%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG070+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 : 600s
% DateTime : Mon Jul 18 20:26:48 EDT 2022
% Result : Theorem 0.24s 2.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of formulae : 172 ( 70 unt; 0 def)
% Number of atoms : 454 ( 114 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 472 ( 190 ~; 194 |; 66 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 17 con; 0-2 aty)
% Number of variables : 140 ( 1 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p',mScZero) ).
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/solver/bin/../tmp/theBenchmark.p',mMNeg) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mNegSc) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1949) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1892) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1783) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1854) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1930) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1837) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1800) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSZeroSc) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSqPos) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mScSqPos) ).
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/solver/bin/../tmp/theBenchmark.p',mArith) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mLETot) ).
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/solver/bin/../tmp/theBenchmark.p',mLEMonM) ).
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/solver/bin/../tmp/theBenchmark.p',mPosMon) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1746) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1726) ).
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/solver/bin/../tmp/theBenchmark.p',mLEMon) ).
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/solver/bin/../tmp/theBenchmark.p',mDistr) ).
fof(m__1709,hypothesis,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1709) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1766) ).
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/solver/bin/../tmp/theBenchmark.p',mLETrn) ).
fof(m__1911,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1911) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mLERef) ).
fof(m__2590,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2590) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mLEASm) ).
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/solver/bin/../tmp/theBenchmark.p',mSqrt) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1820) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1873) ).
fof(m__2004,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2004) ).
fof(c_0_33,plain,
! [X2] :
( ( sdtpldt0(X2,sz0z00) = X2
| ~ aScalar0(X2) )
& ( sdtpldt0(sz0z00,X2) = X2
| ~ aScalar0(X2) )
& ( sdtasdt0(X2,sz0z00) = sz0z00
| ~ aScalar0(X2) )
& ( sdtasdt0(sz0z00,X2) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(X2,smndt0(X2)) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(smndt0(X2),X2) = sz0z00
| ~ aScalar0(X2) )
& ( smndt0(smndt0(X2)) = X2
| ~ aScalar0(X2) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
fof(c_0_34,plain,
! [X3,X4] :
( ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
fof(c_0_35,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
fof(c_0_36,plain,
! [X2] :
( ~ aScalar0(X2)
| aScalar0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
cnf(c_0_37,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_39,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( sdtasdt0(X2,smndt0(X1)) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_43,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_44,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_45,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_47,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_48,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_49,plain,
( sdtasdt0(smndt0(X2),X1) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_50,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_52,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_53,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_54,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_40,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_55,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_41]) ).
fof(c_0_56,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
fof(c_0_57,plain,
! [X2] :
( ~ aVector0(X2)
| sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
fof(c_0_58,plain,
! [X4,X5,X6] :
( ( sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtpldt0(X4,X5) = sdtpldt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(X4,X5) = sdtasdt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).
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_40,c_0_46]),c_0_47]),c_0_48])]) ).
fof(c_0_60,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).
fof(c_0_61,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtasdt0(X5,X7),sdtasdt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).
cnf(c_0_62,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_63,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_64,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_65,plain,
( sdtasdt0(smndt0(X1),sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_66,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_53,c_0_54]),c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_67,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_43]),c_0_44])]) ).
fof(c_0_68,plain,
! [X3,X4] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).
cnf(c_0_69,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_70,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_71,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_72,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_73,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_74,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[m__1726]) ).
cnf(c_0_75,plain,
( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_76,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_77,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_78,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_53,c_0_59]),c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_79,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_59]),c_0_47]),c_0_48])]) ).
cnf(c_0_80,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_81,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_82,hypothesis,
sdtasdt0(smndt0(xR),xS) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_62]),c_0_63]),c_0_64])]) ).
cnf(c_0_83,hypothesis,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_84,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_85,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_86,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_87,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
fof(c_0_88,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtpldt0(X5,X7),sdtpldt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).
fof(c_0_89,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])]) ).
cnf(c_0_90,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_45]) ).
cnf(c_0_91,hypothesis,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_92,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_93,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[m__1709]) ).
cnf(c_0_94,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_95,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_96,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_62]),c_0_63]),c_0_64])]) ).
fof(c_0_97,plain,
! [X4,X5,X6] :
( ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).
cnf(c_0_98,hypothesis,
( sdtlseqdt0(xS,X1)
| sdtlseqdt0(X1,xS)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_64]) ).
cnf(c_0_99,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_100,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xN))
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xS)
| ~ 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_81,c_0_82]),c_0_64])]),c_0_67])]) ).
cnf(c_0_101,hypothesis,
sdtasdt0(smndt0(xR),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_83]),c_0_52]),c_0_63]),c_0_51])]) ).
cnf(c_0_102,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_84]),c_0_51])]) ).
cnf(c_0_103,hypothesis,
sdtlseqdt0(sz0z00,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_46]),c_0_47]),c_0_48])]),c_0_86]),c_0_87])]) ).
fof(c_0_104,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
cnf(c_0_105,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_106,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_107,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_108,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_90,c_0_91]),c_0_78]),c_0_79]),c_0_64])]) ).
cnf(c_0_109,hypothesis,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_62]),c_0_63]),c_0_64])]) ).
cnf(c_0_110,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_92]),c_0_93])]) ).
cnf(c_0_111,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_94]),c_0_95])]) ).
cnf(c_0_112,hypothesis,
smndt0(smndt0(xN)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_96]),c_0_62]),c_0_63]),c_0_64])]) ).
cnf(c_0_113,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_96]),c_0_63]),c_0_64])]) ).
fof(c_0_114,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(fof_simplification,[status(thm)],[m__2590]) ).
cnf(c_0_115,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_116,hypothesis,
( sdtlseqdt0(xP,xS)
| sdtlseqdt0(xS,xP) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_117,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])]) ).
cnf(c_0_118,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xR),smndt0(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_100,c_0_101]),c_0_102]),c_0_103]),c_0_51]),c_0_67])]) ).
cnf(c_0_119,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_120,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(X2,smndt0(X3))
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_77]),c_0_45]) ).
cnf(c_0_121,plain,
( sdtpldt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz0z00,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_50]),c_0_51])]) ).
cnf(c_0_122,hypothesis,
sdtpldt0(sz0z00,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_64])]) ).
cnf(c_0_123,hypothesis,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_103])]) ).
cnf(c_0_124,hypothesis,
sdtlseqdt0(sz0z00,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_42]),c_0_43]),c_0_44])]),c_0_110]),c_0_111])]) ).
cnf(c_0_125,hypothesis,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_112]),c_0_113])]) ).
cnf(c_0_126,hypothesis,
( sdtlseqdt0(xP,X1)
| sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_99]) ).
cnf(c_0_127,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_128,hypothesis,
( sdtlseqdt0(xP,xS)
| sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X1,xS)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_64]),c_0_99])]) ).
cnf(c_0_129,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_130,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_67])]) ).
cnf(c_0_131,plain,
( sdtlseqdt0(sdtpldt0(X1,smndt0(X2)),sz0z00)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_119]),c_0_45]) ).
cnf(c_0_132,hypothesis,
sdtpldt0(sz0z00,smndt0(xN)) = smndt0(xN),
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_121,c_0_82]),c_0_122]),c_0_82]),c_0_67]),c_0_64])]) ).
cnf(c_0_133,hypothesis,
sdtlseqdt0(sz0z00,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
cnf(c_0_134,hypothesis,
sdtpldt0(xN,sz0z00) = sdtpldt0(sz0z00,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_125]),c_0_112]),c_0_113]),c_0_38])]) ).
fof(c_0_135,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| sdtasdt0(X3,X3) != sdtasdt0(X4,X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])]) ).
cnf(c_0_136,hypothesis,
( sdtlseqdt0(xR,xP)
| sdtlseqdt0(xP,xR) ),
inference(spm,[status(thm)],[c_0_126,c_0_63]) ).
cnf(c_0_137,hypothesis,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_105]),c_0_64]),c_0_63]),c_0_99])]) ).
cnf(c_0_138,hypothesis,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xP,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_103]),c_0_51])]) ).
cnf(c_0_139,hypothesis,
( smndt0(xN) = sz0z00
| ~ sdtlseqdt0(smndt0(xN),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_51]),c_0_113])]) ).
cnf(c_0_140,hypothesis,
sdtlseqdt0(smndt0(xN),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_38]),c_0_51])]) ).
cnf(c_0_141,hypothesis,
sdtpldt0(sz0z00,xN) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_134]),c_0_38])]) ).
cnf(c_0_142,plain,
( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_143,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_144,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_145,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_146,plain,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_147,hypothesis,
( sdtlseqdt0(xP,xR)
| sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X1,xR)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_136]),c_0_63]),c_0_99])]) ).
cnf(c_0_148,hypothesis,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,xR) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_149,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(split_conjunct,[status(thm)],[m__2004]) ).
cnf(c_0_150,hypothesis,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_112]),c_0_113])]) ).
cnf(c_0_151,hypothesis,
smndt0(xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_152,hypothesis,
sdtpldt0(xN,sz0z00) = xN,
inference(rw,[status(thm)],[c_0_134,c_0_141]) ).
cnf(c_0_153,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_142]),c_0_41]) ).
cnf(c_0_154,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_142,c_0_143]),c_0_144]),c_0_145])]) ).
cnf(c_0_155,plain,
( X1 = sz0z00
| sdtasdt0(X1,X1) != sdtasdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_119]),c_0_51])]) ).
cnf(c_0_156,hypothesis,
sdtlseqdt0(sz0z00,xP),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_124]),c_0_51])]),c_0_148]) ).
cnf(c_0_157,plain,
( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_84]),c_0_51])]),c_0_52]) ).
cnf(c_0_158,hypothesis,
( sdtasdt0(xP,xP) = xN
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_149]),c_0_38])]) ).
cnf(c_0_159,hypothesis,
xN = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
cnf(c_0_160,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xP,xP)),
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_153,c_0_154]),c_0_143]),c_0_144]),c_0_145]),c_0_143]),c_0_99])]) ).
cnf(c_0_161,hypothesis,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_103]),c_0_51]),c_0_64])]) ).
cnf(c_0_162,hypothesis,
( xP = sz0z00
| sdtasdt0(xP,xP) != sdtasdt0(sz0z00,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_99])]) ).
cnf(c_0_163,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_52]),c_0_51])]) ).
cnf(c_0_164,hypothesis,
( sdtasdt0(xP,xP) = sz0z00
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159]),c_0_159]),c_0_160])]) ).
cnf(c_0_165,hypothesis,
( ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_161]),c_0_99])]) ).
cnf(c_0_166,hypothesis,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_124]),c_0_51]),c_0_63])]) ).
cnf(c_0_167,hypothesis,
( xP = sz0z00
| sdtasdt0(xP,xP) != sz0z00 ),
inference(rw,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,hypothesis,
sdtasdt0(xP,xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_41]),c_0_99])]) ).
cnf(c_0_169,hypothesis,
~ sdtlseqdt0(xP,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_99])]) ).
cnf(c_0_170,hypothesis,
xP = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]) ).
cnf(c_0_171,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG070+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 12:23:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/2.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/2.41 # Preprocessing time : 0.018 s
% 0.24/2.41
% 0.24/2.41 # Proof found!
% 0.24/2.41 # SZS status Theorem
% 0.24/2.41 # SZS output start CNFRefutation
% See solution above
% 0.24/2.41 # Proof object total steps : 172
% 0.24/2.41 # Proof object clause steps : 122
% 0.24/2.41 # Proof object formula steps : 50
% 0.24/2.41 # Proof object conjectures : 0
% 0.24/2.41 # Proof object clause conjectures : 0
% 0.24/2.41 # Proof object formula conjectures : 0
% 0.24/2.41 # Proof object initial clauses used : 49
% 0.24/2.41 # Proof object initial formulas used : 33
% 0.24/2.41 # Proof object generating inferences : 64
% 0.24/2.41 # Proof object simplifying inferences : 182
% 0.24/2.41 # Training examples: 0 positive, 0 negative
% 0.24/2.41 # Parsed axioms : 61
% 0.24/2.41 # Removed by relevancy pruning/SinE : 0
% 0.24/2.41 # Initial clauses : 95
% 0.24/2.41 # Removed in clause preprocessing : 5
% 0.24/2.41 # Initial clauses in saturation : 90
% 0.24/2.41 # Processed clauses : 3844
% 0.24/2.41 # ...of these trivial : 151
% 0.24/2.41 # ...subsumed : 1982
% 0.24/2.41 # ...remaining for further processing : 1711
% 0.24/2.41 # Other redundant clauses eliminated : 1
% 0.24/2.41 # Clauses deleted for lack of memory : 0
% 0.24/2.41 # Backward-subsumed : 114
% 0.24/2.41 # Backward-rewritten : 601
% 0.24/2.41 # Generated clauses : 78919
% 0.24/2.41 # ...of the previous two non-trivial : 74657
% 0.24/2.41 # Contextual simplify-reflections : 952
% 0.24/2.41 # Paramodulations : 78905
% 0.24/2.41 # Factorizations : 0
% 0.24/2.41 # Equation resolutions : 14
% 0.24/2.41 # Current number of processed clauses : 996
% 0.24/2.41 # Positive orientable unit clauses : 179
% 0.24/2.41 # Positive unorientable unit clauses: 0
% 0.24/2.41 # Negative unit clauses : 3
% 0.24/2.41 # Non-unit-clauses : 814
% 0.24/2.41 # Current number of unprocessed clauses: 48509
% 0.24/2.41 # ...number of literals in the above : 316927
% 0.24/2.41 # Current number of archived formulas : 0
% 0.24/2.41 # Current number of archived clauses : 715
% 0.24/2.41 # Clause-clause subsumption calls (NU) : 350535
% 0.24/2.41 # Rec. Clause-clause subsumption calls : 168676
% 0.24/2.41 # Non-unit clause-clause subsumptions : 2847
% 0.24/2.41 # Unit Clause-clause subsumption calls : 3096
% 0.24/2.41 # Rewrite failures with RHS unbound : 0
% 0.24/2.41 # BW rewrite match attempts : 25
% 0.24/2.41 # BW rewrite match successes : 25
% 0.24/2.41 # Condensation attempts : 0
% 0.24/2.41 # Condensation successes : 0
% 0.24/2.41 # Termbank termtop insertions : 2180650
% 0.24/2.41
% 0.24/2.41 # -------------------------------------------------
% 0.24/2.41 # User time : 1.311 s
% 0.24/2.41 # System time : 0.039 s
% 0.24/2.41 # Total time : 1.350 s
% 0.24/2.41 # Maximum resident set size: 76720 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------