TSTP Solution File: RNG076+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:48:58 EDT 2023
% Result : Theorem 4.74s 4.86s
% Output : CNFRefutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 74
% Syntax : Number of formulae : 386 ( 146 unt; 33 typ; 0 def)
% Number of atoms : 862 ( 254 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 890 ( 381 ~; 395 |; 84 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 15 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 242 ( 3 sgn; 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aNaturalNumber0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
szszuzczcdt0: $i > $i ).
tff(decl_25,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_26,type,
aScalar0: $i > $o ).
tff(decl_27,type,
sz0z00: $i ).
tff(decl_28,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_29,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_30,type,
smndt0: $i > $i ).
tff(decl_31,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_32,type,
aVector0: $i > $o ).
tff(decl_33,type,
aDimensionOf0: $i > $i ).
tff(decl_34,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_35,type,
sziznziztdt0: $i > $i ).
tff(decl_36,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(decl_37,type,
xs: $i ).
tff(decl_38,type,
xt: $i ).
tff(decl_39,type,
xp: $i ).
tff(decl_40,type,
xq: $i ).
tff(decl_41,type,
xA: $i ).
tff(decl_42,type,
xB: $i ).
tff(decl_43,type,
xC: $i ).
tff(decl_44,type,
xD: $i ).
tff(decl_45,type,
xE: $i ).
tff(decl_46,type,
xF: $i ).
tff(decl_47,type,
xG: $i ).
tff(decl_48,type,
xH: $i ).
tff(decl_49,type,
xR: $i ).
tff(decl_50,type,
xP: $i ).
tff(decl_51,type,
xS: $i ).
tff(decl_52,type,
xN: $i ).
tff(decl_53,type,
esk1_1: $i > $i ).
tff(decl_54,type,
esk2_2: ( $i * $i ) > $i ).
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(m__1911,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(m__1709,hypothesis,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(mDistr,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(m__1983,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).
fof(mDistr2,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> 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/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(mSqrt,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(mDefSPN,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(m__1678_01,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(m__1678,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(m__1692,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(m__,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1967,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(c_0_41,plain,
! [X27,X28] :
( ( sdtasdt0(X27,smndt0(X28)) = smndt0(sdtasdt0(X27,X28))
| ~ aScalar0(X27)
| ~ aScalar0(X28) )
& ( sdtasdt0(smndt0(X27),X28) = smndt0(sdtasdt0(X27,X28))
| ~ aScalar0(X27)
| ~ aScalar0(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
fof(c_0_42,plain,
! [X16] :
( ( sdtpldt0(X16,sz0z00) = X16
| ~ aScalar0(X16) )
& ( sdtpldt0(sz0z00,X16) = X16
| ~ aScalar0(X16) )
& ( sdtasdt0(X16,sz0z00) = sz0z00
| ~ aScalar0(X16) )
& ( sdtasdt0(sz0z00,X16) = sz0z00
| ~ aScalar0(X16) )
& ( sdtpldt0(X16,smndt0(X16)) = sz0z00
| ~ aScalar0(X16) )
& ( sdtpldt0(smndt0(X16),X16) = sz0z00
| ~ aScalar0(X16) )
& ( smndt0(smndt0(X16)) = X16
| ~ aScalar0(X16) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
fof(c_0_43,plain,
! [X13,X14] :
( ~ aScalar0(X13)
| ~ aScalar0(X14)
| aScalar0(sdtasdt0(X13,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_44,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_46,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_47,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_48,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,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_44,c_0_45]),c_0_46]),c_0_47])]) ).
fof(c_0_52,plain,
! [X15] :
( ~ aScalar0(X15)
| aScalar0(smndt0(X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
fof(c_0_53,plain,
! [X68] :
( ~ aVector0(X68)
| sdtlseqdt0(sz0z00,sdtasasdt0(X68,X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
fof(c_0_54,hypothesis,
! [X72] :
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ( ~ aNaturalNumber0(X72)
| sdtlbdtrb0(xq,X72) = sdtlbdtrb0(xt,X72) )
& xq = sziznziztdt0(xt) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])]) ).
fof(c_0_55,plain,
! [X49] :
( ~ aScalar0(X49)
| sdtlseqdt0(sz0z00,sdtasdt0(X49,X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
cnf(c_0_56,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_57,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_58,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_59,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_60,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_61,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
fof(c_0_62,plain,
! [X37,X38,X39,X40] :
( ~ aScalar0(X37)
| ~ aScalar0(X38)
| ~ aScalar0(X39)
| ~ aScalar0(X40)
| ~ sdtlseqdt0(X37,X38)
| ~ sdtlseqdt0(X39,X40)
| sdtlseqdt0(sdtpldt0(X37,X39),sdtpldt0(X38,X40)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).
cnf(c_0_63,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_64,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_49,c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_65,hypothesis,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_46])]) ).
cnf(c_0_66,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_67,plain,
! [X47,X48] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X47,X48))
| ~ sdtlseqdt0(sz0z00,X47)
| ~ sdtlseqdt0(sz0z00,X48)
| ~ aScalar0(X47)
| ~ aScalar0(X48) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X47,X48))
| ~ sdtlseqdt0(sz0z00,X47)
| ~ sdtlseqdt0(sz0z00,X48)
| ~ aScalar0(X47)
| ~ aScalar0(X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).
cnf(c_0_68,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_69,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_70,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_71,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_72,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_73,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_74,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_75,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_76,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_49,c_0_56]),c_0_57]),c_0_58])]) ).
fof(c_0_77,plain,
! [X41,X42,X43,X44] :
( ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ aScalar0(X43)
| ~ aScalar0(X44)
| ~ sdtlseqdt0(X41,X42)
| ~ sdtlseqdt0(sz0z00,X43)
| ~ sdtlseqdt0(X43,X44)
| sdtlseqdt0(sdtasdt0(X41,X43),sdtasdt0(X42,X44)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).
cnf(c_0_78,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_79,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(c_0_80,plain,
! [X34,X35,X36] :
( ~ aScalar0(X34)
| ~ aScalar0(X35)
| ~ aScalar0(X36)
| ~ sdtlseqdt0(X34,X35)
| ~ sdtlseqdt0(X35,X36)
| sdtlseqdt0(X34,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).
cnf(c_0_81,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_82,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_49,c_0_59]),c_0_60]),c_0_61])]) ).
fof(c_0_83,hypothesis,
! [X71] :
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X71)
| sdtlbdtrb0(xp,X71) = sdtlbdtrb0(xs,X71) )
& xp = sziznziztdt0(xs) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])]) ).
cnf(c_0_84,plain,
( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_85,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_86,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_87,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_63,c_0_64]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_88,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_47])]) ).
cnf(c_0_89,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_90,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_91,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_58])]) ).
cnf(c_0_92,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_49]),c_0_50]) ).
cnf(c_0_93,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_72]),c_0_58])]) ).
fof(c_0_94,plain,
! [X17,X18,X19] :
( ( sdtpldt0(sdtpldt0(X17,X18),X19) = sdtpldt0(X17,sdtpldt0(X18,X19))
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtpldt0(X17,X18) = sdtpldt0(X18,X17)
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtasdt0(sdtasdt0(X17,X18),X19) = sdtasdt0(X17,sdtasdt0(X18,X19))
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtasdt0(X17,X18) = sdtasdt0(X18,X17)
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).
cnf(c_0_95,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_49,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_96,hypothesis,
( aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_76]),c_0_58])]) ).
cnf(c_0_97,plain,
( sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_98,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_99,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_78]),c_0_79])]) ).
cnf(c_0_100,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_101,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_81]),c_0_57])]) ).
cnf(c_0_102,hypothesis,
( aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_82]),c_0_61])]) ).
cnf(c_0_103,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_104,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_105,plain,
! [X20,X21,X22] :
( ( sdtasdt0(X20,sdtpldt0(X21,X22)) = sdtpldt0(sdtasdt0(X20,X21),sdtasdt0(X20,X22))
| ~ aScalar0(X20)
| ~ aScalar0(X21)
| ~ aScalar0(X22) )
& ( sdtasdt0(sdtpldt0(X20,X21),X22) = sdtpldt0(sdtasdt0(X20,X22),sdtasdt0(X21,X22))
| ~ aScalar0(X20)
| ~ aScalar0(X21)
| ~ aScalar0(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])]) ).
cnf(c_0_106,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_79])]) ).
cnf(c_0_107,hypothesis,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_108,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_89,c_0_45]),c_0_90]),c_0_91]),c_0_46]),c_0_47])]) ).
cnf(c_0_109,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
fof(c_0_110,plain,
! [X31] :
( ~ aScalar0(X31)
| sdtlseqdt0(X31,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
cnf(c_0_111,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_58])]) ).
cnf(c_0_112,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_113,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_114,hypothesis,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_95]),c_0_75])]) ).
cnf(c_0_115,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_66]),c_0_57])]) ).
cnf(c_0_116,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_117,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_118,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X3,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_79])]) ).
cnf(c_0_119,hypothesis,
( sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_60]),c_0_79])]) ).
cnf(c_0_120,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_63,c_0_82]),c_0_59]),c_0_60]),c_0_61])]) ).
cnf(c_0_121,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_66]),c_0_60])]) ).
cnf(c_0_122,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_103]),c_0_104])]) ).
fof(c_0_123,plain,
! [X11,X12] :
( ~ aScalar0(X11)
| ~ aScalar0(X12)
| aScalar0(sdtpldt0(X11,X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).
cnf(c_0_124,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_125,plain,
! [X32,X33] :
( ~ aScalar0(X32)
| ~ aScalar0(X33)
| ~ sdtlseqdt0(X32,X33)
| ~ sdtlseqdt0(X33,X32)
| X32 = X33 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])]) ).
cnf(c_0_126,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ aScalar0(X1) ),
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_107]),c_0_108]),c_0_88]),c_0_109])]) ).
cnf(c_0_127,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_128,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xS))
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xD)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_51]),c_0_46])]),c_0_111])]) ).
cnf(c_0_129,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_86]),c_0_66]) ).
cnf(c_0_130,hypothesis,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_87]),c_0_88])]) ).
cnf(c_0_131,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_63,c_0_95]),c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_132,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]) ).
cnf(c_0_133,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
fof(c_0_134,plain,
! [X45,X46] :
( ~ aScalar0(X45)
| ~ aScalar0(X46)
| sdtlseqdt0(X45,X46)
| sdtlseqdt0(X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).
cnf(c_0_135,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xG))
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_60]),c_0_99]),c_0_79])]) ).
cnf(c_0_136,hypothesis,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_120]),c_0_121])]) ).
cnf(c_0_137,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_89,c_0_59]),c_0_101]),c_0_122]),c_0_60]),c_0_61])]) ).
cnf(c_0_138,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_139,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_140,hypothesis,
( sdtpldt0(sdtasdt0(xE,X1),xP) = sdtasdt0(xE,sdtpldt0(X1,xH))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_141,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_142,hypothesis,
sdtlseqdt0(smndt0(xS),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_88])]) ).
cnf(c_0_143,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
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_98]),c_0_99]),c_0_90]),c_0_79])]) ).
cnf(c_0_144,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_145,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_129,c_0_130]),c_0_87]),c_0_109]),c_0_88])]) ).
cnf(c_0_146,hypothesis,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_120]),c_0_121])]) ).
cnf(c_0_147,hypothesis,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_131]),c_0_132])]) ).
cnf(c_0_148,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_149,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_150,plain,
( sdtasdt0(smndt0(X1),sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_98]),c_0_133]),c_0_79])]) ).
cnf(c_0_151,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_152,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xG))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_127]) ).
cnf(c_0_153,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_44,c_0_59]),c_0_60]),c_0_61])]) ).
cnf(c_0_154,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ aScalar0(X1) ),
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_136]),c_0_137]),c_0_121]),c_0_138])]) ).
cnf(c_0_155,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[m__1983]) ).
cnf(c_0_156,plain,
( aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_124]),c_0_50]),c_0_50]) ).
cnf(c_0_157,hypothesis,
sdtasdt0(xE,sdtpldt0(xH,xH)) = sdtpldt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_73]),c_0_74])]) ).
cnf(c_0_158,hypothesis,
( smndt0(xS) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_88]),c_0_79])]) ).
cnf(c_0_159,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_127]),c_0_111])]) ).
cnf(c_0_160,hypothesis,
sdtpldt0(sz0z00,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_109])]) ).
cnf(c_0_161,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_129,c_0_146]),c_0_120]),c_0_138]),c_0_121])]) ).
cnf(c_0_162,hypothesis,
( sdtpldt0(sdtasdt0(xA,X1),xH) = sdtasdt0(xA,sdtpldt0(X1,xB))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_163,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_147]),c_0_132]),c_0_148])]) ).
cnf(c_0_164,hypothesis,
( sdtasdt0(xE,sdtasdt0(xH,X1)) = sdtasdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_165,hypothesis,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_131]),c_0_132])]) ).
cnf(c_0_166,hypothesis,
( sdtlseqdt0(X1,xE)
| sdtlseqdt0(xE,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_75]) ).
cnf(c_0_167,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_63,c_0_76]),c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_168,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_169,hypothesis,
sdtlseqdt0(smndt0(xR),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_127]),c_0_121])]) ).
cnf(c_0_170,hypothesis,
( sdtlseqdt0(X1,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X1,sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_155]) ).
cnf(c_0_171,hypothesis,
aScalar0(sdtpldt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_74]),c_0_75])]) ).
cnf(c_0_172,hypothesis,
smndt0(xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]) ).
cnf(c_0_173,hypothesis,
sdtpldt0(xS,sz0z00) = xS,
inference(rw,[status(thm)],[c_0_145,c_0_160]) ).
cnf(c_0_174,hypothesis,
sdtpldt0(sz0z00,xR) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_161]),c_0_138])]) ).
cnf(c_0_175,hypothesis,
sdtasdt0(xA,sdtpldt0(xB,xB)) = sdtpldt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_56]),c_0_57])]) ).
cnf(c_0_176,hypothesis,
( sdtlseqdt0(smndt0(xP),sz0z00)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_127]),c_0_132])]) ).
cnf(c_0_177,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xP))
| ~ sdtlseqdt0(X2,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,xE)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_95]),c_0_75])]),c_0_115])]) ).
cnf(c_0_178,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_164,c_0_98]),c_0_165]),c_0_79]),c_0_74])]) ).
cnf(c_0_179,hypothesis,
sdtlseqdt0(xE,xE),
inference(spm,[status(thm)],[c_0_166,c_0_75]) ).
cnf(c_0_180,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),X3)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_79])]) ).
cnf(c_0_181,hypothesis,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_167]),c_0_115])]) ).
cnf(c_0_182,hypothesis,
( sdtlseqdt0(X1,xB)
| sdtlseqdt0(xB,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_57]) ).
cnf(c_0_183,hypothesis,
( sdtasdt0(xB,sdtasdt0(xB,X1)) = sdtasdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_81]),c_0_57])]) ).
cnf(c_0_184,hypothesis,
( smndt0(xR) = sz0z00
| ~ aScalar0(smndt0(xC)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_168]),c_0_169]),c_0_79]),c_0_121])]) ).
cnf(c_0_185,hypothesis,
( sdtlseqdt0(X1,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X1,sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_186,hypothesis,
xS = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_172]),c_0_173]) ).
cnf(c_0_187,hypothesis,
sdtpldt0(xR,sz0z00) = xR,
inference(rw,[status(thm)],[c_0_161,c_0_174]) ).
cnf(c_0_188,hypothesis,
( sdtlseqdt0(xP,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X2)
| ~ sdtlseqdt0(xE,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_189,hypothesis,
aScalar0(sdtpldt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_175]),c_0_57]),c_0_58])]) ).
cnf(c_0_190,hypothesis,
( smndt0(xP) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_176]),c_0_132]),c_0_79])]) ).
cnf(c_0_191,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,smndt0(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_177,c_0_178]),c_0_99]),c_0_179]),c_0_79]),c_0_75])]) ).
cnf(c_0_192,hypothesis,
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X1)
| ~ sdtlseqdt0(xH,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_115]),c_0_74])]) ).
cnf(c_0_193,hypothesis,
sdtlseqdt0(xB,xB),
inference(spm,[status(thm)],[c_0_182,c_0_57]) ).
cnf(c_0_194,hypothesis,
sdtasdt0(xG,xB) = sdtasdt0(xB,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_81]),c_0_57])]) ).
cnf(c_0_195,hypothesis,
smndt0(xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_66]),c_0_61])]) ).
cnf(c_0_196,hypothesis,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X1,sdtpldt0(xP,xP))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_187]),c_0_138])]) ).
cnf(c_0_197,hypothesis,
( sdtlseqdt0(xP,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(xH,sdtpldt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_157]),c_0_179]),c_0_75])]),c_0_189])]) ).
cnf(c_0_198,hypothesis,
( sdtlseqdt0(X1,xH)
| sdtlseqdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_74]) ).
cnf(c_0_199,hypothesis,
( smndt0(xP) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_200,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_127]),c_0_115])]) ).
cnf(c_0_201,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xB,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_193]),c_0_57])]) ).
cnf(c_0_202,hypothesis,
aScalar0(sdtasdt0(xB,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_194]),c_0_57]),c_0_60])]) ).
cnf(c_0_203,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),xR)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(X1,xC)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_59]),c_0_60]),c_0_61])]) ).
cnf(c_0_204,hypothesis,
xR = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_195]),c_0_187]) ).
cnf(c_0_205,hypothesis,
( sdtlseqdt0(X1,xG)
| sdtlseqdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_60]) ).
cnf(c_0_206,hypothesis,
( sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xH,sdtpldt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_148])]) ).
cnf(c_0_207,hypothesis,
sdtlseqdt0(xH,xH),
inference(spm,[status(thm)],[c_0_198,c_0_74]) ).
cnf(c_0_208,hypothesis,
( smndt0(xP) = sz0z00
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_209,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(xB,xG),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_201]),c_0_79]),c_0_202])]) ).
cnf(c_0_210,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(X1,xC)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_211,hypothesis,
sdtlseqdt0(xG,xG),
inference(spm,[status(thm)],[c_0_205,c_0_60]) ).
cnf(c_0_212,hypothesis,
( sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_106]),c_0_207]),c_0_74])]) ).
cnf(c_0_213,hypothesis,
( xP = sz0z00
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_208]),c_0_133]),c_0_148])]) ).
cnf(c_0_214,hypothesis,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_198,c_0_79]) ).
cnf(c_0_215,hypothesis,
( sdtasdt0(xA,sdtasdt0(xB,X1)) = sdtasdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_216,hypothesis,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_167]),c_0_115])]) ).
cnf(c_0_217,hypothesis,
( sdtlseqdt0(X1,xA)
| sdtlseqdt0(xA,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_58]) ).
cnf(c_0_218,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| ~ sdtlseqdt0(xB,xC) ),
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_209,c_0_210]),c_0_101]),c_0_211]),c_0_60]),c_0_57])]) ).
cnf(c_0_219,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_122]),c_0_61]),c_0_79])]) ).
fof(c_0_220,plain,
! [X23,X24,X25,X26] :
( ~ aScalar0(X23)
| ~ aScalar0(X24)
| ~ aScalar0(X25)
| ~ aScalar0(X26)
| sdtasdt0(sdtpldt0(X23,X24),sdtpldt0(X25,X26)) = sdtpldt0(sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(X23,X26)),sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(X24,X26))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr2])]) ).
cnf(c_0_221,hypothesis,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_131]),c_0_132])]) ).
cnf(c_0_222,hypothesis,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_167]),c_0_115])]) ).
cnf(c_0_223,hypothesis,
( xR = xP
| ~ sdtlseqdt0(xR,xP)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_212]),c_0_148]),c_0_138])]) ).
cnf(c_0_224,hypothesis,
( xP = sz0z00
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_225,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),xP)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xH)
| ~ sdtlseqdt0(X1,xE)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_226,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),xH)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xB)
| ~ sdtlseqdt0(X1,xA)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_227,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_215,c_0_98]),c_0_216]),c_0_79]),c_0_57])]) ).
cnf(c_0_228,hypothesis,
sdtlseqdt0(xA,xA),
inference(spm,[status(thm)],[c_0_217,c_0_58]) ).
cnf(c_0_229,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| ~ sdtlseqdt0(xB,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_57])]) ).
cnf(c_0_230,hypothesis,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(sz0z00,xB) ),
inference(spm,[status(thm)],[c_0_182,c_0_79]) ).
cnf(c_0_231,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_81]),c_0_57])]) ).
cnf(c_0_232,plain,
( sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_233,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_129,c_0_221]),c_0_131]),c_0_148]),c_0_132])]) ).
cnf(c_0_234,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_129,c_0_222]),c_0_167]),c_0_74]),c_0_115])]) ).
fof(c_0_235,plain,
! [X50,X51] :
( ~ aScalar0(X50)
| ~ aScalar0(X51)
| ~ sdtlseqdt0(sz0z00,X50)
| ~ sdtlseqdt0(sz0z00,X51)
| sdtasdt0(X50,X50) != sdtasdt0(X51,X51)
| X50 = X51 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])]) ).
cnf(c_0_236,plain,
( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_78]),c_0_133]),c_0_79])]) ).
cnf(c_0_237,hypothesis,
( xP = sz0z00
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_204]),c_0_204]),c_0_224]) ).
cnf(c_0_238,hypothesis,
( sdtlseqdt0(sz0z00,xP)
| ~ 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_225,c_0_178]),c_0_99]),c_0_179]),c_0_79]),c_0_75])]) ).
cnf(c_0_239,hypothesis,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB) ),
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_226,c_0_227]),c_0_99]),c_0_228]),c_0_79]),c_0_58])]) ).
cnf(c_0_240,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| sdtlseqdt0(sz0z00,xB) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_241,hypothesis,
smndt0(smndt0(xG)) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_231]),c_0_81]),c_0_57])]) ).
cnf(c_0_242,hypothesis,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_231]),c_0_57])]) ).
cnf(c_0_243,hypothesis,
( sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xH)),sdtpldt0(sdtasdt0(xE,X2),xP)) = sdtasdt0(sdtpldt0(X1,xE),sdtpldt0(X2,xH))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_244,hypothesis,
sdtpldt0(sz0z00,xP) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_233]),c_0_148])]) ).
cnf(c_0_245,hypothesis,
sdtpldt0(sz0z00,xH) = xH,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_234]),c_0_74])]) ).
cnf(c_0_246,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_247,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_133]),c_0_79])]) ).
cnf(c_0_248,hypothesis,
( xP = sz0z00
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_249,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_250,hypothesis,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_241]),c_0_242])]) ).
cnf(c_0_251,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_252,hypothesis,
sdtpldt0(sdtpldt0(sz0z00,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(spm,[status(thm)],[c_0_243,c_0_216]),c_0_178]),c_0_244]),c_0_245]),c_0_79]),c_0_74])]) ).
cnf(c_0_253,plain,
( sdtpldt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz0z00,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_98]),c_0_79])]) ).
cnf(c_0_254,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_255,hypothesis,
sdtpldt0(smndt0(xH),sz0z00) = sdtpldt0(sz0z00,smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_181]),c_0_115]),c_0_74])]) ).
cnf(c_0_256,plain,
( X1 = sz0z00
| sdtasdt0(X1,X1) != sz0z00
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_127]),c_0_79])]),c_0_247]) ).
cnf(c_0_257,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_258,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_183,c_0_98]),c_0_250]),c_0_79]),c_0_57])]) ).
cnf(c_0_259,hypothesis,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_251,c_0_117]) ).
cnf(c_0_260,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),xP) = sdtasdt0(sdtpldt0(xH,xE),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_245]),c_0_74])]) ).
cnf(c_0_261,plain,
( aScalar0(sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_254]),c_0_50]),c_0_50]) ).
cnf(c_0_262,hypothesis,
sdtpldt0(sz0z00,smndt0(xH)) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_255]),c_0_115])]) ).
fof(c_0_263,plain,
! [X66,X67] :
( ~ aVector0(X66)
| ~ aVector0(X67)
| aDimensionOf0(X66) != aDimensionOf0(X67)
| aDimensionOf0(X67) = sz00
| sdtasasdt0(X66,X67) = sdtpldt0(sdtasasdt0(sziznziztdt0(X66),sziznziztdt0(X67)),sdtasdt0(sdtlbdtrb0(X66,aDimensionOf0(X66)),sdtlbdtrb0(X67,aDimensionOf0(X67)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPN])]) ).
cnf(c_0_264,hypothesis,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_265,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1678_01]) ).
cnf(c_0_266,hypothesis,
( xG = 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_256,c_0_119]),c_0_60]),c_0_99]),c_0_79])]) ).
cnf(c_0_267,hypothesis,
( sdtasdt0(xG,xG) = sz0z00
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_257]),c_0_258]),c_0_60])]) ).
cnf(c_0_268,hypothesis,
( sdtlseqdt0(X1,xP)
| sdtlseqdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_148]) ).
cnf(c_0_269,hypothesis,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_106]),c_0_148])]) ).
cnf(c_0_270,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_271,hypothesis,
( sdtpldt0(xP,sdtasdt0(X1,xH)) = sdtasdt0(sdtpldt0(xE,X1),xH)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_272,hypothesis,
( sdtpldt0(xP,sdtasdt0(xH,xH)) = sdtasdt0(sdtpldt0(xH,xE),xH)
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_148])]) ).
cnf(c_0_273,hypothesis,
( aScalar0(sdtasdt0(smndt0(xH),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_115]),c_0_79])]) ).
cnf(c_0_274,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_44]) ).
cnf(c_0_275,plain,
( aDimensionOf0(X2) = sz00
| sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_276,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_277,hypothesis,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_278,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(rw,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_279,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[m__1692]) ).
cnf(c_0_280,hypothesis,
sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_81]),c_0_57])]) ).
cnf(c_0_281,hypothesis,
( xP = sz0z00
| xG = sz0z00 ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_282,hypothesis,
( sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_268,c_0_79]) ).
cnf(c_0_283,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_269,c_0_204]) ).
cnf(c_0_284,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_117]) ).
cnf(c_0_285,hypothesis,
( sdtasdt0(sdtpldt0(xH,xE),xH) = sdtasdt0(sdtpldt0(xE,xH),xH)
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_74])]) ).
cnf(c_0_286,hypothesis,
( aScalar0(sdtasdt0(xH,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_74])]) ).
fof(c_0_287,plain,
! [X62,X63] :
( ~ aVector0(X62)
| ~ aVector0(X63)
| aDimensionOf0(X62) != aDimensionOf0(X63)
| aScalar0(sdtasasdt0(X62,X63)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])]) ).
cnf(c_0_288,hypothesis,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(X1) ),
inference(sr,[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_275,c_0_276]),c_0_277]),c_0_265]),c_0_278]),c_0_265]),c_0_265]),c_0_279]) ).
cnf(c_0_289,hypothesis,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_290,hypothesis,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_291,hypothesis,
xE = sdtasasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_292,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_293,hypothesis,
( sdtasdt0(xH,xB) = sz0z00
| xP = sz0z00 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_227]) ).
cnf(c_0_294,hypothesis,
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X1)
| ~ sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_147]),c_0_132]),c_0_148])]) ).
cnf(c_0_295,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_282]),c_0_79]),c_0_148])]),c_0_283]) ).
cnf(c_0_296,hypothesis,
sdtlseqdt0(xP,xP),
inference(spm,[status(thm)],[c_0_268,c_0_148]) ).
cnf(c_0_297,hypothesis,
( sdtasdt0(sdtpldt0(xE,xH),xH) = sdtasdt0(xH,sdtpldt0(xH,xE))
| ~ aScalar0(sdtpldt0(xH,xE))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_74])]) ).
cnf(c_0_298,hypothesis,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_167]),c_0_115])]) ).
cnf(c_0_299,plain,
( aScalar0(sdtasasdt0(X1,X2))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_300,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_288,c_0_289]),c_0_290]),c_0_291]),c_0_56]),c_0_292])]) ).
cnf(c_0_301,hypothesis,
( aScalar0(sdtasdt0(sdtpldt0(xH,xE),xH))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_260]),c_0_148])]) ).
cnf(c_0_302,hypothesis,
( sdtasdt0(xP,xB) = sz0z00
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_293]),c_0_178]),c_0_57])]) ).
cnf(c_0_303,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_127]),c_0_132])]) ).
cnf(c_0_304,hypothesis,
sdtlseqdt0(xP,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_148])]) ).
cnf(c_0_305,hypothesis,
( sdtpldt0(sdtasdt0(X1,xH),xP) = sdtasdt0(sdtpldt0(X1,xE),xH)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_306,hypothesis,
( sdtasdt0(sdtpldt0(xE,xH),xH) = sdtasdt0(xH,sdtpldt0(xH,xE))
| ~ aScalar0(sdtpldt0(xH,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_298])]) ).
cnf(c_0_307,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_299,c_0_300]),c_0_265]),c_0_276]),c_0_292])]) ).
cnf(c_0_308,hypothesis,
aScalar0(sdtasdt0(sdtpldt0(xH,xE),xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_298])]) ).
cnf(c_0_309,hypothesis,
sdtasdt0(sdtpldt0(xH,xE),xH) = sdtasdt0(sdtpldt0(xE,xH),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_298])]) ).
cnf(c_0_310,hypothesis,
( sdtasdt0(smndt0(xP),xB) = sz0z00
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_302]),c_0_133]),c_0_57]),c_0_148])]) ).
cnf(c_0_311,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_304])]) ).
cnf(c_0_312,hypothesis,
( sdtpldt0(sdtasdt0(xH,sdtpldt0(xH,xE)),xP) = sdtasdt0(sdtpldt0(sdtpldt0(xE,xH),xE),xH)
| ~ aScalar0(sdtpldt0(xH,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307])]) ).
cnf(c_0_313,hypothesis,
aScalar0(sdtasdt0(sdtpldt0(xE,xH),xH)),
inference(rw,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_314,hypothesis,
( sdtasdt0(xB,smndt0(xP)) = sz0z00
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_310]),c_0_57]),c_0_132])]) ).
cnf(c_0_315,hypothesis,
( smndt0(xP) = sz0z00
| sdtasdt0(smndt0(xP),smndt0(xP)) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_311]),c_0_132])]) ).
cnf(c_0_316,hypothesis,
sdtpldt0(sdtasdt0(xH,sdtpldt0(xE,xH)),xP) = sdtasdt0(sdtpldt0(sdtpldt0(xE,xH),xE),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_259]),c_0_307]),c_0_75]),c_0_74])]) ).
cnf(c_0_317,hypothesis,
aScalar0(sdtasdt0(xH,sdtpldt0(xE,xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_284]),c_0_74]),c_0_307])]) ).
cnf(c_0_318,hypothesis,
( sdtasdt0(xB,xP) = sz0z00
| xP = 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_49,c_0_314]),c_0_133]),c_0_131]),c_0_132]),c_0_57])]) ).
cnf(c_0_319,hypothesis,
( smndt0(xP) = sz0z00
| sdtasdt0(xP,xP) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_274]),c_0_131]),c_0_132]),c_0_148])]) ).
cnf(c_0_320,hypothesis,
( sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xH,xE))) = sdtasdt0(sdtpldt0(xE,sdtpldt0(xE,xH)),xH)
| ~ aScalar0(sdtpldt0(xH,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_306]),c_0_307])]) ).
cnf(c_0_321,hypothesis,
sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))) = sdtasdt0(sdtpldt0(sdtpldt0(xE,xH),xE),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_316]),c_0_148]),c_0_317])]) ).
cnf(c_0_322,plain,
( sdtpldt0(sz0z00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_85]),c_0_79])]) ).
cnf(c_0_323,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),xP) = sdtasdt0(sdtpldt0(xE,xH),xH),
inference(rw,[status(thm)],[c_0_260,c_0_309]) ).
cnf(c_0_324,hypothesis,
( sdtpldt0(sdtasdt0(sdtpldt0(xE,xH),xH),xP) = sdtasdt0(sdtpldt0(sdtpldt0(xH,xE),xE),xH)
| ~ aScalar0(sdtpldt0(xH,xE)) ),
inference(spm,[status(thm)],[c_0_305,c_0_309]) ).
cnf(c_0_325,hypothesis,
( sdtasdt0(xH,xP) = sz0z00
| xP = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_318]),c_0_227]),c_0_148])]) ).
cnf(c_0_326,hypothesis,
( xP = sz0z00
| sdtasdt0(xP,xP) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_319]),c_0_133]),c_0_148])]) ).
cnf(c_0_327,hypothesis,
sdtasdt0(sdtpldt0(sdtpldt0(xE,xH),xE),xH) = sdtasdt0(sdtpldt0(xE,sdtpldt0(xE,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_320,c_0_259]),c_0_321]),c_0_307]),c_0_75]),c_0_74])]) ).
cnf(c_0_328,hypothesis,
sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xE,xH),xH)) = sdtasdt0(sdtpldt0(xE,xH),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_148]),c_0_298])]) ).
fof(c_0_329,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_330,hypothesis,
( sdtpldt0(xP,sdtasdt0(sdtpldt0(xE,xH),xH)) = sdtasdt0(sdtpldt0(sdtpldt0(xH,xE),xE),xH)
| ~ aScalar0(sdtpldt0(xH,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_324]),c_0_148]),c_0_313])]) ).
cnf(c_0_331,hypothesis,
xP = sz0z00,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_325]),c_0_178]),c_0_148])]),c_0_326]) ).
cnf(c_0_332,hypothesis,
sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))) = sdtasdt0(sdtpldt0(xE,sdtpldt0(xE,xH)),xH),
inference(rw,[status(thm)],[c_0_321,c_0_327]) ).
cnf(c_0_333,hypothesis,
sdtpldt0(sz0z00,sdtasdt0(xH,sdtpldt0(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_328,c_0_284]),c_0_74]),c_0_307])]) ).
cnf(c_0_334,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(split_conjunct,[status(thm)],[c_0_329]) ).
cnf(c_0_335,hypothesis,
( sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH))) = sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_336,hypothesis,
( sdtasdt0(sdtpldt0(sdtpldt0(xH,xE),xE),xH) = sdtasdt0(sdtpldt0(xE,xH),xH)
| ~ aScalar0(sdtpldt0(xH,xE)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_331]),c_0_328]) ).
cnf(c_0_337,hypothesis,
sdtasdt0(sdtpldt0(xE,sdtpldt0(xE,xH)),xH) = sdtasdt0(xH,sdtpldt0(xE,xH)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_331]),c_0_333]) ).
cnf(c_0_338,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_112]),c_0_148])]) ).
cnf(c_0_339,hypothesis,
sdtpldt0(xP,sdtpldt0(sz0z00,sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(xE,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_335,c_0_216]),c_0_178]),c_0_244]),c_0_245]),c_0_79]),c_0_74])]) ).
cnf(c_0_340,hypothesis,
sdtasdt0(sdtpldt0(xE,xH),xH) = sdtasdt0(xH,sdtpldt0(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(spm,[status(thm)],[c_0_336,c_0_259]),c_0_327]),c_0_337]),c_0_307]),c_0_75]),c_0_74])]) ).
cnf(c_0_341,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH)))))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_112]),c_0_109]),c_0_138])]) ).
cnf(c_0_342,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(split_conjunct,[status(thm)],[m__1967]) ).
cnf(c_0_343,hypothesis,
sdtpldt0(xP,sdtasdt0(xH,xH)) = sdtasdt0(sdtpldt0(xE,xH),xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_253]),c_0_245]),c_0_74])]) ).
cnf(c_0_344,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),sz0z00) = sdtasdt0(xH,sdtpldt0(xE,xH)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_331]),c_0_340]) ).
cnf(c_0_345,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(xP,sdtasdt0(sdtpldt0(xE,xH),xH)),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(xP,sdtasdt0(sdtpldt0(xE,xH),xH)))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_84]),c_0_342])]),c_0_343]),c_0_343]) ).
cnf(c_0_346,hypothesis,
sdtasdt0(xH,sdtpldt0(xE,xH)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_344]),c_0_298])]) ).
cnf(c_0_347,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(xP,sdtasdt0(sdtpldt0(xE,xH),xH)),sdtpldt0(xR,sdtpldt0(sz0z00,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(xR,sdtpldt0(sz0z00,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(xP,sdtasdt0(sdtpldt0(xE,xH),xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_186]),c_0_186]),c_0_298])]) ).
cnf(c_0_348,hypothesis,
sdtpldt0(sz0z00,sdtasdt0(xH,xH)) = sdtasdt0(xH,xH),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_346]),c_0_346]) ).
cnf(c_0_349,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_331]),c_0_340]),c_0_346]),c_0_348]),c_0_204]),c_0_348]),c_0_204]),c_0_348]),c_0_298]),c_0_331]),c_0_340]),c_0_346]),c_0_348]),c_0_298])]) ).
cnf(c_0_350,negated_conjecture,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_127]),c_0_298])]) ).
cnf(c_0_351,negated_conjecture,
~ aScalar0(sdtasdt0(xE,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_50]),c_0_46]),c_0_61])]) ).
cnf(c_0_352,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_50]),c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 02:15:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 4.74/4.86 % Version : CSE_E---1.5
% 4.74/4.86 % Problem : theBenchmark.p
% 4.74/4.86 % Proof found
% 4.74/4.86 % SZS status Theorem for theBenchmark.p
% 4.74/4.86 % SZS output start Proof
% See solution above
% 4.74/4.88 % Total time : 4.262000 s
% 4.74/4.88 % SZS output end Proof
% 4.74/4.88 % Total time : 4.265000 s
%------------------------------------------------------------------------------