TSTP Solution File: RNG054+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : RNG054+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:36:50 EDT 2024
% Result : Theorem 57.53s 7.76s
% Output : CNFRefutation 57.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 207 ( 105 unt; 0 def)
% Number of atoms : 482 ( 132 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 470 ( 195 ~; 195 |; 60 &)
% ( 0 <=>; 20 =>; 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 : 154 ( 2 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(m__1709,hypothesis,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(m__1911,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_31,plain,
! [X33,X34,X35] :
( ( sdtpldt0(sdtpldt0(X33,X34),X35) = sdtpldt0(X33,sdtpldt0(X34,X35))
| ~ aScalar0(X33)
| ~ aScalar0(X34)
| ~ aScalar0(X35) )
& ( sdtpldt0(X33,X34) = sdtpldt0(X34,X33)
| ~ aScalar0(X33)
| ~ aScalar0(X34)
| ~ aScalar0(X35) )
& ( sdtasdt0(sdtasdt0(X33,X34),X35) = sdtasdt0(X33,sdtasdt0(X34,X35))
| ~ aScalar0(X33)
| ~ aScalar0(X34)
| ~ aScalar0(X35) )
& ( sdtasdt0(X33,X34) = sdtasdt0(X34,X33)
| ~ aScalar0(X33)
| ~ aScalar0(X34)
| ~ aScalar0(X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).
cnf(c_0_32,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_33,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_34,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_35,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
fof(c_0_36,plain,
! [X25] :
( ~ aScalar0(X25)
| sdtlseqdt0(sz0z00,sdtasdt0(X25,X25)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).
fof(c_0_37,plain,
! [X50] :
( ( sdtpldt0(X50,sz0z00) = X50
| ~ aScalar0(X50) )
& ( sdtpldt0(sz0z00,X50) = X50
| ~ aScalar0(X50) )
& ( sdtasdt0(X50,sz0z00) = sz0z00
| ~ aScalar0(X50) )
& ( sdtasdt0(sz0z00,X50) = sz0z00
| ~ aScalar0(X50) )
& ( sdtpldt0(X50,smndt0(X50)) = sz0z00
| ~ aScalar0(X50) )
& ( sdtpldt0(smndt0(X50),X50) = sz0z00
| ~ aScalar0(X50) )
& ( smndt0(smndt0(X50)) = X50
| ~ aScalar0(X50) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).
fof(c_0_38,plain,
! [X71,X72] :
( ( sdtasdt0(X71,smndt0(X72)) = smndt0(sdtasdt0(X71,X72))
| ~ aScalar0(X71)
| ~ aScalar0(X72) )
& ( sdtasdt0(smndt0(X71),X72) = smndt0(sdtasdt0(X71,X72))
| ~ aScalar0(X71)
| ~ aScalar0(X72) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).
fof(c_0_39,plain,
! [X31,X32] :
( ~ aScalar0(X31)
| ~ aScalar0(X32)
| aScalar0(sdtasdt0(X31,X32)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).
fof(c_0_40,plain,
! [X70] :
( ~ aScalar0(X70)
| aScalar0(smndt0(X70)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).
cnf(c_0_41,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_43,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_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_44,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
fof(c_0_45,plain,
! [X17,X18,X19,X20] :
( ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19)
| ~ aScalar0(X20)
| ~ sdtlseqdt0(X17,X18)
| ~ sdtlseqdt0(sz0z00,X19)
| ~ sdtlseqdt0(X19,X20)
| sdtlseqdt0(sdtasdt0(X17,X19),sdtasdt0(X18,X20)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).
cnf(c_0_46,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(c_0_49,plain,
! [X10,X11,X12] :
( ~ aScalar0(X10)
| ~ aScalar0(X11)
| ~ aScalar0(X12)
| ~ sdtlseqdt0(X10,X11)
| ~ sdtlseqdt0(X11,X12)
| sdtlseqdt0(X10,X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])])]) ).
cnf(c_0_50,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
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]) ).
cnf(c_0_56,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_57,plain,
! [X28] :
( ~ aVector0(X28)
| sdtlseqdt0(sz0z00,sdtasasdt0(X28,X28)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).
cnf(c_0_58,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_59,hypothesis,
sdtasdt0(xH,xB) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_34])]) ).
cnf(c_0_60,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
fof(c_0_61,plain,
! [X13,X14,X15,X16] :
( ~ aScalar0(X13)
| ~ aScalar0(X14)
| ~ aScalar0(X15)
| ~ aScalar0(X16)
| ~ sdtlseqdt0(X13,X14)
| ~ sdtlseqdt0(X15,X16)
| sdtlseqdt0(sdtpldt0(X13,X15),sdtpldt0(X14,X16)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).
cnf(c_0_62,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_64,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_45]) ).
cnf(c_0_65,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_66,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_67,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_68,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_34])]) ).
cnf(c_0_69,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_70,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_51,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_71,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_52]) ).
fof(c_0_72,plain,
! [X23,X24] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X23,X24))
| ~ sdtlseqdt0(sz0z00,X23)
| ~ sdtlseqdt0(sz0z00,X24)
| ~ aScalar0(X23)
| ~ aScalar0(X24) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X23,X24))
| ~ sdtlseqdt0(sz0z00,X23)
| ~ sdtlseqdt0(sz0z00,X24)
| ~ aScalar0(X23)
| ~ aScalar0(X24) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).
cnf(c_0_73,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_74,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_75,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[m__1709]) ).
cnf(c_0_76,hypothesis,
sdtasdt0(xB,xH) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_34]),c_0_60])]) ).
cnf(c_0_77,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_61]) ).
cnf(c_0_78,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_79,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_51]),c_0_52]) ).
cnf(c_0_80,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_63]),c_0_35])]) ).
cnf(c_0_81,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_64,c_0_65]),c_0_66]),c_0_48])]) ).
cnf(c_0_82,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_67,c_0_68]),c_0_54]),c_0_48])]) ).
fof(c_0_83,plain,
! [X7] :
( ~ aScalar0(X7)
| sdtlseqdt0(X7,X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).
cnf(c_0_84,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_85,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_69,c_0_70]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_86,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_70]),c_0_54]),c_0_55])]) ).
cnf(c_0_87,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_88,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_89,hypothesis,
( sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_63]),c_0_35])]) ).
cnf(c_0_90,hypothesis,
sdtasdt0(xA,sdtasdt0(xA,xG)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_76]),c_0_60])]) ).
cnf(c_0_91,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_77,c_0_78]),c_0_48])]) ).
cnf(c_0_92,hypothesis,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_63]),c_0_35])]) ).
cnf(c_0_93,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_63]),c_0_35])]) ).
cnf(c_0_94,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_80]),c_0_35])]) ).
cnf(c_0_95,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_96,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_81,c_0_82]),c_0_54]),c_0_66]),c_0_48])]) ).
cnf(c_0_97,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_98,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_99,hypothesis,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_100,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_87,c_0_53]),c_0_68]),c_0_88]),c_0_54]),c_0_55])]) ).
cnf(c_0_101,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_102,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_103,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_104,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_105,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[m__1726]) ).
cnf(c_0_106,hypothesis,
sdtasdt0(xH,xH) = sdtasdt0(xF,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_54])]) ).
fof(c_0_107,plain,
! [X21,X22] :
( ~ aScalar0(X21)
| ~ aScalar0(X22)
| sdtlseqdt0(X21,X22)
| sdtlseqdt0(X22,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).
cnf(c_0_108,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_67,c_0_88]),c_0_55]),c_0_48])]) ).
cnf(c_0_109,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ 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_91,c_0_92]),c_0_93]),c_0_94]),c_0_95])]) ).
fof(c_0_110,plain,
! [X8,X9] :
( ~ aScalar0(X8)
| ~ aScalar0(X9)
| ~ sdtlseqdt0(X8,X9)
| ~ sdtlseqdt0(X9,X8)
| X8 = X9 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).
cnf(c_0_111,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xG))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_112,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_98,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_113,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_91,c_0_99]),c_0_100]),c_0_86]),c_0_101])]) ).
cnf(c_0_114,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_115,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_51,c_0_102]),c_0_103]),c_0_101])]) ).
cnf(c_0_116,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_117,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_104]),c_0_105])]) ).
cnf(c_0_118,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_119,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_120,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_121,plain,
( smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,X2),smndt0(X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_52]) ).
cnf(c_0_122,hypothesis,
sdtasdt0(xA,sdtasdt0(xA,xG)) = sdtasdt0(xF,xG),
inference(rw,[status(thm)],[c_0_90,c_0_106]) ).
cnf(c_0_123,hypothesis,
smndt0(sdtasdt0(xF,xG)) = sdtasdt0(xH,smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_106]),c_0_60])]) ).
cnf(c_0_124,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_125,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_108]),c_0_55])]) ).
cnf(c_0_126,hypothesis,
sdtlseqdt0(smndt0(xF),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_97]),c_0_94])]) ).
cnf(c_0_127,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_128,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_129,hypothesis,
sdtlseqdt0(smndt0(xR),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_97]),c_0_86])]) ).
cnf(c_0_130,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_84]),c_0_56]) ).
cnf(c_0_131,hypothesis,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_85]),c_0_86])]) ).
cnf(c_0_132,hypothesis,
aScalar0(sdtasdt0(xA,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_59]),c_0_34]),c_0_60])]) ).
cnf(c_0_133,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_69,c_0_115]),c_0_102]),c_0_103]),c_0_101])]) ).
cnf(c_0_134,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_115]),c_0_103]),c_0_101])]) ).
cnf(c_0_135,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_87,c_0_116]),c_0_117]),c_0_93]),c_0_118]),c_0_95])]) ).
cnf(c_0_136,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_51,c_0_119]),c_0_60]),c_0_120])]) ).
cnf(c_0_137,plain,
( smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_32]),c_0_52]) ).
cnf(c_0_138,hypothesis,
sdtasdt0(xH,smndt0(xH)) = sdtasdt0(xF,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_63]),c_0_54]),c_0_35])]),c_0_123]) ).
cnf(c_0_139,hypothesis,
( sdtlseqdt0(X1,xG)
| sdtlseqdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_54]) ).
cnf(c_0_140,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_94])]) ).
cnf(c_0_141,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_127,c_0_128]),c_0_129]),c_0_48]),c_0_86])]) ).
cnf(c_0_142,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_143,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_130,c_0_131]),c_0_85]),c_0_101]),c_0_86])]) ).
fof(c_0_144,plain,
! [X73,X74] :
( ~ aScalar0(X73)
| ~ aScalar0(X74)
| sdtasdt0(smndt0(X73),smndt0(X74)) = sdtasdt0(X73,X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).
cnf(c_0_145,hypothesis,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_90]),c_0_132]),c_0_35])]) ).
cnf(c_0_146,hypothesis,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_133]),c_0_134])]) ).
cnf(c_0_147,hypothesis,
sdtlseqdt0(sz0z00,xN),
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_87,c_0_102]),c_0_103]),c_0_101])]),c_0_135]),c_0_100])]) ).
cnf(c_0_148,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_98,c_0_102]),c_0_103]),c_0_101])]) ).
cnf(c_0_149,hypothesis,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_136]),c_0_120])]) ).
cnf(c_0_150,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_64,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_151,hypothesis,
sdtasdt0(smndt0(xF),xG) = sdtasdt0(xF,smndt0(xG)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_122]),c_0_63]),c_0_54]),c_0_35])]),c_0_123]),c_0_138]) ).
cnf(c_0_152,hypothesis,
sdtlseqdt0(xG,xG),
inference(spm,[status(thm)],[c_0_139,c_0_54]) ).
cnf(c_0_153,hypothesis,
sdtlseqdt0(smndt0(xF),xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_97]),c_0_94])]) ).
cnf(c_0_154,hypothesis,
smndt0(xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_56]),c_0_55])]) ).
cnf(c_0_155,hypothesis,
sdtpldt0(sz0z00,xR) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_101])]) ).
cnf(c_0_156,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_157,hypothesis,
smndt0(smndt0(xF)) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_80]),c_0_63]),c_0_35])]) ).
cnf(c_0_158,hypothesis,
aScalar0(sdtasdt0(xF,xG)),
inference(rw,[status(thm)],[c_0_145,c_0_106]) ).
cnf(c_0_159,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_160,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_91,c_0_146]),c_0_147]),c_0_134]),c_0_42])]) ).
cnf(c_0_161,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_64,c_0_148]),c_0_103])]),c_0_86])]) ).
cnf(c_0_162,hypothesis,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_133]),c_0_134])]) ).
cnf(c_0_163,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_51,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_164,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_69,c_0_136]),c_0_119]),c_0_60]),c_0_120])]) ).
cnf(c_0_165,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_56]),c_0_60])]) ).
cnf(c_0_166,hypothesis,
sdtlseqdt0(sdtasdt0(xF,smndt0(xG)),xR),
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_150,c_0_151]),c_0_68]),c_0_152]),c_0_153]),c_0_54]),c_0_94])]) ).
cnf(c_0_167,hypothesis,
xR = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_154]),c_0_143]),c_0_155]) ).
cnf(c_0_168,hypothesis,
( sdtasdt0(smndt0(xF),X1) = sdtasdt0(xF,smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_94])]) ).
cnf(c_0_169,hypothesis,
aScalar0(sdtasdt0(xH,smndt0(xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_123]),c_0_158])]) ).
cnf(c_0_170,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_159,c_0_42]) ).
cnf(c_0_171,hypothesis,
sdtlseqdt0(smndt0(xN),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_97]),c_0_134])]) ).
cnf(c_0_172,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ 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_161,c_0_65]),c_0_66]),c_0_135]),c_0_48])]) ).
cnf(c_0_173,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_130,c_0_162]),c_0_133]),c_0_42]),c_0_134])]) ).
cnf(c_0_174,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_163]),c_0_34]),c_0_35])]) ).
cnf(c_0_175,hypothesis,
( sdtasdt0(smndt0(X1),xP) = sdtasdt0(X1,smndt0(xP))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_164]),c_0_165])]) ).
cnf(c_0_176,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_69,c_0_163]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_177,hypothesis,
sdtlseqdt0(sdtasdt0(xF,smndt0(xG)),sz0z00),
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_178,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xF,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_168]),c_0_94]),c_0_54])]) ).
cnf(c_0_179,hypothesis,
aScalar0(sdtasdt0(xF,smndt0(xG))),
inference(rw,[status(thm)],[c_0_169,c_0_138]) ).
cnf(c_0_180,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_98,c_0_65]),c_0_170]),c_0_48])]) ).
fof(c_0_181,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_182,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_127,c_0_171]),c_0_134]),c_0_48])]) ).
cnf(c_0_183,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_97]),c_0_86])]) ).
cnf(c_0_184,hypothesis,
sdtpldt0(sz0z00,xN) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_173]),c_0_42])]) ).
cnf(c_0_185,hypothesis,
( sdtasdt0(xE,sdtasdt0(smndt0(xH),X1)) = sdtasdt0(smndt0(xP),X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_136]),c_0_120])]),c_0_174])]) ).
cnf(c_0_186,hypothesis,
sdtasdt0(smndt0(xH),smndt0(xP)) = sdtasdt0(xH,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_174])]) ).
cnf(c_0_187,hypothesis,
sdtasdt0(smndt0(xP),smndt0(xP)) = sdtasdt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_164]),c_0_165])]) ).
cnf(c_0_188,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_32,c_0_119]),c_0_60]),c_0_120])]) ).
cnf(c_0_189,hypothesis,
smndt0(sdtasdt0(xF,smndt0(xG))) = sdtasdt0(xF,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_138]),c_0_176]),c_0_106]),c_0_174]),c_0_60])]) ).
cnf(c_0_190,hypothesis,
sdtasdt0(xF,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_177]),c_0_178]),c_0_179]),c_0_48])]) ).
cnf(c_0_191,hypothesis,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_164]),c_0_165])]) ).
fof(c_0_192,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(fof_nnf,[status(thm)],[c_0_181]) ).
cnf(c_0_193,hypothesis,
smndt0(xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183])]) ).
cnf(c_0_194,hypothesis,
sdtpldt0(xN,sz0z00) = xN,
inference(rw,[status(thm)],[c_0_173,c_0_184]) ).
cnf(c_0_195,hypothesis,
sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_165])]) ).
cnf(c_0_196,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_197,hypothesis,
sdtasdt0(xE,sdtasdt0(xF,xG)) = sdtasdt0(xP,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_106]),c_0_60])]) ).
cnf(c_0_198,hypothesis,
sdtasdt0(xF,xG) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190]),c_0_170]) ).
cnf(c_0_199,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_188,c_0_65]),c_0_191]),c_0_48]),c_0_60])]) ).
cnf(c_0_200,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_201,hypothesis,
xN = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_193]),c_0_194]) ).
cnf(c_0_202,hypothesis,
sdtasdt0(xE,sdtasdt0(xP,xH)) = sdtasdt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_58]),c_0_196]),c_0_60])]) ).
cnf(c_0_203,hypothesis,
sdtasdt0(xP,xH) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_204,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),sz0z00),
inference(rw,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_205,hypothesis,
sdtasdt0(xP,xP) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_203]),c_0_199]) ).
cnf(c_0_206,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG054+1 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 12:22:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 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/benchmark/theBenchmark.p
% 57.53/7.76 # Version: 3.1.0
% 57.53/7.76 # Preprocessing class: FSLSSMSMSSSNFFN.
% 57.53/7.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.53/7.76 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 57.53/7.76 # Starting new_bool_3 with 300s (1) cores
% 57.53/7.76 # Starting new_bool_1 with 300s (1) cores
% 57.53/7.76 # Starting sh5l with 300s (1) cores
% 57.53/7.76 # sh5l with pid 9425 completed with status 0
% 57.53/7.76 # Result found by sh5l
% 57.53/7.76 # Preprocessing class: FSLSSMSMSSSNFFN.
% 57.53/7.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.53/7.76 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 57.53/7.76 # Starting new_bool_3 with 300s (1) cores
% 57.53/7.76 # Starting new_bool_1 with 300s (1) cores
% 57.53/7.76 # Starting sh5l with 300s (1) cores
% 57.53/7.76 # SinE strategy is gf500_gu_R04_F100_L20000
% 57.53/7.76 # Search class: FGHSF-FFMM21-MFFFFFNN
% 57.53/7.76 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 57.53/7.76 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 57.53/7.76 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9433 completed with status 0
% 57.53/7.76 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 57.53/7.76 # Preprocessing class: FSLSSMSMSSSNFFN.
% 57.53/7.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.53/7.76 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 57.53/7.76 # Starting new_bool_3 with 300s (1) cores
% 57.53/7.76 # Starting new_bool_1 with 300s (1) cores
% 57.53/7.76 # Starting sh5l with 300s (1) cores
% 57.53/7.76 # SinE strategy is gf500_gu_R04_F100_L20000
% 57.53/7.76 # Search class: FGHSF-FFMM21-MFFFFFNN
% 57.53/7.76 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 57.53/7.76 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 57.53/7.76 # Preprocessing time : 0.002 s
% 57.53/7.76 # Presaturation interreduction done
% 57.53/7.76
% 57.53/7.76 # Proof found!
% 57.53/7.76 # SZS status Theorem
% 57.53/7.76 # SZS output start CNFRefutation
% See solution above
% 57.53/7.76 # Parsed axioms : 57
% 57.53/7.76 # Removed by relevancy pruning/SinE : 0
% 57.53/7.76 # Initial clauses : 91
% 57.53/7.76 # Removed in clause preprocessing : 5
% 57.53/7.76 # Initial clauses in saturation : 86
% 57.53/7.76 # Processed clauses : 14720
% 57.53/7.76 # ...of these trivial : 845
% 57.53/7.76 # ...subsumed : 8606
% 57.53/7.76 # ...remaining for further processing : 5269
% 57.53/7.76 # Other redundant clauses eliminated : 3
% 57.53/7.76 # Clauses deleted for lack of memory : 0
% 57.53/7.76 # Backward-subsumed : 471
% 57.53/7.76 # Backward-rewritten : 2365
% 57.53/7.76 # Generated clauses : 265901
% 57.53/7.76 # ...of the previous two non-redundant : 243620
% 57.53/7.76 # ...aggressively subsumed : 0
% 57.53/7.76 # Contextual simplify-reflections : 211
% 57.53/7.76 # Paramodulations : 265877
% 57.53/7.77 # Factorizations : 0
% 57.53/7.77 # NegExts : 0
% 57.53/7.77 # Equation resolutions : 24
% 57.53/7.77 # Disequality decompositions : 0
% 57.53/7.77 # Total rewrite steps : 497535
% 57.53/7.77 # ...of those cached : 496660
% 57.53/7.77 # Propositional unsat checks : 1
% 57.53/7.77 # Propositional check models : 0
% 57.53/7.77 # Propositional check unsatisfiable : 0
% 57.53/7.77 # Propositional clauses : 0
% 57.53/7.77 # Propositional clauses after purity: 0
% 57.53/7.77 # Propositional unsat core size : 0
% 57.53/7.77 # Propositional preprocessing time : 0.000
% 57.53/7.77 # Propositional encoding time : 0.610
% 57.53/7.77 # Propositional solver time : 0.520
% 57.53/7.77 # Success case prop preproc time : 0.000
% 57.53/7.77 # Success case prop encoding time : 0.000
% 57.53/7.77 # Success case prop solver time : 0.000
% 57.53/7.77 # Current number of processed clauses : 2344
% 57.53/7.77 # Positive orientable unit clauses : 642
% 57.53/7.77 # Positive unorientable unit clauses: 0
% 57.53/7.77 # Negative unit clauses : 1
% 57.53/7.77 # Non-unit-clauses : 1701
% 57.53/7.77 # Current number of unprocessed clauses: 226874
% 57.53/7.77 # ...number of literals in the above : 873511
% 57.53/7.77 # Current number of archived formulas : 0
% 57.53/7.77 # Current number of archived clauses : 2922
% 57.53/7.77 # Clause-clause subsumption calls (NU) : 997569
% 57.53/7.77 # Rec. Clause-clause subsumption calls : 595282
% 57.53/7.77 # Non-unit clause-clause subsumptions : 9227
% 57.53/7.77 # Unit Clause-clause subsumption calls : 22556
% 57.53/7.77 # Rewrite failures with RHS unbound : 0
% 57.53/7.77 # BW rewrite match attempts : 1066
% 57.53/7.77 # BW rewrite match successes : 131
% 57.53/7.77 # Condensation attempts : 0
% 57.53/7.77 # Condensation successes : 0
% 57.53/7.77 # Termbank termtop insertions : 8630933
% 57.53/7.77 # Search garbage collected termcells : 906
% 57.53/7.77
% 57.53/7.77 # -------------------------------------------------
% 57.53/7.77 # User time : 6.817 s
% 57.53/7.77 # System time : 0.294 s
% 57.53/7.77 # Total time : 7.111 s
% 57.53/7.77 # Maximum resident set size: 2036 pages
% 57.53/7.77
% 57.53/7.77 # -------------------------------------------------
% 57.53/7.77 # User time : 6.818 s
% 57.53/7.77 # System time : 0.297 s
% 57.53/7.77 # Total time : 7.116 s
% 57.53/7.77 # Maximum resident set size: 1760 pages
% 57.53/7.77 % E---3.1 exiting
%------------------------------------------------------------------------------