TSTP Solution File: RNG064+2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG064+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 19:15:34 EDT 2023
% Result : Theorem 3.47s 0.87s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 174 ( 77 unt; 0 def)
% Number of atoms : 458 ( 134 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 473 ( 189 ~; 186 |; 73 &)
% ( 0 <=>; 25 =>; 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 : 23 ( 23 usr; 15 con; 0-2 aty)
% Number of variables : 142 ( 2 sgn; 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSPN,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mDefSPN) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1726) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1766) ).
fof(m__1678_01,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1678_01) ).
fof(m__1678,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1678) ).
fof(m__1692,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1692) ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mScPr) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1800) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1854) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mArith) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mMNeg) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1892) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1783) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mMulSc) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1930) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1837) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mScZero) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1949) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mNegSc) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mSqPos) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mScSqPos) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mPosMon) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1746) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__1709) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mMDNeg) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mLEMon) ).
fof(m__2144,hypothesis,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__2144) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mLETot) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mSZeroSc) ).
fof(m__,conjecture,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',m__) ).
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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mLEMonM) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mLETrn) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p',mLEASm) ).
fof(c_0_33,plain,
! [X66,X67] :
( ~ aVector0(X66)
| ~ aVector0(X67)
| aDimensionOf0(X66) != aDimensionOf0(X67)
| aDimensionOf0(X67) = sz00
| sdtasasdt0(X66,X67) = sdtpldt0(sdtasasdt0(sziznziztdt0(X66),sziznziztdt0(X67)),sdtasdt0(sdtlbdtrb0(X66,aDimensionOf0(X66)),sdtlbdtrb0(X67,aDimensionOf0(X67)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPN])]) ).
fof(c_0_34,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])])]) ).
cnf(c_0_35,hypothesis,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_36,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1678_01]) ).
cnf(c_0_37,plain,
( aDimensionOf0(X2) = sz00
| sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,hypothesis,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_41,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[m__1692]) ).
fof(c_0_42,plain,
! [X62,X63] :
( ~ aVector0(X62)
| ~ aVector0(X63)
| aDimensionOf0(X62) != aDimensionOf0(X63)
| aScalar0(sdtasasdt0(X62,X63)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])]) ).
cnf(c_0_43,hypothesis,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_44,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_45,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
fof(c_0_46,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_47,plain,
( aScalar0(sdtasasdt0(X1,X2))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,hypothesis,
sdtasasdt0(xt,xt) = sdtpldt0(xD,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_38]),c_0_44]),c_0_39]),c_0_45]),c_0_40])]) ).
fof(c_0_49,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])])]) ).
cnf(c_0_50,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,hypothesis,
aScalar0(sdtpldt0(xD,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_40])]) ).
cnf(c_0_52,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_53,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_54,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_55,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
fof(c_0_56,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_57,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,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_52,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_59,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_60,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_61,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
fof(c_0_62,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])])]) ).
cnf(c_0_63,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_64,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_65,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_66,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_67,hypothesis,
( sdtasdt0(xG,smndt0(xC)) = smndt0(xR)
| ~ aScalar0(smndt0(xC)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_54])]) ).
fof(c_0_68,plain,
! [X15] :
( ~ aScalar0(X15)
| aScalar0(smndt0(X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
cnf(c_0_69,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_70,hypothesis,
sdtasdt0(xD,xF) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_60]),c_0_61])]) ).
fof(c_0_71,plain,
! [X49] :
( ~ aScalar0(X49)
| sdtlseqdt0(sz0z00,sdtasdt0(X49,X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
fof(c_0_72,plain,
! [X68] :
( ~ aVector0(X68)
| sdtlseqdt0(sz0z00,sdtasasdt0(X68,X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
cnf(c_0_73,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_74,hypothesis,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_57]),c_0_64]),c_0_65])]) ).
cnf(c_0_75,hypothesis,
( aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_54])]) ).
cnf(c_0_76,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,hypothesis,
sdtasdt0(xD,smndt0(xF)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_60]),c_0_61])]) ).
fof(c_0_78,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_79,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_80,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_81,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_82,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_83,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_84,hypothesis,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_57]) ).
cnf(c_0_85,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_69]),c_0_66]) ).
cnf(c_0_86,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_69,c_0_53]),c_0_54]),c_0_55])]) ).
fof(c_0_87,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])])]) ).
fof(c_0_88,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_89,hypothesis,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_57]) ).
cnf(c_0_90,hypothesis,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_74]),c_0_64]),c_0_65])]) ).
cnf(c_0_91,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_55])]) ).
cnf(c_0_92,hypothesis,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_77]),c_0_61])]) ).
cnf(c_0_93,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_94,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_95,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_44]),c_0_83])]) ).
cnf(c_0_96,plain,
( smndt0(sdtasdt0(smndt0(X1),X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_52]),c_0_66]) ).
cnf(c_0_97,hypothesis,
sdtasdt0(smndt0(xG),xC) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_53]),c_0_55]),c_0_54])]) ).
cnf(c_0_98,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_85,c_0_86]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_99,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_100,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_101,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
fof(c_0_102,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_103,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_104,hypothesis,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_65]),c_0_91])]) ).
cnf(c_0_105,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_106,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_76]),c_0_60])]) ).
cnf(c_0_107,hypothesis,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_63]),c_0_65]),c_0_64])]) ).
cnf(c_0_108,hypothesis,
sdtlseqdt0(sz0z00,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_70]),c_0_94]),c_0_95]),c_0_60]),c_0_61])]) ).
cnf(c_0_109,hypothesis,
sdtasdt0(xG,xC) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_55]),c_0_54])]) ).
cnf(c_0_110,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_99]),c_0_100])]) ).
cnf(c_0_111,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_45]),c_0_101])]) ).
fof(c_0_112,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_113,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_114,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_115,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_102]) ).
cnf(c_0_116,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_117,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_118,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_119,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_103,c_0_104]),c_0_63]),c_0_65]),c_0_64])]) ).
cnf(c_0_120,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_105]),c_0_64])]),c_0_106])]) ).
cnf(c_0_121,hypothesis,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_122,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_93,c_0_109]),c_0_110]),c_0_111]),c_0_55]),c_0_54])]) ).
cnf(c_0_123,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_124,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_125,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_126,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_69,c_0_59]),c_0_61]),c_0_60])]) ).
fof(c_0_127,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_128,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_129,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_115,c_0_116]),c_0_117])]) ).
cnf(c_0_130,hypothesis,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).
cnf(c_0_131,hypothesis,
sdtlseqdt0(sz0z00,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).
cnf(c_0_132,hypothesis,
( sdtlseqdt0(X1,smndt0(xN))
| sdtlseqdt0(smndt0(xN),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_120]) ).
fof(c_0_133,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_134,hypothesis,
( 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_89,c_0_124]),c_0_125]),c_0_117])]) ).
cnf(c_0_135,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_85,c_0_126]),c_0_59]),c_0_61]),c_0_60])]) ).
cnf(c_0_136,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_137,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_138,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_139,hypothesis,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(spm,[status(thm)],[c_0_66,c_0_128]) ).
fof(c_0_140,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])]) ).
fof(c_0_141,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_142,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_120]),c_0_114])]) ).
cnf(c_0_143,hypothesis,
sdtlseqdt0(smndt0(xN),smndt0(xN)),
inference(spm,[status(thm)],[c_0_132,c_0_120]) ).
cnf(c_0_144,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_133]) ).
cnf(c_0_145,hypothesis,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_146,hypothesis,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_106])]) ).
cnf(c_0_147,hypothesis,
( sdtlseqdt0(X1,smndt0(xS))
| sdtlseqdt0(smndt0(xS),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_106]) ).
cnf(c_0_148,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_149,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_118]),c_0_76]) ).
cnf(c_0_150,hypothesis,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_119]),c_0_120])]) ).
cnf(c_0_151,negated_conjecture,
( ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(xN,sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_115]),c_0_114])]) ).
cnf(c_0_152,hypothesis,
aScalar0(sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_76]),c_0_65])]) ).
cnf(c_0_153,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_154,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_155,hypothesis,
sdtlseqdt0(smndt0(xN),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_120])]) ).
cnf(c_0_156,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xN))
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xR)
| ~ 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_144,c_0_145]),c_0_64])]),c_0_106])]) ).
cnf(c_0_157,hypothesis,
sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_146]),c_0_125]),c_0_117]),c_0_65])]) ).
cnf(c_0_158,hypothesis,
sdtlseqdt0(smndt0(xS),smndt0(xS)),
inference(spm,[status(thm)],[c_0_147,c_0_106]) ).
cnf(c_0_159,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_148]),c_0_117])]) ).
cnf(c_0_160,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_161,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_149,c_0_150]),c_0_119]),c_0_114]),c_0_120])]) ).
cnf(c_0_162,negated_conjecture,
( ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(xN,sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152])]) ).
cnf(c_0_163,plain,
( sdtlseqdt0(X1,sdtasdt0(X2,X2))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(X2,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_79]),c_0_117])]) ).
cnf(c_0_164,hypothesis,
( smndt0(xN) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_120]),c_0_117])]) ).
cnf(c_0_165,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xN)),
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_156,c_0_157]),c_0_158]),c_0_159]),c_0_122]),c_0_117]),c_0_106])]) ).
cnf(c_0_166,hypothesis,
sdtpldt0(sz0z00,xN) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_114])]) ).
cnf(c_0_167,negated_conjecture,
( ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_114]),c_0_64])]) ).
cnf(c_0_168,hypothesis,
smndt0(xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).
cnf(c_0_169,hypothesis,
sdtpldt0(xN,sz0z00) = xN,
inference(rw,[status(thm)],[c_0_161,c_0_166]) ).
cnf(c_0_170,negated_conjecture,
( ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_163]),c_0_152]),c_0_114]),c_0_65])]) ).
cnf(c_0_171,hypothesis,
xN = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_168]),c_0_169]) ).
cnf(c_0_172,negated_conjecture,
~ aScalar0(sdtasdt0(xR,xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171]),c_0_159])]) ).
cnf(c_0_173,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_66]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : RNG064+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 2400
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Oct 2 19:45:34 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.hsS8oDGjHV/E---3.1_383.p
% 3.47/0.87 # Version: 3.1pre001
% 3.47/0.87 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.47/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.87 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.47/0.87 # Starting new_bool_3 with 300s (1) cores
% 3.47/0.87 # Starting new_bool_1 with 300s (1) cores
% 3.47/0.87 # Starting sh5l with 300s (1) cores
% 3.47/0.87 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 475 completed with status 0
% 3.47/0.87 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.47/0.87 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.47/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.87 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.47/0.87 # No SInE strategy applied
% 3.47/0.87 # Search class: FGHSF-FFMM21-MFFFFFNN
% 3.47/0.87 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.47/0.87 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.47/0.87 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.47/0.87 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 3.47/0.87 # Starting new_bool_3 with 136s (1) cores
% 3.47/0.87 # Starting new_bool_1 with 136s (1) cores
% 3.47/0.87 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 498 completed with status 0
% 3.47/0.87 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 3.47/0.87 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.47/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.87 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.47/0.87 # No SInE strategy applied
% 3.47/0.87 # Search class: FGHSF-FFMM21-MFFFFFNN
% 3.47/0.87 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.47/0.87 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.47/0.87 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.47/0.87 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 3.47/0.87 # Preprocessing time : 0.001 s
% 3.47/0.87 # Presaturation interreduction done
% 3.47/0.87
% 3.47/0.87 # Proof found!
% 3.47/0.87 # SZS status Theorem
% 3.47/0.87 # SZS output start CNFRefutation
% See solution above
% 3.47/0.87 # Parsed axioms : 64
% 3.47/0.87 # Removed by relevancy pruning/SinE : 0
% 3.47/0.87 # Initial clauses : 104
% 3.47/0.87 # Removed in clause preprocessing : 5
% 3.47/0.87 # Initial clauses in saturation : 99
% 3.47/0.87 # Processed clauses : 3269
% 3.47/0.87 # ...of these trivial : 396
% 3.47/0.87 # ...subsumed : 1401
% 3.47/0.87 # ...remaining for further processing : 1472
% 3.47/0.87 # Other redundant clauses eliminated : 6
% 3.47/0.87 # Clauses deleted for lack of memory : 0
% 3.47/0.87 # Backward-subsumed : 46
% 3.47/0.87 # Backward-rewritten : 446
% 3.47/0.87 # Generated clauses : 37051
% 3.47/0.87 # ...of the previous two non-redundant : 32929
% 3.47/0.87 # ...aggressively subsumed : 0
% 3.47/0.87 # Contextual simplify-reflections : 90
% 3.47/0.87 # Paramodulations : 37039
% 3.47/0.87 # Factorizations : 0
% 3.47/0.87 # NegExts : 0
% 3.47/0.87 # Equation resolutions : 12
% 3.47/0.87 # Total rewrite steps : 56355
% 3.47/0.87 # Propositional unsat checks : 0
% 3.47/0.87 # Propositional check models : 0
% 3.47/0.87 # Propositional check unsatisfiable : 0
% 3.47/0.87 # Propositional clauses : 0
% 3.47/0.87 # Propositional clauses after purity: 0
% 3.47/0.87 # Propositional unsat core size : 0
% 3.47/0.87 # Propositional preprocessing time : 0.000
% 3.47/0.87 # Propositional encoding time : 0.000
% 3.47/0.87 # Propositional solver time : 0.000
% 3.47/0.87 # Success case prop preproc time : 0.000
% 3.47/0.87 # Success case prop encoding time : 0.000
% 3.47/0.87 # Success case prop solver time : 0.000
% 3.47/0.87 # Current number of processed clauses : 878
% 3.47/0.87 # Positive orientable unit clauses : 383
% 3.47/0.87 # Positive unorientable unit clauses: 0
% 3.47/0.87 # Negative unit clauses : 3
% 3.47/0.87 # Non-unit-clauses : 492
% 3.47/0.87 # Current number of unprocessed clauses: 29699
% 3.47/0.87 # ...number of literals in the above : 128203
% 3.47/0.87 # Current number of archived formulas : 0
% 3.47/0.87 # Current number of archived clauses : 591
% 3.47/0.87 # Clause-clause subsumption calls (NU) : 71679
% 3.47/0.87 # Rec. Clause-clause subsumption calls : 29722
% 3.47/0.87 # Non-unit clause-clause subsumptions : 1499
% 3.47/0.87 # Unit Clause-clause subsumption calls : 3179
% 3.47/0.87 # Rewrite failures with RHS unbound : 0
% 3.47/0.87 # BW rewrite match attempts : 299
% 3.47/0.87 # BW rewrite match successes : 55
% 3.47/0.87 # Condensation attempts : 0
% 3.47/0.87 # Condensation successes : 0
% 3.47/0.87 # Termbank termtop insertions : 838162
% 3.47/0.87
% 3.47/0.87 # -------------------------------------------------
% 3.47/0.87 # User time : 0.421 s
% 3.47/0.87 # System time : 0.015 s
% 3.47/0.87 # Total time : 0.435 s
% 3.47/0.87 # Maximum resident set size: 1988 pages
% 3.47/0.87
% 3.47/0.87 # -------------------------------------------------
% 3.47/0.87 # User time : 2.218 s
% 3.47/0.87 # System time : 0.055 s
% 3.47/0.87 # Total time : 2.273 s
% 3.47/0.87 # Maximum resident set size: 1748 pages
% 3.47/0.87 % E---3.1 exiting
%------------------------------------------------------------------------------