%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG078+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Thu Sep 24 02:05:46 PM UTC 2026
% Result : Theorem 238.88s 31.32s
% Output : CNFRefutation 238.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 42
% Syntax : Number of formulae : 512 ( 257 unt; 0 def)
% Number of atoms : 1110 ( 390 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1051 ( 453 ~; 478 |; 87 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% Number of variables : 302 ( 3 sgn 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSPN,axiom,
! [X1,X2] :
( ( aVector0(X2)
& aVector0(X1) )
=> ( ( aDimensionOf0(X2) != sz00
& aDimensionOf0(X1) = aDimensionOf0(X2) )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPN) ).
fof(m__1692,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).
fof(m__1726,hypothesis,
( xq = sziznziztdt0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(m__1766,hypothesis,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(m__1678_01,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(m__1678,hypothesis,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X2)
& aVector0(X1) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(m__1800,hypothesis,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(m__1854,hypothesis,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X1)) = X1
& sdtpldt0(smndt0(X1),X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X1) = X1
& sdtpldt0(X1,sz0z00) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtpldt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(m__1892,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(m__1783,hypothesis,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(m__1873,hypothesis,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(m__1746,hypothesis,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X3,X4)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(m__1709,hypothesis,
( xp = sziznziztdt0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X3,X4)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(m__1911,hypothesis,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(m__1820,hypothesis,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(m__1949,hypothesis,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(m__1837,hypothesis,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(mDistr,axiom,
! [X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
& sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(mSqrt,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtasdt0(X1,X1) = sdtasdt0(X2,X2)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(sz0z00,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(m__1930,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(mDistr2,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
fof(m__,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__2835,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2835) ).
fof(m__1967,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1967) ).
fof(c_0_42,plain,
! [X1,X2] :
( ( aVector0(X2)
& aVector0(X1) )
=> ( ( aDimensionOf0(X2) != sz00
& aDimensionOf0(X1) = aDimensionOf0(X2) )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
inference(fof_simplification,[status(thm)],[mDefSPN]) ).
fof(c_0_43,hypothesis,
aDimensionOf0(xs) != sz00,
inference(fof_simplification,[status(thm)],[m__1692]) ).
fof(c_0_44,plain,
! [X73,X74] :
( sdtasasdt0(X73,X74) = sdtpldt0(sdtasasdt0(sziznziztdt0(X73),sziznziztdt0(X74)),sdtasdt0(sdtlbdtrb0(X73,aDimensionOf0(X73)),sdtlbdtrb0(X74,aDimensionOf0(X74))))
| aDimensionOf0(X74) = sz00
| aDimensionOf0(X73) != aDimensionOf0(X74)
| ~ aVector0(X74)
| ~ aVector0(X73) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).
fof(c_0_45,hypothesis,
! [X79] :
( xq = sziznziztdt0(xt)
& ( sdtlbdtrb0(xq,X79) = sdtlbdtrb0(xt,X79)
| ~ aNaturalNumber0(X79) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])])]) ).
cnf(c_0_46,hypothesis,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_47,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1678_01]) ).
fof(c_0_48,hypothesis,
aDimensionOf0(xs) != sz00,
inference(fof_nnf,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1)
| sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| aDimensionOf0(X2) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,hypothesis,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_53,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_54,plain,
! [X69,X70] :
( aScalar0(sdtasasdt0(X69,X70))
| aDimensionOf0(X69) != aDimensionOf0(X70)
| ~ aVector0(X70)
| ~ aVector0(X69) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])])]) ).
cnf(c_0_55,hypothesis,
( ~ aVector0(X1)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_50]),c_0_51]),c_0_52])]),c_0_53]) ).
cnf(c_0_56,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_57,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
fof(c_0_58,plain,
! [X21,X22,X23] :
( ( ~ aScalar0(X23)
| ~ aScalar0(X22)
| ~ aScalar0(X21)
| sdtasdt0(X21,X22) = sdtasdt0(X22,X21) )
& ( ~ aScalar0(X23)
| ~ aScalar0(X22)
| ~ aScalar0(X21)
| sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23)) )
& ( ~ aScalar0(X23)
| ~ aScalar0(X22)
| ~ aScalar0(X21)
| sdtpldt0(X21,X22) = sdtpldt0(X22,X21) )
& ( ~ aScalar0(X23)
| ~ aScalar0(X22)
| ~ aScalar0(X21)
| sdtpldt0(sdtpldt0(X21,X22),X23) = sdtpldt0(X21,sdtpldt0(X22,X23)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).
cnf(c_0_59,plain,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1)
| aScalar0(sdtasasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,hypothesis,
sdtasasdt0(xt,xt) = sdtpldt0(xD,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_47]),c_0_50]),c_0_56]),c_0_51]),c_0_57]),c_0_52])]) ).
fof(c_0_61,plain,
! [X31,X32] :
( ( ~ aScalar0(X32)
| ~ aScalar0(X31)
| sdtasdt0(smndt0(X31),X32) = smndt0(sdtasdt0(X31,X32)) )
& ( ~ aScalar0(X32)
| ~ aScalar0(X31)
| sdtasdt0(X31,smndt0(X32)) = smndt0(sdtasdt0(X31,X32)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).
cnf(c_0_62,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,hypothesis,
aScalar0(sdtpldt0(xD,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52])]) ).
fof(c_0_64,plain,
! [X20] :
( ( ~ aScalar0(X20)
| smndt0(sz0z00) = sz0z00 )
& ( ~ aScalar0(X20)
| smndt0(smndt0(X20)) = X20 )
& ( ~ aScalar0(X20)
| sdtpldt0(smndt0(X20),X20) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtpldt0(X20,smndt0(X20)) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtasdt0(sz0z00,X20) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtasdt0(X20,sz0z00) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtpldt0(sz0z00,X20) = X20 )
& ( ~ aScalar0(X20)
| sdtpldt0(X20,sz0z00) = X20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).
fof(c_0_65,plain,
! [X17,X18] :
( aScalar0(sdtasdt0(X17,X18))
| ~ aScalar0(X18)
| ~ aScalar0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).
fof(c_0_66,plain,
! [X19] :
( aScalar0(smndt0(X19))
| ~ aScalar0(X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).
cnf(c_0_67,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( ~ aScalar0(X1)
| smndt0(smndt0(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_71,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_72,plain,
( ~ aScalar0(X1)
| aScalar0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,hypothesis,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70]) ).
cnf(c_0_75,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_57]),c_0_71])]) ).
cnf(c_0_76,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| aScalar0(sdtasdt0(X1,smndt0(X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_70]) ).
cnf(c_0_77,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_78,plain,
( ~ aScalar0(X1)
| sdtpldt0(smndt0(X1),X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_79,plain,
( ~ aScalar0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_80,hypothesis,
smndt0(smndt0(xG)) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_57]),c_0_71])]) ).
cnf(c_0_81,hypothesis,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_75]),c_0_71])]) ).
fof(c_0_82,plain,
! [X55] :
( sdtlseqdt0(sz0z00,sdtasdt0(X55,X55))
| ~ aScalar0(X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).
fof(c_0_83,plain,
! [X40,X41,X42] :
( sdtlseqdt0(X40,X42)
| ~ sdtlseqdt0(X41,X42)
| ~ sdtlseqdt0(X40,X41)
| ~ aScalar0(X42)
| ~ aScalar0(X41)
| ~ aScalar0(X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])])]) ).
fof(c_0_84,plain,
! [X53,X54] :
( ( ~ aScalar0(X54)
| ~ aScalar0(X53)
| ~ sdtlseqdt0(sz0z00,X54)
| ~ sdtlseqdt0(sz0z00,X53)
| sdtlseqdt0(sz0z00,sdtasdt0(X53,X54)) )
& ( ~ aScalar0(X54)
| ~ aScalar0(X53)
| ~ sdtlseqdt0(sz0z00,X54)
| ~ sdtlseqdt0(sz0z00,X53)
| sdtlseqdt0(sz0z00,sdtpldt0(X53,X54)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).
fof(c_0_85,plain,
! [X15,X16] :
( aScalar0(sdtpldt0(X15,X16))
| ~ aScalar0(X16)
| ~ aScalar0(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])])]) ).
cnf(c_0_86,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_72]) ).
cnf(c_0_87,hypothesis,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_88,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_89,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_90,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_91,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_92,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_93,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
fof(c_0_94,plain,
! [X47,X48,X49,X50] :
( sdtlseqdt0(sdtasdt0(X47,X49),sdtasdt0(X48,X50))
| ~ sdtlseqdt0(X49,X50)
| ~ sdtlseqdt0(sz0z00,X49)
| ~ sdtlseqdt0(X47,X48)
| ~ aScalar0(X50)
| ~ aScalar0(X49)
| ~ aScalar0(X48)
| ~ aScalar0(X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).
cnf(c_0_95,plain,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_96,plain,
( ~ aScalar0(X1)
| sdtasdt0(sz0z00,X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_97,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_98,plain,
( ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_99,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_100,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_101,plain,
( ~ aScalar0(X1)
| sdtpldt0(X1,sz0z00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_102,hypothesis,
sdtpldt0(xG,sz0z00) = sdtpldt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_80]),c_0_88]),c_0_81])]) ).
cnf(c_0_103,hypothesis,
sdtasdt0(xC,smndt0(xG)) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_89]),c_0_88]),c_0_90])]) ).
fof(c_0_104,plain,
! [X75] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X75,X75))
| ~ aVector0(X75) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).
fof(c_0_105,hypothesis,
! [X78] :
( xp = sziznziztdt0(xs)
& ( sdtlbdtrb0(xp,X78) = sdtlbdtrb0(xs,X78)
| ~ aNaturalNumber0(X78) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])])]) ).
cnf(c_0_106,hypothesis,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X2),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_68]) ).
cnf(c_0_107,hypothesis,
sdtasdt0(xA,smndt0(xB)) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_92]),c_0_71]),c_0_93])]) ).
cnf(c_0_108,plain,
( ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_109,plain,
( ~ aScalar0(X1)
| sdtasdt0(X1,sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_110,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_111,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X1,sdtpldt0(X2,X3)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_97])]),c_0_100]) ).
cnf(c_0_112,hypothesis,
sdtpldt0(sz0z00,xG) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_88])]) ).
cnf(c_0_113,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_57]),c_0_71])]) ).
fof(c_0_114,plain,
! [X43,X44,X45,X46] :
( sdtlseqdt0(sdtpldt0(X43,X45),sdtpldt0(X44,X46))
| ~ sdtlseqdt0(X45,X46)
| ~ sdtlseqdt0(X43,X44)
| ~ aScalar0(X46)
| ~ aScalar0(X45)
| ~ aScalar0(X44)
| ~ aScalar0(X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).
cnf(c_0_115,hypothesis,
sdtasdt0(xG,smndt0(xC)) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_89]),c_0_90]),c_0_88])]) ).
cnf(c_0_116,hypothesis,
smndt0(smndt0(xR)) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_103]),c_0_89]),c_0_88]),c_0_90])]) ).
cnf(c_0_117,plain,
( ~ aVector0(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_118,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_119,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_120,plain,
! [X51,X52] :
( sdtlseqdt0(X52,X51)
| sdtlseqdt0(X51,X52)
| ~ aScalar0(X52)
| ~ aScalar0(X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).
cnf(c_0_121,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_122,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| smndt0(sdtasdt0(smndt0(X1),X2)) = sdtasdt0(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_91]),c_0_70]) ).
cnf(c_0_123,hypothesis,
sdtasdt0(smndt0(xB),xA) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_92]),c_0_93]),c_0_71])]) ).
cnf(c_0_124,hypothesis,
smndt0(smndt0(xH)) = xH,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_107]),c_0_92]),c_0_71]),c_0_93])]) ).
cnf(c_0_125,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_126,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_127,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_128,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_97])]),c_0_110])]) ).
cnf(c_0_129,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X1,xG) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_110]),c_0_88]),c_0_97])]) ).
fof(c_0_130,plain,
! [X37] :
( sdtlseqdt0(X37,X37)
| ~ aScalar0(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).
cnf(c_0_131,plain,
( ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_132,plain,
( ~ aScalar0(X1)
| sdtpldt0(sz0z00,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_133,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_67]),c_0_70]) ).
cnf(c_0_134,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_135,hypothesis,
sdtasdt0(xG,xC) = xR,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_115]),c_0_90]),c_0_88])]),c_0_116]) ).
cnf(c_0_136,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_137,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_138,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_115]),c_0_90]),c_0_88])]) ).
cnf(c_0_139,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(xB,sdtasdt0(xB,X1)) = sdtasdt0(xG,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_57]),c_0_71])]) ).
cnf(c_0_140,hypothesis,
sdtasdt0(xB,xA) = xH,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_93]),c_0_71])]) ).
cnf(c_0_141,hypothesis,
sdtasdt0(xH,xE) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_68]),c_0_126]),c_0_127])]) ).
cnf(c_0_142,hypothesis,
sdtasdt0(xB,smndt0(xA)) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_92]),c_0_93]),c_0_71])]) ).
cnf(c_0_143,hypothesis,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_88]),c_0_110]),c_0_97])]) ).
cnf(c_0_144,plain,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_145,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(X1,sdtpldt0(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_97])]) ).
cnf(c_0_146,hypothesis,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_103]),c_0_89]),c_0_88]),c_0_90])]) ).
cnf(c_0_147,hypothesis,
sdtlseqdt0(sz0z00,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_113]),c_0_90]),c_0_88])]) ).
cnf(c_0_148,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_149,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(smndt0(xR),X1)
| sdtlseqdt0(X1,smndt0(xR)) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_150,hypothesis,
sdtasdt0(xG,xA) = sdtasdt0(xB,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_93])]) ).
cnf(c_0_151,hypothesis,
sdtasdt0(smndt0(xH),xE) = smndt0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_141]),c_0_126]),c_0_127])]) ).
cnf(c_0_152,hypothesis,
( ~ aScalar0(smndt0(xA))
| aScalar0(smndt0(xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_142]),c_0_71])]) ).
cnf(c_0_153,plain,
( ~ aScalar0(X1)
| smndt0(sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_154,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
fof(c_0_155,plain,
! [X38,X39] :
( X38 = X39
| ~ sdtlseqdt0(X39,X38)
| ~ sdtlseqdt0(X38,X39)
| ~ aScalar0(X39)
| ~ aScalar0(X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).
cnf(c_0_156,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,xG)) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_157,hypothesis,
sdtasdt0(smndt0(xC),xG) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_89]),c_0_88]),c_0_90])]) ).
cnf(c_0_158,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,smndt0(xR))
| sdtlseqdt0(X1,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_138]),c_0_148])]) ).
cnf(c_0_159,hypothesis,
sdtlseqdt0(smndt0(xR),smndt0(xR)),
inference(spm,[status(thm)],[c_0_149,c_0_138]) ).
cnf(c_0_160,hypothesis,
sdtasdt0(xB,xH) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_150]),c_0_93]),c_0_88])]) ).
cnf(c_0_161,hypothesis,
sdtasdt0(xH,smndt0(xE)) = smndt0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_141]),c_0_126]),c_0_127])]) ).
cnf(c_0_162,hypothesis,
( ~ aScalar0(smndt0(xH))
| aScalar0(smndt0(xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_151]),c_0_126])]) ).
cnf(c_0_163,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_72]),c_0_93])]) ).
cnf(c_0_164,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_165,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_166,hypothesis,
( ~ aScalar0(smndt0(xC))
| sdtlseqdt0(sz0z00,smndt0(xR)) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_167,hypothesis,
sdtlseqdt0(smndt0(xR),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_138])]) ).
cnf(c_0_168,hypothesis,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_103]),c_0_80]),c_0_89]),c_0_81]),c_0_90])]) ).
cnf(c_0_169,hypothesis,
sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_160]),c_0_127]),c_0_71])]) ).
cnf(c_0_170,hypothesis,
smndt0(smndt0(xP)) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_161]),c_0_141]),c_0_126]),c_0_127])]) ).
cnf(c_0_171,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163])]) ).
cnf(c_0_172,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),sz0z00) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_96]),c_0_164]),c_0_97])]) ).
cnf(c_0_173,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(xB,X1)
| sdtlseqdt0(X1,xB) ),
inference(spm,[status(thm)],[c_0_137,c_0_71]) ).
cnf(c_0_174,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| aScalar0(sdtasdt0(smndt0(X1),X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_106]),c_0_70]) ).
cnf(c_0_175,hypothesis,
( ~ aScalar0(smndt0(xC))
| smndt0(xR) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_97]),c_0_138])]) ).
cnf(c_0_176,hypothesis,
sdtpldt0(xR,sz0z00) = sdtpldt0(sz0z00,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_168]),c_0_116]),c_0_148]),c_0_138])]) ).
cnf(c_0_177,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_178,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(xA,sdtasdt0(xB,X1)) = sdtasdt0(xH,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_92]),c_0_71]),c_0_93])]) ).
cnf(c_0_179,hypothesis,
sdtasdt0(xB,xH) = sdtasdt0(xH,xB),
inference(rw,[status(thm)],[c_0_160,c_0_169]) ).
cnf(c_0_180,hypothesis,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_170]),c_0_171])]) ).
cnf(c_0_181,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_182,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(smndt0(xP),X1)
| sdtlseqdt0(X1,smndt0(xP)) ),
inference(spm,[status(thm)],[c_0_137,c_0_171]) ).
cnf(c_0_183,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(sz0z00,smndt0(X1)) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_109]),c_0_164]),c_0_97])]) ).
cnf(c_0_184,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(xE,sdtasdt0(xH,X1)) = sdtasdt0(xP,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_125]),c_0_127]),c_0_126])]) ).
cnf(c_0_185,hypothesis,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_170]),c_0_171])]) ).
cnf(c_0_186,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(xE,X1)
| sdtlseqdt0(X1,xE) ),
inference(spm,[status(thm)],[c_0_137,c_0_126]) ).
cnf(c_0_187,hypothesis,
sdtlseqdt0(xB,xB),
inference(spm,[status(thm)],[c_0_173,c_0_71]) ).
cnf(c_0_188,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(xG,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_80]),c_0_81])]) ).
cnf(c_0_189,hypothesis,
sdtasdt0(xG,xB) = sdtasdt0(xB,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_57]),c_0_71])]) ).
cnf(c_0_190,hypothesis,
smndt0(xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_72]),c_0_90])]) ).
cnf(c_0_191,hypothesis,
sdtpldt0(sz0z00,xR) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_176]),c_0_148])]) ).
cnf(c_0_192,hypothesis,
aScalar0(sdtasdt0(xA,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_160]),c_0_127]),c_0_71])]) ).
cnf(c_0_193,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_177]),c_0_93])]) ).
cnf(c_0_194,hypothesis,
sdtasdt0(xA,sdtasdt0(xH,xB)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_127])]) ).
cnf(c_0_195,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(X1,smndt0(xP))
| sdtlseqdt0(X1,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_180]),c_0_171]),c_0_181])]) ).
cnf(c_0_196,hypothesis,
sdtlseqdt0(smndt0(xP),smndt0(xP)),
inference(spm,[status(thm)],[c_0_182,c_0_171]) ).
cnf(c_0_197,hypothesis,
sdtasdt0(sz0z00,xH) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_124]),c_0_163])]) ).
cnf(c_0_198,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(smndt0(xH),X1)
| sdtlseqdt0(X1,smndt0(xH)) ),
inference(spm,[status(thm)],[c_0_137,c_0_163]) ).
cnf(c_0_199,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(xH,X1)
| sdtlseqdt0(X1,xH) ),
inference(spm,[status(thm)],[c_0_137,c_0_127]) ).
cnf(c_0_200,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X2,xH)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_125]),c_0_127]),c_0_126])]) ).
cnf(c_0_201,hypothesis,
sdtasdt0(xE,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_109]),c_0_185]),c_0_97]),c_0_127])]) ).
cnf(c_0_202,hypothesis,
sdtlseqdt0(xE,xE),
inference(spm,[status(thm)],[c_0_186,c_0_126]) ).
cnf(c_0_203,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xB,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_187]),c_0_71])]) ).
cnf(c_0_204,hypothesis,
aScalar0(sdtasdt0(xB,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_71])]) ).
cnf(c_0_205,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_89]),c_0_88]),c_0_90])]) ).
cnf(c_0_206,hypothesis,
xR = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_190]),c_0_191]) ).
cnf(c_0_207,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(xG,X1)
| sdtlseqdt0(X1,xG) ),
inference(spm,[status(thm)],[c_0_137,c_0_88]) ).
fof(c_0_208,plain,
! [X24,X25,X26] :
( ( ~ aScalar0(X26)
| ~ aScalar0(X25)
| ~ aScalar0(X24)
| sdtasdt0(sdtpldt0(X24,X25),X26) = sdtpldt0(sdtasdt0(X24,X26),sdtasdt0(X25,X26)) )
& ( ~ aScalar0(X26)
| ~ aScalar0(X25)
| ~ aScalar0(X24)
| sdtasdt0(X24,sdtpldt0(X25,X26)) = sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(X24,X26)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])])]) ).
cnf(c_0_209,hypothesis,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_80]),c_0_81])]) ).
cnf(c_0_210,hypothesis,
sdtasdt0(xB,sdtasdt0(xH,xB)) = sdtasdt0(xG,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_179]),c_0_127])]) ).
cnf(c_0_211,hypothesis,
( ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X3,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_68]),c_0_70]) ).
cnf(c_0_212,hypothesis,
aScalar0(sdtasdt0(xH,xB)),
inference(rw,[status(thm)],[c_0_192,c_0_169]) ).
cnf(c_0_213,hypothesis,
sdtasdt0(xF,xG) = sdtasdt0(xH,xH),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_169]),c_0_88])]),c_0_194]) ).
cnf(c_0_214,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_215,hypothesis,
( ~ sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(smndt0(xP),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_171])]) ).
cnf(c_0_216,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X2,xE)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,smndt0(xH))
| sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_151]),c_0_126])]),c_0_163])]) ).
cnf(c_0_217,hypothesis,
sdtasdt0(smndt0(xH),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_197]),c_0_164]),c_0_97]),c_0_127])]) ).
cnf(c_0_218,hypothesis,
sdtlseqdt0(smndt0(xH),smndt0(xH)),
inference(spm,[status(thm)],[c_0_198,c_0_163]) ).
cnf(c_0_219,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X2,xE)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_141]),c_0_126]),c_0_127])]) ).
cnf(c_0_220,hypothesis,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_124]),c_0_163])]) ).
cnf(c_0_221,hypothesis,
sdtlseqdt0(xH,xH),
inference(spm,[status(thm)],[c_0_199,c_0_127]) ).
cnf(c_0_222,hypothesis,
( ~ sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_110]),c_0_202]),c_0_97]),c_0_126])]) ).
cnf(c_0_223,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(xH,X2)
| ~ sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xP,sdtasdt0(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_125]),c_0_127]),c_0_126])]) ).
cnf(c_0_224,hypothesis,
( ~ sdtlseqdt0(sdtasdt0(xB,xG),sz0z00)
| sdtasdt0(xB,xG) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_203]),c_0_97]),c_0_204])]) ).
cnf(c_0_225,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),sz0z00) ),
inference(rw,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_226,hypothesis,
sdtlseqdt0(xG,xG),
inference(spm,[status(thm)],[c_0_207,c_0_88]) ).
cnf(c_0_227,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_228,hypothesis,
sdtpldt0(smndt0(xG),sz0z00) = sdtpldt0(sz0z00,smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_209]),c_0_81]),c_0_88])]) ).
cnf(c_0_229,hypothesis,
sdtasdt0(xG,xH) = sdtasdt0(xH,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_57]),c_0_71]),c_0_127])]) ).
cnf(c_0_230,hypothesis,
aScalar0(sdtasdt0(xG,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_210]),c_0_212]),c_0_71])]) ).
cnf(c_0_231,hypothesis,
smndt0(sdtasdt0(xH,xH)) = sdtasdt0(xF,smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_213]),c_0_88]),c_0_214])]) ).
cnf(c_0_232,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_177]),c_0_93])]) ).
fof(c_0_233,plain,
! [X56,X57] :
( X56 = X57
| sdtasdt0(X56,X56) != sdtasdt0(X57,X57)
| ~ sdtlseqdt0(sz0z00,X57)
| ~ sdtlseqdt0(sz0z00,X56)
| ~ aScalar0(X57)
| ~ aScalar0(X56) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).
cnf(c_0_234,hypothesis,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| smndt0(xP) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_215]),c_0_171]),c_0_97])]) ).
cnf(c_0_235,hypothesis,
( ~ sdtlseqdt0(sz0z00,xE)
| sdtlseqdt0(sz0z00,smndt0(xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_110]),c_0_97]),c_0_163])]) ).
cnf(c_0_236,hypothesis,
( ~ sdtlseqdt0(sz0z00,xE)
| sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_110]),c_0_221]),c_0_97]),c_0_127])]) ).
cnf(c_0_237,hypothesis,
( ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xP,sz0z00)
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_222]),c_0_97]),c_0_181])]) ).
cnf(c_0_238,hypothesis,
( ~ sdtlseqdt0(xE,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_197]),c_0_221]),c_0_127]),c_0_97])]) ).
cnf(c_0_239,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(xA,X1)
| sdtlseqdt0(X1,xA) ),
inference(spm,[status(thm)],[c_0_137,c_0_93]) ).
cnf(c_0_240,hypothesis,
( ~ sdtlseqdt0(xB,xC)
| sdtasdt0(xB,xG) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_113]),c_0_226]),c_0_88]),c_0_71])]) ).
cnf(c_0_241,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X1,xC) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_136]),c_0_90]),c_0_97])]) ).
cnf(c_0_242,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_243,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_244,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| aScalar0(sdtasdt0(sdtpldt0(X1,X2),X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_227]),c_0_70]),c_0_70]) ).
cnf(c_0_245,hypothesis,
sdtpldt0(sz0z00,smndt0(xG)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_228]),c_0_81])]) ).
cnf(c_0_246,hypothesis,
smndt0(sdtasdt0(xH,xG)) = sdtasdt0(xG,smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_229]),c_0_127]),c_0_88])]) ).
cnf(c_0_247,hypothesis,
aScalar0(sdtasdt0(xH,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_68]),c_0_127]),c_0_88])]) ).
cnf(c_0_248,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(sdtpldt0(X1,X2),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_97])]) ).
cnf(c_0_249,hypothesis,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_107]),c_0_92]),c_0_71]),c_0_93])]) ).
cnf(c_0_250,hypothesis,
sdtasdt0(xF,smndt0(xG)) = sdtasdt0(xH,smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_231]),c_0_127])]) ).
cnf(c_0_251,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_232]),c_0_93])]) ).
fof(c_0_252,plain,
! [X33,X34] :
( sdtasdt0(smndt0(X33),smndt0(X34)) = sdtasdt0(X33,X34)
| ~ aScalar0(X34)
| ~ aScalar0(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).
cnf(c_0_253,hypothesis,
smndt0(smndt0(xF)) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_232]),c_0_177]),c_0_93])]) ).
cnf(c_0_254,plain,
( sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_255,hypothesis,
( ~ sdtlseqdt0(sz0z00,xE)
| smndt0(xP) = sz0z00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).
cnf(c_0_256,hypothesis,
( ~ sdtlseqdt0(xE,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_257,hypothesis,
( sdtlseqdt0(sz0z00,xE)
| sdtlseqdt0(xE,sz0z00) ),
inference(spm,[status(thm)],[c_0_186,c_0_97]) ).
cnf(c_0_258,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X2,xB)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_92]),c_0_71]),c_0_93])]) ).
cnf(c_0_259,hypothesis,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_109]),c_0_220]),c_0_97]),c_0_71])]) ).
cnf(c_0_260,hypothesis,
sdtlseqdt0(xA,xA),
inference(spm,[status(thm)],[c_0_239,c_0_93]) ).
cnf(c_0_261,hypothesis,
( ~ sdtlseqdt0(xB,sz0z00)
| sdtasdt0(xB,xG) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_71])]) ).
cnf(c_0_262,hypothesis,
( sdtlseqdt0(sz0z00,xB)
| sdtlseqdt0(xB,sz0z00) ),
inference(spm,[status(thm)],[c_0_173,c_0_97]) ).
cnf(c_0_263,hypothesis,
sdtasdt0(xD,xF) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_68]),c_0_214]),c_0_243])]) ).
cnf(c_0_264,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(smndt0(xG),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_81]),c_0_97])]) ).
cnf(c_0_265,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2)) ),
inference(spm,[status(thm)],[c_0_67,c_0_91]) ).
cnf(c_0_266,hypothesis,
sdtasdt0(xG,smndt0(xH)) = sdtasdt0(xH,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_229]),c_0_88]),c_0_127])]),c_0_246]) ).
cnf(c_0_267,hypothesis,
aScalar0(sdtasdt0(xG,smndt0(xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_246]),c_0_247])]) ).
cnf(c_0_268,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_164]),c_0_97])]) ).
cnf(c_0_269,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(xH,sz0z00)
| ~ sdtlseqdt0(smndt0(xH),X1)
| sdtlseqdt0(sz0z00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_163]),c_0_127])]) ).
cnf(c_0_270,hypothesis,
smndt0(sdtasdt0(xH,smndt0(xH))) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_250]),c_0_80]),c_0_213]),c_0_81]),c_0_214])]) ).
cnf(c_0_271,hypothesis,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_232]),c_0_177]),c_0_93])]) ).
cnf(c_0_272,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_177]),c_0_93])]) ).
cnf(c_0_273,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(smndt0(xF),X1)
| sdtlseqdt0(X1,smndt0(xF)) ),
inference(spm,[status(thm)],[c_0_137,c_0_251]) ).
cnf(c_0_274,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_252]) ).
cnf(c_0_275,hypothesis,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_253]),c_0_251])]) ).
cnf(c_0_276,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xH,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_221]),c_0_127])]) ).
cnf(c_0_277,hypothesis,
( sdtlseqdt0(xC,xH)
| sdtlseqdt0(xH,xC) ),
inference(spm,[status(thm)],[c_0_199,c_0_90]) ).
cnf(c_0_278,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X1,X1) != sdtasdt0(xG,xG)
| X1 = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_113]),c_0_88])]) ).
cnf(c_0_279,hypothesis,
( ~ sdtlseqdt0(sz0z00,xE)
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_255]),c_0_164]),c_0_181])]) ).
cnf(c_0_280,hypothesis,
( ~ sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sz0z00,xE)
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_281,hypothesis,
( ~ sdtlseqdt0(sz0z00,xB)
| sdtlseqdt0(sz0z00,xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_110]),c_0_260]),c_0_97]),c_0_93])]) ).
cnf(c_0_282,hypothesis,
( sdtlseqdt0(sz0z00,xB)
| sdtasdt0(xB,xG) = sz0z00 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_283,hypothesis,
sdtasdt0(xE,smndt0(xH)) = smndt0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_125]),c_0_127]),c_0_126])]) ).
cnf(c_0_284,hypothesis,
sdtasdt0(xD,smndt0(xF)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_263]),c_0_214]),c_0_243])]) ).
cnf(c_0_285,hypothesis,
sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_242]),c_0_243]),c_0_214])]) ).
cnf(c_0_286,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_287,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_288,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(xG,smndt0(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_88])]) ).
cnf(c_0_289,hypothesis,
smndt0(sdtasdt0(xH,smndt0(xG))) = sdtasdt0(xH,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_266]),c_0_124]),c_0_229]),c_0_163]),c_0_88])]) ).
cnf(c_0_290,hypothesis,
aScalar0(sdtasdt0(xH,smndt0(xG))),
inference(rw,[status(thm)],[c_0_267,c_0_266]) ).
cnf(c_0_291,plain,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X1,X1) != sz0z00
| X1 = sz0z00 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_144]),c_0_97])]),c_0_268]) ).
cnf(c_0_292,hypothesis,
( ~ sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_144]),c_0_163])]) ).
cnf(c_0_293,hypothesis,
sdtasdt0(smndt0(xH),smndt0(xH)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_270]),c_0_163]),c_0_127])]) ).
cnf(c_0_294,hypothesis,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_80]),c_0_81])]) ).
cnf(c_0_295,hypothesis,
sdtasdt0(smndt0(xF),xG) = sdtasdt0(xF,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_213]),c_0_88]),c_0_214])]),c_0_231]) ).
cnf(c_0_296,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,smndt0(xF))
| sdtlseqdt0(X1,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_271]),c_0_272]),c_0_251]),c_0_214])]) ).
cnf(c_0_297,hypothesis,
sdtlseqdt0(smndt0(xF),smndt0(xF)),
inference(spm,[status(thm)],[c_0_273,c_0_251]) ).
cnf(c_0_298,hypothesis,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_194]),c_0_212]),c_0_93])]) ).
cnf(c_0_299,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),xG) = sdtasdt0(X1,smndt0(xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_80]),c_0_81])]) ).
cnf(c_0_300,hypothesis,
sdtpldt0(xF,sz0z00) = sdtpldt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_275]),c_0_253]),c_0_214]),c_0_251])]) ).
cnf(c_0_301,hypothesis,
( ~ sdtlseqdt0(sdtasdt0(xH,xG),sz0z00)
| sdtasdt0(xH,xG) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_276]),c_0_97]),c_0_247])]) ).
cnf(c_0_302,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,xC)
| sdtlseqdt0(X1,xH)
| sdtlseqdt0(xH,xC) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_277]),c_0_127]),c_0_90])]) ).
cnf(c_0_303,hypothesis,
( sdtasdt0(sdtasdt0(xH,xG),sdtasdt0(xH,xG)) != sdtasdt0(xG,xG)
| sdtasdt0(xH,xG) = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_276]),c_0_247])]) ).
cnf(c_0_304,hypothesis,
( ~ sdtlseqdt0(sz0z00,xH)
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_305,hypothesis,
( sdtlseqdt0(sz0z00,xH)
| sdtasdt0(xB,xG) = sz0z00 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_306,hypothesis,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_80]),c_0_81])]) ).
cnf(c_0_307,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,smndt0(xH))
| sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_283]),c_0_126])]),c_0_163])]) ).
cnf(c_0_308,hypothesis,
smndt0(smndt0(xS)) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_284]),c_0_263]),c_0_214]),c_0_243])]) ).
cnf(c_0_309,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_285]),c_0_243]),c_0_214])]) ).
cnf(c_0_310,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_56]),c_0_286])]) ).
cnf(c_0_311,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(spm,[status(thm)],[c_0_287,c_0_63]) ).
cnf(c_0_312,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasdt0(xH,xG),xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_276]),c_0_247]),c_0_97])]) ).
cnf(c_0_313,hypothesis,
aScalar0(sdtasdt0(xG,sdtasdt0(xH,xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290])]) ).
cnf(c_0_314,hypothesis,
( ~ sdtlseqdt0(xH,sz0z00)
| sdtasdt0(xH,xH) != sz0z00
| smndt0(xH) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]),c_0_163])]) ).
cnf(c_0_315,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_294]),c_0_88]),c_0_97])]) ).
cnf(c_0_316,hypothesis,
sdtasdt0(smndt0(xF),xG) = sdtasdt0(xH,smndt0(xH)),
inference(rw,[status(thm)],[c_0_295,c_0_250]) ).
cnf(c_0_317,hypothesis,
sdtlseqdt0(smndt0(xF),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_251])]) ).
cnf(c_0_318,hypothesis,
aScalar0(sdtasdt0(xF,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_231]),c_0_298])]) ).
cnf(c_0_319,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(xC,sdtasdt0(smndt0(xG),X1)) = sdtasdt0(smndt0(xR),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_103]),c_0_90])]),c_0_81])]) ).
cnf(c_0_320,hypothesis,
sdtasdt0(smndt0(xG),smndt0(xG)) = sdtasdt0(xG,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_80]),c_0_81])]) ).
cnf(c_0_321,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(smndt0(xG),X1)
| sdtlseqdt0(X1,smndt0(xG)) ),
inference(spm,[status(thm)],[c_0_137,c_0_81]) ).
cnf(c_0_322,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),xF) = sdtasdt0(X1,smndt0(xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_253]),c_0_251])]) ).
cnf(c_0_323,hypothesis,
sdtpldt0(sz0z00,xF) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_300]),c_0_214])]) ).
fof(c_0_324,plain,
! [X27,X28,X29,X30] :
( sdtasdt0(sdtpldt0(X27,X28),sdtpldt0(X29,X30)) = sdtpldt0(sdtpldt0(sdtasdt0(X27,X29),sdtasdt0(X27,X30)),sdtpldt0(sdtasdt0(X28,X29),sdtasdt0(X28,X30)))
| ~ aScalar0(X30)
| ~ aScalar0(X29)
| ~ aScalar0(X28)
| ~ aScalar0(X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr2])])]) ).
cnf(c_0_325,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_326,hypothesis,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_170]),c_0_171])]) ).
cnf(c_0_327,hypothesis,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_124]),c_0_163])]) ).
cnf(c_0_328,hypothesis,
( ~ sdtlseqdt0(xH,xC)
| sdtasdt0(xH,xG) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_225]),c_0_113]),c_0_226]),c_0_88]),c_0_127])]) ).
cnf(c_0_329,hypothesis,
( sdtlseqdt0(xH,xC)
| sdtlseqdt0(sz0z00,xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_136]),c_0_97])]) ).
cnf(c_0_330,hypothesis,
( sdtasdt0(xH,sdtasdt0(xG,sdtasdt0(xH,xG))) != sdtasdt0(xG,xG)
| sdtasdt0(xH,xG) = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_211]),c_0_247]),c_0_88]),c_0_127])]) ).
cnf(c_0_331,hypothesis,
( xP = sz0z00
| sdtasdt0(xB,xG) = sz0z00 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_332,hypothesis,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_109]),c_0_306]),c_0_97]),c_0_71])]) ).
cnf(c_0_333,hypothesis,
( ~ sdtlseqdt0(sz0z00,smndt0(xH))
| sdtlseqdt0(sz0z00,smndt0(xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_201]),c_0_110]),c_0_202]),c_0_97]),c_0_126])]) ).
cnf(c_0_334,hypothesis,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_308]),c_0_309])]) ).
cnf(c_0_335,hypothesis,
sdtlseqdt0(sz0z00,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_263]),c_0_272]),c_0_310]),c_0_214]),c_0_243])]) ).
cnf(c_0_336,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_337,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(smndt0(xS),X1)
| sdtlseqdt0(X1,smndt0(xS)) ),
inference(spm,[status(thm)],[c_0_137,c_0_309]) ).
cnf(c_0_338,hypothesis,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(X1),xq))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))
| ~ aVector0(X1)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| sdtpldt0(sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB),sdtasasdt0(sziznziztdt0(X1),xq)) = sdtasasdt0(X1,xt) ),
inference(spm,[status(thm)],[c_0_55,c_0_311]) ).
cnf(c_0_339,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xH,sdtasdt0(xG,xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_121]),c_0_88]),c_0_127])]) ).
cnf(c_0_340,hypothesis,
aScalar0(sdtasdt0(xH,sdtasdt0(xG,xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_211]),c_0_88]),c_0_127])]) ).
cnf(c_0_341,hypothesis,
( ~ sdtlseqdt0(xH,sz0z00)
| sdtasdt0(xH,xH) != sz0z00
| xH = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_314]),c_0_164]),c_0_127])]) ).
cnf(c_0_342,hypothesis,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xH,sz0z00) ),
inference(spm,[status(thm)],[c_0_199,c_0_97]) ).
cnf(c_0_343,hypothesis,
sdtlseqdt0(sdtasdt0(xH,smndt0(xH)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_113]),c_0_226]),c_0_317]),c_0_88]),c_0_251])]) ).
cnf(c_0_344,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xH,smndt0(xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_297]),c_0_295]),c_0_250]),c_0_251])]) ).
cnf(c_0_345,hypothesis,
aScalar0(sdtasdt0(xH,smndt0(xH))),
inference(rw,[status(thm)],[c_0_318,c_0_250]) ).
cnf(c_0_346,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(xC,sdtasdt0(smndt0(xG),X1)) = sdtasdt0(sz0z00,X1) ),
inference(rw,[status(thm)],[c_0_319,c_0_190]) ).
cnf(c_0_347,hypothesis,
smndt0(sdtasdt0(xG,xG)) = sdtasdt0(smndt0(xG),xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_320]),c_0_80]),c_0_81])]) ).
cnf(c_0_348,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,smndt0(xG))
| sdtlseqdt0(X1,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_209]),c_0_113]),c_0_81]),c_0_88])]) ).
cnf(c_0_349,hypothesis,
sdtlseqdt0(smndt0(xG),smndt0(xG)),
inference(spm,[status(thm)],[c_0_321,c_0_81]) ).
cnf(c_0_350,hypothesis,
sdtasdt0(smndt0(xF),smndt0(xF)) = sdtasdt0(xF,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_253]),c_0_251])]) ).
cnf(c_0_351,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(X1,xF) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_323]),c_0_272]),c_0_110]),c_0_214]),c_0_97])]) ).
cnf(c_0_352,plain,
( ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_324]) ).
cnf(c_0_353,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz0z00,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_109]),c_0_97])]) ).
cnf(c_0_354,hypothesis,
sdtpldt0(xP,sz0z00) = sdtpldt0(sz0z00,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_326]),c_0_170]),c_0_181]),c_0_171])]) ).
cnf(c_0_355,hypothesis,
sdtpldt0(xH,sz0z00) = sdtpldt0(sz0z00,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_327]),c_0_124]),c_0_127]),c_0_163])]) ).
cnf(c_0_356,hypothesis,
( sdtlseqdt0(sz0z00,xH)
| sdtasdt0(xH,xG) = sz0z00 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_357,hypothesis,
( sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xG,xG))) != sdtasdt0(xG,xG)
| sdtasdt0(xH,xG) = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_211]),c_0_88]),c_0_127])]) ).
cnf(c_0_358,hypothesis,
( xP = sz0z00
| sdtasdt0(xG,xG) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_331]),c_0_332]),c_0_88])]) ).
cnf(c_0_359,hypothesis,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| smndt0(xP) = sz0z00 ),
inference(spm,[status(thm)],[c_0_234,c_0_333]) ).
cnf(c_0_360,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,smndt0(xS))
| sdtlseqdt0(X1,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_334]),c_0_335]),c_0_309]),c_0_336])]) ).
cnf(c_0_361,hypothesis,
sdtlseqdt0(smndt0(xS),smndt0(xS)),
inference(spm,[status(thm)],[c_0_337,c_0_309]) ).
cnf(c_0_362,hypothesis,
sdtasdt0(smndt0(xF),xD) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_242]),c_0_243]),c_0_214])]) ).
cnf(c_0_363,hypothesis,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_253]),c_0_251])]) ).
cnf(c_0_364,hypothesis,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_308]),c_0_309])]) ).
cnf(c_0_365,hypothesis,
sdtpldt0(xG,xD) = sdtpldt0(xD,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_50]),c_0_47]),c_0_51]),c_0_57]),c_0_56]),c_0_60]),c_0_47]),c_0_52]),c_0_47]),c_0_51]),c_0_57]),c_0_88]),c_0_56]),c_0_243])]) ).
cnf(c_0_366,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X1,X1) != sdtasdt0(xF,xF)
| X1 = xF ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_272]),c_0_214])]) ).
cnf(c_0_367,hypothesis,
( sdtasdt0(sdtasdt0(xH,sdtasdt0(xG,xG)),sdtasdt0(xH,sdtasdt0(xG,xG))) != sdtasdt0(xG,xG)
| sdtasdt0(xH,sdtasdt0(xG,xG)) = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_339]),c_0_340])]) ).
cnf(c_0_368,hypothesis,
aScalar0(sdtasdt0(xG,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_80]),c_0_81])]) ).
cnf(c_0_369,hypothesis,
( sdtasdt0(xH,xH) != sz0z00
| sdtlseqdt0(sz0z00,xH)
| xH = sz0z00 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_370,hypothesis,
sdtasdt0(xH,smndt0(xH)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_343]),c_0_344]),c_0_345]),c_0_97])]) ).
cnf(c_0_371,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_74]),c_0_76]) ).
cnf(c_0_372,hypothesis,
sdtasdt0(xC,sdtasdt0(xG,smndt0(xG))) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_299]),c_0_294]),c_0_88])]) ).
cnf(c_0_373,hypothesis,
sdtasdt0(smndt0(xG),xG) = sdtasdt0(xG,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_320]),c_0_80]),c_0_81])]),c_0_347]) ).
cnf(c_0_374,hypothesis,
sdtlseqdt0(smndt0(xG),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_81])]) ).
cnf(c_0_375,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(smndt0(xG),xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_349]),c_0_81])]) ).
cnf(c_0_376,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_80]),c_0_81])]) ).
cnf(c_0_377,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(smndt0(xG),X1) = sdtasdt0(xG,smndt0(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_80]),c_0_81])]) ).
cnf(c_0_378,hypothesis,
smndt0(sdtasdt0(xF,xF)) = sdtasdt0(smndt0(xF),xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_350]),c_0_253]),c_0_251])]) ).
cnf(c_0_379,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(xF,X1)
| sdtlseqdt0(X1,xF) ),
inference(spm,[status(thm)],[c_0_137,c_0_214]) ).
cnf(c_0_380,hypothesis,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_351]),c_0_214]),c_0_110]),c_0_97])]) ).
fof(c_0_381,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_382,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xH)),sdtpldt0(sdtasdt0(xE,X2),xP)) = sdtasdt0(sdtpldt0(X1,xE),sdtpldt0(X2,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_125]),c_0_127]),c_0_126])]) ).
cnf(c_0_383,hypothesis,
sdtpldt0(sz0z00,sdtasdt0(xH,xH)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_213]),c_0_112]),c_0_213]),c_0_88]),c_0_214])]) ).
cnf(c_0_384,hypothesis,
sdtpldt0(sz0z00,xP) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_354]),c_0_181])]) ).
cnf(c_0_385,hypothesis,
sdtpldt0(sz0z00,xH) = xH,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_355]),c_0_127])]) ).
cnf(c_0_386,hypothesis,
( xP = sz0z00
| sdtasdt0(xH,xG) = sz0z00 ),
inference(spm,[status(thm)],[c_0_304,c_0_356]) ).
cnf(c_0_387,hypothesis,
( xP = sz0z00
| sdtasdt0(xH,xG) = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_220]),c_0_220])]) ).
cnf(c_0_388,hypothesis,
( ~ sdtlseqdt0(xH,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| smndt0(xP) = sz0z00 ),
inference(spm,[status(thm)],[c_0_359,c_0_292]) ).
cnf(c_0_389,hypothesis,
sdtlseqdt0(smndt0(xS),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_309])]) ).
cnf(c_0_390,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X2,xD)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,smndt0(xF))
| sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_362]),c_0_243])]),c_0_251])]) ).
cnf(c_0_391,hypothesis,
sdtasdt0(smndt0(xF),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_363]),c_0_164]),c_0_97]),c_0_214])]) ).
cnf(c_0_392,hypothesis,
sdtpldt0(xS,sz0z00) = sdtpldt0(sz0z00,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_364]),c_0_308]),c_0_336]),c_0_309])]) ).
cnf(c_0_393,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sz0z00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_132]),c_0_97])]) ).
cnf(c_0_394,hypothesis,
sdtpldt0(smndt0(xG),sdtpldt0(xD,xG)) = sdtpldt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_365]),c_0_243]),c_0_88])]) ).
cnf(c_0_395,hypothesis,
( sdtasdt0(sdtasdt0(xH,sdtasdt0(xG,xG)),sdtasdt0(xH,sdtasdt0(xG,xG))) != sdtasdt0(xF,xF)
| sdtasdt0(xH,sdtasdt0(xG,xG)) = xF ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_339]),c_0_340])]) ).
cnf(c_0_396,hypothesis,
( sdtasdt0(xH,sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xH,sdtasdt0(xG,xG)))) != sdtasdt0(xG,xG)
| sdtasdt0(xH,sdtasdt0(xG,xG)) = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_211]),c_0_340]),c_0_368]),c_0_127])]) ).
cnf(c_0_397,hypothesis,
( sdtasdt0(xH,xH) != sz0z00
| xH = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_369]),c_0_127])]) ).
cnf(c_0_398,hypothesis,
sdtasdt0(xH,xH) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_370]),c_0_164]) ).
cnf(c_0_399,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(sz0z00,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_96]),c_0_97])]) ).
cnf(c_0_400,hypothesis,
sdtasdt0(xC,sdtasdt0(xG,xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_164]),c_0_80]),c_0_90]),c_0_81]),c_0_88])]) ).
cnf(c_0_401,hypothesis,
sdtlseqdt0(sdtasdt0(xG,smndt0(xG)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_373]),c_0_113]),c_0_226]),c_0_374]),c_0_88]),c_0_81])]) ).
cnf(c_0_402,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xG,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_68]),c_0_88]),c_0_81])]) ).
cnf(c_0_403,hypothesis,
aScalar0(sdtasdt0(xG,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_81]),c_0_88])]) ).
cnf(c_0_404,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X2,xF)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_363]),c_0_214]),c_0_97])]) ).
cnf(c_0_405,hypothesis,
sdtasdt0(smndt0(xF),xF) = sdtasdt0(xF,smndt0(xF)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_350]),c_0_253]),c_0_251])]),c_0_378]) ).
cnf(c_0_406,hypothesis,
sdtlseqdt0(xF,xF),
inference(spm,[status(thm)],[c_0_379,c_0_214]) ).
cnf(c_0_407,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,xF)) ),
inference(spm,[status(thm)],[c_0_380,c_0_144]) ).
cnf(c_0_408,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(smndt0(xF),X1) = sdtasdt0(xF,smndt0(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_253]),c_0_251])]) ).
cnf(c_0_409,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_253]),c_0_251])]) ).
fof(c_0_410,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
cnf(c_0_411,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),xP) = sdtasdt0(sdtpldt0(xH,xE),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_220]),c_0_383]),c_0_201]),c_0_384]),c_0_385]),c_0_97]),c_0_127])]) ).
cnf(c_0_412,hypothesis,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_413,hypothesis,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_414,hypothesis,
xE = sdtasasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_415,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_416,hypothesis,
( xP = sz0z00
| sdtasdt0(xP,xG) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_386]),c_0_201]),c_0_88])]) ).
cnf(c_0_417,hypothesis,
( xP = sz0z00
| sdtasdt0(xP,xG) = sdtasdt0(xE,xG) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_387]),c_0_88])]) ).
cnf(c_0_418,hypothesis,
( ~ sdtlseqdt0(xH,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_388]),c_0_164]),c_0_181])]) ).
cnf(c_0_419,hypothesis,
( ~ sdtlseqdt0(sz0z00,smndt0(xS))
| smndt0(xS) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_389]),c_0_309]),c_0_97])]) ).
cnf(c_0_420,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_297]),c_0_110]),c_0_310]),c_0_97]),c_0_251])]) ).
cnf(c_0_421,hypothesis,
sdtpldt0(sz0z00,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_392]),c_0_336])]) ).
cnf(c_0_422,hypothesis,
sdtpldt0(sz0z00,sdtpldt0(sz0z00,xD)) = sdtpldt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_63]),c_0_81])]) ).
cnf(c_0_423,hypothesis,
( sdtasdt0(xH,sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xH,sdtasdt0(xG,xG)))) != sdtasdt0(xF,xF)
| sdtasdt0(xH,sdtasdt0(xG,xG)) = xF ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_211]),c_0_340]),c_0_368]),c_0_127])]) ).
cnf(c_0_424,hypothesis,
( sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)))) != sdtasdt0(xG,xG)
| sdtasdt0(xH,sdtasdt0(xG,xG)) = xG ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_211]),c_0_368]),c_0_127])]) ).
cnf(c_0_425,hypothesis,
xH = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_398])]) ).
cnf(c_0_426,hypothesis,
sdtasdt0(sz0z00,sdtasdt0(xG,xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_400]),c_0_268]),c_0_368]),c_0_90])]) ).
cnf(c_0_427,hypothesis,
sdtasdt0(xG,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_401]),c_0_402]),c_0_403]),c_0_97])]) ).
cnf(c_0_428,hypothesis,
sdtlseqdt0(sdtasdt0(xF,smndt0(xF)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_272]),c_0_406]),c_0_317]),c_0_214]),c_0_251])]) ).
cnf(c_0_429,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xF,smndt0(xF))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_251]),c_0_214])]) ).
cnf(c_0_430,hypothesis,
aScalar0(sdtasdt0(xF,smndt0(xF))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_408]),c_0_251]),c_0_214])]) ).
fof(c_0_431,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(fof_nnf,[status(thm)],[c_0_410]) ).
cnf(c_0_432,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(xP,sdtasdt0(X1,xH)) = sdtasdt0(sdtpldt0(xE,X1),xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_125]),c_0_127]),c_0_126])]) ).
cnf(c_0_433,hypothesis,
sdtpldt0(xP,sdtasdt0(xH,xH)) = sdtasdt0(sdtpldt0(xH,xE),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_411]),c_0_181]),c_0_298])]) ).
cnf(c_0_434,hypothesis,
sdtasasdt0(xs,xt) = sdtpldt0(xE,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_412]),c_0_413]),c_0_414]),c_0_92]),c_0_415])]) ).
cnf(c_0_435,hypothesis,
( xP = sz0z00
| sdtasdt0(xE,xG) = sz0z00 ),
inference(spm,[status(thm)],[c_0_416,c_0_417]) ).
cnf(c_0_436,hypothesis,
( ~ sdtlseqdt0(sz0z00,xP)
| xP = sz0z00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_342]),c_0_304]) ).
cnf(c_0_437,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(xF,X1),xS) = sdtasdt0(xF,sdtpldt0(X1,xD)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_242]),c_0_243]),c_0_214])]) ).
cnf(c_0_438,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(xS,sdtasdt0(xF,X1)) = sdtasdt0(xF,sdtpldt0(xD,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_242]),c_0_243]),c_0_214])]) ).
cnf(c_0_439,hypothesis,
smndt0(xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_419,c_0_420])]) ).
cnf(c_0_440,hypothesis,
sdtpldt0(xS,sz0z00) = xS,
inference(rw,[status(thm)],[c_0_392,c_0_421]) ).
cnf(c_0_441,hypothesis,
sdtpldt0(sz0z00,xD) = xD,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_132]),c_0_243])]) ).
cnf(c_0_442,hypothesis,
( ~ aVector0(X1)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xp),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xA)) = sdtasasdt0(X1,xs) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_412]),c_0_413]),c_0_415])]),c_0_53]) ).
cnf(c_0_443,hypothesis,
( sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)))) != sdtasdt0(xF,xF)
| sdtasdt0(xH,sdtasdt0(xG,xG)) = xF ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_211]),c_0_368]),c_0_127])]) ).
cnf(c_0_444,hypothesis,
( sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)))) != sdtasdt0(xG,xG)
| xG = sz0z00 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_425]),c_0_426]),c_0_425]),c_0_425]) ).
cnf(c_0_445,hypothesis,
sdtasdt0(xG,xG) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_427]),c_0_164]),c_0_80]),c_0_81]),c_0_88])]) ).
cnf(c_0_446,hypothesis,
sdtasdt0(xF,smndt0(xF)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_428]),c_0_429]),c_0_430]),c_0_97])]) ).
cnf(c_0_447,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(split_conjunct,[status(thm)],[c_0_431]) ).
cnf(c_0_448,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(split_conjunct,[status(thm)],[m__2835]) ).
cnf(c_0_449,hypothesis,
sdtasdt0(sdtpldt0(xE,xH),xH) = sdtasdt0(sdtpldt0(xH,xE),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_127])]) ).
cnf(c_0_450,hypothesis,
aScalar0(sdtpldt0(xE,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_434]),c_0_47]),c_0_52]),c_0_415])]) ).
cnf(c_0_451,hypothesis,
( ~ sdtlseqdt0(xG,xH)
| xP = sz0z00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_435]),c_0_113]),c_0_202]),c_0_88]),c_0_126])]),c_0_436]) ).
cnf(c_0_452,hypothesis,
( sdtlseqdt0(xG,xH)
| sdtlseqdt0(xH,xG) ),
inference(spm,[status(thm)],[c_0_199,c_0_88]) ).
cnf(c_0_453,hypothesis,
( sdtasdt0(xG,xG) != sz0z00
| xG = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_113]),c_0_88])]) ).
cnf(c_0_454,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),xS) = sdtasdt0(xF,sdtpldt0(xG,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_213]),c_0_88])]) ).
cnf(c_0_455,hypothesis,
sdtpldt0(xS,sdtasdt0(xH,xH)) = sdtasdt0(xF,sdtpldt0(xD,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_213]),c_0_88])]) ).
cnf(c_0_456,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(xP,sdtasdt0(xE,X1)) = sdtasdt0(xE,sdtpldt0(xH,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_125]),c_0_127]),c_0_126])]) ).
cnf(c_0_457,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(xP,sdtasdt0(X1,xE)) = sdtasdt0(sdtpldt0(xH,X1),xE) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_141]),c_0_126]),c_0_127])]) ).
cnf(c_0_458,hypothesis,
sdtpldt0(xE,xH) = sdtpldt0(xH,xE),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_413]),c_0_412]),c_0_92]),c_0_414]),c_0_434]),c_0_415]),c_0_412]),c_0_92]),c_0_127]),c_0_414]),c_0_126])]) ).
cnf(c_0_459,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(xS,sdtasdt0(X1,xD)) = sdtasdt0(sdtpldt0(xF,X1),xD) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_242]),c_0_243]),c_0_214])]) ).
cnf(c_0_460,hypothesis,
xS = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_439]),c_0_440]) ).
cnf(c_0_461,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(xR,sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(xG,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_89]),c_0_88]),c_0_90])]) ).
cnf(c_0_462,hypothesis,
sdtpldt0(smndt0(xG),sdtpldt0(xD,xG)) = xD,
inference(rw,[status(thm)],[c_0_394,c_0_441]) ).
cnf(c_0_463,hypothesis,
sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_412]),c_0_413]),c_0_118]),c_0_177]),c_0_415])]) ).
cnf(c_0_464,hypothesis,
( sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)))) != sdtasdt0(xF,xF)
| xF = sz0z00 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_425]),c_0_426]),c_0_425]),c_0_425]) ).
cnf(c_0_465,hypothesis,
xG = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_445]),c_0_445]),c_0_268]),c_0_268]),c_0_268]),c_0_445])]) ).
cnf(c_0_466,hypothesis,
sdtasdt0(xF,xF) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_446]),c_0_164]),c_0_253]),c_0_251]),c_0_214])]) ).
cnf(c_0_467,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_125]),c_0_89]),c_0_242]) ).
cnf(c_0_468,hypothesis,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(rw,[status(thm)],[c_0_448,c_0_125]) ).
cnf(c_0_469,hypothesis,
sdtasdt0(sdtpldt0(xH,xE),xH) = sdtasdt0(xH,sdtpldt0(xE,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_449]),c_0_127]),c_0_450])]) ).
cnf(c_0_470,hypothesis,
aScalar0(sdtpldt0(xH,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_311]),c_0_126]),c_0_127])]) ).
cnf(c_0_471,hypothesis,
sdtasdt0(smndt0(xE),smndt0(xH)) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_283]),c_0_126])]),c_0_170]),c_0_163])]) ).
cnf(c_0_472,hypothesis,
sdtasdt0(smndt0(xE),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_201]),c_0_164]),c_0_97]),c_0_126])]) ).
cnf(c_0_473,hypothesis,
( sdtlseqdt0(xH,xG)
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_474,hypothesis,
( xG = sz0z00
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_453,c_0_358]) ).
cnf(c_0_475,hypothesis,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_253]),c_0_251])]) ).
cnf(c_0_476,hypothesis,
sdtasdt0(xF,sdtpldt0(xG,xD)) = sdtasdt0(xF,sdtpldt0(xD,xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_454]),c_0_336]),c_0_298])]),c_0_455]) ).
cnf(c_0_477,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sdtasdt0(X1,X2),sz0z00) = sdtasdt0(X1,sdtpldt0(X2,sz0z00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_109]),c_0_97])]) ).
cnf(c_0_478,hypothesis,
sdtasdt0(sdtpldt0(xH,xE),xE) = sdtasdt0(xE,sdtpldt0(xH,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_126])]) ).
cnf(c_0_479,hypothesis,
sdtpldt0(xE,sz0z00) = sdtpldt0(sz0z00,xE),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_425]),c_0_425]) ).
cnf(c_0_480,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(sz0z00,sdtasdt0(X1,xD)) = sdtasdt0(sdtpldt0(xF,X1),xD) ),
inference(rw,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_481,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(sz0z00,sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(xG,X1)) ),
inference(rw,[status(thm)],[c_0_461,c_0_206]) ).
cnf(c_0_482,hypothesis,
sdtpldt0(sdtpldt0(xD,xG),smndt0(xG)) = xD,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_462]),c_0_63]),c_0_81])]) ).
cnf(c_0_483,hypothesis,
aScalar0(sdtpldt0(xC,xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_463]),c_0_415])]) ).
cnf(c_0_484,hypothesis,
xF = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_464,c_0_465]),c_0_465]),c_0_268]),c_0_465]),c_0_465]),c_0_268]),c_0_268]),c_0_268]),c_0_268]),c_0_466])]) ).
cnf(c_0_485,negated_conjecture,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_77]),c_0_468]),c_0_181])]),c_0_141]) ).
cnf(c_0_486,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_325]),c_0_127]),c_0_126])]) ).
cnf(c_0_487,hypothesis,
aScalar0(sdtasdt0(sdtpldt0(xH,xE),xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_411]),c_0_181]),c_0_298])]) ).
cnf(c_0_488,hypothesis,
sdtasdt0(xH,sdtpldt0(xE,xH)) = sdtasdt0(xH,sdtpldt0(xH,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_469]),c_0_127]),c_0_470])]) ).
cnf(c_0_489,hypothesis,
( ~ sdtlseqdt0(xH,sz0z00)
| sdtasdt0(xH,xH) != sz0z00
| xP = sz0z00 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_314]),c_0_472]) ).
cnf(c_0_490,hypothesis,
( sdtlseqdt0(xH,sz0z00)
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_491,hypothesis,
( xP = sz0z00
| sdtasdt0(xH,xH) = sz0z00 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_474]),c_0_475]) ).
cnf(c_0_492,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),xS) = sdtasdt0(xF,sdtpldt0(xD,xG)),
inference(rw,[status(thm)],[c_0_454,c_0_476]) ).
cnf(c_0_493,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),sz0z00) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_213]),c_0_102]),c_0_112]),c_0_213]),c_0_88]),c_0_214])]) ).
cnf(c_0_494,hypothesis,
aScalar0(sdtasdt0(xE,sdtpldt0(xH,xE))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_478]),c_0_126]),c_0_470])]) ).
cnf(c_0_495,hypothesis,
sdtpldt0(sz0z00,xE) = xE,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_479]),c_0_126])]) ).
cnf(c_0_496,hypothesis,
sdtasdt0(sdtpldt0(xF,xC),xD) = sdtasdt0(xC,sdtpldt0(xD,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_365]),c_0_90]),c_0_243])]) ).
cnf(c_0_497,hypothesis,
sdtpldt0(xD,sz0z00) = xD,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_482]),c_0_209]),c_0_81]),c_0_88]),c_0_243])]) ).
cnf(c_0_498,hypothesis,
aScalar0(sdtpldt0(xC,sz0z00)),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_499,negated_conjecture,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xH,xE)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_486]),c_0_213]),c_0_455]),c_0_433]),c_0_487])]),c_0_488]) ).
cnf(c_0_500,hypothesis,
xP = sz0z00,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_491]) ).
cnf(c_0_501,hypothesis,
sdtasdt0(sz0z00,xE) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_201]),c_0_97]),c_0_126])]) ).
cnf(c_0_502,hypothesis,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_164]),c_0_97])]) ).
cnf(c_0_503,hypothesis,
sdtasdt0(xF,sdtpldt0(xD,xG)) = sdtasdt0(xH,xH),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_460]),c_0_493]) ).
cnf(c_0_504,hypothesis,
aScalar0(sdtasdt0(xE,xE)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_425]),c_0_495]) ).
cnf(c_0_505,hypothesis,
sdtasdt0(sdtpldt0(sz0z00,xC),xD) = sdtasdt0(xC,xD),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_484]),c_0_465]),c_0_497]) ).
cnf(c_0_506,hypothesis,
aScalar0(sdtpldt0(sz0z00,xC)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_311]),c_0_97]),c_0_90])]) ).
cnf(c_0_507,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sz0z00),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sz0z00),sz0z00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_499,c_0_500]),c_0_425]),c_0_425]),c_0_495]),c_0_501]),c_0_502]),c_0_206]),c_0_503]),c_0_425]),c_0_425]),c_0_268]),c_0_504])]) ).
cnf(c_0_508,hypothesis,
sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(xC,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_505]),c_0_497]),c_0_505]),c_0_243]),c_0_506])]) ).
cnf(c_0_509,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sz0z00),sdtasdt0(xC,xD)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_508]) ).
cnf(c_0_510,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(split_conjunct,[status(thm)],[m__1967]) ).
cnf(c_0_511,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_101]),c_0_510]),c_0_504])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG078+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 04:18:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 238.88/31.32 % Version: 3.5.1
% 238.88/31.32 % Preprocessing class: FSLSSMSMSSSNFFN.
% 238.88/31.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 238.88/31.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 238.88/31.32 % Starting new_bool_3 with 300s (1) cores
% 238.88/31.32 % Starting new_bool_1 with 300s (1) cores
% 238.88/31.32 % Starting sh5l with 300s (1) cores
% 238.88/31.32 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3120343 completed with status 0
% 238.88/31.32 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 238.88/31.32 % Preprocessing class: FSLSSMSMSSSNFFN.
% 238.88/31.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 238.88/31.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 238.88/31.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 238.88/31.32 % No SInE strategy applied
% 238.88/31.32 % Search class: FGHSF-FFMM21-MFFFFFNN
% 238.88/31.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 238.88/31.32 % Starting SubtermCWHack with 136s (1) cores
% 238.88/31.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 238.88/31.32 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 238.88/31.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 238.88/31.32 % Starting new_bool_3 with 136s (1) cores
% 238.88/31.32 % G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 3120369 completed with status 0
% 238.88/31.32 % Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 238.88/31.32 % Preprocessing class: FSLSSMSMSSSNFFN.
% 238.88/31.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 238.88/31.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 238.88/31.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 238.88/31.32 % No SInE strategy applied
% 238.88/31.32 % Search class: FGHSF-FFMM21-MFFFFFNN
% 238.88/31.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 238.88/31.32 % Starting SubtermCWHack with 136s (1) cores
% 238.88/31.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 238.88/31.32 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 238.88/31.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 238.88/31.32 % Preprocessing time : 0.003 s
% 238.88/31.32 % Presaturation interreduction done
% 238.88/31.32
% 238.88/31.32 % Proof found!
% 238.88/31.32 % SZS status Theorem
% 238.88/31.32 % SZS output start CNFRefutation
% See solution above
% 238.88/31.32 % Parsed axioms : 60
% 238.88/31.32 % Removed by relevancy pruning/SinE : 0
% 238.88/31.32 % Initial clauses : 98
% 238.88/31.32 % Removed in clause preprocessing : 5
% 238.88/31.32 % Initial clauses in saturation : 93
% 238.88/31.32 % Processed clauses : 28256
% 238.88/31.32 % ...of these trivial : 2065
% 238.88/31.32 % ...subsumed : 17504
% 238.88/31.32 % ...remaining for further processing : 8687
% 238.88/31.32 % Other redundant clauses eliminated : 6
% 238.88/31.32 % Clauses deleted for lack of memory : 0
% 238.88/31.32 % Backward-subsumed : 272
% 238.88/31.32 % Backward-rewritten : 5974
% 238.88/31.32 % Generated clauses : 737258
% 238.88/31.32 % ...of the previous two non-redundant : 660904
% 238.88/31.32 % ...aggressively subsumed : 0
% 238.88/31.32 % Contextual simplify-reflections : 250
% 238.88/31.32 % Paramodulations : 737231
% 238.88/31.32 % Factorizations : 0
% 238.88/31.32 % NegExts : 0
% 238.88/31.32 % Equation resolutions : 27
% 238.88/31.32 % Disequality decompositions : 0
% 238.88/31.32 % Total rewrite steps : 1702275
% 238.88/31.32 % ...of those cached : 1700701
% 238.88/31.32 % Propositional unsat checks : 1
% 238.88/31.32 % Propositional check models : 0
% 238.88/31.32 % Propositional check unsatisfiable : 0
% 238.88/31.32 % Propositional clauses : 0
% 238.88/31.32 % Propositional clauses after purity: 0
% 238.88/31.32 % Propositional unsat core size : 0
% 238.88/31.32 % Propositional preprocessing time : 0.000
% 238.88/31.32 % Propositional encoding time : 1.127
% 238.88/31.32 % Propositional solver time : 1.253
% 238.88/31.32 % Success case prop preproc time : 0.000
% 238.88/31.32 % Success case prop encoding time : 0.000
% 238.88/31.32 % Success case prop solver time : 0.000
% 238.88/31.32 % Current number of processed clauses : 2345
% 238.88/31.32 % Positive orientable unit clauses : 788
% 238.88/31.32 % Positive unorientable unit clauses: 0
% 238.88/31.32 % Negative unit clauses : 8
% 238.88/31.32 % Non-unit-clauses : 1549
% 238.88/31.32 % Current number of unprocessed clauses: 627359
% 238.88/31.32 % ...number of literals in the above : 2394587
% 238.88/31.32 % Current number of archived formulas : 0
% 238.88/31.32 % Current number of archived clauses : 6339
% 238.88/31.32 % Clause-clause subsumption calls (NU) : 2639076
% 238.88/31.32 % Rec. Clause-clause subsumption calls : 1260298
% 238.88/31.32 % Non-unit clause-clause subsumptions : 17972
% 238.88/31.32 % Unit Clause-clause subsumption calls : 252102
% 238.88/31.32 % Rewrite failures with RHS unbound : 0
% 238.88/31.32 % BW rewrite match attempts : 1029
% 238.88/31.32 % BW rewrite match successes : 156
% 238.88/31.32 % Condensation attempts : 0
% 238.88/31.32 % Condensation successes : 0
% 238.88/31.32 % Termbank termtop insertions : 23169875
% 238.88/31.32 % Search garbage collected termcells : 888
% 238.88/31.32
% 238.88/31.32 % -------------------------------------------------
% 238.88/31.32 % User time : 28.873 s
% 238.88/31.32 % System time : 1.123 s
% 238.88/31.32 % Total time : 29.996 s
% 238.88/31.32 % Maximum resident set size: 3960 pages
% 238.88/31.32
% 238.88/31.32 % -------------------------------------------------
% 238.88/31.32 % User time : 143.102 s
% 238.88/31.32 % System time : 5.918 s
% 238.88/31.32 % Total time : 149.020 s
% 238.88/31.32 % Maximum resident set size: 4608 pages
% 238.88/31.32 % E exiting
%------------------------------------------------------------------------------