c_54501,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_2851]) ).
tcf(c_54502,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_2623]) ).
tcf(c_54503,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_2294]) ).
tcf(c_54504,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_1883]) ).
tcf(c_54505,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_1835]) ).
tcf(c_54506,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),
inference(superposition,[status(thm)],[c_54490,c_1774]) ).
tcf(c_54507,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_5023]) ).
tcf(c_54508,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54490,c_4917]) ).
tcf(c_54509,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_1038]) ).
tcf(c_54510,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_1004]) ).
tcf(c_54511,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_1582]) ).
tcf(c_54512,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54490,c_1264]) ).
tcf(c_54513,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1187]) ).
tcf(c_54514,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1186]) ).
tcf(c_54515,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1185]) ).
tcf(c_54516,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1184]) ).
tcf(c_54517,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1183]) ).
tcf(c_54518,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1182]) ).
tcf(c_54519,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1120]) ).
tcf(c_54520,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1119]) ).
tcf(c_54521,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1118]) ).
tcf(c_54522,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1117]) ).
tcf(c_54523,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1116]) ).
tcf(c_54524,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_1115]) ).
tcf(c_54525,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_951]) ).
tcf(c_54526,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),
inference(superposition,[status(thm)],[c_54490,c_937]) ).
tcf(c_54527,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54490,c_69]) ).
tcf(c_54528,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_923]) ).
tcf(c_54529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54490,c_68]) ).
tcf(c_54530,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54490,c_77]) ).
tcf(c_54531,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54490,c_71]) ).
tcf(c_54532,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54490,c_909]) ).
tcf(c_54533,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54490,c_76]) ).
tcf(c_54534,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xp,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54490,c_70]) ).
tcf(c_54535,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))),sdtpldt0(xm,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_74]) ).
tcf(c_54536,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),smndt0(sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_73]) ).
tcf(c_54537,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xa))) = sdtpldt0(xm,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_54490,c_63]) ).
tcf(c_54538,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xa)),sz00) = sdtpldt0(xm,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_54490,c_62]) ).
tcf(c_54539,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_61]) ).
tcf(c_54540,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54490,c_60]) ).
tcf(c_54615,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xq,xa)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_4760,c_78]) ).
tcf(c_54616,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_54615,c_56,c_3448]) ).
tcf(c_54617,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_5998]) ).
tcf(c_54618,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54616,c_5844]) ).
tcf(c_54619,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_4849]) ).
tcf(c_54620,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_4744]) ).
tcf(c_54621,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_4587]) ).
tcf(c_54622,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_4303]) ).
tcf(c_54623,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_3754]) ).
tcf(c_54624,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_3178]) ).
tcf(c_54625,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_3124]) ).
tcf(c_54626,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_3080]) ).
tcf(c_54627,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_2851]) ).
tcf(c_54628,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_2623]) ).
tcf(c_54629,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_2294]) ).
tcf(c_54630,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_1883]) ).
tcf(c_54631,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_1835]) ).
tcf(c_54632,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),
inference(superposition,[status(thm)],[c_54616,c_1774]) ).
tcf(c_54633,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_5023]) ).
tcf(c_54634,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54616,c_4917]) ).
tcf(c_54635,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_1038]) ).
tcf(c_54636,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_1004]) ).
tcf(c_54637,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_1582]) ).
tcf(c_54638,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54616,c_1264]) ).
tcf(c_54639,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1187]) ).
tcf(c_54640,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1186]) ).
tcf(c_54641,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1185]) ).
tcf(c_54642,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1184]) ).
tcf(c_54643,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1183]) ).
tcf(c_54644,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1182]) ).
tcf(c_54645,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1120]) ).
tcf(c_54646,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1119]) ).
tcf(c_54647,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1118]) ).
tcf(c_54648,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1117]) ).
tcf(c_54649,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1116]) ).
tcf(c_54650,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_1115]) ).
tcf(c_54651,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))) = smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_951]) ).
tcf(c_54652,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),
inference(superposition,[status(thm)],[c_54616,c_937]) ).
tcf(c_54653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54616,c_69]) ).
tcf(c_54654,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_923]) ).
tcf(c_54655,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54616,c_68]) ).
tcf(c_54656,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54616,c_77]) ).
tcf(c_54657,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54616,c_71]) ).
tcf(c_54658,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54616,c_909]) ).
tcf(c_54659,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54616,c_76]) ).
tcf(c_54660,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xq,xa))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54616,c_70]) ).
tcf(c_54661,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))),sdtpldt0(xm,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_74]) ).
tcf(c_54662,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),smndt0(sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_73]) ).
tcf(c_54663,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xa))) = sdtpldt0(xm,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_54616,c_63]) ).
tcf(c_54664,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xa)),sz00) = sdtpldt0(xm,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_54616,c_62]) ).
tcf(c_54665,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_61]) ).
tcf(c_54666,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54616,c_60]) ).
tcf(c_54712,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xa,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_4761,c_78]) ).
tcf(c_54713,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_54712,c_56,c_3508]) ).
tcf(c_54714,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_5998]) ).
tcf(c_54715,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54713,c_5844]) ).
tcf(c_54716,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_4849]) ).
tcf(c_54717,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_4744]) ).
tcf(c_54718,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_4587]) ).
tcf(c_54719,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_4303]) ).
tcf(c_54720,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_3754]) ).
tcf(c_54721,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_3178]) ).
tcf(c_54722,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_3124]) ).
tcf(c_54723,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_3080]) ).
tcf(c_54724,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_2851]) ).
tcf(c_54725,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_2623]) ).
tcf(c_54726,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_2294]) ).
tcf(c_54727,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_1883]) ).
tcf(c_54728,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_1835]) ).
tcf(c_54729,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),
inference(superposition,[status(thm)],[c_54713,c_1774]) ).
tcf(c_54730,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_5023]) ).
tcf(c_54731,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54713,c_4917]) ).
tcf(c_54732,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_1038]) ).
tcf(c_54733,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_1004]) ).
tcf(c_54734,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_1582]) ).
tcf(c_54735,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54713,c_1264]) ).
tcf(c_54736,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1187]) ).
tcf(c_54737,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1186]) ).
tcf(c_54738,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1185]) ).
tcf(c_54739,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1184]) ).
tcf(c_54740,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1183]) ).
tcf(c_54741,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1182]) ).
tcf(c_54742,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1120]) ).
tcf(c_54743,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1119]) ).
tcf(c_54744,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1118]) ).
tcf(c_54745,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1117]) ).
tcf(c_54746,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1116]) ).
tcf(c_54747,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_1115]) ).
tcf(c_54748,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))) = smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_951]) ).
tcf(c_54749,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),
inference(superposition,[status(thm)],[c_54713,c_937]) ).
tcf(c_54750,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54713,c_69]) ).
tcf(c_54751,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_923]) ).
tcf(c_54752,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54713,c_68]) ).
tcf(c_54753,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54713,c_77]) ).
tcf(c_54754,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54713,c_71]) ).
tcf(c_54755,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54713,c_909]) ).
tcf(c_54756,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54713,c_76]) ).
tcf(c_54757,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xa,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54713,c_70]) ).
tcf(c_54758,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))),sdtpldt0(xm,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_74]) ).
tcf(c_54759,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),smndt0(sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_73]) ).
tcf(c_54760,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xm))) = sdtpldt0(xm,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_54713,c_63]) ).
tcf(c_54761,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xa,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_54713,c_62]) ).
tcf(c_54762,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_61]) ).
tcf(c_54763,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54713,c_60]) ).
tcf(c_54997,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xp,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_4762,c_78]) ).
tcf(c_54998,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_54997,c_56,c_3799]) ).
tcf(c_54999,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_5998]) ).
tcf(c_55000,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54998,c_5844]) ).
tcf(c_55001,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_4849]) ).
tcf(c_55002,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_4744]) ).
tcf(c_55003,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_4587]) ).
tcf(c_55004,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_4303]) ).
tcf(c_55005,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_3754]) ).
tcf(c_55006,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_3178]) ).
tcf(c_55007,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_3124]) ).
tcf(c_55008,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_3080]) ).
tcf(c_55009,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_2851]) ).
tcf(c_55010,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_2623]) ).
tcf(c_55011,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_2294]) ).
tcf(c_55012,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_1883]) ).
tcf(c_55013,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_1835]) ).
tcf(c_55014,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),
inference(superposition,[status(thm)],[c_54998,c_1774]) ).
tcf(c_55015,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_5023]) ).
tcf(c_55016,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54998,c_4917]) ).
tcf(c_55017,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_1038]) ).
tcf(c_55018,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_1004]) ).
tcf(c_55019,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_1582]) ).
tcf(c_55020,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54998,c_1264]) ).
tcf(c_55021,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1187]) ).
tcf(c_55022,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1186]) ).
tcf(c_55023,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1185]) ).
tcf(c_55024,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1184]) ).
tcf(c_55025,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1183]) ).
tcf(c_55026,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1182]) ).
tcf(c_55027,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1120]) ).
tcf(c_55028,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1119]) ).
tcf(c_55029,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1118]) ).
tcf(c_55030,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1117]) ).
tcf(c_55031,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1116]) ).
tcf(c_55032,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_1115]) ).
tcf(c_55033,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_951]) ).
tcf(c_55034,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),
inference(superposition,[status(thm)],[c_54998,c_937]) ).
tcf(c_55035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54998,c_69]) ).
tcf(c_55036,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_923]) ).
tcf(c_55037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54998,c_68]) ).
tcf(c_55038,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54998,c_77]) ).
tcf(c_55039,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54998,c_71]) ).
tcf(c_55040,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54998,c_909]) ).
tcf(c_55041,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54998,c_76]) ).
tcf(c_55042,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xp,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54998,c_70]) ).
tcf(c_55043,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))),sdtpldt0(xm,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_74]) ).
tcf(c_55044,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),smndt0(sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_73]) ).
tcf(c_55045,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xb))) = sdtpldt0(xm,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_54998,c_63]) ).
tcf(c_55046,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xb)),sz00) = sdtpldt0(xm,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_54998,c_62]) ).
tcf(c_55047,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_61]) ).
tcf(c_55048,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54998,c_60]) ).
tcf(c_55123,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xq,xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_4763,c_78]) ).
tcf(c_55124,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_55123,c_56,c_3870]) ).
tcf(c_55125,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xb,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4764,c_78]) ).
tcf(c_55126,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_55125,c_56,c_4045]) ).
tcf(c_55127,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_5998]) ).
tcf(c_55128,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55124,c_5844]) ).
tcf(c_55129,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_4849]) ).
tcf(c_55130,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_4744]) ).
tcf(c_55131,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_4587]) ).
tcf(c_55132,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_4303]) ).
tcf(c_55133,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_3754]) ).
tcf(c_55134,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_3178]) ).
tcf(c_55135,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_3124]) ).
tcf(c_55136,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_3080]) ).
tcf(c_55137,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_2851]) ).
tcf(c_55138,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_2623]) ).
tcf(c_55139,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_2294]) ).
tcf(c_55140,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_1883]) ).
tcf(c_55141,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_1835]) ).
tcf(c_55142,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),
inference(superposition,[status(thm)],[c_55124,c_1774]) ).
tcf(c_55143,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_5023]) ).
tcf(c_55144,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55124,c_4917]) ).
tcf(c_55145,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_1038]) ).
tcf(c_55146,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_1004]) ).
tcf(c_55147,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_1582]) ).
tcf(c_55148,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55124,c_1264]) ).
tcf(c_55149,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1187]) ).
tcf(c_55150,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1186]) ).
tcf(c_55151,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1185]) ).
tcf(c_55152,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1184]) ).
tcf(c_55153,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1183]) ).
tcf(c_55154,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1182]) ).
tcf(c_55155,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1120]) ).
tcf(c_55156,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1119]) ).
tcf(c_55157,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1118]) ).
tcf(c_55158,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1117]) ).
tcf(c_55159,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1116]) ).
tcf(c_55160,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_1115]) ).
tcf(c_55161,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))) = smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_951]) ).
tcf(c_55162,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),
inference(superposition,[status(thm)],[c_55124,c_937]) ).
tcf(c_55163,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55124,c_69]) ).
tcf(c_55164,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_923]) ).
tcf(c_55165,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55124,c_68]) ).
tcf(c_55166,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55124,c_77]) ).
tcf(c_55167,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55124,c_71]) ).
tcf(c_55168,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55124,c_909]) ).
tcf(c_55169,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55124,c_76]) ).
tcf(c_55170,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xq,xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55124,c_70]) ).
tcf(c_55171,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))),sdtpldt0(xm,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_74]) ).
tcf(c_55172,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),smndt0(sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_73]) ).
tcf(c_55173,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xb))) = sdtpldt0(xm,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_55124,c_63]) ).
tcf(c_55174,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xb)),sz00) = sdtpldt0(xm,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_55124,c_62]) ).
tcf(c_55175,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_61]) ).
tcf(c_55176,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_55124,c_60]) ).
tcf(c_55220,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_5998]) ).
tcf(c_55221,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55126,c_5844]) ).
tcf(c_55222,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_4849]) ).
tcf(c_55223,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_4744]) ).
tcf(c_55224,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_4587]) ).
tcf(c_55225,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_4303]) ).
tcf(c_55226,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_3754]) ).
tcf(c_55227,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_3178]) ).
tcf(c_55228,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_3124]) ).
tcf(c_55229,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_3080]) ).
tcf(c_55230,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_2851]) ).
tcf(c_55231,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_2623]) ).
tcf(c_55232,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_2294]) ).
tcf(c_55233,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_1883]) ).
tcf(c_55234,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_1835]) ).
tcf(c_55235,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),
inference(superposition,[status(thm)],[c_55126,c_1774]) ).
tcf(c_55236,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_5023]) ).
tcf(c_55237,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55126,c_4917]) ).
tcf(c_55238,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_1038]) ).
tcf(c_55239,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_1004]) ).
tcf(c_55240,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_1582]) ).
tcf(c_55241,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55126,c_1264]) ).
tcf(c_55242,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1187]) ).
tcf(c_55243,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1186]) ).
tcf(c_55244,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1185]) ).
tcf(c_55245,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1184]) ).
tcf(c_55246,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1183]) ).
tcf(c_55247,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1182]) ).
tcf(c_55248,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1120]) ).
tcf(c_55249,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1119]) ).
tcf(c_55250,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1118]) ).
tcf(c_55251,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1117]) ).
tcf(c_55252,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1116]) ).
tcf(c_55253,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_1115]) ).
tcf(c_55254,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))) = smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_951]) ).
tcf(c_55255,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),
inference(superposition,[status(thm)],[c_55126,c_937]) ).
tcf(c_55256,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55126,c_69]) ).
tcf(c_55257,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_923]) ).
tcf(c_55258,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55126,c_68]) ).
tcf(c_55259,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55126,c_77]) ).
tcf(c_55260,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55126,c_71]) ).
tcf(c_55261,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55126,c_909]) ).
tcf(c_55262,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55126,c_76]) ).
tcf(c_55263,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xb,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55126,c_70]) ).
tcf(c_55264,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))),sdtpldt0(xm,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_74]) ).
tcf(c_55265,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),smndt0(sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_73]) ).
tcf(c_55266,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xb,xm))) = sdtpldt0(xm,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_55126,c_63]) ).
tcf(c_55267,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xb,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_55126,c_62]) ).
tcf(c_55268,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_61]) ).
tcf(c_55269,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_55126,c_60]) ).
tcf(c_55352,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xp,xq)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4766,c_78]) ).
tcf(c_55353,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_55352,c_56,c_4338]) ).
tcf(c_55354,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))))))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_5998]) ).
tcf(c_55355,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55353,c_5844]) ).
tcf(c_55356,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_4849]) ).
tcf(c_55357,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_4744]) ).
tcf(c_55358,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_4587]) ).
tcf(c_55359,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_4303]) ).
tcf(c_55360,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_3754]) ).
tcf(c_55361,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_3178]) ).
tcf(c_55362,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_3124]) ).
tcf(c_55363,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_3080]) ).
tcf(c_55364,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_2851]) ).
tcf(c_55365,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_2623]) ).
tcf(c_55366,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_2294]) ).
tcf(c_55367,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_1883]) ).
tcf(c_55368,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_1835]) ).
tcf(c_55369,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),
inference(superposition,[status(thm)],[c_55353,c_1774]) ).
tcf(c_55370,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_5023]) ).
tcf(c_55371,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55353,c_4917]) ).
tcf(c_55372,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_1038]) ).
tcf(c_55373,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_1004]) ).
tcf(c_55374,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_1582]) ).
tcf(c_55375,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55353,c_1264]) ).
tcf(c_55376,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1187]) ).
tcf(c_55377,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1186]) ).
tcf(c_55378,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1185]) ).
tcf(c_55379,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1184]) ).
tcf(c_55380,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1183]) ).
tcf(c_55381,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1182]) ).
tcf(c_55382,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1120]) ).
tcf(c_55383,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1119]) ).
tcf(c_55384,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1118]) ).
tcf(c_55385,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1117]) ).
tcf(c_55386,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1116]) ).
tcf(c_55387,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_1115]) ).
tcf(c_55388,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_951]) ).
tcf(c_55389,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),
inference(superposition,[status(thm)],[c_55353,c_937]) ).
tcf(c_55390,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55353,c_69]) ).
tcf(c_55391,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_923]) ).
tcf(c_55392,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55353,c_68]) ).
tcf(c_55393,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55353,c_77]) ).
tcf(c_55394,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55353,c_71]) ).
tcf(c_55395,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_55353,c_909]) ).
tcf(c_55396,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55353,c_76]) ).
tcf(c_55397,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55353,c_70]) ).
tcf(c_55398,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))),sdtpldt0(xm,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_74]) ).
tcf(c_55399,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),smndt0(sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_73]) ).
tcf(c_55400,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xq))) = sdtpldt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_55353,c_63]) ).
tcf(c_55401,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xq)),sz00) = sdtpldt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_55353,c_62]) ).
tcf(c_55402,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_61]) ).
tcf(c_55403,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_55353,c_60]) ).
tcf(c_62883,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_4765,c_78]) ).
tcf(c_62884,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(forward_subsumption_resolution,[status(thm)],[c_62883,c_56,c_4122]) ).
tcf(c_62885,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_5998]) ).
tcf(c_62886,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_62884,c_5844]) ).
tcf(c_62887,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_4849]) ).
tcf(c_62888,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_4744]) ).
tcf(c_62889,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_4587]) ).
tcf(c_62890,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_4303]) ).
tcf(c_62891,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_3754]) ).
tcf(c_62892,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_3178]) ).
tcf(c_62893,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_3124]) ).
tcf(c_62894,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_3080]) ).
tcf(c_62895,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_2851]) ).
tcf(c_62896,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_2623]) ).
tcf(c_62897,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_2294]) ).
tcf(c_62898,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_1883]) ).
tcf(c_62899,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_1835]) ).
tcf(c_62900,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),
inference(superposition,[status(thm)],[c_62884,c_1774]) ).
tcf(c_62901,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_5023]) ).
tcf(c_62902,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_62884,c_4917]) ).
tcf(c_62903,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_1038]) ).
tcf(c_62904,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_1004]) ).
tcf(c_62905,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_1582]) ).
tcf(c_62906,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_62884,c_1264]) ).
tcf(c_62907,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1187]) ).
tcf(c_62908,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1186]) ).
tcf(c_62909,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1185]) ).
tcf(c_62910,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1184]) ).
tcf(c_62911,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1183]) ).
tcf(c_62912,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1182]) ).
tcf(c_62913,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1120]) ).
tcf(c_62914,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1119]) ).
tcf(c_62915,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1118]) ).
tcf(c_62916,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1117]) ).
tcf(c_62917,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1116]) ).
tcf(c_62918,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_1115]) ).
tcf(c_62919,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_951]) ).
tcf(c_62920,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),
inference(superposition,[status(thm)],[c_62884,c_937]) ).
tcf(c_62921,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_62884,c_69]) ).
tcf(c_62922,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_923]) ).
tcf(c_62923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_62884,c_68]) ).
tcf(c_62924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_62884,c_77]) ).
tcf(c_62925,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_62884,c_71]) ).
tcf(c_62926,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_62884,c_909]) ).
tcf(c_62927,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_62884,c_76]) ).
tcf(c_62928,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_62884,c_70]) ).
tcf(c_62929,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))),sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_74]) ).
tcf(c_62930,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_73]) ).
tcf(c_62931,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_62884,c_63]) ).
tcf(c_62932,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),
inference(superposition,[status(thm)],[c_62884,c_62]) ).
tcf(c_62933,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_61]) ).
tcf(c_62934,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_62884,c_60]) ).
tcf(c_63009,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_19219]) ).
tcf(c_63010,plain,
sdtasdt0(sdtpldt0(xb,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63009,c_49]) ).
tcf(c_63013,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xp,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4767,c_78]) ).
tcf(c_63014,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_63013,c_56,c_4414]) ).
tcf(c_63015,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_5998]) ).
tcf(c_63016,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63014,c_5844]) ).
tcf(c_63017,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_4849]) ).
tcf(c_63018,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_4744]) ).
tcf(c_63019,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_4587]) ).
tcf(c_63020,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_4303]) ).
tcf(c_63021,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_3754]) ).
tcf(c_63022,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_3178]) ).
tcf(c_63023,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_3124]) ).
tcf(c_63024,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_3080]) ).
tcf(c_63025,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_2851]) ).
tcf(c_63026,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_2623]) ).
tcf(c_63027,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_2294]) ).
tcf(c_63028,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_1883]) ).
tcf(c_63029,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_1835]) ).
tcf(c_63030,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),
inference(superposition,[status(thm)],[c_63014,c_1774]) ).
tcf(c_63031,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_5023]) ).
tcf(c_63032,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63014,c_4917]) ).
tcf(c_63033,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_1038]) ).
tcf(c_63034,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_1004]) ).
tcf(c_63035,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_1582]) ).
tcf(c_63036,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63014,c_1264]) ).
tcf(c_63037,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1187]) ).
tcf(c_63038,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1186]) ).
tcf(c_63039,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1185]) ).
tcf(c_63040,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1184]) ).
tcf(c_63041,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1183]) ).
tcf(c_63042,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1182]) ).
tcf(c_63043,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1120]) ).
tcf(c_63044,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1119]) ).
tcf(c_63045,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1118]) ).
tcf(c_63046,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1117]) ).
tcf(c_63047,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1116]) ).
tcf(c_63048,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_1115]) ).
tcf(c_63049,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_951]) ).
tcf(c_63050,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),
inference(superposition,[status(thm)],[c_63014,c_937]) ).
tcf(c_63051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63014,c_69]) ).
tcf(c_63052,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_923]) ).
tcf(c_63053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63014,c_68]) ).
tcf(c_63054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63014,c_77]) ).
tcf(c_63055,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63014,c_71]) ).
tcf(c_63056,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63014,c_909]) ).
tcf(c_63057,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63014,c_76]) ).
tcf(c_63058,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xp,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63014,c_70]) ).
tcf(c_63059,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))),sdtpldt0(xm,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_74]) ).
tcf(c_63060,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),smndt0(sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_73]) ).
tcf(c_63061,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xm))) = sdtpldt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_63014,c_63]) ).
tcf(c_63062,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xp,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_63014,c_62]) ).
tcf(c_63063,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_61]) ).
tcf(c_63064,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_63014,c_60]) ).
tcf(c_63127,plain,
( aInteger0(sdtpldt0(xm,sdtpldt0(xq,xm)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_4768,c_78]) ).
tcf(c_63128,plain,
aInteger0(sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_63127,c_56,c_4657]) ).
tcf(c_63131,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))))))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_5998]) ).
tcf(c_63132,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63128,c_5844]) ).
tcf(c_63133,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_4849]) ).
tcf(c_63134,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_4744]) ).
tcf(c_63135,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_4587]) ).
tcf(c_63136,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_4303]) ).
tcf(c_63137,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_3754]) ).
tcf(c_63138,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_3178]) ).
tcf(c_63139,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_3124]) ).
tcf(c_63140,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_3080]) ).
tcf(c_63141,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_2851]) ).
tcf(c_63142,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_2623]) ).
tcf(c_63143,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_2294]) ).
tcf(c_63144,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_1883]) ).
tcf(c_63145,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))))) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_1835]) ).
tcf(c_63146,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),
inference(superposition,[status(thm)],[c_63128,c_1774]) ).
tcf(c_63147,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_5023]) ).
tcf(c_63148,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63128,c_4917]) ).
tcf(c_63149,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_1038]) ).
tcf(c_63150,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_1004]) ).
tcf(c_63151,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_1582]) ).
tcf(c_63152,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63128,c_1264]) ).
tcf(c_63153,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1187]) ).
tcf(c_63154,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1186]) ).
tcf(c_63155,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1185]) ).
tcf(c_63156,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1184]) ).
tcf(c_63157,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1183]) ).
tcf(c_63158,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1182]) ).
tcf(c_63159,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1120]) ).
tcf(c_63160,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1119]) ).
tcf(c_63161,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1118]) ).
tcf(c_63162,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1117]) ).
tcf(c_63163,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1116]) ).
tcf(c_63164,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_1115]) ).
tcf(c_63165,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))) = smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_951]) ).
tcf(c_63166,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),sz00) = smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),
inference(superposition,[status(thm)],[c_63128,c_937]) ).
tcf(c_63167,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63128,c_69]) ).
tcf(c_63168,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_923]) ).
tcf(c_63169,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63128,c_68]) ).
tcf(c_63170,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63128,c_77]) ).
tcf(c_63171,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63128,c_71]) ).
tcf(c_63172,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63128,c_909]) ).
tcf(c_63173,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63128,c_76]) ).
tcf(c_63174,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xq,xm))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63128,c_70]) ).
tcf(c_63175,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))),sdtpldt0(xm,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_74]) ).
tcf(c_63176,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),smndt0(sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_73]) ).
tcf(c_63177,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xm))) = sdtpldt0(xm,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_63128,c_63]) ).
tcf(c_63178,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xq,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_63128,c_62]) ).
tcf(c_63179,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_61]) ).
tcf(c_63180,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_63128,c_60]) ).
tcf(c_63283,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_19402]) ).
tcf(c_63284,plain,
sdtasdt0(sz00,sdtpldt0(xb,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63283,c_51]) ).
tcf(c_63291,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_19403]) ).
tcf(c_63292,plain,
sdtasdt0(sdtpldt0(xb,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63291,c_51]) ).
tcf(c_63325,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_19586]) ).
tcf(c_63326,plain,
sdtasdt0(sz00,sdtpldt0(xb,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63325,c_53]) ).
tcf(c_63333,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_19587]) ).
tcf(c_63334,plain,
sdtasdt0(sdtpldt0(xb,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63333,c_53]) ).
tcf(c_63361,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) != sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_5185,c_1976,c_5185]) ).
tcf(c_63371,plain,
( ( sdtasdt0(sz00,sdtpldt0(xb,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_19876]) ).
tcf(c_63372,plain,
sdtasdt0(sz00,sdtpldt0(xb,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63371,c_56]) ).
tcf(c_63379,plain,
( ( sdtasdt0(sdtpldt0(xb,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_19877]) ).
tcf(c_63380,plain,
sdtasdt0(sdtpldt0(xb,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63379,c_56]) ).
tcf(c_63412,plain,
( ( sdtasdt0(sz00,sdtpldt0(xp,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_20937]) ).
tcf(c_63413,plain,
sdtasdt0(sz00,sdtpldt0(xp,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63412,c_49]) ).
tcf(c_63420,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_20938]) ).
tcf(c_63421,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63420,c_49]) ).
tcf(c_63448,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5192,c_78]) ).
tcf(c_63449,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_63448,c_56,c_5184]) ).
tcf(c_63450,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_5998]) ).
tcf(c_63451,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63449,c_5844]) ).
tcf(c_63452,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_4849]) ).
tcf(c_63453,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_4744]) ).
tcf(c_63454,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_4587]) ).
tcf(c_63455,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_4303]) ).
tcf(c_63456,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_3754]) ).
tcf(c_63457,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_3178]) ).
tcf(c_63458,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_3124]) ).
tcf(c_63459,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_3080]) ).
tcf(c_63460,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_2851]) ).
tcf(c_63461,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_2623]) ).
tcf(c_63462,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_2294]) ).
tcf(c_63463,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_1883]) ).
tcf(c_63464,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_1835]) ).
tcf(c_63465,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63449,c_1774]) ).
tcf(c_63466,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_5023]) ).
tcf(c_63467,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63449,c_4917]) ).
tcf(c_63468,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_1038]) ).
tcf(c_63469,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_1004]) ).
tcf(c_63470,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_1582]) ).
tcf(c_63471,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63449,c_1264]) ).
tcf(c_63472,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1187]) ).
tcf(c_63473,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1186]) ).
tcf(c_63474,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1185]) ).
tcf(c_63475,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1184]) ).
tcf(c_63476,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1183]) ).
tcf(c_63477,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1182]) ).
tcf(c_63478,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1120]) ).
tcf(c_63479,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1119]) ).
tcf(c_63480,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1118]) ).
tcf(c_63481,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1117]) ).
tcf(c_63482,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1116]) ).
tcf(c_63483,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_1115]) ).
tcf(c_63484,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_951]) ).
tcf(c_63485,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63449,c_937]) ).
tcf(c_63486,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63449,c_69]) ).
tcf(c_63487,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_923]) ).
tcf(c_63488,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63449,c_68]) ).
tcf(c_63489,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63449,c_77]) ).
tcf(c_63490,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63449,c_71]) ).
tcf(c_63491,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63449,c_909]) ).
tcf(c_63492,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63449,c_76]) ).
tcf(c_63493,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63449,c_70]) ).
tcf(c_63494,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_74]) ).
tcf(c_63495,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_73]) ).
tcf(c_63496,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63449,c_63]) ).
tcf(c_63497,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63449,c_62]) ).
tcf(c_63498,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_61]) ).
tcf(c_63499,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63449,c_60]) ).
tcf(c_63595,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5193,c_78]) ).
tcf(c_63596,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_63595,c_53,c_5184]) ).
tcf(c_63597,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_5998]) ).
tcf(c_63598,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63596,c_5844]) ).
tcf(c_63599,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_4849]) ).
tcf(c_63600,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_4744]) ).
tcf(c_63601,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_4587]) ).
tcf(c_63602,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_4303]) ).
tcf(c_63603,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_3754]) ).
tcf(c_63604,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_3178]) ).
tcf(c_63605,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_3124]) ).
tcf(c_63606,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_3080]) ).
tcf(c_63607,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_2851]) ).
tcf(c_63608,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_2623]) ).
tcf(c_63609,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_2294]) ).
tcf(c_63610,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_1883]) ).
tcf(c_63611,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_1835]) ).
tcf(c_63612,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63596,c_1774]) ).
tcf(c_63613,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_5023]) ).
tcf(c_63614,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63596,c_4917]) ).
tcf(c_63615,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_1038]) ).
tcf(c_63616,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_1004]) ).
tcf(c_63617,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_1582]) ).
tcf(c_63618,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63596,c_1264]) ).
tcf(c_63619,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1187]) ).
tcf(c_63620,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1186]) ).
tcf(c_63621,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1185]) ).
tcf(c_63622,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1184]) ).
tcf(c_63623,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1183]) ).
tcf(c_63624,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1182]) ).
tcf(c_63625,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1120]) ).
tcf(c_63626,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1119]) ).
tcf(c_63627,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1118]) ).
tcf(c_63628,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1117]) ).
tcf(c_63629,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1116]) ).
tcf(c_63630,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_1115]) ).
tcf(c_63631,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_951]) ).
tcf(c_63632,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63596,c_937]) ).
tcf(c_63633,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63596,c_69]) ).
tcf(c_63634,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_923]) ).
tcf(c_63635,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63596,c_68]) ).
tcf(c_63636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63596,c_77]) ).
tcf(c_63637,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63596,c_71]) ).
tcf(c_63638,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63596,c_909]) ).
tcf(c_63639,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63596,c_76]) ).
tcf(c_63640,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63596,c_70]) ).
tcf(c_63641,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_74]) ).
tcf(c_63642,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_73]) ).
tcf(c_63643,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63596,c_63]) ).
tcf(c_63644,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63596,c_62]) ).
tcf(c_63645,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_61]) ).
tcf(c_63646,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63596,c_60]) ).
tcf(c_63766,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5194,c_78]) ).
tcf(c_63767,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_63766,c_51,c_5184]) ).
tcf(c_63768,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_5998]) ).
tcf(c_63769,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63767,c_5844]) ).
tcf(c_63770,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_4849]) ).
tcf(c_63771,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_4744]) ).
tcf(c_63772,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_4587]) ).
tcf(c_63773,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_4303]) ).
tcf(c_63774,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_3754]) ).
tcf(c_63775,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_3178]) ).
tcf(c_63776,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_3124]) ).
tcf(c_63777,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_3080]) ).
tcf(c_63778,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_2851]) ).
tcf(c_63779,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_2623]) ).
tcf(c_63780,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_2294]) ).
tcf(c_63781,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_1883]) ).
tcf(c_63782,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_1835]) ).
tcf(c_63783,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63767,c_1774]) ).
tcf(c_63784,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_5023]) ).
tcf(c_63785,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63767,c_4917]) ).
tcf(c_63786,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_1038]) ).
tcf(c_63787,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_1004]) ).
tcf(c_63788,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_1582]) ).
tcf(c_63789,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63767,c_1264]) ).
tcf(c_63790,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1187]) ).
tcf(c_63791,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1186]) ).
tcf(c_63792,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1185]) ).
tcf(c_63793,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1184]) ).
tcf(c_63794,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1183]) ).
tcf(c_63795,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1182]) ).
tcf(c_63796,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1120]) ).
tcf(c_63797,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1119]) ).
tcf(c_63798,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1118]) ).
tcf(c_63799,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1117]) ).
tcf(c_63800,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1116]) ).
tcf(c_63801,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_1115]) ).
tcf(c_63802,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_951]) ).
tcf(c_63803,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63767,c_937]) ).
tcf(c_63804,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63767,c_69]) ).
tcf(c_63805,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_923]) ).
tcf(c_63806,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63767,c_68]) ).
tcf(c_63807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63767,c_77]) ).
tcf(c_63808,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63767,c_71]) ).
tcf(c_63809,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63767,c_909]) ).
tcf(c_63810,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63767,c_76]) ).
tcf(c_63811,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63767,c_70]) ).
tcf(c_63812,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_74]) ).
tcf(c_63813,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_73]) ).
tcf(c_63814,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63767,c_63]) ).
tcf(c_63815,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63767,c_62]) ).
tcf(c_63816,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_61]) ).
tcf(c_63817,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63767,c_60]) ).
tcf(c_63892,plain,
( ( sdtasdt0(sz00,sdtpldt0(xp,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_21169]) ).
tcf(c_63893,plain,
sdtasdt0(sz00,sdtpldt0(xp,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_63892,c_53]) ).
tcf(c_63918,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5195,c_78]) ).
tcf(c_63919,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_63918,c_50,c_5184]) ).
tcf(c_63920,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_5998]) ).
tcf(c_63921,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63919,c_5844]) ).
tcf(c_63922,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_4849]) ).
tcf(c_63923,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_4744]) ).
tcf(c_63924,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_4587]) ).
tcf(c_63925,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_4303]) ).
tcf(c_63926,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_3754]) ).
tcf(c_63927,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_3178]) ).
tcf(c_63928,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_3124]) ).
tcf(c_63929,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_3080]) ).
tcf(c_63930,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_2851]) ).
tcf(c_63931,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_2623]) ).
tcf(c_63932,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_2294]) ).
tcf(c_63933,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_1883]) ).
tcf(c_63934,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_1835]) ).
tcf(c_63935,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_63919,c_1774]) ).
tcf(c_63936,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_5023]) ).
tcf(c_63937,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63919,c_4917]) ).
tcf(c_63938,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_1038]) ).
tcf(c_63939,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_1004]) ).
tcf(c_63940,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_1582]) ).
tcf(c_63941,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63919,c_1264]) ).
tcf(c_63942,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1187]) ).
tcf(c_63943,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1186]) ).
tcf(c_63944,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1185]) ).
tcf(c_63945,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1184]) ).
tcf(c_63946,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1183]) ).
tcf(c_63947,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1182]) ).
tcf(c_63948,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1120]) ).
tcf(c_63949,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1119]) ).
tcf(c_63950,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1118]) ).
tcf(c_63951,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1117]) ).
tcf(c_63952,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1116]) ).
tcf(c_63953,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_1115]) ).
tcf(c_63954,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_951]) ).
tcf(c_63955,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_63919,c_937]) ).
tcf(c_63956,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63919,c_69]) ).
tcf(c_63957,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_923]) ).
tcf(c_63958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63919,c_68]) ).
tcf(c_63959,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63919,c_77]) ).
tcf(c_63960,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63919,c_71]) ).
tcf(c_63961,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63919,c_909]) ).
tcf(c_63962,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63919,c_76]) ).
tcf(c_63963,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63919,c_70]) ).
tcf(c_63964,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_74]) ).
tcf(c_63965,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_73]) ).
tcf(c_63966,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63919,c_63]) ).
tcf(c_63967,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_63919,c_62]) ).
tcf(c_63968,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_61]) ).
tcf(c_63969,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_63919,c_60]) ).
tcf(c_64068,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_21170]) ).
tcf(c_64069,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64068,c_53]) ).
tcf(c_64094,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5196,c_78]) ).
tcf(c_64095,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_64094,c_49,c_5184]) ).
tcf(c_64096,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_5998]) ).
tcf(c_64097,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64095,c_5844]) ).
tcf(c_64098,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_4849]) ).
tcf(c_64099,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_4744]) ).
tcf(c_64100,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_4587]) ).
tcf(c_64101,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_4303]) ).
tcf(c_64102,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_3754]) ).
tcf(c_64103,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_3178]) ).
tcf(c_64104,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_3124]) ).
tcf(c_64105,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_3080]) ).
tcf(c_64106,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_2851]) ).
tcf(c_64107,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_2623]) ).
tcf(c_64108,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_2294]) ).
tcf(c_64109,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_1883]) ).
tcf(c_64110,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_1835]) ).
tcf(c_64111,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64095,c_1774]) ).
tcf(c_64112,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_5023]) ).
tcf(c_64113,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64095,c_4917]) ).
tcf(c_64114,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_1038]) ).
tcf(c_64115,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_1004]) ).
tcf(c_64116,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_1582]) ).
tcf(c_64117,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64095,c_1264]) ).
tcf(c_64118,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1187]) ).
tcf(c_64119,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1186]) ).
tcf(c_64120,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1185]) ).
tcf(c_64121,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1184]) ).
tcf(c_64122,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1183]) ).
tcf(c_64123,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1182]) ).
tcf(c_64124,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1120]) ).
tcf(c_64125,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1119]) ).
tcf(c_64126,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1118]) ).
tcf(c_64127,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1117]) ).
tcf(c_64128,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1116]) ).
tcf(c_64129,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_1115]) ).
tcf(c_64130,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_951]) ).
tcf(c_64131,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64095,c_937]) ).
tcf(c_64132,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64095,c_69]) ).
tcf(c_64133,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_923]) ).
tcf(c_64134,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64095,c_68]) ).
tcf(c_64135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64095,c_77]) ).
tcf(c_64136,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64095,c_71]) ).
tcf(c_64137,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64095,c_909]) ).
tcf(c_64138,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64095,c_76]) ).
tcf(c_64139,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64095,c_70]) ).
tcf(c_64140,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_74]) ).
tcf(c_64141,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_73]) ).
tcf(c_64142,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64095,c_63]) ).
tcf(c_64143,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64095,c_62]) ).
tcf(c_64144,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_61]) ).
tcf(c_64145,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64095,c_60]) ).
tcf(c_64197,plain,
( ( sdtasdt0(sz00,sdtpldt0(xp,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_21326]) ).
tcf(c_64198,plain,
sdtasdt0(sz00,sdtpldt0(xp,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64197,c_56]) ).
tcf(c_64228,plain,
( ( sdtasdt0(sdtpldt0(xp,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_21327]) ).
tcf(c_64229,plain,
sdtasdt0(sdtpldt0(xp,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64228,c_56]) ).
tcf(c_64236,plain,
( ( sdtasdt0(sz00,sdtpldt0(xq,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_24153]) ).
tcf(c_64237,plain,
sdtasdt0(sz00,sdtpldt0(xq,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64236,c_49]) ).
tcf(c_64264,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa)))
| ( sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5198,c_59]) ).
tcf(c_64265,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5198,c_72]) ).
tcf(c_64266,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_64265,c_56,c_5184]) ).
tcf(c_64267,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64264,c_56,c_5184]) ).
tcf(c_64271,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_5998]) ).
tcf(c_64272,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64266,c_5844]) ).
tcf(c_64273,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_4849]) ).
tcf(c_64274,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_4744]) ).
tcf(c_64275,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_4587]) ).
tcf(c_64276,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_4303]) ).
tcf(c_64277,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_3754]) ).
tcf(c_64278,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_3178]) ).
tcf(c_64279,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_3124]) ).
tcf(c_64280,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_3080]) ).
tcf(c_64281,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_2851]) ).
tcf(c_64282,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_2623]) ).
tcf(c_64283,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_2294]) ).
tcf(c_64284,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_1883]) ).
tcf(c_64285,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_1835]) ).
tcf(c_64286,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64266,c_1774]) ).
tcf(c_64287,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_5023]) ).
tcf(c_64288,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64266,c_4917]) ).
tcf(c_64289,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_1038]) ).
tcf(c_64290,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_1004]) ).
tcf(c_64291,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_1582]) ).
tcf(c_64292,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64266,c_1264]) ).
tcf(c_64293,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1187]) ).
tcf(c_64294,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1186]) ).
tcf(c_64295,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1185]) ).
tcf(c_64296,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1184]) ).
tcf(c_64297,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1183]) ).
tcf(c_64298,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1182]) ).
tcf(c_64299,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1120]) ).
tcf(c_64300,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1119]) ).
tcf(c_64301,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1118]) ).
tcf(c_64302,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1117]) ).
tcf(c_64303,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1116]) ).
tcf(c_64304,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_1115]) ).
tcf(c_64305,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_951]) ).
tcf(c_64306,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64266,c_937]) ).
tcf(c_64307,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64266,c_69]) ).
tcf(c_64308,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_923]) ).
tcf(c_64309,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64266,c_68]) ).
tcf(c_64310,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64266,c_77]) ).
tcf(c_64311,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64266,c_71]) ).
tcf(c_64312,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64266,c_909]) ).
tcf(c_64313,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64266,c_76]) ).
tcf(c_64314,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64266,c_70]) ).
tcf(c_64315,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_74]) ).
tcf(c_64316,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_73]) ).
tcf(c_64317,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64266,c_63]) ).
tcf(c_64318,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64266,c_62]) ).
tcf(c_64319,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_61]) ).
tcf(c_64320,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64266,c_60]) ).
tcf(c_64395,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_24154]) ).
tcf(c_64396,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64395,c_49]) ).
tcf(c_64421,plain,
( ( sz00 = xq )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa)))
| ( sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5199,c_59]) ).
tcf(c_64422,plain,
( aInteger0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5199,c_72]) ).
tcf(c_64423,plain,
aInteger0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_64422,c_53,c_5184]) ).
tcf(c_64424,plain,
( ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ( sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64421,c_54,c_53,c_5184]) ).
tcf(c_64427,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_5998]) ).
tcf(c_64428,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64423,c_5844]) ).
tcf(c_64429,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_4849]) ).
tcf(c_64430,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_4744]) ).
tcf(c_64431,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_4587]) ).
tcf(c_64432,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_4303]) ).
tcf(c_64433,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_3754]) ).
tcf(c_64434,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_3178]) ).
tcf(c_64435,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_3124]) ).
tcf(c_64436,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_3080]) ).
tcf(c_64437,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_2851]) ).
tcf(c_64438,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_2623]) ).
tcf(c_64439,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_2294]) ).
tcf(c_64440,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_1883]) ).
tcf(c_64441,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_1835]) ).
tcf(c_64442,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64423,c_1774]) ).
tcf(c_64443,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_5023]) ).
tcf(c_64444,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64423,c_4917]) ).
tcf(c_64445,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_1038]) ).
tcf(c_64446,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_1004]) ).
tcf(c_64447,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_1582]) ).
tcf(c_64448,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64423,c_1264]) ).
tcf(c_64449,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1187]) ).
tcf(c_64450,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1186]) ).
tcf(c_64451,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1185]) ).
tcf(c_64452,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1184]) ).
tcf(c_64453,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1183]) ).
tcf(c_64454,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1182]) ).
tcf(c_64455,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1120]) ).
tcf(c_64456,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1119]) ).
tcf(c_64457,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1118]) ).
tcf(c_64458,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1117]) ).
tcf(c_64459,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1116]) ).
tcf(c_64460,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_1115]) ).
tcf(c_64461,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_951]) ).
tcf(c_64462,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64423,c_937]) ).
tcf(c_64463,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64423,c_69]) ).
tcf(c_64464,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_923]) ).
tcf(c_64465,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64423,c_68]) ).
tcf(c_64466,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64423,c_77]) ).
tcf(c_64467,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64423,c_71]) ).
tcf(c_64468,plain,
sdtasdt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64423,c_909]) ).
tcf(c_64469,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64423,c_76]) ).
tcf(c_64470,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64423,c_70]) ).
tcf(c_64471,plain,
sdtpldt0(smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_74]) ).
tcf(c_64472,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_73]) ).
tcf(c_64473,plain,
sdtpldt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64423,c_63]) ).
tcf(c_64474,plain,
sdtpldt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64423,c_62]) ).
tcf(c_64475,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_61]) ).
tcf(c_64476,plain,
sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64423,c_60]) ).
tcf(c_64596,plain,
( ( xp = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa)))
| ( sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5200,c_59]) ).
tcf(c_64597,plain,
( aInteger0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5200,c_72]) ).
tcf(c_64598,plain,
aInteger0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_64597,c_51,c_5184]) ).
tcf(c_64599,plain,
( ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ( sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64596,c_52,c_51,c_5184]) ).
tcf(c_64602,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_5998]) ).
tcf(c_64603,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64598,c_5844]) ).
tcf(c_64604,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_4849]) ).
tcf(c_64605,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_4744]) ).
tcf(c_64606,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_4587]) ).
tcf(c_64607,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_4303]) ).
tcf(c_64608,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_3754]) ).
tcf(c_64609,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_3178]) ).
tcf(c_64610,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_3124]) ).
tcf(c_64611,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_3080]) ).
tcf(c_64612,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_2851]) ).
tcf(c_64613,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_2623]) ).
tcf(c_64614,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_2294]) ).
tcf(c_64615,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_1883]) ).
tcf(c_64616,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_1835]) ).
tcf(c_64617,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64598,c_1774]) ).
tcf(c_64618,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_5023]) ).
tcf(c_64619,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64598,c_4917]) ).
tcf(c_64620,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_1038]) ).
tcf(c_64621,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_1004]) ).
tcf(c_64622,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_1582]) ).
tcf(c_64623,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64598,c_1264]) ).
tcf(c_64624,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1187]) ).
tcf(c_64625,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1186]) ).
tcf(c_64626,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1185]) ).
tcf(c_64627,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1184]) ).
tcf(c_64628,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1183]) ).
tcf(c_64629,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1182]) ).
tcf(c_64630,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1120]) ).
tcf(c_64631,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1119]) ).
tcf(c_64632,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1118]) ).
tcf(c_64633,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1117]) ).
tcf(c_64634,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1116]) ).
tcf(c_64635,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_1115]) ).
tcf(c_64636,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_951]) ).
tcf(c_64637,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64598,c_937]) ).
tcf(c_64638,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64598,c_69]) ).
tcf(c_64639,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_923]) ).
tcf(c_64640,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64598,c_68]) ).
tcf(c_64641,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64598,c_77]) ).
tcf(c_64642,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64598,c_71]) ).
tcf(c_64643,plain,
sdtasdt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64598,c_909]) ).
tcf(c_64644,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64598,c_76]) ).
tcf(c_64645,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64598,c_70]) ).
tcf(c_64646,plain,
sdtpldt0(smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_74]) ).
tcf(c_64647,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_73]) ).
tcf(c_64648,plain,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64598,c_63]) ).
tcf(c_64649,plain,
sdtpldt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64598,c_62]) ).
tcf(c_64650,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_61]) ).
tcf(c_64651,plain,
sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64598,c_60]) ).
tcf(c_64747,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa)))
| ( sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5201,c_59]) ).
tcf(c_64748,plain,
( aInteger0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5201,c_72]) ).
tcf(c_64749,plain,
aInteger0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_64748,c_50,c_5184]) ).
tcf(c_64750,plain,
( ( xb = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ( sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64747,c_50,c_5184]) ).
tcf(c_64754,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_5998]) ).
tcf(c_64755,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64749,c_5844]) ).
tcf(c_64756,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_4849]) ).
tcf(c_64757,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_4744]) ).
tcf(c_64758,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_4587]) ).
tcf(c_64759,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_4303]) ).
tcf(c_64760,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_3754]) ).
tcf(c_64761,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_3178]) ).
tcf(c_64762,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_3124]) ).
tcf(c_64763,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_3080]) ).
tcf(c_64764,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_2851]) ).
tcf(c_64765,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_2623]) ).
tcf(c_64766,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_2294]) ).
tcf(c_64767,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_1883]) ).
tcf(c_64768,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_1835]) ).
tcf(c_64769,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64749,c_1774]) ).
tcf(c_64770,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_5023]) ).
tcf(c_64771,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64749,c_4917]) ).
tcf(c_64772,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_1038]) ).
tcf(c_64773,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_1004]) ).
tcf(c_64774,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_1582]) ).
tcf(c_64775,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64749,c_1264]) ).
tcf(c_64776,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1187]) ).
tcf(c_64777,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1186]) ).
tcf(c_64778,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1185]) ).
tcf(c_64779,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1184]) ).
tcf(c_64780,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1183]) ).
tcf(c_64781,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1182]) ).
tcf(c_64782,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1120]) ).
tcf(c_64783,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1119]) ).
tcf(c_64784,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1118]) ).
tcf(c_64785,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1117]) ).
tcf(c_64786,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1116]) ).
tcf(c_64787,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_1115]) ).
tcf(c_64788,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_951]) ).
tcf(c_64789,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64749,c_937]) ).
tcf(c_64790,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64749,c_69]) ).
tcf(c_64791,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_923]) ).
tcf(c_64792,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64749,c_68]) ).
tcf(c_64793,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64749,c_77]) ).
tcf(c_64794,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64749,c_71]) ).
tcf(c_64795,plain,
sdtasdt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64749,c_909]) ).
tcf(c_64796,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64749,c_76]) ).
tcf(c_64797,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64749,c_70]) ).
tcf(c_64798,plain,
sdtpldt0(smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_74]) ).
tcf(c_64799,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_73]) ).
tcf(c_64800,plain,
sdtpldt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64749,c_63]) ).
tcf(c_64801,plain,
sdtpldt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64749,c_62]) ).
tcf(c_64802,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_61]) ).
tcf(c_64803,plain,
sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64749,c_60]) ).
tcf(c_64912,plain,
( ( sdtasdt0(sz00,sdtpldt0(xq,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_24517]) ).
tcf(c_64913,plain,
sdtasdt0(sz00,sdtpldt0(xq,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64912,c_51]) ).
tcf(c_64938,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa)))
| ( sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5202,c_59]) ).
tcf(c_64939,plain,
( aInteger0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_5202,c_72]) ).
tcf(c_64940,plain,
aInteger0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_64939,c_49,c_5184]) ).
tcf(c_64941,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xp,xa)) = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64938,c_49,c_5184]) ).
tcf(c_64945,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_5998]) ).
tcf(c_64946,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64940,c_5844]) ).
tcf(c_64947,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_4849]) ).
tcf(c_64948,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_4744]) ).
tcf(c_64949,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_4587]) ).
tcf(c_64950,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_4303]) ).
tcf(c_64951,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_3754]) ).
tcf(c_64952,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_3178]) ).
tcf(c_64953,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_3124]) ).
tcf(c_64954,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_3080]) ).
tcf(c_64955,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_2851]) ).
tcf(c_64956,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_2623]) ).
tcf(c_64957,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_2294]) ).
tcf(c_64958,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_1883]) ).
tcf(c_64959,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_1835]) ).
tcf(c_64960,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),
inference(superposition,[status(thm)],[c_64940,c_1774]) ).
tcf(c_64961,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_5023]) ).
tcf(c_64962,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64940,c_4917]) ).
tcf(c_64963,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_1038]) ).
tcf(c_64964,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_1004]) ).
tcf(c_64965,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_1582]) ).
tcf(c_64966,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64940,c_1264]) ).
tcf(c_64967,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1187]) ).
tcf(c_64968,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1186]) ).
tcf(c_64969,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1185]) ).
tcf(c_64970,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1184]) ).
tcf(c_64971,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1183]) ).
tcf(c_64972,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1182]) ).
tcf(c_64973,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1120]) ).
tcf(c_64974,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xm) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1119]) ).
tcf(c_64975,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xq) = sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1118]) ).
tcf(c_64976,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xp) = sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1117]) ).
tcf(c_64977,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xb) = sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1116]) ).
tcf(c_64978,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),xa) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_1115]) ).
tcf(c_64979,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_951]) ).
tcf(c_64980,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),
inference(superposition,[status(thm)],[c_64940,c_937]) ).
tcf(c_64981,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64940,c_69]) ).
tcf(c_64982,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_923]) ).
tcf(c_64983,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64940,c_68]) ).
tcf(c_64984,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64940,c_77]) ).
tcf(c_64985,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0),X1) = sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64940,c_71]) ).
tcf(c_64986,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64940,c_909]) ).
tcf(c_64987,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtpldt0(X0,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64940,c_76]) ).
tcf(c_64988,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0) = sdtasdt0(X0,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64940,c_70]) ).
tcf(c_64989,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))),sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_74]) ).
tcf(c_64990,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_73]) ).
tcf(c_64991,plain,
sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64940,c_63]) ).
tcf(c_64992,plain,
sdtpldt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),
inference(superposition,[status(thm)],[c_64940,c_62]) ).
tcf(c_64993,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_61]) ).
tcf(c_64994,plain,
sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_64940,c_60]) ).
tcf(c_65070,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_24518]) ).
tcf(c_65071,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65070,c_51]) ).
tcf(c_65101,plain,
( ( sdtasdt0(sz00,sdtpldt0(xq,smndt0(xm))) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_24709]) ).
tcf(c_65102,plain,
sdtasdt0(sz00,sdtpldt0(xq,smndt0(xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65101,c_56]) ).
tcf(c_65109,plain,
( ( sdtasdt0(sdtpldt0(xq,smndt0(xm)),sz00) = sz00 )
| ~ aInteger0(xm) ),
inference(superposition,[status(thm)],[c_75,c_24710]) ).
tcf(c_65110,plain,
sdtasdt0(sdtpldt0(xq,smndt0(xm)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65109,c_56]) ).
tcf(c_65142,plain,
( ( sdtasdt0(sz00,sdtpldt0(xm,smndt0(xa))) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_26555]) ).
tcf(c_65143,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xa))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65142,c_49]) ).
tcf(c_65150,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xa)),sz00) = sz00 )
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_75,c_26556]) ).
tcf(c_65151,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xa)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65150,c_49]) ).
tcf(c_65185,plain,
( ( sdtasdt0(sz00,sdtpldt0(xm,smndt0(xp))) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_26851]) ).
tcf(c_65186,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65185,c_51]) ).
tcf(c_65218,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xp)),sz00) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_75,c_26852]) ).
tcf(c_65219,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65218,c_51]) ).
tcf(c_65226,plain,
( ( sdtasdt0(sz00,sdtpldt0(xm,smndt0(xq))) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_27204]) ).
tcf(c_65227,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65226,c_53]) ).
tcf(c_65259,plain,
( ( sdtasdt0(sdtpldt0(xm,smndt0(xq)),sz00) = sz00 )
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_75,c_27205]) ).
tcf(c_65260,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65259,c_53]) ).
tcf(c_65324,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sdtasdt0(xq,xa)) != sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_5335,c_49,c_2091,c_2092,c_3276]) ).
tcf(c_65395,plain,
( aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_5342,c_78]) ).
tcf(c_65396,plain,
aInteger0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_65395,c_56,c_5334]) ).
tcf(c_65397,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_5998]) ).
tcf(c_65398,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65396,c_5844]) ).
tcf(c_65399,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_4849]) ).
tcf(c_65400,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_4744]) ).
tcf(c_65401,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_4587]) ).
tcf(c_65402,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_4303]) ).
tcf(c_65403,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_3754]) ).
tcf(c_65404,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_3178]) ).
tcf(c_65405,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_3124]) ).
tcf(c_65406,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_3080]) ).
tcf(c_65407,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_2851]) ).
tcf(c_65408,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_2623]) ).
tcf(c_65409,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_2294]) ).
tcf(c_65410,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_1883]) ).
tcf(c_65411,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_1835]) ).
tcf(c_65412,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65396,c_1774]) ).
tcf(c_65413,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_5023]) ).
tcf(c_65414,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65396,c_4917]) ).
tcf(c_65415,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_1038]) ).
tcf(c_65416,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_1004]) ).
tcf(c_65417,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_1582]) ).
tcf(c_65418,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65396,c_1264]) ).
tcf(c_65419,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1187]) ).
tcf(c_65420,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1186]) ).
tcf(c_65421,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1185]) ).
tcf(c_65422,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1184]) ).
tcf(c_65423,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1183]) ).
tcf(c_65424,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1182]) ).
tcf(c_65425,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1120]) ).
tcf(c_65426,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1119]) ).
tcf(c_65427,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1118]) ).
tcf(c_65428,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1117]) ).
tcf(c_65429,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1116]) ).
tcf(c_65430,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_1115]) ).
tcf(c_65431,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_951]) ).
tcf(c_65432,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65396,c_937]) ).
tcf(c_65433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65396,c_69]) ).
tcf(c_65434,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_923]) ).
tcf(c_65435,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65396,c_68]) ).
tcf(c_65436,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65396,c_77]) ).
tcf(c_65437,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65396,c_71]) ).
tcf(c_65438,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65396,c_909]) ).
tcf(c_65439,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65396,c_76]) ).
tcf(c_65440,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65396,c_70]) ).
tcf(c_65441,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_74]) ).
tcf(c_65442,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_73]) ).
tcf(c_65443,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65396,c_63]) ).
tcf(c_65444,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65396,c_62]) ).
tcf(c_65445,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_61]) ).
tcf(c_65446,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65396,c_60]) ).
tcf(c_65543,plain,
( aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))
| ~ aInteger0(xq)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_5343,c_78]) ).
tcf(c_65544,plain,
aInteger0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_65543,c_53,c_5334]) ).
tcf(c_65545,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_5998]) ).
tcf(c_65546,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65544,c_5844]) ).
tcf(c_65547,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_4849]) ).
tcf(c_65548,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_4744]) ).
tcf(c_65549,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_4587]) ).
tcf(c_65550,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_4303]) ).
tcf(c_65551,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_3754]) ).
tcf(c_65552,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_3178]) ).
tcf(c_65553,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_3124]) ).
tcf(c_65554,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_3080]) ).
tcf(c_65555,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_2851]) ).
tcf(c_65556,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_2623]) ).
tcf(c_65557,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_2294]) ).
tcf(c_65558,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_1883]) ).
tcf(c_65559,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_1835]) ).
tcf(c_65560,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65544,c_1774]) ).
tcf(c_65561,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_5023]) ).
tcf(c_65562,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65544,c_4917]) ).
tcf(c_65563,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_1038]) ).
tcf(c_65564,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_1004]) ).
tcf(c_65565,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_1582]) ).
tcf(c_65566,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65544,c_1264]) ).
tcf(c_65567,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1187]) ).
tcf(c_65568,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1186]) ).
tcf(c_65569,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1185]) ).
tcf(c_65570,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1184]) ).
tcf(c_65571,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1183]) ).
tcf(c_65572,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1182]) ).
tcf(c_65573,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1120]) ).
tcf(c_65574,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1119]) ).
tcf(c_65575,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1118]) ).
tcf(c_65576,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1117]) ).
tcf(c_65577,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1116]) ).
tcf(c_65578,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_1115]) ).
tcf(c_65579,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_951]) ).
tcf(c_65580,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65544,c_937]) ).
tcf(c_65581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65544,c_69]) ).
tcf(c_65582,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_923]) ).
tcf(c_65583,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X1)) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65544,c_68]) ).
tcf(c_65584,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65544,c_77]) ).
tcf(c_65585,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65544,c_71]) ).
tcf(c_65586,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65544,c_909]) ).
tcf(c_65587,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtpldt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65544,c_76]) ).
tcf(c_65588,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtasdt0(X0,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65544,c_70]) ).
tcf(c_65589,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))),sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_74]) ).
tcf(c_65590,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_73]) ).
tcf(c_65591,plain,
sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65544,c_63]) ).
tcf(c_65592,plain,
sdtpldt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65544,c_62]) ).
tcf(c_65593,plain,
sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_61]) ).
tcf(c_65594,plain,
sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65544,c_60]) ).
tcf(c_65729,plain,
( aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_5344,c_78]) ).
tcf(c_65730,plain,
aInteger0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_65729,c_51,c_5334]) ).
tcf(c_65731,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_5998]) ).
tcf(c_65732,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65730,c_5844]) ).
tcf(c_65733,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_4849]) ).
tcf(c_65734,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_4744]) ).
tcf(c_65735,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_4587]) ).
tcf(c_65736,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_4303]) ).
tcf(c_65737,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_3754]) ).
tcf(c_65738,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_3178]) ).
tcf(c_65739,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_3124]) ).
tcf(c_65740,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_3080]) ).
tcf(c_65741,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_2851]) ).
tcf(c_65742,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_2623]) ).
tcf(c_65743,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_2294]) ).
tcf(c_65744,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_1883]) ).
tcf(c_65745,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_1835]) ).
tcf(c_65746,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65730,c_1774]) ).
tcf(c_65747,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_5023]) ).
tcf(c_65748,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65730,c_4917]) ).
tcf(c_65749,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_1038]) ).
tcf(c_65750,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_1004]) ).
tcf(c_65751,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_1582]) ).
tcf(c_65752,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65730,c_1264]) ).
tcf(c_65753,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1187]) ).
tcf(c_65754,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1186]) ).
tcf(c_65755,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1185]) ).
tcf(c_65756,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1184]) ).
tcf(c_65757,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1183]) ).
tcf(c_65758,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1182]) ).
tcf(c_65759,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1120]) ).
tcf(c_65760,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1119]) ).
tcf(c_65761,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1118]) ).
tcf(c_65762,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1117]) ).
tcf(c_65763,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1116]) ).
tcf(c_65764,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_1115]) ).
tcf(c_65765,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_951]) ).
tcf(c_65766,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65730,c_937]) ).
tcf(c_65767,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65730,c_69]) ).
tcf(c_65768,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_923]) ).
tcf(c_65769,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X1)) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65730,c_68]) ).
tcf(c_65770,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65730,c_77]) ).
tcf(c_65771,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65730,c_71]) ).
tcf(c_65772,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65730,c_909]) ).
tcf(c_65773,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtpldt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65730,c_76]) ).
tcf(c_65774,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtasdt0(X0,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65730,c_70]) ).
tcf(c_65775,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))),sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_74]) ).
tcf(c_65776,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_73]) ).
tcf(c_65777,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65730,c_63]) ).
tcf(c_65778,plain,
sdtpldt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65730,c_62]) ).
tcf(c_65779,plain,
sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_61]) ).
tcf(c_65780,plain,
sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65730,c_60]) ).
tcf(c_65877,plain,
( aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))
| ~ aInteger0(xb)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_5345,c_78]) ).
tcf(c_65878,plain,
aInteger0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_65877,c_50,c_5334]) ).
tcf(c_65879,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_5998]) ).
tcf(c_65880,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65878,c_5844]) ).
tcf(c_65881,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_4849]) ).
tcf(c_65882,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_4744]) ).
tcf(c_65883,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_4587]) ).
tcf(c_65884,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_4303]) ).
tcf(c_65885,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_3754]) ).
tcf(c_65886,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_3178]) ).
tcf(c_65887,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_3124]) ).
tcf(c_65888,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_3080]) ).
tcf(c_65889,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_2851]) ).
tcf(c_65890,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_2623]) ).
tcf(c_65891,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_2294]) ).
tcf(c_65892,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_1883]) ).
tcf(c_65893,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_1835]) ).
tcf(c_65894,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_65878,c_1774]) ).
tcf(c_65895,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_5023]) ).
tcf(c_65896,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65878,c_4917]) ).
tcf(c_65897,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_1038]) ).
tcf(c_65898,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_1004]) ).
tcf(c_65899,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_1582]) ).
tcf(c_65900,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65878,c_1264]) ).
tcf(c_65901,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1187]) ).
tcf(c_65902,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1186]) ).
tcf(c_65903,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1185]) ).
tcf(c_65904,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1184]) ).
tcf(c_65905,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1183]) ).
tcf(c_65906,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1182]) ).
tcf(c_65907,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1120]) ).
tcf(c_65908,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1119]) ).
tcf(c_65909,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1118]) ).
tcf(c_65910,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1117]) ).
tcf(c_65911,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1116]) ).
tcf(c_65912,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_1115]) ).
tcf(c_65913,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_951]) ).
tcf(c_65914,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_65878,c_937]) ).
tcf(c_65915,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65878,c_69]) ).
tcf(c_65916,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_923]) ).
tcf(c_65917,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X1)) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65878,c_68]) ).
tcf(c_65918,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65878,c_77]) ).
tcf(c_65919,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65878,c_71]) ).
tcf(c_65920,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65878,c_909]) ).
tcf(c_65921,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtpldt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65878,c_76]) ).
tcf(c_65922,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtasdt0(X0,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65878,c_70]) ).
tcf(c_65923,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))),sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_74]) ).
tcf(c_65924,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_73]) ).
tcf(c_65925,plain,
sdtpldt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65878,c_63]) ).
tcf(c_65926,plain,
sdtpldt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_65878,c_62]) ).
tcf(c_65927,plain,
sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_61]) ).
tcf(c_65928,plain,
sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_65878,c_60]) ).
tcf(c_66038,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_5346,c_78]) ).
tcf(c_66039,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_66038,c_49,c_5334]) ).
tcf(c_66040,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_5998]) ).
tcf(c_66041,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_66039,c_5844]) ).
tcf(c_66042,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_4849]) ).
tcf(c_66043,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtpldt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_4744]) ).
tcf(c_66044,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtpldt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_4587]) ).
tcf(c_66045,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtpldt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_4303]) ).
tcf(c_66046,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtpldt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_3754]) ).
tcf(c_66047,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtpldt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_3178]) ).
tcf(c_66048,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_3124]) ).
tcf(c_66049,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtasdt0(xm,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_3080]) ).
tcf(c_66050,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtasdt0(xq,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_2851]) ).
tcf(c_66051,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtasdt0(xp,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_2623]) ).
tcf(c_66052,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_2294]) ).
tcf(c_66053,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_1883]) ).
tcf(c_66054,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_1835]) ).
tcf(c_66055,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_66039,c_1774]) ).
tcf(c_66056,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_5023]) ).
tcf(c_66057,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_66039,c_4917]) ).
tcf(c_66058,plain,
sdtpldt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_1038]) ).
tcf(c_66059,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_1004]) ).
tcf(c_66060,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_1582]) ).
tcf(c_66061,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_66039,c_1264]) ).
tcf(c_66062,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1187]) ).
tcf(c_66063,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1186]) ).
tcf(c_66064,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1185]) ).
tcf(c_66065,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1184]) ).
tcf(c_66066,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1183]) ).
tcf(c_66067,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1182]) ).
tcf(c_66068,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1120]) ).
tcf(c_66069,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1119]) ).
tcf(c_66070,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1118]) ).
tcf(c_66071,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1117]) ).
tcf(c_66072,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1116]) ).
tcf(c_66073,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_1115]) ).
tcf(c_66074,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_951]) ).
tcf(c_66075,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_66039,c_937]) ).
tcf(c_66076,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_66039,c_69]) ).
tcf(c_66077,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_923]) ).
tcf(c_66078,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_66039,c_68]) ).
tcf(c_66079,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_66039,c_77]) ).
tcf(c_66080,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_66039,c_71]) ).
tcf(c_66081,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_66039,c_909]) ).
tcf(c_66082,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_66039,c_76]) ).
tcf(c_66083,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_66039,c_70]) ).
tcf(c_66084,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))),sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_74]) ).
tcf(c_66085,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_73]) ).
tcf(c_66086,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_66039,c_63]) ).
tcf(c_66087,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_66039,c_62]) ).
tcf(c_66088,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_61]) ).
tcf(c_66089,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_66039,c_60]) ).
tcf(c_66204,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xa,X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_974]) ).
tcf(c_66205,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xb,X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_974]) ).
tcf(c_66206,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xp,X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_974]) ).
tcf(c_66207,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xq,X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_974]) ).
tcf(c_66208,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_974]) ).
tcf(c_66209,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64,c_974]) ).
tcf(c_66210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(X0,X1),X2)) = sz00 )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_974]) ).
tcf(c_66211,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(smndt0(X0),X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_974]) ).
tcf(c_66212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(X0,X1),X2)) = sz00 )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_974]) ).
tcf(c_66213,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1633,c_974]) ).
tcf(c_66214,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,xq),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2661,c_974]) ).
tcf(c_66215,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,xa),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1975,c_974]) ).
tcf(c_66216,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,xb),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_1914,c_974]) ).
tcf(c_66217,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,xa),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2091,c_974]) ).
tcf(c_66218,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_974]) ).
tcf(c_66219,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17725,c_974]) ).
tcf(c_66220,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13188,c_974]) ).
tcf(c_66221,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,xb),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2315,c_974]) ).
tcf(c_66222,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,xb),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2420,c_974]) ).
tcf(c_66223,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2484,c_974]) ).
tcf(c_66224,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3596,c_974]) ).
tcf(c_66225,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2753,c_974]) ).
tcf(c_66226,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_974]) ).
tcf(c_66227,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17719,c_974]) ).
tcf(c_66228,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_974]) ).
tcf(c_66229,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,xb),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3219,c_974]) ).
tcf(c_66230,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12064,c_974]) ).
tcf(c_66231,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,xa),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3339,c_974]) ).
tcf(c_66232,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_11002,c_974]) ).
tcf(c_66233,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,xa),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3448,c_974]) ).
tcf(c_66234,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3508,c_974]) ).
tcf(c_66235,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5184,c_974]) ).
tcf(c_66236,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16031,c_974]) ).
tcf(c_66237,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,xb),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3799,c_974]) ).
tcf(c_66238,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,xb),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3870,c_974]) ).
tcf(c_66239,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4045,c_974]) ).
tcf(c_66240,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4122,c_974]) ).
tcf(c_66241,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,xq),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4338,c_974]) ).
tcf(c_66242,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4414,c_974]) ).
tcf(c_66243,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17473,c_974]) ).
tcf(c_66244,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15645,c_974]) ).
tcf(c_66245,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,xm),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4657,c_974]) ).
tcf(c_66246,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5334,c_974]) ).
tcf(c_66247,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5697,c_974]) ).
tcf(c_66248,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6261,c_974]) ).
tcf(c_66249,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6470,c_974]) ).
tcf(c_66250,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_974]) ).
tcf(c_66251,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7971,c_974]) ).
tcf(c_66252,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_974]) ).
tcf(c_66253,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_974]) ).
tcf(c_66254,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_974]) ).
tcf(c_66255,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8671,c_974]) ).
tcf(c_66256,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8842,c_974]) ).
tcf(c_66257,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_8943,c_974]) ).
tcf(c_66258,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9094,c_974]) ).
tcf(c_66259,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9288,c_974]) ).
tcf(c_66260,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9370,c_974]) ).
tcf(c_66261,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9495,c_974]) ).
tcf(c_66262,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_974]) ).
tcf(c_66263,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_9947,c_974]) ).
tcf(c_66264,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_974]) ).
tcf(c_66265,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_974]) ).
tcf(c_66266,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_974]) ).
tcf(c_66267,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_974]) ).
tcf(c_66268,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_974]) ).
tcf(c_66269,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_974]) ).
tcf(c_66270,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_974]) ).
tcf(c_66271,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_974]) ).
tcf(c_66272,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_974]) ).
tcf(c_66273,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_974]) ).
tcf(c_66274,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_974]) ).
tcf(c_66275,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35636,c_974]) ).
tcf(c_66276,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34211,c_974]) ).
tcf(c_66277,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12783,c_974]) ).
tcf(c_66278,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_12790,c_974]) ).
tcf(c_66279,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34611,c_974]) ).
tcf(c_66280,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_974]) ).
tcf(c_66281,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_13766,c_974]) ).
tcf(c_66282,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_974]) ).
tcf(c_66283,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_974]) ).
tcf(c_66284,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_974]) ).
tcf(c_66285,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14566,c_974]) ).
tcf(c_66286,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14697,c_974]) ).
tcf(c_66287,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_14932,c_974]) ).
tcf(c_66288,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15065,c_974]) ).
tcf(c_66289,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15173,c_974]) ).
tcf(c_66290,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15391,c_974]) ).
tcf(c_66291,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_15718,c_974]) ).
tcf(c_66292,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_974]) ).
tcf(c_66293,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16344,c_974]) ).
tcf(c_66294,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_16457,c_974]) ).
tcf(c_66295,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_974]) ).
tcf(c_66296,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_974]) ).
tcf(c_66297,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64940,c_974]) ).
tcf(c_66298,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_974]) ).
tcf(c_66299,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_17869,c_974]) ).
tcf(c_66300,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18013,c_974]) ).
tcf(c_66301,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18133,c_974]) ).
tcf(c_66302,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18253,c_974]) ).
tcf(c_66303,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18360,c_974]) ).
tcf(c_66304,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18366,c_974]) ).
tcf(c_66305,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18630,c_974]) ).
tcf(c_66306,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_18737,c_974]) ).
tcf(c_66307,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_974]) ).
tcf(c_66308,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_974]) ).
tcf(c_66309,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_974]) ).
tcf(c_66310,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_974]) ).
tcf(c_66311,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20016,c_974]) ).
tcf(c_66312,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20116,c_974]) ).
tcf(c_66313,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_20276,c_974]) ).
tcf(c_66314,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_974]) ).
tcf(c_66315,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21047,c_974]) ).
tcf(c_66316,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_974]) ).
tcf(c_66317,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_974]) ).
tcf(c_66318,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21490,c_974]) ).
tcf(c_66319,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21497,c_974]) ).
tcf(c_66320,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_21836,c_974]) ).
tcf(c_66321,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22001,c_974]) ).
tcf(c_66322,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22104,c_974]) ).
tcf(c_66323,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_974]) ).
tcf(c_66324,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22398,c_974]) ).
tcf(c_66325,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22405,c_974]) ).
tcf(c_66326,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22701,c_974]) ).
tcf(c_66327,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22813,c_974]) ).
tcf(c_66328,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_22925,c_974]) ).
tcf(c_66329,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_974]) ).
tcf(c_66330,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23198,c_974]) ).
tcf(c_66331,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23306,c_974]) ).
tcf(c_66332,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23413,c_974]) ).
tcf(c_66333,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_23662,c_974]) ).
tcf(c_66334,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_974]) ).
tcf(c_66335,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24297,c_974]) ).
tcf(c_66336,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_974]) ).
tcf(c_66337,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,smndt0(xm)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_974]) ).
tcf(c_66338,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_24923,c_974]) ).
tcf(c_66339,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25250,c_974]) ).
tcf(c_66340,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25322,c_974]) ).
tcf(c_66341,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25403,c_974]) ).
tcf(c_66342,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25479,c_974]) ).
tcf(c_66343,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25632,c_974]) ).
tcf(c_66344,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_25718,c_974]) ).
tcf(c_66345,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26037,c_974]) ).
tcf(c_66346,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,smndt0(xa)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_974]) ).
tcf(c_66347,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,smndt0(xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_26725,c_974]) ).
tcf(c_66348,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,smndt0(xp)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_974]) ).
tcf(c_66349,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,smndt0(xq)),X0)) = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_974]) ).
tcf(c_66350,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27368,c_974]) ).
tcf(c_66351,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27479,c_974]) ).
tcf(c_66352,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_27929,c_974]) ).
tcf(c_66353,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28013,c_974]) ).
tcf(c_66354,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28092,c_974]) ).
tcf(c_66355,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28099,c_974]) ).
tcf(c_66356,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28255,c_974]) ).
tcf(c_66357,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_28430,c_974]) ).
tcf(c_66358,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29101,c_974]) ).
tcf(c_66359,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29185,c_974]) ).
tcf(c_66360,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29863,c_974]) ).
tcf(c_66361,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_29947,c_974]) ).
tcf(c_66362,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30764,c_974]) ).
tcf(c_66363,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_30846,c_974]) ).
tcf(c_66364,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31107,c_974]) ).
tcf(c_66365,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31193,c_974]) ).
tcf(c_66366,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31470,c_974]) ).
tcf(c_66367,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31576,c_974]) ).
tcf(c_66368,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31696,c_974]) ).
tcf(c_66369,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_31989,c_974]) ).
tcf(c_66370,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32116,c_974]) ).
tcf(c_66371,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32403,c_974]) ).
tcf(c_66372,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32504,c_974]) ).
tcf(c_66373,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32633,c_974]) ).
tcf(c_66374,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_32896,c_974]) ).
tcf(c_66375,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33014,c_974]) ).
tcf(c_66376,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33148,c_974]) ).
tcf(c_66377,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33312,c_974]) ).
tcf(c_66378,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33430,c_974]) ).
tcf(c_66379,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33552,c_974]) ).
tcf(c_66380,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_33702,c_974]) ).
tcf(c_66381,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34054,c_974]) ).
tcf(c_66382,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34134,c_974]) ).
tcf(c_66383,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34456,c_974]) ).
tcf(c_66384,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34536,c_974]) ).
tcf(c_66385,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_34884,c_974]) ).
tcf(c_66386,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35008,c_974]) ).
tcf(c_66387,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35107,c_974]) ).
tcf(c_66388,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35415,c_974]) ).
tcf(c_66389,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35517,c_974]) ).
tcf(c_66390,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_35922,c_974]) ).
tcf(c_66391,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36051,c_974]) ).
tcf(c_66392,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36174,c_974]) ).
tcf(c_66393,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36420,c_974]) ).
tcf(c_66394,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36566,c_974]) ).
tcf(c_66395,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36674,c_974]) ).
tcf(c_66396,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_36807,c_974]) ).
tcf(c_66397,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37191,c_974]) ).
tcf(c_66398,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37286,c_974]) ).
tcf(c_66399,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37370,c_974]) ).
tcf(c_66400,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37688,c_974]) ).
tcf(c_66401,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_37773,c_974]) ).
tcf(c_66402,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38058,c_974]) ).
tcf(c_66403,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38138,c_974]) ).
tcf(c_66404,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38391,c_974]) ).
tcf(c_66405,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38533,c_974]) ).
tcf(c_66406,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38641,c_974]) ).
tcf(c_66407,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_38952,c_974]) ).
tcf(c_66408,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39087,c_974]) ).
tcf(c_66409,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39229,c_974]) ).
tcf(c_66410,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39509,c_974]) ).
tcf(c_66411,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39624,c_974]) ).
tcf(c_66412,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39772,c_974]) ).
tcf(c_66413,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_39885,c_974]) ).
tcf(c_66414,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40211,c_974]) ).
tcf(c_66415,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40341,c_974]) ).
tcf(c_66416,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40444,c_974]) ).
tcf(c_66417,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40755,c_974]) ).
tcf(c_66418,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40864,c_974]) ).
tcf(c_66419,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_40990,c_974]) ).
tcf(c_66420,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41280,c_974]) ).
tcf(c_66421,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41385,c_974]) ).
tcf(c_66422,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41508,c_974]) ).
tcf(c_66423,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41800,c_974]) ).
tcf(c_66424,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_41903,c_974]) ).
tcf(c_66425,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42024,c_974]) ).
tcf(c_66426,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42312,c_974]) ).
tcf(c_66427,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42438,c_974]) ).
tcf(c_66428,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42538,c_974]) ).
tcf(c_66429,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42677,c_974]) ).
tcf(c_66430,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_42997,c_974]) ).
tcf(c_66431,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43127,c_974]) ).
tcf(c_66432,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43277,c_974]) ).
tcf(c_66433,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43665,c_974]) ).
tcf(c_66434,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43788,c_974]) ).
tcf(c_66435,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_43903,c_974]) ).
tcf(c_66436,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44184,c_974]) ).
tcf(c_66437,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44327,c_974]) ).
tcf(c_66438,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44432,c_974]) ).
tcf(c_66439,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44748,c_974]) ).
tcf(c_66440,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44855,c_974]) ).
tcf(c_66441,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_44973,c_974]) ).
tcf(c_66442,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45104,c_974]) ).
tcf(c_66443,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45463,c_974]) ).
tcf(c_66444,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45589,c_974]) ).
tcf(c_66445,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45701,c_974]) ).
tcf(c_66446,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_45992,c_974]) ).
tcf(c_66447,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46146,c_974]) ).
tcf(c_66448,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46253,c_974]) ).
tcf(c_66449,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46534,c_974]) ).
tcf(c_66450,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46663,c_974]) ).
tcf(c_66451,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_46771,c_974]) ).
tcf(c_66452,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47110,c_974]) ).
tcf(c_66453,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47223,c_974]) ).
tcf(c_66454,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47349,c_974]) ).
tcf(c_66455,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47622,c_974]) ).
tcf(c_66456,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47727,c_974]) ).
tcf(c_66457,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47855,c_974]) ).
tcf(c_66458,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_47954,c_974]) ).
tcf(c_66459,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48268,c_974]) ).
tcf(c_66460,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48393,c_974]) ).
tcf(c_66461,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48520,c_974]) ).
tcf(c_66462,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48834,c_974]) ).
tcf(c_66463,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_48937,c_974]) ).
tcf(c_66464,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49056,c_974]) ).
tcf(c_66465,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49344,c_974]) ).
tcf(c_66466,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49470,c_974]) ).
tcf(c_66467,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49567,c_974]) ).
tcf(c_66468,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49856,c_974]) ).
tcf(c_66469,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49982,c_974]) ).
tcf(c_66470,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50077,c_974]) ).
tcf(c_66471,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50464,c_974]) ).
tcf(c_66472,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50590,c_974]) ).
tcf(c_66473,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50592,c_974]) ).
tcf(c_66474,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50811,c_974]) ).
tcf(c_66475,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50968,c_974]) ).
tcf(c_66476,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51067,c_974]) ).
tcf(c_66477,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51199,c_974]) ).
tcf(c_66478,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51371,c_974]) ).
tcf(c_66479,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51489,c_974]) ).
tcf(c_66480,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51602,c_974]) ).
tcf(c_66481,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51775,c_974]) ).
tcf(c_66482,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51961,c_974]) ).
tcf(c_66483,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52148,c_974]) ).
tcf(c_66484,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xa,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52275,c_974]) ).
tcf(c_66485,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52396,c_974]) ).
tcf(c_66486,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52558,c_974]) ).
tcf(c_66487,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52690,c_974]) ).
tcf(c_66488,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52793,c_974]) ).
tcf(c_66489,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_52948,c_974]) ).
tcf(c_66490,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53086,c_974]) ).
tcf(c_66491,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53198,c_974]) ).
tcf(c_66492,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53200,c_974]) ).
tcf(c_66493,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53527,c_974]) ).
tcf(c_66494,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53630,c_974]) ).
tcf(c_66495,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53972,c_974]) ).
tcf(c_66496,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54098,c_974]) ).
tcf(c_66497,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54199,c_974]) ).
tcf(c_66498,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54490,c_974]) ).
tcf(c_66499,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xa)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54616,c_974]) ).
tcf(c_66500,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xa,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54713,c_974]) ).
tcf(c_66501,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_54998,c_974]) ).
tcf(c_66502,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xb)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55124,c_974]) ).
tcf(c_66503,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xb,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55126,c_974]) ).
tcf(c_66504,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xq)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_55353,c_974]) ).
tcf(c_66505,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_62884,c_974]) ).
tcf(c_66506,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xp,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63014,c_974]) ).
tcf(c_66507,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xq,xm)),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63128,c_974]) ).
tcf(c_66508,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63449,c_974]) ).
tcf(c_66509,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63596,c_974]) ).
tcf(c_66510,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63767,c_974]) ).
tcf(c_66511,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_63919,c_974]) ).
tcf(c_66512,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64095,c_974]) ).
tcf(c_66513,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64266,c_974]) ).
tcf(c_66514,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64423,c_974]) ).
tcf(c_66515,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64598,c_974]) ).
tcf(c_66516,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_64749,c_974]) ).
tcf(c_66517,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65396,c_974]) ).
tcf(c_66518,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65544,c_974]) ).
tcf(c_66519,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65730,c_974]) ).
tcf(c_66520,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_65878,c_974]) ).
tcf(c_66521,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_66039,c_974]) ).
tcf(c_67874,plain,
sdtasdt0(sz00,sdtasdt0(xa,xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_66204]) ).
tcf(c_67876,plain,
sdtasdt0(sz00,sdtasdt0(xa,xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_66204]) ).
tcf(c_67877,plain,
sdtasdt0(sz00,sdtasdt0(xa,xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_66204]) ).
tcf(c_67879,plain,
sdtasdt0(sz00,sdtasdt0(xa,sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_66204]) ).
tcf(c_67880,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_66204]) ).
tcf(c_67881,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_66204]) ).
tcf(c_67882,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_66204]) ).
tcf(c_67889,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_66204]) ).
tcf(c_67890,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_66204]) ).
tcf(c_67897,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_66204]) ).
tcf(c_67898,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_66204]) ).
tcf(c_67900,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_66204]) ).
tcf(c_67902,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_66204]) ).
tcf(c_67906,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_66204]) ).
tcf(c_67913,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_66204]) ).
tcf(c_67914,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_66204]) ).
tcf(c_67916,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_66204]) ).
tcf(c_67917,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_66204]) ).
tcf(c_67918,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_66204]) ).
tcf(c_67919,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_66204]) ).
tcf(c_67920,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_66204]) ).
tcf(c_67921,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_66204]) ).
tcf(c_67922,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_66204]) ).
tcf(c_67923,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_66204]) ).
tcf(c_67924,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_66204]) ).
tcf(c_67925,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_66204]) ).
tcf(c_67926,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_66204]) ).
tcf(c_67927,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_66204]) ).
tcf(c_67928,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_66204]) ).
tcf(c_67929,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_66204]) ).
tcf(c_67930,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_66204]) ).
tcf(c_67931,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_66204]) ).
tcf(c_67932,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_66204]) ).
tcf(c_67933,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_66204]) ).
tcf(c_67934,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_66204]) ).
tcf(c_67935,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_66204]) ).
tcf(c_67936,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_66204]) ).
tcf(c_67937,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_66204]) ).
tcf(c_67938,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_66204]) ).
tcf(c_67939,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_66204]) ).
tcf(c_67940,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_66204]) ).
tcf(c_67941,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_66204]) ).
tcf(c_67942,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_66204]) ).
tcf(c_67943,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_66204]) ).
tcf(c_67944,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_66204]) ).
tcf(c_67945,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_66204]) ).
tcf(c_67946,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_66204]) ).
tcf(c_67947,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_66204]) ).
tcf(c_67948,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_66204]) ).
tcf(c_67949,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_66204]) ).
tcf(c_67950,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_66204]) ).
tcf(c_67951,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_66204]) ).
tcf(c_67952,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_66204]) ).
tcf(c_67953,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_66204]) ).
tcf(c_67954,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_66204]) ).
tcf(c_67955,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_66204]) ).
tcf(c_67956,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_66204]) ).
tcf(c_67957,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_66204]) ).
tcf(c_67958,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_66204]) ).
tcf(c_67959,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_66204]) ).
tcf(c_67960,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_66204]) ).
tcf(c_67961,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_66204]) ).
tcf(c_67962,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_66204]) ).
tcf(c_67963,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_66204]) ).
tcf(c_67964,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_66204]) ).
tcf(c_67965,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_66204]) ).
tcf(c_67966,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_66204]) ).
tcf(c_67967,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_66204]) ).
tcf(c_67968,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_66204]) ).
tcf(c_67969,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_66204]) ).
tcf(c_67970,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_66204]) ).
tcf(c_67971,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_66204]) ).
tcf(c_67972,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_66204]) ).
tcf(c_67973,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_66204]) ).
tcf(c_67974,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_66204]) ).
tcf(c_67975,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_66204]) ).
tcf(c_67976,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_66204]) ).
tcf(c_67977,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_66204]) ).
tcf(c_67978,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_66204]) ).
tcf(c_67979,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_66204]) ).
tcf(c_67980,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_66204]) ).
tcf(c_67981,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_66204]) ).
tcf(c_67982,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_66204]) ).
tcf(c_67983,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_66204]) ).
tcf(c_67984,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_66204]) ).
tcf(c_67985,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_66204]) ).
tcf(c_67986,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_66204]) ).
tcf(c_67987,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_66204]) ).
tcf(c_67988,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_66204]) ).
tcf(c_67989,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_66204]) ).
tcf(c_67990,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_66204]) ).
tcf(c_67991,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_66204]) ).
tcf(c_67992,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_66204]) ).
tcf(c_67993,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_66204]) ).
tcf(c_67994,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_66204]) ).
tcf(c_67995,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_66204]) ).
tcf(c_67996,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_66204]) ).
tcf(c_67997,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_66204]) ).
tcf(c_67998,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_66204]) ).
tcf(c_67999,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_66204]) ).
tcf(c_68000,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_66204]) ).
tcf(c_68001,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_66204]) ).
tcf(c_68002,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_66204]) ).
tcf(c_68003,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_66204]) ).
tcf(c_68004,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_66204]) ).
tcf(c_68005,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_66204]) ).
tcf(c_68006,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_66204]) ).
tcf(c_68007,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_66204]) ).
tcf(c_68008,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_66204]) ).
tcf(c_68009,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_66204]) ).
tcf(c_68010,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_66204]) ).
tcf(c_68011,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_66204]) ).
tcf(c_68012,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_66204]) ).
tcf(c_68013,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_66204]) ).
tcf(c_68014,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_66204]) ).
tcf(c_68015,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_66204]) ).
tcf(c_68016,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_66204]) ).
tcf(c_68017,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_66204]) ).
tcf(c_68018,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_66204]) ).
tcf(c_68019,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_66204]) ).
tcf(c_68020,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_66204]) ).
tcf(c_68021,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_66204]) ).
tcf(c_68022,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_66204]) ).
tcf(c_68023,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_66204]) ).
tcf(c_68024,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_66204]) ).
tcf(c_68025,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_66204]) ).
tcf(c_68026,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_66204]) ).
tcf(c_68027,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_66204]) ).
tcf(c_68028,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_66204]) ).
tcf(c_68029,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_66204]) ).
tcf(c_68030,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_66204]) ).
tcf(c_68031,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_66204]) ).
tcf(c_68032,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_66204]) ).
tcf(c_68033,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_66204]) ).
tcf(c_68034,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_66204]) ).
tcf(c_68035,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_66204]) ).
tcf(c_68036,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_66204]) ).
tcf(c_68037,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_66204]) ).
tcf(c_68038,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_66204]) ).
tcf(c_68039,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_66204]) ).
tcf(c_68040,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_66204]) ).
tcf(c_68041,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_66204]) ).
tcf(c_68042,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_66204]) ).
tcf(c_68043,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_66204]) ).
tcf(c_68044,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_66204]) ).
tcf(c_68045,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_66204]) ).
tcf(c_68046,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_66204]) ).
tcf(c_68047,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_66204]) ).
tcf(c_68048,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_66204]) ).
tcf(c_68049,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_66204]) ).
tcf(c_68050,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_66204]) ).
tcf(c_68051,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_66204]) ).
tcf(c_68052,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_66204]) ).
tcf(c_68053,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_66204]) ).
tcf(c_68054,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_66204]) ).
tcf(c_68055,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_66204]) ).
tcf(c_68056,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_66204]) ).
tcf(c_68057,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_66204]) ).
tcf(c_68058,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_66204]) ).
tcf(c_68059,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_66204]) ).
tcf(c_68060,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_66204]) ).
tcf(c_68061,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_66204]) ).
tcf(c_68062,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_66204]) ).
tcf(c_68063,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_66204]) ).
tcf(c_68064,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_66204]) ).
tcf(c_68065,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_66204]) ).
tcf(c_68066,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_66204]) ).
tcf(c_68067,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_66204]) ).
tcf(c_68068,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_66204]) ).
tcf(c_68069,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_66204]) ).
tcf(c_68070,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_66204]) ).
tcf(c_68071,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_66204]) ).
tcf(c_68072,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_66204]) ).
tcf(c_68073,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_66204]) ).
tcf(c_68074,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_66204]) ).
tcf(c_68075,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_66204]) ).
tcf(c_68076,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_66204]) ).
tcf(c_68077,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_66204]) ).
tcf(c_68078,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_66204]) ).
tcf(c_68079,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_66204]) ).
tcf(c_68080,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_66204]) ).
tcf(c_68081,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_66204]) ).
tcf(c_68082,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_66204]) ).
tcf(c_68083,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_66204]) ).
tcf(c_68084,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_66204]) ).
tcf(c_68085,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_66204]) ).
tcf(c_68086,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_66204]) ).
tcf(c_68087,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_66204]) ).
tcf(c_68088,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_66204]) ).
tcf(c_68089,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_66204]) ).
tcf(c_68090,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_66204]) ).
tcf(c_68091,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_66204]) ).
tcf(c_68092,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_66204]) ).
tcf(c_68093,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_66204]) ).
tcf(c_68094,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_66204]) ).
tcf(c_68095,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_66204]) ).
tcf(c_68096,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_66204]) ).
tcf(c_68097,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_66204]) ).
tcf(c_68098,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_66204]) ).
tcf(c_68099,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_66204]) ).
tcf(c_68100,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_66204]) ).
tcf(c_68101,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_66204]) ).
tcf(c_68102,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_66204]) ).
tcf(c_68103,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_66204]) ).
tcf(c_68104,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_66204]) ).
tcf(c_68105,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_66204]) ).
tcf(c_68106,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_66204]) ).
tcf(c_68107,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_66204]) ).
tcf(c_68108,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_66204]) ).
tcf(c_68109,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_66204]) ).
tcf(c_68110,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_66204]) ).
tcf(c_68111,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_66204]) ).
tcf(c_68112,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_66204]) ).
tcf(c_68113,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_66204]) ).
tcf(c_68114,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_66204]) ).
tcf(c_68115,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_66204]) ).
tcf(c_68116,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_66204]) ).
tcf(c_68117,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_66204]) ).
tcf(c_68118,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_66204]) ).
tcf(c_68119,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_66204]) ).
tcf(c_68120,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_66204]) ).
tcf(c_68121,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_66204]) ).
tcf(c_68122,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_66204]) ).
tcf(c_68123,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_66204]) ).
tcf(c_68124,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_66204]) ).
tcf(c_68125,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_66204]) ).
tcf(c_68126,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_66204]) ).
tcf(c_68127,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_66204]) ).
tcf(c_68128,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_66204]) ).
tcf(c_68129,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_66204]) ).
tcf(c_68130,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_66204]) ).
tcf(c_68131,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_66204]) ).
tcf(c_68132,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_66204]) ).
tcf(c_68133,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_66204]) ).
tcf(c_68134,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_66204]) ).
tcf(c_68135,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_66204]) ).
tcf(c_68136,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_66204]) ).
tcf(c_68137,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_66204]) ).
tcf(c_68138,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_66204]) ).
tcf(c_68139,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_66204]) ).
tcf(c_68140,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_66204]) ).
tcf(c_68141,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_66204]) ).
tcf(c_68142,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_66204]) ).
tcf(c_68143,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_66204]) ).
tcf(c_68144,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_66204]) ).
tcf(c_68145,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_66204]) ).
tcf(c_68146,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_66204]) ).
tcf(c_68147,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_66204]) ).
tcf(c_68148,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_66204]) ).
tcf(c_68149,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_66204]) ).
tcf(c_68150,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_66204]) ).
tcf(c_68151,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_66204]) ).
tcf(c_68152,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_66204]) ).
tcf(c_68153,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_66204]) ).
tcf(c_68154,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_66204]) ).
tcf(c_68155,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_66204]) ).
tcf(c_68156,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_66204]) ).
tcf(c_68157,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_66204]) ).
tcf(c_68158,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_66204]) ).
tcf(c_68159,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_66204]) ).
tcf(c_68160,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_66204]) ).
tcf(c_68161,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_66204]) ).
tcf(c_68162,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_66204]) ).
tcf(c_68163,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_66204]) ).
tcf(c_68164,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_66204]) ).
tcf(c_68165,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_66204]) ).
tcf(c_68166,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_66204]) ).
tcf(c_68167,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_66204]) ).
tcf(c_68168,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_66204]) ).
tcf(c_68169,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_66204]) ).
tcf(c_68170,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_66204]) ).
tcf(c_68171,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_66204]) ).
tcf(c_68172,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_66204]) ).
tcf(c_68173,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_66204]) ).
tcf(c_68174,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_66204]) ).
tcf(c_68175,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_66204]) ).
tcf(c_68176,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_66204]) ).
tcf(c_68177,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_66204]) ).
tcf(c_68178,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_66204]) ).
tcf(c_68179,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_66204]) ).
tcf(c_68180,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_66204]) ).
tcf(c_68181,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_66204]) ).
tcf(c_68182,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_66204]) ).
tcf(c_68183,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_66204]) ).
tcf(c_68184,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_66204]) ).
tcf(c_68185,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_66204]) ).
tcf(c_68186,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_66204]) ).
tcf(c_68187,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_66204]) ).
tcf(c_68188,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_66204]) ).
tcf(c_68189,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_66204]) ).
tcf(c_68190,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_66204]) ).
tcf(c_68191,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_66204]) ).
tcf(c_68649,plain,
sdtasdt0(sz00,sdtasdt0(xb,xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_66205]) ).
tcf(c_68650,plain,
sdtasdt0(sz00,sdtasdt0(xb,xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_66205]) ).
tcf(c_68651,plain,
sdtasdt0(sz00,sdtasdt0(xb,xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_66205]) ).
tcf(c_68652,plain,
sdtasdt0(sz00,sdtasdt0(xb,xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_66205]) ).
tcf(c_68654,plain,
sdtasdt0(sz00,sdtasdt0(xb,sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_66205]) ).
tcf(c_68655,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_66205]) ).
tcf(c_68656,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_66205]) ).
tcf(c_68657,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_66205]) ).
tcf(c_68664,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_66205]) ).
tcf(c_68665,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_66205]) ).
tcf(c_68672,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_66205]) ).
tcf(c_68673,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_66205]) ).
tcf(c_68675,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_66205]) ).
tcf(c_68677,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_66205]) ).
tcf(c_68681,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_66205]) ).
tcf(c_68688,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_66205]) ).
tcf(c_68689,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_66205]) ).
tcf(c_68691,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_66205]) ).
tcf(c_68692,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_66205]) ).
tcf(c_68693,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_66205]) ).
tcf(c_68694,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_66205]) ).
tcf(c_68695,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_66205]) ).
tcf(c_68696,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_66205]) ).
tcf(c_68697,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_66205]) ).
tcf(c_68698,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_66205]) ).
tcf(c_68699,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_66205]) ).
tcf(c_68700,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_66205]) ).
tcf(c_68701,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_66205]) ).
tcf(c_68702,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_66205]) ).
tcf(c_68703,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_66205]) ).
tcf(c_68704,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_66205]) ).
tcf(c_68705,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_66205]) ).
tcf(c_68706,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_66205]) ).
tcf(c_68707,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_66205]) ).
tcf(c_68708,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_66205]) ).
tcf(c_68709,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_66205]) ).
tcf(c_68710,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_66205]) ).
tcf(c_68711,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_66205]) ).
tcf(c_68712,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_66205]) ).
tcf(c_68713,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_66205]) ).
tcf(c_68714,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_66205]) ).
tcf(c_68715,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_66205]) ).
tcf(c_68716,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_66205]) ).
tcf(c_68717,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_66205]) ).
tcf(c_68718,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_66205]) ).
tcf(c_68719,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_66205]) ).
tcf(c_68720,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_66205]) ).
tcf(c_68721,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_66205]) ).
tcf(c_68722,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_66205]) ).
tcf(c_68723,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_66205]) ).
tcf(c_68724,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_66205]) ).
tcf(c_68725,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_66205]) ).
tcf(c_68726,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_66205]) ).
tcf(c_68727,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_66205]) ).
tcf(c_68728,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_66205]) ).
tcf(c_68729,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_66205]) ).
tcf(c_68730,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_66205]) ).
tcf(c_68731,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_66205]) ).
tcf(c_68732,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_66205]) ).
tcf(c_68733,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_66205]) ).
tcf(c_68734,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_66205]) ).
tcf(c_68735,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_66205]) ).
tcf(c_68736,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_66205]) ).
tcf(c_68737,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_66205]) ).
tcf(c_68738,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_66205]) ).
tcf(c_68739,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_66205]) ).
tcf(c_68740,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_66205]) ).
tcf(c_68741,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_66205]) ).
tcf(c_68742,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_66205]) ).
tcf(c_68743,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_66205]) ).
tcf(c_68744,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_66205]) ).
tcf(c_68745,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_66205]) ).
tcf(c_68746,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_66205]) ).
tcf(c_68747,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_66205]) ).
tcf(c_68748,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_66205]) ).
tcf(c_68749,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_66205]) ).
tcf(c_68750,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_66205]) ).
tcf(c_68751,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_66205]) ).
tcf(c_68752,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_66205]) ).
tcf(c_68753,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_66205]) ).
tcf(c_68754,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_66205]) ).
tcf(c_68755,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_66205]) ).
tcf(c_68756,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_66205]) ).
tcf(c_68757,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_66205]) ).
tcf(c_68758,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_66205]) ).
tcf(c_68759,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_66205]) ).
tcf(c_68760,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_66205]) ).
tcf(c_68761,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_66205]) ).
tcf(c_68762,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_66205]) ).
tcf(c_68763,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_66205]) ).
tcf(c_68764,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_66205]) ).
tcf(c_68765,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_66205]) ).
tcf(c_68766,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_66205]) ).
tcf(c_68767,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_66205]) ).
tcf(c_68768,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_66205]) ).
tcf(c_68769,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_66205]) ).
tcf(c_68770,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_66205]) ).
tcf(c_68771,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_66205]) ).
tcf(c_68772,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_66205]) ).
tcf(c_68773,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_66205]) ).
tcf(c_68774,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_66205]) ).
tcf(c_68775,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_66205]) ).
tcf(c_68776,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_66205]) ).
tcf(c_68777,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_66205]) ).
tcf(c_68778,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_66205]) ).
tcf(c_68779,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_66205]) ).
tcf(c_68780,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_66205]) ).
tcf(c_68781,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_66205]) ).
tcf(c_68782,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_66205]) ).
tcf(c_68783,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_66205]) ).
tcf(c_68784,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_66205]) ).
tcf(c_68785,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_66205]) ).
tcf(c_68786,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_66205]) ).
tcf(c_68787,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_66205]) ).
tcf(c_68788,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_66205]) ).
tcf(c_68789,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_66205]) ).
tcf(c_68790,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_66205]) ).
tcf(c_68791,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_66205]) ).
tcf(c_68792,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_66205]) ).
tcf(c_68793,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_66205]) ).
tcf(c_68794,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_66205]) ).
tcf(c_68795,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_66205]) ).
tcf(c_68796,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_66205]) ).
tcf(c_68797,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_66205]) ).
tcf(c_68798,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_66205]) ).
tcf(c_68799,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_66205]) ).
tcf(c_68800,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_66205]) ).
tcf(c_68801,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_66205]) ).
tcf(c_68802,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_66205]) ).
tcf(c_68803,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_66205]) ).
tcf(c_68804,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_66205]) ).
tcf(c_68805,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_66205]) ).
tcf(c_68806,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_66205]) ).
tcf(c_68807,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_66205]) ).
tcf(c_68808,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_66205]) ).
tcf(c_68809,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_66205]) ).
tcf(c_68810,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_66205]) ).
tcf(c_68811,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_66205]) ).
tcf(c_68812,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_66205]) ).
tcf(c_68813,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_66205]) ).
tcf(c_68814,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_66205]) ).
tcf(c_68815,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_66205]) ).
tcf(c_68816,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_66205]) ).
tcf(c_68817,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_66205]) ).
tcf(c_68818,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_66205]) ).
tcf(c_68819,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_66205]) ).
tcf(c_68820,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_66205]) ).
tcf(c_68821,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_66205]) ).
tcf(c_68822,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_66205]) ).
tcf(c_68823,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_66205]) ).
tcf(c_68824,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_66205]) ).
tcf(c_68825,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_66205]) ).
tcf(c_68826,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_66205]) ).
tcf(c_68827,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_66205]) ).
tcf(c_68828,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_66205]) ).
tcf(c_68829,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_66205]) ).
tcf(c_68830,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_66205]) ).
tcf(c_68831,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_66205]) ).
tcf(c_68832,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_66205]) ).
tcf(c_68833,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_66205]) ).
tcf(c_68834,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_66205]) ).
tcf(c_68835,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_66205]) ).
tcf(c_68836,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_66205]) ).
tcf(c_68837,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_66205]) ).
tcf(c_68838,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_66205]) ).
tcf(c_68839,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_66205]) ).
tcf(c_68840,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_66205]) ).
tcf(c_68841,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_66205]) ).
tcf(c_68842,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_66205]) ).
tcf(c_68843,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_66205]) ).
tcf(c_68844,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_66205]) ).
tcf(c_68845,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_66205]) ).
tcf(c_68846,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_66205]) ).
tcf(c_68847,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_66205]) ).
tcf(c_68848,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_66205]) ).
tcf(c_68849,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_66205]) ).
tcf(c_68850,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_66205]) ).
tcf(c_68851,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_66205]) ).
tcf(c_68852,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_66205]) ).
tcf(c_68853,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_66205]) ).
tcf(c_68854,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_66205]) ).
tcf(c_68855,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_66205]) ).
tcf(c_68856,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_66205]) ).
tcf(c_68857,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_66205]) ).
tcf(c_68858,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_66205]) ).
tcf(c_68859,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_66205]) ).
tcf(c_68860,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_66205]) ).
tcf(c_68861,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_66205]) ).
tcf(c_68862,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_66205]) ).
tcf(c_68863,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_66205]) ).
tcf(c_68864,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_66205]) ).
tcf(c_68865,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_66205]) ).
tcf(c_68866,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_66205]) ).
tcf(c_68867,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_66205]) ).
tcf(c_68868,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_66205]) ).
tcf(c_68869,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_66205]) ).
tcf(c_68870,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_66205]) ).
tcf(c_68871,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_66205]) ).
tcf(c_68872,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_66205]) ).
tcf(c_68873,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_66205]) ).
tcf(c_68874,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_66205]) ).
tcf(c_68875,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_66205]) ).
tcf(c_68876,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_66205]) ).
tcf(c_68877,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_66205]) ).
tcf(c_68878,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_66205]) ).
tcf(c_68879,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_66205]) ).
tcf(c_68880,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_66205]) ).
tcf(c_68881,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_66205]) ).
tcf(c_68882,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_66205]) ).
tcf(c_68883,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_66205]) ).
tcf(c_68884,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_66205]) ).
tcf(c_68885,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_66205]) ).
tcf(c_68886,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_66205]) ).
tcf(c_68887,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_66205]) ).
tcf(c_68888,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_66205]) ).
tcf(c_68889,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_66205]) ).
tcf(c_68890,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_66205]) ).
tcf(c_68891,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_66205]) ).
tcf(c_68892,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_66205]) ).
tcf(c_68893,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_66205]) ).
tcf(c_68894,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_66205]) ).
tcf(c_68895,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_66205]) ).
tcf(c_68896,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_66205]) ).
tcf(c_68897,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_66205]) ).
tcf(c_68898,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_66205]) ).
tcf(c_68899,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_66205]) ).
tcf(c_68900,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_66205]) ).
tcf(c_68901,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_66205]) ).
tcf(c_68902,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_66205]) ).
tcf(c_68903,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_66205]) ).
tcf(c_68904,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_66205]) ).
tcf(c_68905,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_66205]) ).
tcf(c_68906,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_66205]) ).
tcf(c_68907,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_66205]) ).
tcf(c_68908,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_66205]) ).
tcf(c_68909,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_66205]) ).
tcf(c_68910,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_66205]) ).
tcf(c_68911,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_66205]) ).
tcf(c_68912,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_66205]) ).
tcf(c_68913,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_66205]) ).
tcf(c_68914,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_66205]) ).
tcf(c_68915,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_66205]) ).
tcf(c_68916,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_66205]) ).
tcf(c_68917,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_66205]) ).
tcf(c_68918,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_66205]) ).
tcf(c_68919,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_66205]) ).
tcf(c_68920,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_66205]) ).
tcf(c_68921,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_66205]) ).
tcf(c_68922,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_66205]) ).
tcf(c_68923,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_66205]) ).
tcf(c_68924,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_66205]) ).
tcf(c_68925,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_66205]) ).
tcf(c_68926,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_66205]) ).
tcf(c_68927,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_66205]) ).
tcf(c_68928,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_66205]) ).
tcf(c_68929,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_66205]) ).
tcf(c_68930,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_66205]) ).
tcf(c_68931,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_66205]) ).
tcf(c_68932,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_66205]) ).
tcf(c_68933,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_66205]) ).
tcf(c_68934,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_66205]) ).
tcf(c_68935,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_66205]) ).
tcf(c_68936,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_66205]) ).
tcf(c_68937,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_66205]) ).
tcf(c_68938,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_66205]) ).
tcf(c_68939,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_66205]) ).
tcf(c_68940,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_66205]) ).
tcf(c_68941,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_66205]) ).
tcf(c_68942,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_66205]) ).
tcf(c_68943,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_66205]) ).
tcf(c_68944,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_66205]) ).
tcf(c_68945,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_66205]) ).
tcf(c_68946,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_66205]) ).
tcf(c_68947,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_66205]) ).
tcf(c_68948,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_66205]) ).
tcf(c_68949,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_66205]) ).
tcf(c_68950,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_66205]) ).
tcf(c_68951,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_66205]) ).
tcf(c_68952,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_66205]) ).
tcf(c_68953,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_66205]) ).
tcf(c_68954,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_66205]) ).
tcf(c_68955,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_66205]) ).
tcf(c_68956,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_66205]) ).
tcf(c_68957,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_66205]) ).
tcf(c_68958,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_66205]) ).
tcf(c_68959,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_66205]) ).
tcf(c_68960,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_66205]) ).
tcf(c_68961,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_66205]) ).
tcf(c_68962,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_66205]) ).
tcf(c_68963,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_66205]) ).
tcf(c_68964,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_66205]) ).
tcf(c_68965,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_66205]) ).
tcf(c_68966,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_66205]) ).
tcf(c_69337,plain,
sdtasdt0(sz00,sdtasdt0(xp,xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_66206]) ).
tcf(c_69340,plain,
sdtasdt0(sz00,sdtasdt0(xp,sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_66206]) ).
tcf(c_69341,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_66206]) ).
tcf(c_69342,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xp,smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_66206]) ).
tcf(c_69343,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_66206]) ).
tcf(c_69350,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_66206]) ).
tcf(c_69351,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_66206]) ).
tcf(c_69358,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_66206]) ).
tcf(c_69359,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_66206]) ).
tcf(c_69361,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_66206]) ).
tcf(c_69363,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_66206]) ).
tcf(c_69367,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_66206]) ).
tcf(c_69374,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_66206]) ).
tcf(c_69375,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_66206]) ).
tcf(c_69377,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_66206]) ).
tcf(c_69378,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_66206]) ).
tcf(c_69379,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_66206]) ).
tcf(c_69380,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_66206]) ).
tcf(c_69381,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_66206]) ).
tcf(c_69382,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_66206]) ).
tcf(c_69383,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_66206]) ).
tcf(c_69384,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_66206]) ).
tcf(c_69385,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_66206]) ).
tcf(c_69386,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_66206]) ).
tcf(c_69387,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_66206]) ).
tcf(c_69388,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_66206]) ).
tcf(c_69389,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_66206]) ).
tcf(c_69390,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_66206]) ).
tcf(c_69391,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_66206]) ).
tcf(c_69392,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_66206]) ).
tcf(c_69393,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_66206]) ).
tcf(c_69394,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_66206]) ).
tcf(c_69395,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_66206]) ).
tcf(c_69396,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_66206]) ).
tcf(c_69397,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_66206]) ).
tcf(c_69398,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_66206]) ).
tcf(c_69399,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_66206]) ).
tcf(c_69400,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_66206]) ).
tcf(c_69401,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_66206]) ).
tcf(c_69402,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_66206]) ).
tcf(c_69403,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_66206]) ).
tcf(c_69404,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_66206]) ).
tcf(c_69405,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_66206]) ).
tcf(c_69406,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_66206]) ).
tcf(c_69407,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_66206]) ).
tcf(c_69408,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_66206]) ).
tcf(c_69409,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_66206]) ).
tcf(c_69410,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_66206]) ).
tcf(c_69411,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_66206]) ).
tcf(c_69412,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_66206]) ).
tcf(c_69413,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_66206]) ).
tcf(c_69414,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_66206]) ).
tcf(c_69415,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_66206]) ).
tcf(c_69416,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_66206]) ).
tcf(c_69417,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_66206]) ).
tcf(c_69418,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_66206]) ).
tcf(c_69419,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_66206]) ).
tcf(c_69420,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_66206]) ).
tcf(c_69421,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_66206]) ).
tcf(c_69422,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_66206]) ).
tcf(c_69423,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_66206]) ).
tcf(c_69424,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_66206]) ).
tcf(c_69425,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_66206]) ).
tcf(c_69426,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_66206]) ).
tcf(c_69427,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_66206]) ).
tcf(c_69428,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_66206]) ).
tcf(c_69429,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_66206]) ).
tcf(c_69430,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_66206]) ).
tcf(c_69431,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_66206]) ).
tcf(c_69432,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_66206]) ).
tcf(c_69433,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_66206]) ).
tcf(c_69434,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_66206]) ).
tcf(c_69435,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_66206]) ).
tcf(c_69436,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_66206]) ).
tcf(c_69437,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_66206]) ).
tcf(c_69438,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_66206]) ).
tcf(c_69439,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_66206]) ).
tcf(c_69440,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_66206]) ).
tcf(c_69441,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_66206]) ).
tcf(c_69442,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_66206]) ).
tcf(c_69443,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_66206]) ).
tcf(c_69444,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_66206]) ).
tcf(c_69445,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_66206]) ).
tcf(c_69446,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_66206]) ).
tcf(c_69447,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_66206]) ).
tcf(c_69448,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_66206]) ).
tcf(c_69449,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_66206]) ).
tcf(c_69450,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_66206]) ).
tcf(c_69451,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_66206]) ).
tcf(c_69452,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_66206]) ).
tcf(c_69453,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_66206]) ).
tcf(c_69454,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_66206]) ).
tcf(c_69455,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_66206]) ).
tcf(c_69456,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_66206]) ).
tcf(c_69457,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_66206]) ).
tcf(c_69458,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_66206]) ).
tcf(c_69459,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_66206]) ).
tcf(c_69460,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_66206]) ).
tcf(c_69461,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_66206]) ).
tcf(c_69462,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_66206]) ).
tcf(c_69463,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_66206]) ).
tcf(c_69464,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_66206]) ).
tcf(c_69465,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_66206]) ).
tcf(c_69466,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_66206]) ).
tcf(c_69467,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_66206]) ).
tcf(c_69468,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_66206]) ).
tcf(c_69469,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_66206]) ).
tcf(c_69470,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_66206]) ).
tcf(c_69471,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_66206]) ).
tcf(c_69472,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_66206]) ).
tcf(c_69473,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_66206]) ).
tcf(c_69474,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_66206]) ).
tcf(c_69475,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_66206]) ).
tcf(c_69476,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_66206]) ).
tcf(c_69477,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_66206]) ).
tcf(c_69478,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_66206]) ).
tcf(c_69479,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_66206]) ).
tcf(c_69480,plain,
( ( sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_66206]) ).
tcf(c_69481,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_66206]) ).
tcf(c_69482,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_66206]) ).
tcf(c_69483,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_66206]) ).
tcf(c_69484,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_66206]) ).
tcf(c_69485,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_66206]) ).
tcf(c_69486,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_66206]) ).
tcf(c_69487,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_66206]) ).
tcf(c_69488,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_66206]) ).
tcf(c_69489,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_66206]) ).
tcf(c_69490,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_66206]) ).
tcf(c_69491,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_66206]) ).
tcf(c_69492,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_66206]) ).
tcf(c_69493,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_66206]) ).
tcf(c_69494,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_66206]) ).
tcf(c_69495,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_66206]) ).
tcf(c_69496,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_66206]) ).
tcf(c_69497,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_66206]) ).
tcf(c_69498,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_66206]) ).
tcf(c_69499,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_66206]) ).
tcf(c_69500,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_66206]) ).
tcf(c_69501,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_66206]) ).
tcf(c_69502,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_66206]) ).
tcf(c_69503,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_66206]) ).
tcf(c_69504,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_66206]) ).
tcf(c_69505,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_66206]) ).
tcf(c_69506,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_66206]) ).
tcf(c_69507,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_66206]) ).
tcf(c_69508,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_66206]) ).
tcf(c_69509,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_66206]) ).
tcf(c_69510,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_66206]) ).
tcf(c_69511,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_66206]) ).
tcf(c_69512,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_66206]) ).
tcf(c_69513,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_66206]) ).
tcf(c_69514,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_66206]) ).
tcf(c_69515,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_66206]) ).
tcf(c_69516,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_66206]) ).
tcf(c_69517,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_66206]) ).
tcf(c_69518,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_66206]) ).
tcf(c_69519,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_66206]) ).
tcf(c_69520,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_66206]) ).
tcf(c_69521,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_66206]) ).
tcf(c_69522,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_66206]) ).
tcf(c_69523,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_66206]) ).
tcf(c_69524,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_66206]) ).
tcf(c_69525,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_66206]) ).
tcf(c_69526,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_66206]) ).
tcf(c_69527,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_66206]) ).
tcf(c_69528,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_66206]) ).
tcf(c_69529,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_66206]) ).
tcf(c_69530,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_66206]) ).
tcf(c_69531,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_66206]) ).
tcf(c_69532,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_66206]) ).
tcf(c_69533,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_66206]) ).
tcf(c_69534,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_66206]) ).
tcf(c_69535,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_66206]) ).
tcf(c_69536,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_66206]) ).
tcf(c_69537,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_66206]) ).
tcf(c_69538,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_66206]) ).
tcf(c_69539,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_66206]) ).
tcf(c_69540,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_66206]) ).
tcf(c_69541,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_66206]) ).
tcf(c_69542,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_66206]) ).
tcf(c_69543,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_66206]) ).
tcf(c_69544,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_66206]) ).
tcf(c_69545,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_66206]) ).
tcf(c_69546,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_66206]) ).
tcf(c_69547,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_66206]) ).
tcf(c_69548,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_66206]) ).
tcf(c_69549,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_66206]) ).
tcf(c_69550,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_66206]) ).
tcf(c_69551,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_66206]) ).
tcf(c_69552,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_66206]) ).
tcf(c_69553,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_66206]) ).
tcf(c_69554,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_66206]) ).
tcf(c_69555,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_66206]) ).
tcf(c_69556,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_66206]) ).
tcf(c_69557,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_66206]) ).
tcf(c_69558,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_66206]) ).
tcf(c_69559,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_66206]) ).
tcf(c_69560,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_66206]) ).
tcf(c_69561,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_66206]) ).
tcf(c_69562,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_66206]) ).
tcf(c_69563,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_66206]) ).
tcf(c_69564,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_66206]) ).
tcf(c_69565,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_66206]) ).
tcf(c_69566,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_66206]) ).
tcf(c_69567,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_66206]) ).
tcf(c_69568,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_66206]) ).
tcf(c_69569,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_66206]) ).
tcf(c_69570,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_66206]) ).
tcf(c_69571,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_66206]) ).
tcf(c_69572,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_66206]) ).
tcf(c_69573,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_66206]) ).
tcf(c_69574,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_66206]) ).
tcf(c_69575,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_66206]) ).
tcf(c_69576,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_66206]) ).
tcf(c_69577,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_66206]) ).
tcf(c_69578,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_66206]) ).
tcf(c_69579,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_66206]) ).
tcf(c_69580,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_66206]) ).
tcf(c_69581,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_66206]) ).
tcf(c_69582,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_66206]) ).
tcf(c_69583,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_66206]) ).
tcf(c_69584,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_66206]) ).
tcf(c_69585,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_66206]) ).
tcf(c_69586,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_66206]) ).
tcf(c_69587,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_66206]) ).
tcf(c_69588,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_66206]) ).
tcf(c_69589,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_66206]) ).
tcf(c_69590,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_66206]) ).
tcf(c_69591,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_66206]) ).
tcf(c_69592,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_66206]) ).
tcf(c_69593,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_66206]) ).
tcf(c_69594,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_66206]) ).
tcf(c_69595,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_66206]) ).
tcf(c_69596,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_66206]) ).
tcf(c_69597,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_66206]) ).
tcf(c_69598,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_66206]) ).
tcf(c_69599,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_66206]) ).
tcf(c_69600,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_66206]) ).
tcf(c_69601,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_66206]) ).
tcf(c_69602,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_66206]) ).
tcf(c_69603,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_66206]) ).
tcf(c_69604,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_66206]) ).
tcf(c_69605,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_66206]) ).
tcf(c_69606,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_66206]) ).
tcf(c_69607,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_66206]) ).
tcf(c_69608,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_66206]) ).
tcf(c_69609,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_66206]) ).
tcf(c_69610,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_66206]) ).
tcf(c_69611,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_66206]) ).
tcf(c_69612,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_66206]) ).
tcf(c_69613,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_66206]) ).
tcf(c_69614,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_66206]) ).
tcf(c_69615,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_66206]) ).
tcf(c_69616,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_66206]) ).
tcf(c_69617,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_66206]) ).
tcf(c_69618,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_66206]) ).
tcf(c_69619,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_66206]) ).
tcf(c_69620,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_66206]) ).
tcf(c_69621,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_66206]) ).
tcf(c_69622,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_66206]) ).
tcf(c_69623,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_66206]) ).
tcf(c_69624,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_66206]) ).
tcf(c_69625,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_66206]) ).
tcf(c_69626,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_66206]) ).
tcf(c_69627,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_66206]) ).
tcf(c_69628,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_66206]) ).
tcf(c_69629,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_66206]) ).
tcf(c_69630,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_66206]) ).
tcf(c_69631,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_66206]) ).
tcf(c_69632,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_66206]) ).
tcf(c_69633,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_66206]) ).
tcf(c_69634,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_66206]) ).
tcf(c_69635,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_66206]) ).
tcf(c_69636,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_66206]) ).
tcf(c_69637,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_66206]) ).
tcf(c_69638,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_66206]) ).
tcf(c_69639,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_66206]) ).
tcf(c_69640,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_66206]) ).
tcf(c_69641,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_66206]) ).
tcf(c_69642,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_66206]) ).
tcf(c_69643,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_66206]) ).
tcf(c_69644,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_66206]) ).
tcf(c_69645,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_66206]) ).
tcf(c_69646,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_66206]) ).
tcf(c_69647,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_66206]) ).
tcf(c_69648,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_66206]) ).
tcf(c_69649,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_66206]) ).
tcf(c_69650,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_66206]) ).
tcf(c_69651,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_66206]) ).
tcf(c_69652,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_66206]) ).
tcf(c_70057,plain,
sdtasdt0(sz00,sdtasdt0(xq,xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_66207]) ).
tcf(c_70058,plain,
sdtasdt0(sz00,sdtasdt0(xq,xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_66207]) ).
tcf(c_70060,plain,
sdtasdt0(sz00,sdtasdt0(xq,sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_66207]) ).
tcf(c_70061,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_66207]) ).
tcf(c_70062,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xq,smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_66207]) ).
tcf(c_70063,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_66207]) ).
tcf(c_70070,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_66207]) ).
tcf(c_70071,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_66207]) ).
tcf(c_70078,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_66207]) ).
tcf(c_70079,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_66207]) ).
tcf(c_70081,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_66207]) ).
tcf(c_70083,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_66207]) ).
tcf(c_70087,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_66207]) ).
tcf(c_70094,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_66207]) ).
tcf(c_70095,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_66207]) ).
tcf(c_70097,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_66207]) ).
tcf(c_70098,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_66207]) ).
tcf(c_70099,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_66207]) ).
tcf(c_70100,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_66207]) ).
tcf(c_70101,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_66207]) ).
tcf(c_70102,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_66207]) ).
tcf(c_70103,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_66207]) ).
tcf(c_70104,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_66207]) ).
tcf(c_70105,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_66207]) ).
tcf(c_70106,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_66207]) ).
tcf(c_70107,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_66207]) ).
tcf(c_70108,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_66207]) ).
tcf(c_70109,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_66207]) ).
tcf(c_70110,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_66207]) ).
tcf(c_70111,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_66207]) ).
tcf(c_70112,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_66207]) ).
tcf(c_70113,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_66207]) ).
tcf(c_70114,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_66207]) ).
tcf(c_70115,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_66207]) ).
tcf(c_70116,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_66207]) ).
tcf(c_70117,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_66207]) ).
tcf(c_70118,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_66207]) ).
tcf(c_70119,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_66207]) ).
tcf(c_70120,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_66207]) ).
tcf(c_70121,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_66207]) ).
tcf(c_70122,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_66207]) ).
tcf(c_70123,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_66207]) ).
tcf(c_70124,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_66207]) ).
tcf(c_70125,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_66207]) ).
tcf(c_70126,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_66207]) ).
tcf(c_70127,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_66207]) ).
tcf(c_70128,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_66207]) ).
tcf(c_70129,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_66207]) ).
tcf(c_70130,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_66207]) ).
tcf(c_70131,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_66207]) ).
tcf(c_70132,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_66207]) ).
tcf(c_70133,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_66207]) ).
tcf(c_70134,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_66207]) ).
tcf(c_70135,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_66207]) ).
tcf(c_70136,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_66207]) ).
tcf(c_70137,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_66207]) ).
tcf(c_70138,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_66207]) ).
tcf(c_70139,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_66207]) ).
tcf(c_70140,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_66207]) ).
tcf(c_70141,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_66207]) ).
tcf(c_70142,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_66207]) ).
tcf(c_70143,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_66207]) ).
tcf(c_70144,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_66207]) ).
tcf(c_70145,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_66207]) ).
tcf(c_70146,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_66207]) ).
tcf(c_70147,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_66207]) ).
tcf(c_70148,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_66207]) ).
tcf(c_70149,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_66207]) ).
tcf(c_70150,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_66207]) ).
tcf(c_70151,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_66207]) ).
tcf(c_70152,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_66207]) ).
tcf(c_70153,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_66207]) ).
tcf(c_70154,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_66207]) ).
tcf(c_70155,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_66207]) ).
tcf(c_70156,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_66207]) ).
tcf(c_70157,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_66207]) ).
tcf(c_70158,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_66207]) ).
tcf(c_70159,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_66207]) ).
tcf(c_70160,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_66207]) ).
tcf(c_70161,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_66207]) ).
tcf(c_70162,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_66207]) ).
tcf(c_70163,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_66207]) ).
tcf(c_70164,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_66207]) ).
tcf(c_70165,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_66207]) ).
tcf(c_70166,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_66207]) ).
tcf(c_70167,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_66207]) ).
tcf(c_70168,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_66207]) ).
tcf(c_70169,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_66207]) ).
tcf(c_70170,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_66207]) ).
tcf(c_70171,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_66207]) ).
tcf(c_70172,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_66207]) ).
tcf(c_70173,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_66207]) ).
tcf(c_70174,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_66207]) ).
tcf(c_70175,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_66207]) ).
tcf(c_70176,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_66207]) ).
tcf(c_70177,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_66207]) ).
tcf(c_70178,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_66207]) ).
tcf(c_70179,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_66207]) ).
tcf(c_70180,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_66207]) ).
tcf(c_70181,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_66207]) ).
tcf(c_70182,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_66207]) ).
tcf(c_70183,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_66207]) ).
tcf(c_70184,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_66207]) ).
tcf(c_70185,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_66207]) ).
tcf(c_70186,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_66207]) ).
tcf(c_70187,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_66207]) ).
tcf(c_70188,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_66207]) ).
tcf(c_70189,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_66207]) ).
tcf(c_70190,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_66207]) ).
tcf(c_70191,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_66207]) ).
tcf(c_70192,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_66207]) ).
tcf(c_70193,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_66207]) ).
tcf(c_70194,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_66207]) ).
tcf(c_70195,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_66207]) ).
tcf(c_70196,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_66207]) ).
tcf(c_70197,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_66207]) ).
tcf(c_70198,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_66207]) ).
tcf(c_70199,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_66207]) ).
tcf(c_70200,plain,
( ( sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_66207]) ).
tcf(c_70201,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_66207]) ).
tcf(c_70202,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_66207]) ).
tcf(c_70203,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_66207]) ).
tcf(c_70204,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_66207]) ).
tcf(c_70205,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_66207]) ).
tcf(c_70206,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_66207]) ).
tcf(c_70207,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_66207]) ).
tcf(c_70208,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_66207]) ).
tcf(c_70209,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_66207]) ).
tcf(c_70210,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_66207]) ).
tcf(c_70211,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_66207]) ).
tcf(c_70212,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_66207]) ).
tcf(c_70213,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_66207]) ).
tcf(c_70214,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_66207]) ).
tcf(c_70215,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_66207]) ).
tcf(c_70216,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_66207]) ).
tcf(c_70217,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_66207]) ).
tcf(c_70218,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_66207]) ).
tcf(c_70219,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_66207]) ).
tcf(c_70220,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_66207]) ).
tcf(c_70221,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_66207]) ).
tcf(c_70222,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_66207]) ).
tcf(c_70223,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_66207]) ).
tcf(c_70224,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_66207]) ).
tcf(c_70225,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_66207]) ).
tcf(c_70226,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_66207]) ).
tcf(c_70227,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_66207]) ).
tcf(c_70228,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_66207]) ).
tcf(c_70229,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_66207]) ).
tcf(c_70230,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_66207]) ).
tcf(c_70231,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_66207]) ).
tcf(c_70232,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_66207]) ).
tcf(c_70233,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_66207]) ).
tcf(c_70234,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_66207]) ).
tcf(c_70235,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_66207]) ).
tcf(c_70236,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_66207]) ).
tcf(c_70237,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_66207]) ).
tcf(c_70238,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_66207]) ).
tcf(c_70239,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_66207]) ).
tcf(c_70240,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_66207]) ).
tcf(c_70241,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_66207]) ).
tcf(c_70242,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_66207]) ).
tcf(c_70243,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_66207]) ).
tcf(c_70244,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_66207]) ).
tcf(c_70245,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_66207]) ).
tcf(c_70246,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_66207]) ).
tcf(c_70247,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_66207]) ).
tcf(c_70248,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_66207]) ).
tcf(c_70249,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_66207]) ).
tcf(c_70250,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_66207]) ).
tcf(c_70251,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_66207]) ).
tcf(c_70252,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_66207]) ).
tcf(c_70253,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_66207]) ).
tcf(c_70254,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_66207]) ).
tcf(c_70255,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_66207]) ).
tcf(c_70256,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_66207]) ).
tcf(c_70257,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_66207]) ).
tcf(c_70258,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_66207]) ).
tcf(c_70259,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_66207]) ).
tcf(c_70260,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_66207]) ).
tcf(c_70261,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_66207]) ).
tcf(c_70262,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_66207]) ).
tcf(c_70263,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_66207]) ).
tcf(c_70264,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_66207]) ).
tcf(c_70265,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_66207]) ).
tcf(c_70266,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_66207]) ).
tcf(c_70267,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_66207]) ).
tcf(c_70268,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_66207]) ).
tcf(c_70269,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_66207]) ).
tcf(c_70270,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_66207]) ).
tcf(c_70271,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_66207]) ).
tcf(c_70272,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_66207]) ).
tcf(c_70273,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_66207]) ).
tcf(c_70274,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_66207]) ).
tcf(c_70275,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_66207]) ).
tcf(c_70276,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_66207]) ).
tcf(c_70277,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_66207]) ).
tcf(c_70278,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_66207]) ).
tcf(c_70279,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_66207]) ).
tcf(c_70280,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_66207]) ).
tcf(c_70281,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_66207]) ).
tcf(c_70282,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_66207]) ).
tcf(c_70283,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_66207]) ).
tcf(c_70284,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_66207]) ).
tcf(c_70285,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_66207]) ).
tcf(c_70286,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_66207]) ).
tcf(c_70287,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_66207]) ).
tcf(c_70288,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_66207]) ).
tcf(c_70289,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_66207]) ).
tcf(c_70290,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_66207]) ).
tcf(c_70291,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_66207]) ).
tcf(c_70292,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_66207]) ).
tcf(c_70293,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_66207]) ).
tcf(c_70294,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_66207]) ).
tcf(c_70295,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_66207]) ).
tcf(c_70296,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_66207]) ).
tcf(c_70297,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_66207]) ).
tcf(c_70298,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_66207]) ).
tcf(c_70299,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_66207]) ).
tcf(c_70300,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_66207]) ).
tcf(c_70301,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_66207]) ).
tcf(c_70302,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_66207]) ).
tcf(c_70303,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_66207]) ).
tcf(c_70304,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_66207]) ).
tcf(c_70305,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_66207]) ).
tcf(c_70306,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_66207]) ).
tcf(c_70307,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_66207]) ).
tcf(c_70308,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_66207]) ).
tcf(c_70309,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_66207]) ).
tcf(c_70310,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_66207]) ).
tcf(c_70311,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_66207]) ).
tcf(c_70312,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_66207]) ).
tcf(c_70313,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_66207]) ).
tcf(c_70314,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_66207]) ).
tcf(c_70315,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_66207]) ).
tcf(c_70316,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_66207]) ).
tcf(c_70317,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_66207]) ).
tcf(c_70318,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_66207]) ).
tcf(c_70319,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_66207]) ).
tcf(c_70320,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_66207]) ).
tcf(c_70321,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_66207]) ).
tcf(c_70322,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_66207]) ).
tcf(c_70323,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_66207]) ).
tcf(c_70324,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_66207]) ).
tcf(c_70325,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_66207]) ).
tcf(c_70326,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_66207]) ).
tcf(c_70327,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_66207]) ).
tcf(c_70328,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_66207]) ).
tcf(c_70329,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_66207]) ).
tcf(c_70330,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_66207]) ).
tcf(c_70331,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_66207]) ).
tcf(c_70332,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_66207]) ).
tcf(c_70333,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_66207]) ).
tcf(c_70334,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_66207]) ).
tcf(c_70335,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_66207]) ).
tcf(c_70336,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_66207]) ).
tcf(c_70337,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_66207]) ).
tcf(c_70338,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_66207]) ).
tcf(c_70339,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_66207]) ).
tcf(c_70340,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_66207]) ).
tcf(c_70341,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_66207]) ).
tcf(c_70342,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_66207]) ).
tcf(c_70343,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_66207]) ).
tcf(c_70344,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_66207]) ).
tcf(c_70345,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_66207]) ).
tcf(c_70346,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_66207]) ).
tcf(c_70347,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_66207]) ).
tcf(c_70348,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_66207]) ).
tcf(c_70349,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_66207]) ).
tcf(c_70350,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_66207]) ).
tcf(c_70351,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_66207]) ).
tcf(c_70352,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_66207]) ).
tcf(c_70353,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_66207]) ).
tcf(c_70354,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_66207]) ).
tcf(c_70355,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_66207]) ).
tcf(c_70356,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_66207]) ).
tcf(c_70357,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_66207]) ).
tcf(c_70358,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_66207]) ).
tcf(c_70359,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_66207]) ).
tcf(c_70360,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_66207]) ).
tcf(c_70361,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_66207]) ).
tcf(c_70362,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_66207]) ).
tcf(c_70363,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_66207]) ).
tcf(c_70364,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_66207]) ).
tcf(c_70365,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_66207]) ).
tcf(c_70366,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_66207]) ).
tcf(c_70367,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_66207]) ).
tcf(c_70368,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_66207]) ).
tcf(c_70369,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_66207]) ).
tcf(c_70370,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_66207]) ).
tcf(c_70371,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_66207]) ).
tcf(c_70372,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_66207]) ).
tcf(c_70805,plain,
sdtasdt0(sz00,sdtasdt0(xm,xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_66208]) ).
tcf(c_70806,plain,
sdtasdt0(sz00,sdtasdt0(xm,xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_66208]) ).
tcf(c_70807,plain,
sdtasdt0(sz00,sdtasdt0(xm,xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_66208]) ).
tcf(c_70808,plain,
sdtasdt0(sz00,sdtasdt0(xm,xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_66208]) ).
tcf(c_70809,plain,
sdtasdt0(sz00,sdtasdt0(xm,xm)) = sz00,
inference(superposition,[status(thm)],[c_56,c_66208]) ).
tcf(c_70810,plain,
sdtasdt0(sz00,sdtasdt0(xm,sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_66208]) ).
tcf(c_70811,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_66208]) ).
tcf(c_70812,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_66208]) ).
tcf(c_70813,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_66208]) ).
tcf(c_70815,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_66208]) ).
tcf(c_70820,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_66208]) ).
tcf(c_70821,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_66208]) ).
tcf(c_70828,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_66208]) ).
tcf(c_70829,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_66208]) ).
tcf(c_70831,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_66208]) ).
tcf(c_70833,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_66208]) ).
tcf(c_70837,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_66208]) ).
tcf(c_70844,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_66208]) ).
tcf(c_70845,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_66208]) ).
tcf(c_70847,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_66208]) ).
tcf(c_70848,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_66208]) ).
tcf(c_70849,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_66208]) ).
tcf(c_70850,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_66208]) ).
tcf(c_70851,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_66208]) ).
tcf(c_70852,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_66208]) ).
tcf(c_70853,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_66208]) ).
tcf(c_70854,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_66208]) ).
tcf(c_70855,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_66208]) ).
tcf(c_70856,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_66208]) ).
tcf(c_70857,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_66208]) ).
tcf(c_70858,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_66208]) ).
tcf(c_70859,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_66208]) ).
tcf(c_70860,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_66208]) ).
tcf(c_70861,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_66208]) ).
tcf(c_70862,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_66208]) ).
tcf(c_70863,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_66208]) ).
tcf(c_70864,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_66208]) ).
tcf(c_70865,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_66208]) ).
tcf(c_70866,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_66208]) ).
tcf(c_70867,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_66208]) ).
tcf(c_70868,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_66208]) ).
tcf(c_70869,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_66208]) ).
tcf(c_70870,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_66208]) ).
tcf(c_70871,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_66208]) ).
tcf(c_70872,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_66208]) ).
tcf(c_70873,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_66208]) ).
tcf(c_70874,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_66208]) ).
tcf(c_70875,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_66208]) ).
tcf(c_70876,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_66208]) ).
tcf(c_70877,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_66208]) ).
tcf(c_70878,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_66208]) ).
tcf(c_70879,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_66208]) ).
tcf(c_70880,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_66208]) ).
tcf(c_70881,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_66208]) ).
tcf(c_70882,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_66208]) ).
tcf(c_70883,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_66208]) ).
tcf(c_70884,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_66208]) ).
tcf(c_70885,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_66208]) ).
tcf(c_70886,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_66208]) ).
tcf(c_70887,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_66208]) ).
tcf(c_70888,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_66208]) ).
tcf(c_70889,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_66208]) ).
tcf(c_70890,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_66208]) ).
tcf(c_70891,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_66208]) ).
tcf(c_70892,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_66208]) ).
tcf(c_70893,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_66208]) ).
tcf(c_70894,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_66208]) ).
tcf(c_70895,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_66208]) ).
tcf(c_70896,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_66208]) ).
tcf(c_70897,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_66208]) ).
tcf(c_70898,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_66208]) ).
tcf(c_70899,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_66208]) ).
tcf(c_70900,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_66208]) ).
tcf(c_70901,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_66208]) ).
tcf(c_70902,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_66208]) ).
tcf(c_70903,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_66208]) ).
tcf(c_70904,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_66208]) ).
tcf(c_70905,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_66208]) ).
tcf(c_70906,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_66208]) ).
tcf(c_70907,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_66208]) ).
tcf(c_70908,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_66208]) ).
tcf(c_70909,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_66208]) ).
tcf(c_70910,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_66208]) ).
tcf(c_70911,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_66208]) ).
tcf(c_70912,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_66208]) ).
tcf(c_70913,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_66208]) ).
tcf(c_70914,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_66208]) ).
tcf(c_70915,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_66208]) ).
tcf(c_70916,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_66208]) ).
tcf(c_70917,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_66208]) ).
tcf(c_70918,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_66208]) ).
tcf(c_70919,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_66208]) ).
tcf(c_70920,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_66208]) ).
tcf(c_70921,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_66208]) ).
tcf(c_70922,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_66208]) ).
tcf(c_70923,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_66208]) ).
tcf(c_70924,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_66208]) ).
tcf(c_70925,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_66208]) ).
tcf(c_70926,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_66208]) ).
tcf(c_70927,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_66208]) ).
tcf(c_70928,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_66208]) ).
tcf(c_70929,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_66208]) ).
tcf(c_70930,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_66208]) ).
tcf(c_70931,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_66208]) ).
tcf(c_70932,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_66208]) ).
tcf(c_70933,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_66208]) ).
tcf(c_70934,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_66208]) ).
tcf(c_70935,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_66208]) ).
tcf(c_70936,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_66208]) ).
tcf(c_70937,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_66208]) ).
tcf(c_70938,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_66208]) ).
tcf(c_70939,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_66208]) ).
tcf(c_70940,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_66208]) ).
tcf(c_70941,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_66208]) ).
tcf(c_70942,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_66208]) ).
tcf(c_70943,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_66208]) ).
tcf(c_70944,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_66208]) ).
tcf(c_70945,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_66208]) ).
tcf(c_70946,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_66208]) ).
tcf(c_70947,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_66208]) ).
tcf(c_70948,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_66208]) ).
tcf(c_70949,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_66208]) ).
tcf(c_70950,plain,
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_66208]) ).
tcf(c_70951,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_66208]) ).
tcf(c_70952,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_66208]) ).
tcf(c_70953,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_66208]) ).
tcf(c_70954,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_66208]) ).
tcf(c_70955,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_66208]) ).
tcf(c_70956,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_66208]) ).
tcf(c_70957,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_66208]) ).
tcf(c_70958,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_66208]) ).
tcf(c_70959,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_66208]) ).
tcf(c_70960,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_66208]) ).
tcf(c_70961,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_66208]) ).
tcf(c_70962,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_66208]) ).
tcf(c_70963,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_66208]) ).
tcf(c_70964,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_66208]) ).
tcf(c_70965,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_66208]) ).
tcf(c_70966,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_66208]) ).
tcf(c_70967,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_66208]) ).
tcf(c_70968,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_66208]) ).
tcf(c_70969,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_66208]) ).
tcf(c_70970,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_66208]) ).
tcf(c_70971,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_66208]) ).
tcf(c_70972,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_66208]) ).
tcf(c_70973,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_66208]) ).
tcf(c_70974,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_66208]) ).
tcf(c_70975,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_66208]) ).
tcf(c_70976,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_66208]) ).
tcf(c_70977,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_66208]) ).
tcf(c_70978,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_66208]) ).
tcf(c_70979,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_66208]) ).
tcf(c_70980,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_66208]) ).
tcf(c_70981,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_66208]) ).
tcf(c_70982,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_66208]) ).
tcf(c_70983,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_66208]) ).
tcf(c_70984,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_66208]) ).
tcf(c_70985,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_66208]) ).
tcf(c_70986,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_66208]) ).
tcf(c_70987,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_66208]) ).
tcf(c_70988,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_66208]) ).
tcf(c_70989,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_66208]) ).
tcf(c_70990,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_66208]) ).
tcf(c_70991,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_66208]) ).
tcf(c_70992,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_66208]) ).
tcf(c_70993,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_66208]) ).
tcf(c_70994,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_66208]) ).
tcf(c_70995,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_66208]) ).
tcf(c_70996,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_66208]) ).
tcf(c_70997,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_66208]) ).
tcf(c_70998,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_66208]) ).
tcf(c_70999,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_66208]) ).
tcf(c_71000,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_66208]) ).
tcf(c_71001,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_66208]) ).
tcf(c_71002,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_66208]) ).
tcf(c_71003,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_66208]) ).
tcf(c_71004,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_66208]) ).
tcf(c_71005,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_66208]) ).
tcf(c_71006,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_66208]) ).
tcf(c_71007,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_66208]) ).
tcf(c_71008,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_66208]) ).
tcf(c_71009,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_66208]) ).
tcf(c_71010,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_66208]) ).
tcf(c_71011,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_66208]) ).
tcf(c_71012,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_66208]) ).
tcf(c_71013,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_66208]) ).
tcf(c_71014,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_66208]) ).
tcf(c_71015,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_66208]) ).
tcf(c_71016,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_66208]) ).
tcf(c_71017,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_66208]) ).
tcf(c_71018,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_66208]) ).
tcf(c_71019,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_66208]) ).
tcf(c_71020,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_66208]) ).
tcf(c_71021,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_66208]) ).
tcf(c_71022,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_66208]) ).
tcf(c_71023,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_66208]) ).
tcf(c_71024,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_66208]) ).
tcf(c_71025,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_66208]) ).
tcf(c_71026,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_66208]) ).
tcf(c_71027,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_66208]) ).
tcf(c_71028,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_66208]) ).
tcf(c_71029,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_66208]) ).
tcf(c_71030,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_66208]) ).
tcf(c_71031,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_66208]) ).
tcf(c_71032,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_66208]) ).
tcf(c_71033,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_66208]) ).
tcf(c_71034,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_66208]) ).
tcf(c_71035,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_66208]) ).
tcf(c_71036,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_66208]) ).
tcf(c_71037,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_66208]) ).
tcf(c_71038,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_66208]) ).
tcf(c_71039,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_66208]) ).
tcf(c_71040,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_66208]) ).
tcf(c_71041,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_66208]) ).
tcf(c_71042,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_66208]) ).
tcf(c_71043,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_66208]) ).
tcf(c_71044,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_66208]) ).
tcf(c_71045,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_66208]) ).
tcf(c_71046,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_66208]) ).
tcf(c_71047,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_66208]) ).
tcf(c_71048,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_66208]) ).
tcf(c_71049,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_66208]) ).
tcf(c_71050,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_66208]) ).
tcf(c_71051,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_66208]) ).
tcf(c_71052,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_66208]) ).
tcf(c_71053,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_66208]) ).
tcf(c_71054,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_66208]) ).
tcf(c_71055,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_66208]) ).
tcf(c_71056,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_66208]) ).
tcf(c_71057,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_66208]) ).
tcf(c_71058,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_66208]) ).
tcf(c_71059,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_66208]) ).
tcf(c_71060,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_66208]) ).
tcf(c_71061,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_66208]) ).
tcf(c_71062,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_66208]) ).
tcf(c_71063,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_66208]) ).
tcf(c_71064,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_66208]) ).
tcf(c_71065,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_66208]) ).
tcf(c_71066,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_66208]) ).
tcf(c_71067,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_66208]) ).
tcf(c_71068,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_66208]) ).
tcf(c_71069,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_66208]) ).
tcf(c_71070,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_66208]) ).
tcf(c_71071,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_66208]) ).
tcf(c_71072,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_66208]) ).
tcf(c_71073,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_66208]) ).
tcf(c_71074,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_66208]) ).
tcf(c_71075,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_66208]) ).
tcf(c_71076,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_66208]) ).
tcf(c_71077,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_66208]) ).
tcf(c_71078,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_66208]) ).
tcf(c_71079,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_66208]) ).
tcf(c_71080,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_66208]) ).
tcf(c_71081,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_66208]) ).
tcf(c_71082,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_66208]) ).
tcf(c_71083,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_66208]) ).
tcf(c_71084,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_66208]) ).
tcf(c_71085,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_66208]) ).
tcf(c_71086,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_66208]) ).
tcf(c_71087,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_66208]) ).
tcf(c_71088,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_66208]) ).
tcf(c_71089,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_66208]) ).
tcf(c_71090,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_66208]) ).
tcf(c_71091,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_66208]) ).
tcf(c_71092,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_66208]) ).
tcf(c_71093,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_66208]) ).
tcf(c_71094,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_66208]) ).
tcf(c_71095,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_66208]) ).
tcf(c_71096,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_66208]) ).
tcf(c_71097,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_66208]) ).
tcf(c_71098,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_66208]) ).
tcf(c_71099,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_66208]) ).
tcf(c_71100,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_66208]) ).
tcf(c_71101,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_66208]) ).
tcf(c_71102,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_66208]) ).
tcf(c_71103,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_66208]) ).
tcf(c_71104,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_66208]) ).
tcf(c_71105,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_66208]) ).
tcf(c_71106,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_66208]) ).
tcf(c_71107,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_66208]) ).
tcf(c_71108,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_66208]) ).
tcf(c_71109,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_66208]) ).
tcf(c_71110,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_66208]) ).
tcf(c_71111,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_66208]) ).
tcf(c_71112,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_66208]) ).
tcf(c_71113,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_66208]) ).
tcf(c_71114,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_66208]) ).
tcf(c_71115,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_66208]) ).
tcf(c_71116,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_66208]) ).
tcf(c_71117,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_66208]) ).
tcf(c_71118,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_66208]) ).
tcf(c_71119,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_66208]) ).
tcf(c_71120,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_66208]) ).
tcf(c_71121,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_66208]) ).
tcf(c_71122,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_66208]) ).
tcf(c_71658,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_66209]) ).
tcf(c_71659,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_66209]) ).
tcf(c_71660,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_66209]) ).
tcf(c_71661,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_66209]) ).
tcf(c_71662,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xm)) = sz00,
inference(superposition,[status(thm)],[c_56,c_66209]) ).
tcf(c_71663,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_64,c_66209]) ).
tcf(c_71664,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_66209]) ).
tcf(c_71665,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_66209]) ).
tcf(c_71666,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_66209]) ).
tcf(c_71667,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_66209]) ).
tcf(c_71668,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_66209]) ).
tcf(c_71669,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_66209]) ).
tcf(c_71670,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_66209]) ).
tcf(c_71671,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_66209]) ).
tcf(c_71672,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_66209]) ).
tcf(c_71673,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_66209]) ).
tcf(c_71674,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_66209]) ).
tcf(c_71675,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_66209]) ).
tcf(c_71676,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_66209]) ).
tcf(c_71677,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_66209]) ).
tcf(c_71678,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_66209]) ).
tcf(c_71679,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_66209]) ).
tcf(c_71680,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_66209]) ).
tcf(c_71681,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_66209]) ).
tcf(c_71682,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_66209]) ).
tcf(c_71683,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_66209]) ).
tcf(c_71684,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_66209]) ).
tcf(c_71685,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_66209]) ).
tcf(c_71686,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_66209]) ).
tcf(c_71687,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_66209]) ).
tcf(c_71688,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_66209]) ).
tcf(c_71689,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_66209]) ).
tcf(c_71690,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_66209]) ).
tcf(c_71691,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_66209]) ).
tcf(c_71692,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_66209]) ).
tcf(c_71693,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_66209]) ).
tcf(c_71694,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_66209]) ).
tcf(c_71695,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_66209]) ).
tcf(c_71696,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_66209]) ).
tcf(c_71697,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_66209]) ).
tcf(c_71698,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_66209]) ).
tcf(c_71699,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_66209]) ).
tcf(c_71700,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_66209]) ).
tcf(c_71701,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_66209]) ).
tcf(c_71702,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_66209]) ).
tcf(c_71703,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_66209]) ).
tcf(c_71704,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_66209]) ).
tcf(c_71705,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_66209]) ).
tcf(c_71706,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_66209]) ).
tcf(c_71707,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_66209]) ).
tcf(c_71708,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_66209]) ).
tcf(c_71709,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_66209]) ).
tcf(c_71710,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_66209]) ).
tcf(c_71711,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_66209]) ).
tcf(c_71712,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_66209]) ).
tcf(c_71713,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_66209]) ).
tcf(c_71714,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_66209]) ).
tcf(c_71715,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_66209]) ).
tcf(c_71716,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_66209]) ).
tcf(c_71717,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_66209]) ).
tcf(c_71718,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_66209]) ).
tcf(c_71719,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_66209]) ).
tcf(c_71720,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_66209]) ).
tcf(c_71721,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_66209]) ).
tcf(c_71722,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_66209]) ).
tcf(c_71723,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_66209]) ).
tcf(c_71724,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_66209]) ).
tcf(c_71725,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_66209]) ).
tcf(c_71726,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_66209]) ).
tcf(c_71727,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_66209]) ).
tcf(c_71728,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_66209]) ).
tcf(c_71729,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_66209]) ).
tcf(c_71730,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_66209]) ).
tcf(c_71731,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_66209]) ).
tcf(c_71732,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_66209]) ).
tcf(c_71733,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_66209]) ).
tcf(c_71734,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_66209]) ).
tcf(c_71735,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_66209]) ).
tcf(c_71736,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_66209]) ).
tcf(c_71737,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_66209]) ).
tcf(c_71738,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_66209]) ).
tcf(c_71739,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_66209]) ).
tcf(c_71740,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_66209]) ).
tcf(c_71741,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_66209]) ).
tcf(c_71742,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_66209]) ).
tcf(c_71743,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_66209]) ).
tcf(c_71744,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_66209]) ).
tcf(c_71745,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_66209]) ).
tcf(c_71746,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_66209]) ).
tcf(c_71747,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_66209]) ).
tcf(c_71748,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_66209]) ).
tcf(c_71749,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_66209]) ).
tcf(c_71750,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_66209]) ).
tcf(c_71751,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_66209]) ).
tcf(c_71752,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_66209]) ).
tcf(c_71753,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_66209]) ).
tcf(c_71754,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_66209]) ).
tcf(c_71755,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_66209]) ).
tcf(c_71756,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_66209]) ).
tcf(c_71757,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_66209]) ).
tcf(c_71758,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_66209]) ).
tcf(c_71759,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_66209]) ).
tcf(c_71760,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_66209]) ).
tcf(c_71761,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_66209]) ).
tcf(c_71762,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_66209]) ).
tcf(c_71763,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_66209]) ).
tcf(c_71764,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_66209]) ).
tcf(c_71765,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_66209]) ).
tcf(c_71766,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_66209]) ).
tcf(c_71767,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_66209]) ).
tcf(c_71768,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_66209]) ).
tcf(c_71769,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_66209]) ).
tcf(c_71770,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_66209]) ).
tcf(c_71771,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_66209]) ).
tcf(c_71772,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_66209]) ).
tcf(c_71773,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_66209]) ).
tcf(c_71774,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_66209]) ).
tcf(c_71775,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_66209]) ).
tcf(c_71776,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_66209]) ).
tcf(c_71777,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_66209]) ).
tcf(c_71778,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_66209]) ).
tcf(c_71779,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_66209]) ).
tcf(c_71780,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_66209]) ).
tcf(c_71781,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_66209]) ).
tcf(c_71782,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_66209]) ).
tcf(c_71783,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_66209]) ).
tcf(c_71784,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_66209]) ).
tcf(c_71785,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_66209]) ).
tcf(c_71786,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_66209]) ).
tcf(c_71787,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_66209]) ).
tcf(c_71788,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_66209]) ).
tcf(c_71789,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_66209]) ).
tcf(c_71790,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_66209]) ).
tcf(c_71791,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,smndt0(xm)))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_66209]) ).
tcf(c_71792,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_66209]) ).
tcf(c_71793,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_66209]) ).
tcf(c_71794,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_66209]) ).
tcf(c_71795,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_66209]) ).
tcf(c_71796,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_66209]) ).
tcf(c_71797,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_66209]) ).
tcf(c_71798,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_66209]) ).
tcf(c_71799,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_66209]) ).
tcf(c_71800,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,smndt0(xa)))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_66209]) ).
tcf(c_71801,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_66209]) ).
tcf(c_71802,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,smndt0(xp)))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_66209]) ).
tcf(c_71803,plain,
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,smndt0(xq)))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_66209]) ).
tcf(c_71804,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_66209]) ).
tcf(c_71805,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_66209]) ).
tcf(c_71806,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_66209]) ).
tcf(c_71807,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_66209]) ).
tcf(c_71808,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_66209]) ).
tcf(c_71809,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_66209]) ).
tcf(c_71810,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_66209]) ).
tcf(c_71811,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_66209]) ).
tcf(c_71812,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_66209]) ).
tcf(c_71813,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_66209]) ).
tcf(c_71814,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_66209]) ).
tcf(c_71815,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_66209]) ).
tcf(c_71816,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_66209]) ).
tcf(c_71817,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_66209]) ).
tcf(c_71818,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_66209]) ).
tcf(c_71819,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_66209]) ).
tcf(c_71820,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_66209]) ).
tcf(c_71821,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_66209]) ).
tcf(c_71822,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_66209]) ).
tcf(c_71823,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_66209]) ).
tcf(c_71824,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_66209]) ).
tcf(c_71825,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_66209]) ).
tcf(c_71826,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_66209]) ).
tcf(c_71827,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_66209]) ).
tcf(c_71828,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_66209]) ).
tcf(c_71829,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_66209]) ).
tcf(c_71830,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_66209]) ).
tcf(c_71831,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_66209]) ).
tcf(c_71832,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_66209]) ).
tcf(c_71833,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_66209]) ).
tcf(c_71834,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_66209]) ).
tcf(c_71835,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_66209]) ).
tcf(c_71836,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_66209]) ).
tcf(c_71837,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_66209]) ).
tcf(c_71838,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_66209]) ).
tcf(c_71839,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_66209]) ).
tcf(c_71840,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_66209]) ).
tcf(c_71841,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_66209]) ).
tcf(c_71842,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_66209]) ).
tcf(c_71843,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_66209]) ).
tcf(c_71844,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_66209]) ).
tcf(c_71845,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_66209]) ).
tcf(c_71846,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_66209]) ).
tcf(c_71847,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_66209]) ).
tcf(c_71848,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_66209]) ).
tcf(c_71849,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_66209]) ).
tcf(c_71850,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_66209]) ).
tcf(c_71851,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_66209]) ).
tcf(c_71852,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_66209]) ).
tcf(c_71853,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_66209]) ).
tcf(c_71854,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_66209]) ).
tcf(c_71855,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_66209]) ).
tcf(c_71856,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_66209]) ).
tcf(c_71857,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_66209]) ).
tcf(c_71858,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_66209]) ).
tcf(c_71859,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_66209]) ).
tcf(c_71860,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_66209]) ).
tcf(c_71861,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_66209]) ).
tcf(c_71862,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_66209]) ).
tcf(c_71863,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_66209]) ).
tcf(c_71864,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_66209]) ).
tcf(c_71865,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_66209]) ).
tcf(c_71866,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_66209]) ).
tcf(c_71867,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_66209]) ).
tcf(c_71868,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_66209]) ).
tcf(c_71869,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_66209]) ).
tcf(c_71870,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_66209]) ).
tcf(c_71871,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_66209]) ).
tcf(c_71872,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_66209]) ).
tcf(c_71873,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_66209]) ).
tcf(c_71874,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_66209]) ).
tcf(c_71875,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_66209]) ).
tcf(c_71876,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_66209]) ).
tcf(c_71877,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_66209]) ).
tcf(c_71878,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_66209]) ).
tcf(c_71879,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_66209]) ).
tcf(c_71880,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_66209]) ).
tcf(c_71881,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_66209]) ).
tcf(c_71882,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_66209]) ).
tcf(c_71883,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_66209]) ).
tcf(c_71884,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_66209]) ).
tcf(c_71885,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_66209]) ).
tcf(c_71886,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_66209]) ).
tcf(c_71887,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_66209]) ).
tcf(c_71888,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_66209]) ).
tcf(c_71889,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_66209]) ).
tcf(c_71890,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_66209]) ).
tcf(c_71891,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_66209]) ).
tcf(c_71892,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_66209]) ).
tcf(c_71893,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_66209]) ).
tcf(c_71894,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_66209]) ).
tcf(c_71895,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_66209]) ).
tcf(c_71896,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_66209]) ).
tcf(c_71897,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_66209]) ).
tcf(c_71898,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_66209]) ).
tcf(c_71899,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_66209]) ).
tcf(c_71900,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_66209]) ).
tcf(c_71901,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_66209]) ).
tcf(c_71902,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_66209]) ).
tcf(c_71903,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_66209]) ).
tcf(c_71904,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_66209]) ).
tcf(c_71905,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_66209]) ).
tcf(c_71906,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_66209]) ).
tcf(c_71907,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_66209]) ).
tcf(c_71908,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_66209]) ).
tcf(c_71909,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_66209]) ).
tcf(c_71910,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_66209]) ).
tcf(c_71911,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_66209]) ).
tcf(c_71912,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_66209]) ).
tcf(c_71913,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_66209]) ).
tcf(c_71914,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_66209]) ).
tcf(c_71915,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_66209]) ).
tcf(c_71916,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_66209]) ).
tcf(c_71917,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_66209]) ).
tcf(c_71918,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_66209]) ).
tcf(c_71919,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_66209]) ).
tcf(c_71920,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_66209]) ).
tcf(c_71921,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_66209]) ).
tcf(c_71922,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_66209]) ).
tcf(c_71923,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_66209]) ).
tcf(c_71924,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_66209]) ).
tcf(c_71925,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_66209]) ).
tcf(c_71926,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_66209]) ).
tcf(c_71927,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_66209]) ).
tcf(c_71928,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_66209]) ).
tcf(c_71929,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_66209]) ).
tcf(c_71930,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_66209]) ).
tcf(c_71931,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_66209]) ).
tcf(c_71932,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_66209]) ).
tcf(c_71933,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_66209]) ).
tcf(c_71934,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_66209]) ).
tcf(c_71935,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_66209]) ).
tcf(c_71936,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_66209]) ).
tcf(c_71937,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_66209]) ).
tcf(c_71938,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xa,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_66209]) ).
tcf(c_71939,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_66209]) ).
tcf(c_71940,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_66209]) ).
tcf(c_71941,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_66209]) ).
tcf(c_71942,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_66209]) ).
tcf(c_71943,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_66209]) ).
tcf(c_71944,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_66209]) ).
tcf(c_71945,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_66209]) ).
tcf(c_71946,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_66209]) ).
tcf(c_71947,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_66209]) ).
tcf(c_71948,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_66209]) ).
tcf(c_71949,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_66209]) ).
tcf(c_71950,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_66209]) ).
tcf(c_71951,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_66209]) ).
tcf(c_71952,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_66209]) ).
tcf(c_71953,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_66209]) ).
tcf(c_71954,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_66209]) ).
tcf(c_71955,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_66209]) ).
tcf(c_71956,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_66209]) ).
tcf(c_71957,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_66209]) ).
tcf(c_71958,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_66209]) ).
tcf(c_71959,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_66209]) ).
tcf(c_71960,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_66209]) ).
tcf(c_71961,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_66209]) ).
tcf(c_71962,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_66209]) ).
tcf(c_71963,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_66209]) ).
tcf(c_71964,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_66209]) ).
tcf(c_71965,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_66209]) ).
tcf(c_71966,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_66209]) ).
tcf(c_71967,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_66209]) ).
tcf(c_71968,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_66209]) ).
tcf(c_71969,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_66209]) ).
tcf(c_71970,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_66209]) ).
tcf(c_71971,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_66209]) ).
tcf(c_71972,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_66209]) ).
tcf(c_71973,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_66209]) ).
tcf(c_71974,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_66209]) ).
tcf(c_71975,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_66209]) ).
tcf(c_72324,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtasdt0(xq,xa)) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa)))
| ( sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5348,c_59]) ).
tcf(c_72325,plain,
( aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xa,sdtasdt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_5348,c_72]) ).
tcf(c_72326,plain,
aInteger0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(forward_subsumption_resolution,[status(thm)],[c_72325,c_56,c_5334]) ).
tcf(c_72327,plain,
( ( sz00 = xm )
| ( sdtasdt0(xa,sdtasdt0(xq,xa)) = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72324,c_56,c_5334]) ).
tcf(c_72331,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_66209]) ).
tcf(c_72332,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_66208]) ).
tcf(c_72333,plain,
sdtasdt0(sz00,sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_66207]) ).
tcf(c_72334,plain,
sdtasdt0(sz00,sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_66206]) ).
tcf(c_72335,plain,
sdtasdt0(sz00,sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_66205]) ).
tcf(c_72336,plain,
sdtasdt0(sz00,sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_66204]) ).
tcf(c_72337,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72326,c_974]) ).
tcf(c_72338,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_5998]) ).
tcf(c_72339,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_72326,c_5844]) ).
tcf(c_72340,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_4849]) ).
tcf(c_72341,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtpldt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_4744]) ).
tcf(c_72342,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtpldt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_4587]) ).
tcf(c_72343,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtpldt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_4303]) ).
tcf(c_72344,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtpldt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_3754]) ).
tcf(c_72345,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtpldt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_3178]) ).
tcf(c_72346,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_3124]) ).
tcf(c_72347,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xm) = sdtasdt0(xm,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_3080]) ).
tcf(c_72348,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xq) = sdtasdt0(xq,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_2851]) ).
tcf(c_72349,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xp) = sdtasdt0(xp,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_2623]) ).
tcf(c_72350,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xb) = sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_2294]) ).
tcf(c_72351,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),xa) = sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_1883]) ).
tcf(c_72352,plain,
sdtpldt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_1835]) ).
tcf(c_72353,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),
inference(superposition,[status(thm)],[c_72326,c_1774]) ).
tcf(c_72354,plain,
sdtasdt0(sz00,smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_5023]) ).
tcf(c_72355,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_72326,c_4917]) ).
tcf(c_72356,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_1038]) ).
tcf(c_72357,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_1004]) ).
tcf(c_72358,plain,
sdtasdt0(sz00,smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_1582]) ).
tcf(c_72359,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))),sz00) = sz00,
inference(superposition,[status(thm)],[c_72326,c_1264]) ).
tcf(c_72360,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1187]) ).
tcf(c_72361,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1186]) ).
tcf(c_72362,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtpldt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1185]) ).
tcf(c_72363,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtpldt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1184]) ).
tcf(c_72364,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtpldt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1183]) ).
tcf(c_72365,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtpldt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1182]) ).
tcf(c_72366,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1120]) ).
tcf(c_72367,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1119]) ).
tcf(c_72368,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xq) = sdtasdt0(xq,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1118]) ).
tcf(c_72369,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xp) = sdtasdt0(xp,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1117]) ).
tcf(c_72370,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xb) = sdtasdt0(xb,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1116]) ).
tcf(c_72371,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),xa) = sdtasdt0(xa,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_1115]) ).
tcf(c_72372,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_951]) ).
tcf(c_72373,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),
inference(superposition,[status(thm)],[c_72326,c_937]) ).
tcf(c_72374,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72326,c_69]) ).
tcf(c_72375,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_923]) ).
tcf(c_72376,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72326,c_68]) ).
tcf(c_72377,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72326,c_77]) ).
tcf(c_72378,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72326,c_71]) ).
tcf(c_72379,plain,
sdtasdt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_72326,c_909]) ).
tcf(c_72380,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72326,c_76]) ).
tcf(c_72381,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72326,c_70]) ).
tcf(c_72382,plain,
sdtpldt0(smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))),sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_74]) ).
tcf(c_72383,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_73]) ).
tcf(c_72384,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_72326,c_63]) ).
tcf(c_72385,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),
inference(superposition,[status(thm)],[c_72326,c_62]) ).
tcf(c_72387,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_72326,c_60]) ).
tcf(c_72489,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sz00))) = sz00,
inference(superposition,[status(thm)],[c_64,c_67881]) ).
tcf(c_72490,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_67881]) ).
tcf(c_72491,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(smndt0(X0)))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_67881]) ).
tcf(c_72492,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_67881]) ).
tcf(c_72493,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_67881]) ).
tcf(c_72494,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_67881]) ).
tcf(c_72495,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_67881]) ).
tcf(c_72496,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_67881]) ).
tcf(c_72497,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_67881]) ).
tcf(c_72498,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_67881]) ).
tcf(c_72499,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_67881]) ).
tcf(c_72500,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_67881]) ).
tcf(c_72501,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_67881]) ).
tcf(c_72502,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_67881]) ).
tcf(c_72503,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_67881]) ).
tcf(c_72504,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_67881]) ).
tcf(c_72505,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_67881]) ).
tcf(c_72506,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_67881]) ).
tcf(c_72507,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_67881]) ).
tcf(c_72508,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_67881]) ).
tcf(c_72509,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_67881]) ).
tcf(c_72510,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_67881]) ).
tcf(c_72511,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_67881]) ).
tcf(c_72512,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_67881]) ).
tcf(c_72513,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_67881]) ).
tcf(c_72514,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_67881]) ).
tcf(c_72515,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_67881]) ).
tcf(c_72516,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_67881]) ).
tcf(c_72517,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_67881]) ).
tcf(c_72518,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_67881]) ).
tcf(c_72519,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_67881]) ).
tcf(c_72520,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_67881]) ).
tcf(c_72521,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_67881]) ).
tcf(c_72522,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_67881]) ).
tcf(c_72523,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_67881]) ).
tcf(c_72524,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_67881]) ).
tcf(c_72525,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_67881]) ).
tcf(c_72526,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_67881]) ).
tcf(c_72527,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_67881]) ).
tcf(c_72528,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_67881]) ).
tcf(c_72529,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_67881]) ).
tcf(c_72530,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_67881]) ).
tcf(c_72531,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_67881]) ).
tcf(c_72532,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_67881]) ).
tcf(c_72533,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_67881]) ).
tcf(c_72534,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_67881]) ).
tcf(c_72535,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_67881]) ).
tcf(c_72536,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_67881]) ).
tcf(c_72537,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_67881]) ).
tcf(c_72538,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_67881]) ).
tcf(c_72539,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_67881]) ).
tcf(c_72540,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_67881]) ).
tcf(c_72541,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_67881]) ).
tcf(c_72542,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_67881]) ).
tcf(c_72543,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_67881]) ).
tcf(c_72544,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_67881]) ).
tcf(c_72545,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_67881]) ).
tcf(c_72546,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_67881]) ).
tcf(c_72547,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_67881]) ).
tcf(c_72548,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_67881]) ).
tcf(c_72549,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_67881]) ).
tcf(c_72550,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_67881]) ).
tcf(c_72551,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_67881]) ).
tcf(c_72552,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_67881]) ).
tcf(c_72553,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_67881]) ).
tcf(c_72554,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_67881]) ).
tcf(c_72555,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_67881]) ).
tcf(c_72556,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_67881]) ).
tcf(c_72557,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_67881]) ).
tcf(c_72558,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_67881]) ).
tcf(c_72559,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_67881]) ).
tcf(c_72560,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_67881]) ).
tcf(c_72561,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_67881]) ).
tcf(c_72562,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_67881]) ).
tcf(c_72563,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_67881]) ).
tcf(c_72564,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_67881]) ).
tcf(c_72565,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_67881]) ).
tcf(c_72566,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_67881]) ).
tcf(c_72567,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_67881]) ).
tcf(c_72568,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_67881]) ).
tcf(c_72569,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_67881]) ).
tcf(c_72570,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_67881]) ).
tcf(c_72571,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_67881]) ).
tcf(c_72572,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_67881]) ).
tcf(c_72573,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_67881]) ).
tcf(c_72574,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_67881]) ).
tcf(c_72575,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_67881]) ).
tcf(c_72576,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_67881]) ).
tcf(c_72577,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_67881]) ).
tcf(c_72578,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_67881]) ).
tcf(c_72579,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_67881]) ).
tcf(c_72580,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_67881]) ).
tcf(c_72581,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_67881]) ).
tcf(c_72582,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_67881]) ).
tcf(c_72583,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_67881]) ).
tcf(c_72584,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_67881]) ).
tcf(c_72585,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_67881]) ).
tcf(c_72586,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_67881]) ).
tcf(c_72587,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_67881]) ).
tcf(c_72588,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_67881]) ).
tcf(c_72589,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_67881]) ).
tcf(c_72590,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_67881]) ).
tcf(c_72591,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_67881]) ).
tcf(c_72592,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_67881]) ).
tcf(c_72593,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_67881]) ).
tcf(c_72594,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_67881]) ).
tcf(c_72595,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_67881]) ).
tcf(c_72596,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_67881]) ).
tcf(c_72597,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_67881]) ).
tcf(c_72598,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_67881]) ).
tcf(c_72599,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_67881]) ).
tcf(c_72600,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_67881]) ).
tcf(c_72601,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_67881]) ).
tcf(c_72602,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_67881]) ).
tcf(c_72603,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_67881]) ).
tcf(c_72604,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_67881]) ).
tcf(c_72605,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_67881]) ).
tcf(c_72606,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_67881]) ).
tcf(c_72607,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_67881]) ).
tcf(c_72608,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_67881]) ).
tcf(c_72609,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_67881]) ).
tcf(c_72610,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_67881]) ).
tcf(c_72611,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_67881]) ).
tcf(c_72612,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_67881]) ).
tcf(c_72613,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_67881]) ).
tcf(c_72614,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_67881]) ).
tcf(c_72615,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_67881]) ).
tcf(c_72616,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_67881]) ).
tcf(c_72617,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_67881]) ).
tcf(c_72618,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_67881]) ).
tcf(c_72619,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_67881]) ).
tcf(c_72620,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_67881]) ).
tcf(c_72621,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_67881]) ).
tcf(c_72622,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_67881]) ).
tcf(c_72623,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_67881]) ).
tcf(c_72624,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_67881]) ).
tcf(c_72625,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_67881]) ).
tcf(c_72626,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_67881]) ).
tcf(c_72627,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_67881]) ).
tcf(c_72628,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_67881]) ).
tcf(c_72629,plain,
( ( sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_67881]) ).
tcf(c_72630,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_67881]) ).
tcf(c_72631,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_67881]) ).
tcf(c_72632,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_67881]) ).
tcf(c_72633,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_67881]) ).
tcf(c_72634,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_67881]) ).
tcf(c_72635,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_67881]) ).
tcf(c_72636,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_67881]) ).
tcf(c_72637,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_67881]) ).
tcf(c_72638,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_67881]) ).
tcf(c_72639,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_67881]) ).
tcf(c_72640,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_67881]) ).
tcf(c_72641,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_67881]) ).
tcf(c_72642,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_67881]) ).
tcf(c_72643,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_67881]) ).
tcf(c_72644,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_67881]) ).
tcf(c_72645,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_67881]) ).
tcf(c_72646,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_67881]) ).
tcf(c_72647,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_67881]) ).
tcf(c_72648,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_67881]) ).
tcf(c_72649,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_67881]) ).
tcf(c_72650,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_67881]) ).
tcf(c_72651,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_67881]) ).
tcf(c_72652,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_67881]) ).
tcf(c_72653,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_67881]) ).
tcf(c_72654,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_67881]) ).
tcf(c_72655,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_67881]) ).
tcf(c_72656,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_67881]) ).
tcf(c_72657,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_67881]) ).
tcf(c_72658,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_67881]) ).
tcf(c_72659,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_67881]) ).
tcf(c_72660,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_67881]) ).
tcf(c_72661,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_67881]) ).
tcf(c_72662,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_67881]) ).
tcf(c_72663,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_67881]) ).
tcf(c_72664,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_67881]) ).
tcf(c_72665,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_67881]) ).
tcf(c_72666,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_67881]) ).
tcf(c_72667,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_67881]) ).
tcf(c_72668,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_67881]) ).
tcf(c_72669,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_67881]) ).
tcf(c_72670,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_67881]) ).
tcf(c_72671,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_67881]) ).
tcf(c_72672,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_67881]) ).
tcf(c_72673,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_67881]) ).
tcf(c_72674,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_67881]) ).
tcf(c_72675,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_67881]) ).
tcf(c_72676,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_67881]) ).
tcf(c_72677,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_67881]) ).
tcf(c_72678,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_67881]) ).
tcf(c_72679,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_67881]) ).
tcf(c_72680,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_67881]) ).
tcf(c_72681,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_67881]) ).
tcf(c_72682,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_67881]) ).
tcf(c_72683,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_67881]) ).
tcf(c_72684,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_67881]) ).
tcf(c_72685,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_67881]) ).
tcf(c_72686,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_67881]) ).
tcf(c_72687,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_67881]) ).
tcf(c_72688,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_67881]) ).
tcf(c_72689,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_67881]) ).
tcf(c_72690,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_67881]) ).
tcf(c_72691,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_67881]) ).
tcf(c_72692,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_67881]) ).
tcf(c_72693,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_67881]) ).
tcf(c_72694,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_67881]) ).
tcf(c_72695,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_67881]) ).
tcf(c_72696,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_67881]) ).
tcf(c_72697,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_67881]) ).
tcf(c_72698,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_67881]) ).
tcf(c_72699,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_67881]) ).
tcf(c_72700,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_67881]) ).
tcf(c_72701,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_67881]) ).
tcf(c_72702,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_67881]) ).
tcf(c_72703,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_67881]) ).
tcf(c_72704,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_67881]) ).
tcf(c_72705,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_67881]) ).
tcf(c_72706,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_67881]) ).
tcf(c_72707,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_67881]) ).
tcf(c_72708,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_67881]) ).
tcf(c_72709,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_67881]) ).
tcf(c_72710,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_67881]) ).
tcf(c_72711,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_67881]) ).
tcf(c_72712,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_67881]) ).
tcf(c_72713,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_67881]) ).
tcf(c_72714,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_67881]) ).
tcf(c_72715,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_67881]) ).
tcf(c_72716,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_67881]) ).
tcf(c_72717,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_67881]) ).
tcf(c_72718,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_67881]) ).
tcf(c_72719,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_67881]) ).
tcf(c_72720,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_67881]) ).
tcf(c_72721,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_67881]) ).
tcf(c_72722,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_67881]) ).
tcf(c_72723,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_67881]) ).
tcf(c_72724,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_67881]) ).
tcf(c_72725,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_67881]) ).
tcf(c_72726,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_67881]) ).
tcf(c_72727,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_67881]) ).
tcf(c_72728,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_67881]) ).
tcf(c_72729,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_67881]) ).
tcf(c_72730,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_67881]) ).
tcf(c_72731,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_67881]) ).
tcf(c_72732,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_67881]) ).
tcf(c_72733,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_67881]) ).
tcf(c_72734,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_67881]) ).
tcf(c_72735,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_67881]) ).
tcf(c_72736,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_67881]) ).
tcf(c_72737,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_67881]) ).
tcf(c_72738,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_67881]) ).
tcf(c_72739,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_67881]) ).
tcf(c_72740,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_67881]) ).
tcf(c_72741,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_67881]) ).
tcf(c_72742,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_67881]) ).
tcf(c_72743,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_67881]) ).
tcf(c_72744,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_67881]) ).
tcf(c_72745,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_67881]) ).
tcf(c_72746,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_67881]) ).
tcf(c_72747,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_67881]) ).
tcf(c_72748,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_67881]) ).
tcf(c_72749,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_67881]) ).
tcf(c_72750,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_67881]) ).
tcf(c_72751,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_67881]) ).
tcf(c_72752,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_67881]) ).
tcf(c_72753,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_67881]) ).
tcf(c_72754,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_67881]) ).
tcf(c_72755,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_67881]) ).
tcf(c_72756,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_67881]) ).
tcf(c_72757,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_67881]) ).
tcf(c_72758,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_67881]) ).
tcf(c_72759,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_67881]) ).
tcf(c_72760,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_67881]) ).
tcf(c_72761,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_67881]) ).
tcf(c_72762,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_67881]) ).
tcf(c_72763,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_67881]) ).
tcf(c_72764,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_67881]) ).
tcf(c_72765,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_67881]) ).
tcf(c_72766,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_67881]) ).
tcf(c_72767,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_67881]) ).
tcf(c_72768,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_67881]) ).
tcf(c_72769,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_67881]) ).
tcf(c_72770,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_67881]) ).
tcf(c_72771,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_67881]) ).
tcf(c_72772,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_67881]) ).
tcf(c_72773,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_67881]) ).
tcf(c_72774,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_67881]) ).
tcf(c_72775,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_67881]) ).
tcf(c_72776,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_67881]) ).
tcf(c_72777,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_67881]) ).
tcf(c_72778,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_67881]) ).
tcf(c_72779,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_67881]) ).
tcf(c_72780,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_67881]) ).
tcf(c_72781,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_67881]) ).
tcf(c_72782,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_67881]) ).
tcf(c_72783,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_67881]) ).
tcf(c_72784,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_67881]) ).
tcf(c_72785,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_67881]) ).
tcf(c_72786,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_67881]) ).
tcf(c_72787,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_67881]) ).
tcf(c_72788,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_67881]) ).
tcf(c_72789,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_67881]) ).
tcf(c_72790,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_67881]) ).
tcf(c_72791,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_67881]) ).
tcf(c_72792,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_67881]) ).
tcf(c_72793,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_67881]) ).
tcf(c_72794,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_67881]) ).
tcf(c_72795,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_67881]) ).
tcf(c_72796,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_67881]) ).
tcf(c_72797,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_67881]) ).
tcf(c_72798,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_67881]) ).
tcf(c_72799,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_67881]) ).
tcf(c_72800,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_67881]) ).
tcf(c_72801,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_67881]) ).
tcf(c_72802,plain,
sdtasdt0(sz00,sdtasdt0(xa,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_67881]) ).
tcf(c_73197,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sz00))) = sz00,
inference(superposition,[status(thm)],[c_64,c_68656]) ).
tcf(c_73198,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_72,c_68656]) ).
tcf(c_73199,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(smndt0(X0)))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_75,c_68656]) ).
tcf(c_73200,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(X0,X1)))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_68656]) ).
tcf(c_73201,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_1633,c_68656]) ).
tcf(c_73202,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_2661,c_68656]) ).
tcf(c_73203,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_1975,c_68656]) ).
tcf(c_73204,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_1914,c_68656]) ).
tcf(c_73205,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_2091,c_68656]) ).
tcf(c_73206,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2166,c_68656]) ).
tcf(c_73207,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_17725,c_68656]) ).
tcf(c_73208,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_13188,c_68656]) ).
tcf(c_73209,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_68656]) ).
tcf(c_73210,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_2420,c_68656]) ).
tcf(c_73211,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2484,c_68656]) ).
tcf(c_73212,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_3596,c_68656]) ).
tcf(c_73213,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2753,c_68656]) ).
tcf(c_73214,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2918,c_68656]) ).
tcf(c_73215,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_17719,c_68656]) ).
tcf(c_73216,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_13092,c_68656]) ).
tcf(c_73217,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3219,c_68656]) ).
tcf(c_73218,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_12064,c_68656]) ).
tcf(c_73219,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3339,c_68656]) ).
tcf(c_73220,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_11002,c_68656]) ).
tcf(c_73221,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,xa)))) = sz00,
inference(superposition,[status(thm)],[c_3448,c_68656]) ).
tcf(c_73222,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,xm)))) = sz00,
inference(superposition,[status(thm)],[c_3508,c_68656]) ).
tcf(c_73223,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5184,c_68656]) ).
tcf(c_73224,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_16031,c_68656]) ).
tcf(c_73225,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3799,c_68656]) ).
tcf(c_73226,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,xb)))) = sz00,
inference(superposition,[status(thm)],[c_3870,c_68656]) ).
tcf(c_73227,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4045,c_68656]) ).
tcf(c_73228,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_4122,c_68656]) ).
tcf(c_73229,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_4338,c_68656]) ).
tcf(c_73230,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4414,c_68656]) ).
tcf(c_73231,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_17473,c_68656]) ).
tcf(c_73232,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15645,c_68656]) ).
tcf(c_73233,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4657,c_68656]) ).
tcf(c_73234,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_5334,c_68656]) ).
tcf(c_73235,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_5697,c_68656]) ).
tcf(c_73236,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_6261,c_68656]) ).
tcf(c_73237,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_6470,c_68656]) ).
tcf(c_73238,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7780,c_68656]) ).
tcf(c_73239,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_7971,c_68656]) ).
tcf(c_73240,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_8068,c_68656]) ).
tcf(c_73241,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_8297,c_68656]) ).
tcf(c_73242,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8487,c_68656]) ).
tcf(c_73243,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_8671,c_68656]) ).
tcf(c_73244,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_8842,c_68656]) ).
tcf(c_73245,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_8943,c_68656]) ).
tcf(c_73246,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9094,c_68656]) ).
tcf(c_73247,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9288,c_68656]) ).
tcf(c_73248,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9370,c_68656]) ).
tcf(c_73249,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_9495,c_68656]) ).
tcf(c_73250,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_9771,c_68656]) ).
tcf(c_73251,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_9947,c_68656]) ).
tcf(c_73252,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_10089,c_68656]) ).
tcf(c_73253,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_10257,c_68656]) ).
tcf(c_73254,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_10425,c_68656]) ).
tcf(c_73255,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_10771,c_68656]) ).
tcf(c_73256,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_11095,c_68656]) ).
tcf(c_73257,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_11303,c_68656]) ).
tcf(c_73258,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11486,c_68656]) ).
tcf(c_73259,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_11844,c_68656]) ).
tcf(c_73260,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_12158,c_68656]) ).
tcf(c_73261,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_12369,c_68656]) ).
tcf(c_73262,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12548,c_68656]) ).
tcf(c_73263,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35636,c_68656]) ).
tcf(c_73264,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34211,c_68656]) ).
tcf(c_73265,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12783,c_68656]) ).
tcf(c_73266,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_12790,c_68656]) ).
tcf(c_73267,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_34611,c_68656]) ).
tcf(c_73268,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_13582,c_68656]) ).
tcf(c_73269,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_13766,c_68656]) ).
tcf(c_73270,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_13942,c_68656]) ).
tcf(c_73271,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_14139,c_68656]) ).
tcf(c_73272,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_14316,c_68656]) ).
tcf(c_73273,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_14566,c_68656]) ).
tcf(c_73274,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_14697,c_68656]) ).
tcf(c_73275,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_14932,c_68656]) ).
tcf(c_73276,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15065,c_68656]) ).
tcf(c_73277,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_15173,c_68656]) ).
tcf(c_73278,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_15391,c_68656]) ).
tcf(c_73279,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_15718,c_68656]) ).
tcf(c_73280,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16248,c_68656]) ).
tcf(c_73281,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16344,c_68656]) ).
tcf(c_73282,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_16457,c_68656]) ).
tcf(c_73283,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_16824,c_68656]) ).
tcf(c_73284,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_17047,c_68656]) ).
tcf(c_73285,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64940,c_68656]) ).
tcf(c_73286,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_17293,c_68656]) ).
tcf(c_73287,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_17869,c_68656]) ).
tcf(c_73288,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_18013,c_68656]) ).
tcf(c_73289,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18133,c_68656]) ).
tcf(c_73290,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18253,c_68656]) ).
tcf(c_73291,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_18360,c_68656]) ).
tcf(c_73292,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18366,c_68656]) ).
tcf(c_73293,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18630,c_68656]) ).
tcf(c_73294,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_18737,c_68656]) ).
tcf(c_73295,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19169,c_68656]) ).
tcf(c_73296,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_19353,c_68656]) ).
tcf(c_73297,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_19537,c_68656]) ).
tcf(c_73298,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_19827,c_68656]) ).
tcf(c_73299,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20016,c_68656]) ).
tcf(c_73300,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20116,c_68656]) ).
tcf(c_73301,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_20276,c_68656]) ).
tcf(c_73302,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_20887,c_68656]) ).
tcf(c_73303,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_21047,c_68656]) ).
tcf(c_73304,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_21119,c_68656]) ).
tcf(c_73305,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_21276,c_68656]) ).
tcf(c_73306,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_21490,c_68656]) ).
tcf(c_73307,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_21497,c_68656]) ).
tcf(c_73308,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_21836,c_68656]) ).
tcf(c_73309,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_22001,c_68656]) ).
tcf(c_73310,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22104,c_68656]) ).
tcf(c_73311,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22224,c_68656]) ).
tcf(c_73312,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_22398,c_68656]) ).
tcf(c_73313,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22405,c_68656]) ).
tcf(c_73314,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22701,c_68656]) ).
tcf(c_73315,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_22813,c_68656]) ).
tcf(c_73316,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_22925,c_68656]) ).
tcf(c_73317,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23016,c_68656]) ).
tcf(c_73318,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_23198,c_68656]) ).
tcf(c_73319,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_23306,c_68656]) ).
tcf(c_73320,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_23413,c_68656]) ).
tcf(c_73321,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_23662,c_68656]) ).
tcf(c_73322,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_24102,c_68656]) ).
tcf(c_73323,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_24297,c_68656]) ).
tcf(c_73324,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_24466,c_68656]) ).
tcf(c_73325,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,smndt0(xm))))) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_24658,c_68656]) ).
tcf(c_73326,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_24923,c_68656]) ).
tcf(c_73327,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25250,c_68656]) ).
tcf(c_73328,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25322,c_68656]) ).
tcf(c_73329,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25403,c_68656]) ).
tcf(c_73330,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_25479,c_68656]) ).
tcf(c_73331,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25632,c_68656]) ).
tcf(c_73332,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_25718,c_68656]) ).
tcf(c_73333,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_26037,c_68656]) ).
tcf(c_73334,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xa))))) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_26503,c_68656]) ).
tcf(c_73335,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xb))))) = sz00,
inference(superposition,[status(thm)],[c_26725,c_68656]) ).
tcf(c_73336,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xp))))) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_26799,c_68656]) ).
tcf(c_73337,plain,
( ( sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,smndt0(xq))))) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_27152,c_68656]) ).
tcf(c_73338,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27368,c_68656]) ).
tcf(c_73339,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27479,c_68656]) ).
tcf(c_73340,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_27929,c_68656]) ).
tcf(c_73341,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28013,c_68656]) ).
tcf(c_73342,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28092,c_68656]) ).
tcf(c_73343,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28099,c_68656]) ).
tcf(c_73344,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28255,c_68656]) ).
tcf(c_73345,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_28430,c_68656]) ).
tcf(c_73346,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29101,c_68656]) ).
tcf(c_73347,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29185,c_68656]) ).
tcf(c_73348,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29863,c_68656]) ).
tcf(c_73349,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_29947,c_68656]) ).
tcf(c_73350,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30764,c_68656]) ).
tcf(c_73351,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_30846,c_68656]) ).
tcf(c_73352,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_31107,c_68656]) ).
tcf(c_73353,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31193,c_68656]) ).
tcf(c_73354,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31470,c_68656]) ).
tcf(c_73355,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31576,c_68656]) ).
tcf(c_73356,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31696,c_68656]) ).
tcf(c_73357,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_31989,c_68656]) ).
tcf(c_73358,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_32116,c_68656]) ).
tcf(c_73359,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_32403,c_68656]) ).
tcf(c_73360,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32504,c_68656]) ).
tcf(c_73361,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_32633,c_68656]) ).
tcf(c_73362,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_32896,c_68656]) ).
tcf(c_73363,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33014,c_68656]) ).
tcf(c_73364,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33148,c_68656]) ).
tcf(c_73365,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33312,c_68656]) ).
tcf(c_73366,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_33430,c_68656]) ).
tcf(c_73367,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_33552,c_68656]) ).
tcf(c_73368,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_33702,c_68656]) ).
tcf(c_73369,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34054,c_68656]) ).
tcf(c_73370,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_34134,c_68656]) ).
tcf(c_73371,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_34456,c_68656]) ).
tcf(c_73372,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34536,c_68656]) ).
tcf(c_73373,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_34884,c_68656]) ).
tcf(c_73374,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_35008,c_68656]) ).
tcf(c_73375,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_35107,c_68656]) ).
tcf(c_73376,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35415,c_68656]) ).
tcf(c_73377,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35517,c_68656]) ).
tcf(c_73378,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_35922,c_68656]) ).
tcf(c_73379,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36051,c_68656]) ).
tcf(c_73380,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36174,c_68656]) ).
tcf(c_73381,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36420,c_68656]) ).
tcf(c_73382,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36566,c_68656]) ).
tcf(c_73383,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36674,c_68656]) ).
tcf(c_73384,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_36807,c_68656]) ).
tcf(c_73385,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37191,c_68656]) ).
tcf(c_73386,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37286,c_68656]) ).
tcf(c_73387,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37370,c_68656]) ).
tcf(c_73388,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37688,c_68656]) ).
tcf(c_73389,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_37773,c_68656]) ).
tcf(c_73390,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38058,c_68656]) ).
tcf(c_73391,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38138,c_68656]) ).
tcf(c_73392,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_38391,c_68656]) ).
tcf(c_73393,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38533,c_68656]) ).
tcf(c_73394,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_38641,c_68656]) ).
tcf(c_73395,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_38952,c_68656]) ).
tcf(c_73396,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39087,c_68656]) ).
tcf(c_73397,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39229,c_68656]) ).
tcf(c_73398,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39509,c_68656]) ).
tcf(c_73399,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_39624,c_68656]) ).
tcf(c_73400,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_39772,c_68656]) ).
tcf(c_73401,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_39885,c_68656]) ).
tcf(c_73402,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40211,c_68656]) ).
tcf(c_73403,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_40341,c_68656]) ).
tcf(c_73404,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40444,c_68656]) ).
tcf(c_73405,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_40755,c_68656]) ).
tcf(c_73406,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40864,c_68656]) ).
tcf(c_73407,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_40990,c_68656]) ).
tcf(c_73408,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41280,c_68656]) ).
tcf(c_73409,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41385,c_68656]) ).
tcf(c_73410,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_41508,c_68656]) ).
tcf(c_73411,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41800,c_68656]) ).
tcf(c_73412,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_41903,c_68656]) ).
tcf(c_73413,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42024,c_68656]) ).
tcf(c_73414,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42312,c_68656]) ).
tcf(c_73415,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_42438,c_68656]) ).
tcf(c_73416,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_42538,c_68656]) ).
tcf(c_73417,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42677,c_68656]) ).
tcf(c_73418,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_42997,c_68656]) ).
tcf(c_73419,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43127,c_68656]) ).
tcf(c_73420,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_43277,c_68656]) ).
tcf(c_73421,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_43665,c_68656]) ).
tcf(c_73422,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_43788,c_68656]) ).
tcf(c_73423,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_43903,c_68656]) ).
tcf(c_73424,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44184,c_68656]) ).
tcf(c_73425,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44327,c_68656]) ).
tcf(c_73426,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44432,c_68656]) ).
tcf(c_73427,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44748,c_68656]) ).
tcf(c_73428,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44855,c_68656]) ).
tcf(c_73429,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_44973,c_68656]) ).
tcf(c_73430,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_45104,c_68656]) ).
tcf(c_73431,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45463,c_68656]) ).
tcf(c_73432,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45589,c_68656]) ).
tcf(c_73433,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45701,c_68656]) ).
tcf(c_73434,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_45992,c_68656]) ).
tcf(c_73435,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46146,c_68656]) ).
tcf(c_73436,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46253,c_68656]) ).
tcf(c_73437,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_46534,c_68656]) ).
tcf(c_73438,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46663,c_68656]) ).
tcf(c_73439,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_46771,c_68656]) ).
tcf(c_73440,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_47110,c_68656]) ).
tcf(c_73441,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_47223,c_68656]) ).
tcf(c_73442,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47349,c_68656]) ).
tcf(c_73443,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47622,c_68656]) ).
tcf(c_73444,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_47727,c_68656]) ).
tcf(c_73445,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_47855,c_68656]) ).
tcf(c_73446,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_47954,c_68656]) ).
tcf(c_73447,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48268,c_68656]) ).
tcf(c_73448,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48393,c_68656]) ).
tcf(c_73449,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_48520,c_68656]) ).
tcf(c_73450,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48834,c_68656]) ).
tcf(c_73451,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_48937,c_68656]) ).
tcf(c_73452,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_49056,c_68656]) ).
tcf(c_73453,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49344,c_68656]) ).
tcf(c_73454,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_49470,c_68656]) ).
tcf(c_73455,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49567,c_68656]) ).
tcf(c_73456,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_49856,c_68656]) ).
tcf(c_73457,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_49982,c_68656]) ).
tcf(c_73458,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50077,c_68656]) ).
tcf(c_73459,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_50464,c_68656]) ).
tcf(c_73460,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50590,c_68656]) ).
tcf(c_73461,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_50592,c_68656]) ).
tcf(c_73462,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_50811,c_68656]) ).
tcf(c_73463,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_50968,c_68656]) ).
tcf(c_73464,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51067,c_68656]) ).
tcf(c_73465,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51199,c_68656]) ).
tcf(c_73466,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51371,c_68656]) ).
tcf(c_73467,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51489,c_68656]) ).
tcf(c_73468,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51602,c_68656]) ).
tcf(c_73469,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51775,c_68656]) ).
tcf(c_73470,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_51961,c_68656]) ).
tcf(c_73471,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52148,c_68656]) ).
tcf(c_73472,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xa,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52275,c_68656]) ).
tcf(c_73473,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_52396,c_68656]) ).
tcf(c_73474,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,smndt0(xb)))))) = sz00,
inference(superposition,[status(thm)],[c_52558,c_68656]) ).
tcf(c_73475,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52690,c_68656]) ).
tcf(c_73476,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_52793,c_68656]) ).
tcf(c_73477,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_52948,c_68656]) ).
tcf(c_73478,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53086,c_68656]) ).
tcf(c_73479,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53198,c_68656]) ).
tcf(c_73480,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_53200,c_68656]) ).
tcf(c_73481,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53527,c_68656]) ).
tcf(c_73482,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))))))) = sz00,
inference(superposition,[status(thm)],[c_53630,c_68656]) ).
tcf(c_73483,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_53972,c_68656]) ).
tcf(c_73484,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54098,c_68656]) ).
tcf(c_73485,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54199,c_68656]) ).
tcf(c_73486,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54490,c_68656]) ).
tcf(c_73487,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xa))))) = sz00,
inference(superposition,[status(thm)],[c_54616,c_68656]) ).
tcf(c_73488,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xa,xm))))) = sz00,
inference(superposition,[status(thm)],[c_54713,c_68656]) ).
tcf(c_73489,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xb))))) = sz00,
inference(superposition,[status(thm)],[c_54998,c_68656]) ).
tcf(c_73490,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xb))))) = sz00,
inference(superposition,[status(thm)],[c_55124,c_68656]) ).
tcf(c_73491,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xb,xm))))) = sz00,
inference(superposition,[status(thm)],[c_55126,c_68656]) ).
tcf(c_73492,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xq))))) = sz00,
inference(superposition,[status(thm)],[c_55353,c_68656]) ).
tcf(c_73493,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xa,xb)))))) = sz00,
inference(superposition,[status(thm)],[c_62884,c_68656]) ).
tcf(c_73494,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xp,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63014,c_68656]) ).
tcf(c_73495,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtpldt0(xq,xm))))) = sz00,
inference(superposition,[status(thm)],[c_63128,c_68656]) ).
tcf(c_73496,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63449,c_68656]) ).
tcf(c_73497,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63596,c_68656]) ).
tcf(c_73498,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63767,c_68656]) ).
tcf(c_73499,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_63919,c_68656]) ).
tcf(c_73500,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64095,c_68656]) ).
tcf(c_73501,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64266,c_68656]) ).
tcf(c_73502,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xq,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64423,c_68656]) ).
tcf(c_73503,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xp,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64598,c_68656]) ).
tcf(c_73504,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xb,sdtasdt0(xa,sdtasdt0(xp,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_64749,c_68656]) ).
tcf(c_73505,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65396,c_68656]) ).
tcf(c_73506,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xq,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65544,c_68656]) ).
tcf(c_73507,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xp,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65730,c_68656]) ).
tcf(c_73508,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xb,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_65878,c_68656]) ).
tcf(c_73509,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtpldt0(xa,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_66039,c_68656]) ).
tcf(c_73510,plain,
sdtasdt0(sz00,sdtasdt0(xb,smndt0(sdtasdt0(xm,sdtasdt0(xa,sdtasdt0(xq,xa)))))) = sz00,
inference(superposition,[status(thm)],[c_72326,c_68656]) ).
tcf(c_73963,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_73510,c_73509,c_73508,c_73507,c_73506,c_73505,c_73504,c_73503,c_73502,c_73501,c_73500,c_73499,c_73498,c_73497,c_73496,c_73495,c_73494,c_73493,c_73492,c_73491,c_73490,c_73489,c_73488,c_73487,c_73486,c_73485,c_73484,c_73483,c_73482,c_73481,c_73480,c_73479,c_73478,c_73477,c_73476,c_73475,c_73474,c_73473,c_73472,c_73471,c_73470,c_73469,c_73468,c_73467,c_73466,c_73465,c_73464,c_73463,c_73462,c_73461,c_73460,c_73459,c_73458,c_73457,c_73456,c_73455,c_73454,c_73453,c_73452,c_73451,c_73450,c_73449,c_73448,c_73447,c_73446,c_73445,c_73444,c_73443,c_73442,c_73441,c_73440,c_73439,c_73438,c_73437,c_73436,c_73435,c_73434,c_73433,c_73432,c_73431,c_73430,c_73429,c_73428,c_73427,c_73426,c_73425,c_73424,c_73423,c_73422,c_73421,c_73420,c_73419,c_73418,c_73417,c_73416,c_73415,c_73414,c_73413,c_73412,c_73411,c_73410,c_73409,c_73408,c_73407,c_73406,c_73405,c_73404,c_73403,c_73402,c_73401,c_73400,c_73399,c_73398,c_73397,c_73396,c_73395,c_73394,c_73393,c_73392,c_73391,c_73390,c_73389,c_73388,c_73387,c_73386,c_73385,c_73384,c_73383,c_73382,c_73381,c_73380,c_73379,c_73378,c_73377,c_73376,c_73375,c_73374,c_73373,c_73372,c_73371,c_73370,c_73369,c_73368,c_73367,c_73366,c_73365,c_73364,c_73363,c_73362,c_73361,c_73360,c_73359,c_73358,c_73357,c_73356,c_73355,c_73354,c_73353,c_73352,c_73351,c_73350,c_73349,c_73348,c_73347,c_73346,c_73345,c_73344,c_73343,c_73342,c_73341,c_73340,c_73339,c_73338,c_73337,c_73336,c_73335,c_73334,c_73333,c_73332,c_73331,c_73330,c_73329,c_73328,c_73327,c_73326,c_73325,c_73324,c_73323,c_73322,c_73321,c_73320,c_73319,c_73318,c_73317,c_73316,c_73315,c_73314,c_73313,c_73312,c_73311,c_73310,c_73309,c_73308,c_73307,c_73306,c_73305,c_73304,c_73303,c_73302,c_73301,c_73300,c_73299,c_73298,c_73297,c_73296,c_73295,c_73294,c_73293,c_73292,c_73291,c_73290,c_73289,c_73288,c_73287,c_73286,c_73285,c_73284,c_73283,c_73282,c_73281,c_73280,c_73279,c_73278,c_73277,c_73276,c_73275,c_73274,c_73273,c_73272,c_73271,c_73270,c_73269,c_73268,c_73267,c_73266,c_73265,c_73264,c_73263,c_73262,c_73261,c_73260,c_73259,c_73258,c_73257,c_73256,c_73255,c_73254,c_73253,c_73252,c_73251,c_73250,c_73249,c_73248,c_73247,c_73246,c_73245,c_73244,c_73243,c_73242,c_73241,c_73240,c_73239,c_73238,c_73237,c_73236,c_73235,c_73234,c_73233,c_73232,c_73231,c_73230,c_73229,c_73228,c_73227,c_73226,c_73225,c_73224,c_73223,c_73222,c_73221,c_73220,c_73219,c_73218,c_73217,c_73216,c_73215,c_73214,c_73213,c_73212,c_73211,c_73210,c_73209,c_73208,c_73207,c_73206,c_73205,c_73204,c_73203,c_73202,c_73201,c_73200,c_73199,c_73198,c_73197,c_72802,c_72801,c_72800,c_72799,c_72798,c_72797,c_72796,c_72795,c_72794,c_72793,c_72792,c_72791,c_72790,c_72789,c_72788,c_72787,c_72786,c_72785,c_72784,c_72783,c_72782,c_72781,c_72780,c_72779,c_72778,c_72777,c_72776,c_72775,c_72774,c_72773,c_72772,c_72771,c_72770,c_72769,c_72768,c_72767,c_72766,c_72765,c_72764,c_72763,c_72762,c_72761,c_72760,c_72759,c_72758,c_72757,c_72756,c_72755,c_72754,c_72753,c_72752,c_72751,c_72750,c_72749,c_72748,c_72747,c_72746,c_72745,c_72744,c_72743,c_72742,c_72741,c_72740,c_72739,c_72738,c_72737,c_72736,c_72735,c_72734,c_72733,c_72732,c_72731,c_72730,c_72729,c_72728,c_72727,c_72726,c_72725,c_72724,c_72723,c_72722,c_72721,c_72720,c_72719,c_72718,c_72717,c_72716,c_72715,c_72714,c_72713,c_72712,c_72711,c_72710,c_72709,c_72708,c_72707,c_72706,c_72705,c_72704,c_72703,c_72702,c_72701,c_72700,c_72699,c_72698,c_72697,c_72696,c_72695,c_72694,c_72693,c_72692,c_72691,c_72690,c_72689,c_72688,c_72687,c_72686,c_72685,c_72684,c_72683,c_72682,c_72681,c_72680,c_72679,c_72678,c_72677,c_72676,c_72675,c_72674,c_72673,c_72672,c_72671,c_72670,c_72669,c_72668,c_72667,c_72666,c_72665,c_72664,c_72663,c_72662,c_72661,c_72660,c_72659,c_72658,c_72657,c_72656,c_72655,c_72654,c_72653,c_72652,c_72651,c_72650,c_72649,c_72648,c_72647,c_72646,c_72645,c_72644,c_72643,c_72642,c_72641,c_72640,c_72639,c_72638,c_72637,c_72636,c_72635,c_72634,c_72633,c_72632,c_72631,c_72630,c_72629,c_72628,c_72627,c_72626,c_72625,c_72624,c_72623,c_72622,c_72621,c_72620,c_72619,c_72618,c_72617,c_72616,c_72615,c_72614,c_72613,c_72612,c_72611,c_72610,c_72609,c_72608,c_72607,c_72606,c_72605,c_72604,c_72603,c_72602,c_72601,c_72600,c_72599,c_72598,c_72597,c_72596,c_72595,c_72594,c_72593,c_72592,c_72591,c_72590,c_72589,c_72588,c_72587,c_72586,c_72585,c_72584,c_72583,c_72582,c_72581,c_72580,c_72579,c_72578,c_72577,c_72576,c_72575,c_72574,c_72573,c_72572,c_72571,c_72570,c_72569,c_72568,c_72567,c_72566,c_72565,c_72564,c_72563,c_72562,c_72561,c_72560,c_72559,c_72558,c_72557,c_72556,c_72555,c_72554,c_72553,c_72552,c_72551,c_72550,c_72549,c_72548,c_72547,c_72546,c_72545,c_72544,c_72543,c_72542,c_72541,c_72540,c_72539,c_72538,c_72537,c_72536,c_72535,c_72534,c_72533,c_72532,c_72531,c_72530,c_72529,c_72528,c_72527,c_72526,c_72525,c_72524,c_72523,c_72522,c_72521,c_72520,c_72519,c_72518,c_72517,c_72516,c_72515,c_72514,c_72513,c_72512,c_72511,c_72510,c_72509,c_72508,c_72507,c_72506,c_72505,c_72504,c_72503,c_72502,c_72501,c_72500,c_72499,c_72498,c_72497,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM435+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 03:58:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.39 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
% 0.08/0.40
% 0.08/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.40
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 46.48/7.31 % SZS status Started for theBenchmark.p
% 46.48/7.31 % SZS status Theorem for theBenchmark.p
% 46.48/7.31
% 46.48/7.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 46.48/7.31
% 46.48/7.31 % ------ iProver source info
% 46.48/7.31
% 46.48/7.31 % git: date: 2026-07-19 20:42:38 +0200
% 46.48/7.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 46.48/7.31 % git: non_committed_changes: false
% 46.48/7.31
% 46.48/7.31 % ------ Parsing...
% 46.48/7.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 46.48/7.31
% 46.48/7.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 46.48/7.31
% 46.48/7.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 46.48/7.31
% 46.48/7.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 46.48/7.31 % ------ Proving...
% 46.48/7.31 % ------ Problem Properties
% 46.48/7.31
% 46.48/7.31 %
% 46.48/7.31 % clauses 26
% 46.48/7.31 % conjectures 1
% 46.48/7.31 % EPR 8
% 46.48/7.31 % Horn 25
% 46.48/7.31 % unary 10
% 46.48/7.31 % binary 7
% 46.48/7.31 % lits 57
% 46.48/7.31 % lits eq 19
% 46.48/7.31 % fd_pure 0
% 46.48/7.31 % fd_pseudo 0
% 46.48/7.31 % fd_cond 1
% 46.48/7.31 % fd_pseudo_cond 0
% 46.48/7.31 % AC symbols 0
% 46.48/7.31
% 46.48/7.31 % ------ Schedule dynamic 5 is on
% 46.48/7.31
% 46.48/7.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 46.48/7.31
% 46.48/7.31
% 46.48/7.31 % ------
% 46.48/7.31 % Current options:
% 46.48/7.31 % ------
% 46.48/7.31
% 46.48/7.31
% 46.48/7.31 %
% 46.48/7.31
% 46.48/7.31 % ------ Proving...
% 46.48/7.31 %
% 46.48/7.31
% 46.48/7.31 % SZS status Theorem for theBenchmark.p
% 46.48/7.31
% 46.48/7.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.48/7.50
% 46.48/7.50
%------------------------------------------------------------------------------