TSTP Solution File: RNG076+2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:15:38 EDT 2023
% Result : Theorem 70.18s 9.45s
% Output : CNFRefutation 70.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 36
% Syntax : Number of formulae : 291 ( 109 unt; 0 def)
% Number of atoms : 746 ( 194 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 790 ( 335 ~; 351 |; 78 &)
% ( 0 <=>; 26 =>; 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 : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 211 ( 2 sgn; 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mScZero) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mMulSc) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1930) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1800) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1837) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mNegSc) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1726) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mSqPos) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1873) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1766) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1746) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1892) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1854) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mPosMon) ).
fof(m__1911,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1911) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mLEMonM) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.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/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mDistr) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mLERef) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1949) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mSumSc) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mLEASm) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mLETot) ).
fof(m__1983,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1983) ).
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/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mSqrt) ).
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/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',mMDNeg) ).
fof(m__1967,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p',m__1967) ).
fof(c_0_36,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_37,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_38,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_39,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_41,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_42,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_43,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,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_39,c_0_40]),c_0_41]),c_0_42])]) ).
fof(c_0_47,plain,
! [X15] :
( ~ aScalar0(X15)
| aScalar0(smndt0(X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
fof(c_0_48,plain,
! [X68] :
( ~ aVector0(X68)
| sdtlseqdt0(sz0z00,sdtasasdt0(X68,X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
fof(c_0_49,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_50,plain,
! [X49] :
( ~ aScalar0(X49)
| sdtlseqdt0(sz0z00,sdtasdt0(X49,X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
cnf(c_0_51,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_52,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_53,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_54,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_55,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_56,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
fof(c_0_57,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_58,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_59,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_44,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_60,hypothesis,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_41])]) ).
cnf(c_0_61,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_62,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_63,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_64,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_65,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_66,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_67,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_68,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_69,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_70,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_71,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_44,c_0_51]),c_0_52]),c_0_53])]) ).
fof(c_0_72,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_73,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_74,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(c_0_75,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_76,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_77,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_44,c_0_54]),c_0_55]),c_0_56])]) ).
fof(c_0_78,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_79,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_57]) ).
cnf(c_0_80,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_81,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_82,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_58,c_0_59]),c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_83,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_42])]) ).
cnf(c_0_84,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_85,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_86,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_53])]) ).
cnf(c_0_87,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_44]),c_0_45]) ).
cnf(c_0_88,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_67]),c_0_53])]) ).
fof(c_0_89,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_90,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_44,c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_91,hypothesis,
( aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_71]),c_0_53])]) ).
cnf(c_0_92,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_72]) ).
cnf(c_0_93,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_94,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_73]),c_0_74])]) ).
cnf(c_0_95,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_96,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_76]),c_0_52])]) ).
cnf(c_0_97,hypothesis,
( aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_77]),c_0_56])]) ).
cnf(c_0_98,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_99,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_100,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_101,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_79,c_0_80]),c_0_74])]) ).
cnf(c_0_102,hypothesis,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_103,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_84,c_0_40]),c_0_85]),c_0_86]),c_0_41]),c_0_42])]) ).
cnf(c_0_104,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
fof(c_0_105,plain,
! [X31] :
( ~ aScalar0(X31)
| sdtlseqdt0(X31,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
cnf(c_0_106,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_53])]) ).
cnf(c_0_107,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_108,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_109,hypothesis,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_90]),c_0_70])]) ).
cnf(c_0_110,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_61]),c_0_52])]) ).
cnf(c_0_111,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_112,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_113,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_92,c_0_93]),c_0_94]),c_0_74])]) ).
cnf(c_0_114,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_95,c_0_96]),c_0_55]),c_0_74])]) ).
cnf(c_0_115,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_58,c_0_77]),c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_116,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_61]),c_0_55])]) ).
cnf(c_0_117,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_98]),c_0_99])]) ).
fof(c_0_118,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_119,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_100]) ).
fof(c_0_120,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_121,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_101,c_0_102]),c_0_103]),c_0_83]),c_0_104])]) ).
cnf(c_0_122,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_123,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_92,c_0_46]),c_0_41])]),c_0_106])]) ).
cnf(c_0_124,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_81]),c_0_61]) ).
cnf(c_0_125,hypothesis,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_82]),c_0_83])]) ).
cnf(c_0_126,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_58,c_0_90]),c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_127,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_128,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_129,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_130,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_113,c_0_114]),c_0_55]),c_0_94]),c_0_74])]) ).
cnf(c_0_131,hypothesis,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_115]),c_0_116])]) ).
cnf(c_0_132,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_84,c_0_54]),c_0_96]),c_0_117]),c_0_55]),c_0_56])]) ).
cnf(c_0_133,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_134,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_135,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_119,c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_136,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_137,hypothesis,
sdtlseqdt0(smndt0(xS),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_83])]) ).
cnf(c_0_138,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_123,c_0_93]),c_0_94]),c_0_85]),c_0_74])]) ).
cnf(c_0_139,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_140,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_124,c_0_125]),c_0_82]),c_0_104]),c_0_83])]) ).
cnf(c_0_141,hypothesis,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_115]),c_0_116])]) ).
cnf(c_0_142,hypothesis,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_126]),c_0_127])]) ).
cnf(c_0_143,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_144,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_145,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_39,c_0_93]),c_0_128]),c_0_74])]) ).
cnf(c_0_146,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_147,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xG))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_122]) ).
cnf(c_0_148,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_39,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_149,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_101,c_0_131]),c_0_132]),c_0_116]),c_0_133])]) ).
cnf(c_0_150,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[m__1983]) ).
cnf(c_0_151,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_134,c_0_119]),c_0_45]),c_0_45]) ).
cnf(c_0_152,hypothesis,
sdtasdt0(xE,sdtpldt0(xH,xH)) = sdtpldt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_68]),c_0_69])]) ).
cnf(c_0_153,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_136,c_0_137]),c_0_83]),c_0_74])]) ).
cnf(c_0_154,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_122]),c_0_106])]) ).
cnf(c_0_155,hypothesis,
sdtpldt0(sz0z00,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_104])]) ).
cnf(c_0_156,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_124,c_0_141]),c_0_115]),c_0_133]),c_0_116])]) ).
cnf(c_0_157,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_119,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_158,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_101,c_0_142]),c_0_127]),c_0_143])]) ).
cnf(c_0_159,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_144,c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_160,hypothesis,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_126]),c_0_127])]) ).
cnf(c_0_161,hypothesis,
( sdtlseqdt0(X1,xE)
| sdtlseqdt0(xE,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_70]) ).
cnf(c_0_162,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_58,c_0_71]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_163,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_164,hypothesis,
sdtlseqdt0(smndt0(xR),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_122]),c_0_116])]) ).
cnf(c_0_165,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_95,c_0_150]) ).
cnf(c_0_166,hypothesis,
aScalar0(sdtpldt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_69]),c_0_70])]) ).
cnf(c_0_167,hypothesis,
smndt0(xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).
cnf(c_0_168,hypothesis,
sdtpldt0(xS,sz0z00) = xS,
inference(rw,[status(thm)],[c_0_140,c_0_155]) ).
cnf(c_0_169,hypothesis,
sdtpldt0(sz0z00,xR) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_156]),c_0_133])]) ).
cnf(c_0_170,hypothesis,
sdtasdt0(xA,sdtpldt0(xB,xB)) = sdtpldt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_51]),c_0_52])]) ).
cnf(c_0_171,hypothesis,
( sdtlseqdt0(smndt0(xP),sz0z00)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_122]),c_0_127])]) ).
cnf(c_0_172,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_92,c_0_90]),c_0_70])]),c_0_110])]) ).
cnf(c_0_173,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_159,c_0_93]),c_0_160]),c_0_74]),c_0_69])]) ).
cnf(c_0_174,hypothesis,
sdtlseqdt0(xE,xE),
inference(spm,[status(thm)],[c_0_161,c_0_70]) ).
cnf(c_0_175,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_79,c_0_80]),c_0_74])]) ).
cnf(c_0_176,hypothesis,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_162]),c_0_110])]) ).
cnf(c_0_177,hypothesis,
( sdtlseqdt0(X1,xB)
| sdtlseqdt0(xB,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_52]) ).
cnf(c_0_178,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_144,c_0_76]),c_0_52])]) ).
cnf(c_0_179,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_136,c_0_163]),c_0_164]),c_0_74]),c_0_116])]) ).
cnf(c_0_180,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_165,c_0_166])]) ).
cnf(c_0_181,hypothesis,
xS = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_167]),c_0_168]) ).
cnf(c_0_182,hypothesis,
sdtpldt0(xR,sz0z00) = xR,
inference(rw,[status(thm)],[c_0_156,c_0_169]) ).
cnf(c_0_183,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_92,c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_184,hypothesis,
aScalar0(sdtpldt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_170]),c_0_52]),c_0_53])]) ).
cnf(c_0_185,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_136,c_0_171]),c_0_127]),c_0_74])]) ).
cnf(c_0_186,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_172,c_0_173]),c_0_94]),c_0_174]),c_0_74]),c_0_70])]) ).
cnf(c_0_187,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_175,c_0_176]),c_0_110]),c_0_69])]) ).
cnf(c_0_188,hypothesis,
sdtlseqdt0(xB,xB),
inference(spm,[status(thm)],[c_0_177,c_0_52]) ).
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_178,c_0_76]),c_0_52])]) ).
cnf(c_0_190,hypothesis,
smndt0(xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_61]),c_0_56])]) ).
cnf(c_0_191,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_180,c_0_181]),c_0_182]),c_0_182]),c_0_133])]) ).
cnf(c_0_192,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_183,c_0_152]),c_0_174]),c_0_70])]),c_0_184])]) ).
cnf(c_0_193,hypothesis,
( sdtlseqdt0(X1,xH)
| sdtlseqdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_69]) ).
cnf(c_0_194,hypothesis,
( smndt0(xP) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_195,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_122]),c_0_110])]) ).
cnf(c_0_196,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xB,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_188]),c_0_52])]) ).
cnf(c_0_197,hypothesis,
aScalar0(sdtasdt0(xB,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_189]),c_0_52]),c_0_55])]) ).
cnf(c_0_198,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_92,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_199,hypothesis,
xR = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_190]),c_0_182]) ).
cnf(c_0_200,hypothesis,
( sdtlseqdt0(X1,xG)
| sdtlseqdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_55]) ).
cnf(c_0_201,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_191,c_0_192]),c_0_143])]) ).
cnf(c_0_202,hypothesis,
sdtlseqdt0(xH,xH),
inference(spm,[status(thm)],[c_0_193,c_0_69]) ).
cnf(c_0_203,hypothesis,
( smndt0(xP) = sz0z00
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_204,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_136,c_0_196]),c_0_74]),c_0_197])]) ).
cnf(c_0_205,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_198,c_0_199]) ).
cnf(c_0_206,hypothesis,
sdtlseqdt0(xG,xG),
inference(spm,[status(thm)],[c_0_200,c_0_55]) ).
cnf(c_0_207,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_201,c_0_101]),c_0_202]),c_0_69])]) ).
cnf(c_0_208,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_43,c_0_203]),c_0_128]),c_0_143])]) ).
cnf(c_0_209,hypothesis,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_193,c_0_74]) ).
cnf(c_0_210,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_144,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_211,hypothesis,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_162]),c_0_110])]) ).
cnf(c_0_212,hypothesis,
( sdtlseqdt0(X1,xA)
| sdtlseqdt0(xA,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_53]) ).
cnf(c_0_213,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_204,c_0_205]),c_0_96]),c_0_206]),c_0_55]),c_0_52])]) ).
cnf(c_0_214,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_95,c_0_117]),c_0_56]),c_0_74])]) ).
cnf(c_0_215,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_136,c_0_207]),c_0_143]),c_0_133])]) ).
cnf(c_0_216,hypothesis,
( xP = sz0z00
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_217,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_92,c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_218,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_92,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_219,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_210,c_0_93]),c_0_211]),c_0_74]),c_0_52])]) ).
cnf(c_0_220,hypothesis,
sdtlseqdt0(xA,xA),
inference(spm,[status(thm)],[c_0_212,c_0_53]) ).
cnf(c_0_221,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| ~ sdtlseqdt0(xB,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_52])]) ).
cnf(c_0_222,hypothesis,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(sz0z00,xB) ),
inference(spm,[status(thm)],[c_0_177,c_0_74]) ).
cnf(c_0_223,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_76]),c_0_52])]) ).
fof(c_0_224,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_225,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_44,c_0_73]),c_0_128]),c_0_74])]) ).
cnf(c_0_226,hypothesis,
( xP = sz0z00
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_199]),c_0_199]),c_0_216]) ).
cnf(c_0_227,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_217,c_0_173]),c_0_94]),c_0_174]),c_0_74]),c_0_70])]) ).
cnf(c_0_228,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_218,c_0_219]),c_0_94]),c_0_220]),c_0_74]),c_0_53])]) ).
cnf(c_0_229,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| sdtlseqdt0(sz0z00,xB) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_230,hypothesis,
smndt0(smndt0(xG)) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_223]),c_0_76]),c_0_52])]) ).
cnf(c_0_231,hypothesis,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_223]),c_0_52])]) ).
cnf(c_0_232,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_224]) ).
cnf(c_0_233,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_128]),c_0_74])]) ).
cnf(c_0_234,hypothesis,
( xP = sz0z00
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_235,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_236,hypothesis,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_230]),c_0_231])]) ).
cnf(c_0_237,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_232,c_0_122]),c_0_74])]),c_0_233]) ).
cnf(c_0_238,hypothesis,
( sdtasdt0(xB,xG) = sz0z00
| xP = sz0z00 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_239,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_178,c_0_93]),c_0_236]),c_0_74]),c_0_52])]) ).
cnf(c_0_240,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_237,c_0_114]),c_0_55]),c_0_94]),c_0_74])]) ).
cnf(c_0_241,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_178,c_0_238]),c_0_239]),c_0_55])]) ).
cnf(c_0_242,hypothesis,
( sdtlseqdt0(X1,xP)
| sdtlseqdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_143]) ).
cnf(c_0_243,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_191,c_0_101]),c_0_143])]) ).
cnf(c_0_244,hypothesis,
sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_76]),c_0_52])]) ).
cnf(c_0_245,hypothesis,
( xP = sz0z00
| xG = sz0z00 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_246,hypothesis,
( sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_242,c_0_74]) ).
cnf(c_0_247,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_243,c_0_199]) ).
cnf(c_0_248,hypothesis,
( sdtasdt0(xH,xB) = sz0z00
| xP = sz0z00 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_219]) ).
cnf(c_0_249,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_175,c_0_142]),c_0_127]),c_0_143])]) ).
cnf(c_0_250,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_95,c_0_246]),c_0_74]),c_0_143])]),c_0_247]) ).
cnf(c_0_251,hypothesis,
sdtlseqdt0(xP,xP),
inference(spm,[status(thm)],[c_0_242,c_0_143]) ).
cnf(c_0_252,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_100]) ).
cnf(c_0_253,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_124,c_0_176]),c_0_110]),c_0_69])]) ).
cnf(c_0_254,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_255,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_159,c_0_248]),c_0_173]),c_0_52])]) ).
cnf(c_0_256,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_122]),c_0_127])]) ).
cnf(c_0_257,hypothesis,
sdtlseqdt0(xP,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_143])]) ).
fof(c_0_258,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_259,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_134,c_0_252]),c_0_45]),c_0_45]) ).
cnf(c_0_260,hypothesis,
sdtpldt0(sz0z00,smndt0(xH)) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_253]),c_0_110])]) ).
fof(c_0_261,plain,
! [X29,X30] :
( ~ aScalar0(X29)
| ~ aScalar0(X30)
| sdtasdt0(smndt0(X29),smndt0(X30)) = sdtasdt0(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])]) ).
cnf(c_0_262,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_112]) ).
cnf(c_0_263,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_39,c_0_255]),c_0_128]),c_0_52]),c_0_143])]) ).
cnf(c_0_264,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257])]) ).
cnf(c_0_265,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_258]) ).
cnf(c_0_266,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_259,c_0_260]),c_0_110]),c_0_74])]) ).
cnf(c_0_267,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_268,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_269,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_262,c_0_263]),c_0_52]),c_0_127])]) ).
cnf(c_0_270,hypothesis,
( smndt0(xP) = sz0z00
| sdtasdt0(smndt0(xP),smndt0(xP)) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_264]),c_0_127])]) ).
cnf(c_0_271,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,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_265,c_0_107]),c_0_104]),c_0_133])]) ).
cnf(c_0_272,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(split_conjunct,[status(thm)],[m__1967]) ).
cnf(c_0_273,hypothesis,
( aScalar0(sdtasdt0(xH,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_69])]) ).
cnf(c_0_274,hypothesis,
( sdtasdt0(smndt0(X1),xH) = sdtasdt0(X1,smndt0(xH))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_162]),c_0_110])]) ).
cnf(c_0_275,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_44,c_0_269]),c_0_128]),c_0_126]),c_0_127]),c_0_52])]) ).
cnf(c_0_276,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_270,c_0_267]),c_0_126]),c_0_127]),c_0_143])]) ).
cnf(c_0_277,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_79]),c_0_272])]) ).
cnf(c_0_278,hypothesis,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_162]),c_0_110])]) ).
cnf(c_0_279,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_119,c_0_93]),c_0_74])]) ).
cnf(c_0_280,hypothesis,
sdtasdt0(smndt0(xH),smndt0(xH)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_162]),c_0_110])]) ).
cnf(c_0_281,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_210,c_0_275]),c_0_219]),c_0_143])]) ).
cnf(c_0_282,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_43,c_0_276]),c_0_128]),c_0_143])]) ).
cnf(c_0_283,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(xR,sdtpldt0(sz0z00,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(xR,sdtpldt0(sz0z00,sdtasdt0(xH,xH))))
| ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),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)],[c_0_277,c_0_181]),c_0_181]),c_0_278])]) ).
cnf(c_0_284,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(spm,[status(thm)],[c_0_279,c_0_280]),c_0_260]),c_0_280]),c_0_110])]) ).
cnf(c_0_285,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_159,c_0_281]),c_0_173]),c_0_143])]),c_0_282]) ).
cnf(c_0_286,hypothesis,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_128]),c_0_74])]) ).
cnf(c_0_287,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_283,c_0_284]),c_0_285]),c_0_285]),c_0_286]),c_0_284]),c_0_199]),c_0_284]),c_0_199]),c_0_284]),c_0_278]),c_0_285]),c_0_285]),c_0_286]),c_0_284]),c_0_278])]) ).
cnf(c_0_288,negated_conjecture,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_122]),c_0_278])]) ).
cnf(c_0_289,negated_conjecture,
~ aScalar0(sdtasdt0(xE,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_45]),c_0_41]),c_0_56])]) ).
cnf(c_0_290,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_45]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 19:36:20 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.HufonaJkd0/E---3.1_32561.p
% 70.18/9.45 # Version: 3.1pre001
% 70.18/9.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 70.18/9.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.18/9.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 70.18/9.45 # Starting new_bool_3 with 300s (1) cores
% 70.18/9.45 # Starting new_bool_1 with 300s (1) cores
% 70.18/9.45 # Starting sh5l with 300s (1) cores
% 70.18/9.45 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32669 completed with status 0
% 70.18/9.45 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 70.18/9.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 70.18/9.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.18/9.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 70.18/9.45 # No SInE strategy applied
% 70.18/9.45 # Search class: FGHSF-FFMM21-MFFFFFNN
% 70.18/9.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 70.18/9.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 70.18/9.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 70.18/9.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 70.18/9.45 # Starting new_bool_3 with 136s (1) cores
% 70.18/9.45 # Starting new_bool_1 with 136s (1) cores
% 70.18/9.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32675 completed with status 0
% 70.18/9.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 70.18/9.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 70.18/9.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.18/9.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 70.18/9.45 # No SInE strategy applied
% 70.18/9.45 # Search class: FGHSF-FFMM21-MFFFFFNN
% 70.18/9.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 70.18/9.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 70.18/9.45 # Preprocessing time : 0.002 s
% 70.18/9.45 # Presaturation interreduction done
% 70.18/9.45
% 70.18/9.45 # Proof found!
% 70.18/9.45 # SZS status Theorem
% 70.18/9.45 # SZS output start CNFRefutation
% See solution above
% 70.18/9.46 # Parsed axioms : 58
% 70.18/9.46 # Removed by relevancy pruning/SinE : 0
% 70.18/9.46 # Initial clauses : 96
% 70.18/9.46 # Removed in clause preprocessing : 5
% 70.18/9.46 # Initial clauses in saturation : 91
% 70.18/9.46 # Processed clauses : 18121
% 70.18/9.46 # ...of these trivial : 1264
% 70.18/9.46 # ...subsumed : 10127
% 70.18/9.46 # ...remaining for further processing : 6730
% 70.18/9.46 # Other redundant clauses eliminated : 3
% 70.18/9.46 # Clauses deleted for lack of memory : 0
% 70.18/9.46 # Backward-subsumed : 511
% 70.18/9.46 # Backward-rewritten : 3028
% 70.18/9.46 # Generated clauses : 355155
% 70.18/9.46 # ...of the previous two non-redundant : 325151
% 70.18/9.46 # ...aggressively subsumed : 0
% 70.18/9.46 # Contextual simplify-reflections : 183
% 70.18/9.46 # Paramodulations : 355129
% 70.18/9.46 # Factorizations : 0
% 70.18/9.46 # NegExts : 0
% 70.18/9.46 # Equation resolutions : 26
% 70.18/9.46 # Total rewrite steps : 758006
% 70.18/9.46 # Propositional unsat checks : 1
% 70.18/9.46 # Propositional check models : 0
% 70.18/9.46 # Propositional check unsatisfiable : 0
% 70.18/9.46 # Propositional clauses : 0
% 70.18/9.46 # Propositional clauses after purity: 0
% 70.18/9.46 # Propositional unsat core size : 0
% 70.18/9.46 # Propositional preprocessing time : 0.000
% 70.18/9.46 # Propositional encoding time : 0.579
% 70.18/9.46 # Propositional solver time : 0.433
% 70.18/9.46 # Success case prop preproc time : 0.000
% 70.18/9.46 # Success case prop encoding time : 0.000
% 70.18/9.46 # Success case prop solver time : 0.000
% 70.18/9.46 # Current number of processed clauses : 3097
% 70.18/9.46 # Positive orientable unit clauses : 917
% 70.18/9.46 # Positive unorientable unit clauses: 0
% 70.18/9.46 # Negative unit clauses : 36
% 70.18/9.46 # Non-unit-clauses : 2144
% 70.18/9.46 # Current number of unprocessed clauses: 304671
% 70.18/9.46 # ...number of literals in the above : 1237518
% 70.18/9.46 # Current number of archived formulas : 0
% 70.18/9.46 # Current number of archived clauses : 3630
% 70.18/9.46 # Clause-clause subsumption calls (NU) : 1652951
% 70.18/9.46 # Rec. Clause-clause subsumption calls : 825970
% 70.18/9.46 # Non-unit clause-clause subsumptions : 10510
% 70.18/9.46 # Unit Clause-clause subsumption calls : 89798
% 70.18/9.46 # Rewrite failures with RHS unbound : 0
% 70.18/9.46 # BW rewrite match attempts : 1228
% 70.18/9.46 # BW rewrite match successes : 157
% 70.18/9.46 # Condensation attempts : 0
% 70.18/9.46 # Condensation successes : 0
% 70.18/9.46 # Termbank termtop insertions : 11913759
% 70.18/9.46
% 70.18/9.46 # -------------------------------------------------
% 70.18/9.46 # User time : 8.505 s
% 70.18/9.46 # System time : 0.317 s
% 70.18/9.46 # Total time : 8.822 s
% 70.18/9.46 # Maximum resident set size: 1992 pages
% 70.18/9.46
% 70.18/9.46 # -------------------------------------------------
% 70.18/9.46 # User time : 42.026 s
% 70.18/9.46 # System time : 1.004 s
% 70.18/9.46 # Total time : 43.030 s
% 70.18/9.46 # Maximum resident set size: 1752 pages
% 70.18/9.46 % E---3.1 exiting
%------------------------------------------------------------------------------