%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG078+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 5 05:05:15 PM UTC 2026
% Result : Theorem 58.19s 34.99s
% Output : CNFRefutation 58.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 41
% Syntax : Number of formulae : 322 ( 166 unt; 0 def)
% Number of atoms : 740 ( 228 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 728 ( 310 ~; 306 |; 82 &)
% ( 0 <=>; 30 =>; 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 : 26 ( 26 usr; 18 con; 0-2 aty)
% Number of variables : 231 ( 3 sgn 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
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(m__1709,hypothesis,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
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(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(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(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(mDistr,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(mSqrt,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(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(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(m__1983,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).
fof(mDefSPN,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(m__,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1678,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(m__1692,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(m__2835,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2835) ).
fof(m__2796,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2796) ).
fof(c_0_41,plain,
! [X122] :
( ~ aScalar0(X122)
| sdtlseqdt0(sz0z00,sdtasdt0(X122,X122)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
fof(c_0_42,plain,
! [X89] :
( ( sdtpldt0(X89,sz0z00) = X89
| ~ aScalar0(X89) )
& ( sdtpldt0(sz0z00,X89) = X89
| ~ aScalar0(X89) )
& ( sdtasdt0(X89,sz0z00) = sz0z00
| ~ aScalar0(X89) )
& ( sdtasdt0(sz0z00,X89) = sz0z00
| ~ aScalar0(X89) )
& ( sdtpldt0(X89,smndt0(X89)) = sz0z00
| ~ aScalar0(X89) )
& ( sdtpldt0(smndt0(X89),X89) = sz0z00
| ~ aScalar0(X89) )
& ( smndt0(smndt0(X89)) = X89
| ~ aScalar0(X89) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X89) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
fof(c_0_43,plain,
! [X100,X101] :
( ( sdtasdt0(X100,smndt0(X101)) = smndt0(sdtasdt0(X100,X101))
| ~ aScalar0(X100)
| ~ aScalar0(X101) )
& ( sdtasdt0(smndt0(X100),X101) = smndt0(sdtasdt0(X100,X101))
| ~ aScalar0(X100)
| ~ aScalar0(X101) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
fof(c_0_44,plain,
! [X86,X87] :
( ~ aScalar0(X86)
| ~ aScalar0(X87)
| aScalar0(sdtasdt0(X86,X87)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
fof(c_0_45,plain,
! [X88] :
( ~ aScalar0(X88)
| aScalar0(smndt0(X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
fof(c_0_46,plain,
! [X114,X115,X116,X117] :
( ~ aScalar0(X114)
| ~ aScalar0(X115)
| ~ aScalar0(X116)
| ~ aScalar0(X117)
| ~ sdtlseqdt0(X114,X115)
| ~ sdtlseqdt0(sz0z00,X116)
| ~ sdtlseqdt0(X116,X117)
| sdtlseqdt0(sdtasdt0(X114,X116),sdtasdt0(X115,X117)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).
cnf(c_0_47,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(c_0_50,plain,
! [X107,X108,X109] :
( ~ aScalar0(X107)
| ~ aScalar0(X108)
| ~ aScalar0(X109)
| ~ sdtlseqdt0(X107,X108)
| ~ sdtlseqdt0(X108,X109)
| sdtlseqdt0(X107,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).
cnf(c_0_51,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_52,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_53,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_57,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_58,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_59,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_60,plain,
! [X141] :
( ~ aVector0(X141)
| sdtlseqdt0(sz0z00,sdtasasdt0(X141,X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
fof(c_0_61,hypothesis,
! [X144] :
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X144)
| sdtlbdtrb0(xp,X144) = sdtlbdtrb0(xs,X144) )
& xp = sziznziztdt0(xs) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])]) ).
cnf(c_0_62,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_46]) ).
cnf(c_0_63,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_65,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_66,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_51]),c_0_52])]) ).
fof(c_0_67,plain,
! [X110,X111,X112,X113] :
( ~ aScalar0(X110)
| ~ aScalar0(X111)
| ~ aScalar0(X112)
| ~ aScalar0(X113)
| ~ sdtlseqdt0(X110,X111)
| ~ sdtlseqdt0(X112,X113)
| sdtlseqdt0(sdtpldt0(X110,X112),sdtpldt0(X111,X113)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).
cnf(c_0_68,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_69,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_54,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_70,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_55]) ).
fof(c_0_71,plain,
! [X120,X121] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X120,X121))
| ~ sdtlseqdt0(sz0z00,X120)
| ~ sdtlseqdt0(sz0z00,X121)
| ~ aScalar0(X120)
| ~ aScalar0(X121) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X120,X121))
| ~ sdtlseqdt0(sz0z00,X120)
| ~ sdtlseqdt0(sz0z00,X121)
| ~ aScalar0(X120)
| ~ aScalar0(X121) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).
cnf(c_0_72,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_74,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_75,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_62,c_0_63]),c_0_64]),c_0_49])]) ).
cnf(c_0_76,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_65,c_0_66]),c_0_57]),c_0_49])]) ).
fof(c_0_77,plain,
! [X104] :
( ~ aScalar0(X104)
| sdtlseqdt0(X104,X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
cnf(c_0_78,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_67]) ).
cnf(c_0_79,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_80,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_81,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_68,c_0_69]),c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_82,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_57]),c_0_58])]) ).
cnf(c_0_83,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_84,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
fof(c_0_85,plain,
! [X90,X91,X92] :
( ( sdtpldt0(sdtpldt0(X90,X91),X92) = sdtpldt0(X90,sdtpldt0(X91,X92))
| ~ aScalar0(X90)
| ~ aScalar0(X91)
| ~ aScalar0(X92) )
& ( sdtpldt0(X90,X91) = sdtpldt0(X91,X90)
| ~ aScalar0(X90)
| ~ aScalar0(X91)
| ~ aScalar0(X92) )
& ( sdtasdt0(sdtasdt0(X90,X91),X92) = sdtasdt0(X90,sdtasdt0(X91,X92))
| ~ aScalar0(X90)
| ~ aScalar0(X91)
| ~ aScalar0(X92) )
& ( sdtasdt0(X90,X91) = sdtasdt0(X91,X90)
| ~ aScalar0(X90)
| ~ aScalar0(X91)
| ~ aScalar0(X92) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).
cnf(c_0_86,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_52])]) ).
cnf(c_0_87,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_75,c_0_76]),c_0_57]),c_0_64]),c_0_49])]) ).
cnf(c_0_88,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_90,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_78,c_0_79]),c_0_49])]) ).
cnf(c_0_91,hypothesis,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_92,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_83,c_0_56]),c_0_66]),c_0_84]),c_0_57]),c_0_58])]) ).
cnf(c_0_93,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_94,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_95,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_96,hypothesis,
smndt0(smndt0(xG)) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_86]),c_0_51]),c_0_52])]) ).
cnf(c_0_97,hypothesis,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_86]),c_0_52])]) ).
fof(c_0_98,plain,
! [X105,X106] :
( ~ aScalar0(X105)
| ~ aScalar0(X106)
| ~ sdtlseqdt0(X105,X106)
| ~ sdtlseqdt0(X106,X105)
| X105 = X106 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])]) ).
cnf(c_0_99,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xG))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_100,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_89,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_101,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_90,c_0_91]),c_0_92]),c_0_82]),c_0_93])]) ).
cnf(c_0_102,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_80]),c_0_59]) ).
cnf(c_0_103,hypothesis,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_81]),c_0_82])]) ).
fof(c_0_104,plain,
! [X102,X103] :
( ~ aScalar0(X102)
| ~ aScalar0(X103)
| sdtasdt0(smndt0(X102),smndt0(X103)) = sdtasdt0(X102,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])]) ).
fof(c_0_105,plain,
! [X84,X85] :
( ~ aScalar0(X84)
| ~ aScalar0(X85)
| aScalar0(sdtpldt0(X84,X85)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).
fof(c_0_106,plain,
! [X93,X94,X95] :
( ( sdtasdt0(X93,sdtpldt0(X94,X95)) = sdtpldt0(sdtasdt0(X93,X94),sdtasdt0(X93,X95))
| ~ aScalar0(X93)
| ~ aScalar0(X94)
| ~ aScalar0(X95) )
& ( sdtasdt0(sdtpldt0(X93,X94),X95) = sdtpldt0(sdtasdt0(X93,X95),sdtasdt0(X94,X95))
| ~ aScalar0(X93)
| ~ aScalar0(X94)
| ~ aScalar0(X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])]) ).
cnf(c_0_107,hypothesis,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_96]),c_0_97])]) ).
cnf(c_0_108,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_109,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_110,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
fof(c_0_111,hypothesis,
! [X145] :
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ( ~ aNaturalNumber0(X145)
| sdtlbdtrb0(xq,X145) = sdtlbdtrb0(xt,X145) )
& xq = sziznziztdt0(xt) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])]) ).
cnf(c_0_112,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_113,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_114,hypothesis,
sdtlseqdt0(smndt0(xR),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_88]),c_0_82])]) ).
cnf(c_0_115,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_116,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_102,c_0_103]),c_0_81]),c_0_93]),c_0_82])]) ).
cnf(c_0_117,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_118,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_119,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_120,hypothesis,
sdtpldt0(smndt0(xG),sz0z00) = sdtpldt0(sz0z00,smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_107]),c_0_97]),c_0_57])]) ).
cnf(c_0_121,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_54,c_0_108]),c_0_109]),c_0_110])]) ).
cnf(c_0_122,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_123,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_124,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_125,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_126,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_112,c_0_113]),c_0_114]),c_0_49]),c_0_82])]) ).
cnf(c_0_127,hypothesis,
sdtpldt0(sz0z00,xR) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_93])]) ).
cnf(c_0_128,hypothesis,
( sdtasdt0(smndt0(X1),xG) = sdtasdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_96]),c_0_97])]) ).
fof(c_0_129,plain,
! [X118,X119] :
( ~ aScalar0(X118)
| ~ aScalar0(X119)
| sdtlseqdt0(X118,X119)
| sdtlseqdt0(X119,X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).
cnf(c_0_130,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_65,c_0_84]),c_0_58]),c_0_49])]) ).
cnf(c_0_131,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
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_107]),c_0_66]),c_0_97]),c_0_57])]) ).
cnf(c_0_132,plain,
( aScalar0(sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_55]),c_0_55]) ).
cnf(c_0_133,hypothesis,
sdtpldt0(sz0z00,smndt0(xG)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_120]),c_0_97])]) ).
cnf(c_0_134,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_68,c_0_121]),c_0_108]),c_0_109]),c_0_110])]) ).
cnf(c_0_135,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_121]),c_0_109]),c_0_110])]) ).
cnf(c_0_136,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_122]),c_0_123])]) ).
cnf(c_0_137,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_124]),c_0_125])]) ).
cnf(c_0_138,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_124]),c_0_125])]) ).
cnf(c_0_139,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_140,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_141,hypothesis,
smndt0(xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_59]),c_0_58])]) ).
cnf(c_0_142,hypothesis,
sdtpldt0(xR,sz0z00) = xR,
inference(rw,[status(thm)],[c_0_116,c_0_127]) ).
cnf(c_0_143,hypothesis,
sdtasdt0(smndt0(xG),smndt0(xG)) = sdtasdt0(xG,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_96]),c_0_97])]) ).
cnf(c_0_144,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_145,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_65,c_0_130]),c_0_58])]) ).
cnf(c_0_146,hypothesis,
sdtlseqdt0(smndt0(xG),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_88]),c_0_97])]) ).
cnf(c_0_147,hypothesis,
( aScalar0(sdtasdt0(smndt0(xG),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_97]),c_0_49])]) ).
cnf(c_0_148,plain,
( sdtasdt0(smndt0(X1),smndt0(smndt0(X2))) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_117]),c_0_59]),c_0_59]) ).
cnf(c_0_149,hypothesis,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_134]),c_0_135])]) ).
cnf(c_0_150,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_83,c_0_108]),c_0_136]),c_0_137]),c_0_109]),c_0_110])]) ).
cnf(c_0_151,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_152,hypothesis,
sdtasdt0(smndt0(xF),xD) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_108]),c_0_109]),c_0_110])]) ).
cnf(c_0_153,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_138]),c_0_125])]) ).
cnf(c_0_154,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_139,c_0_140]),c_0_52]),c_0_125])]) ).
fof(c_0_155,plain,
! [X123,X124] :
( ~ aScalar0(X123)
| ~ aScalar0(X124)
| ~ sdtlseqdt0(sz0z00,X123)
| ~ sdtlseqdt0(sz0z00,X124)
| sdtasdt0(X123,X123) != sdtasdt0(X124,X124)
| X123 = X124 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])]) ).
cnf(c_0_156,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_62,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_157,hypothesis,
xR = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_141]),c_0_142]) ).
cnf(c_0_158,hypothesis,
smndt0(sdtasdt0(xG,xG)) = sdtasdt0(smndt0(xG),xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_143]),c_0_96]),c_0_97])]) ).
cnf(c_0_159,hypothesis,
( sdtlseqdt0(X1,xG)
| sdtlseqdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_57]) ).
cnf(c_0_160,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_97])]) ).
cnf(c_0_161,hypothesis,
( aScalar0(smndt0(sdtasdt0(xG,X1)))
| ~ aScalar0(smndt0(smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_57])]) ).
cnf(c_0_162,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_149]),c_0_150]),c_0_135]),c_0_151])]) ).
cnf(c_0_163,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xS))
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xD)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_152]),c_0_109])]),c_0_153])]) ).
cnf(c_0_164,hypothesis,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_134]),c_0_135])]) ).
cnf(c_0_165,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_166,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_167,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_168,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_169,hypothesis,
sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_51]),c_0_52])]) ).
cnf(c_0_170,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_171,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_139]),c_0_55]) ).
cnf(c_0_172,hypothesis,
( sdtasdt0(xB,sdtasdt0(xB,X1)) = sdtasdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_51]),c_0_52])]) ).
cnf(c_0_173,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_89]) ).
cnf(c_0_174,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(X1,xC)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_175,hypothesis,
sdtasdt0(smndt0(xG),xG) = sdtasdt0(xG,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_143]),c_0_96]),c_0_97])]),c_0_158]) ).
cnf(c_0_176,hypothesis,
sdtlseqdt0(xG,xG),
inference(spm,[status(thm)],[c_0_159,c_0_57]) ).
cnf(c_0_177,hypothesis,
sdtlseqdt0(smndt0(xG),xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_88]),c_0_97])]) ).
cnf(c_0_178,hypothesis,
( sdtasdt0(smndt0(xG),X1) = sdtasdt0(xG,smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_96]),c_0_97])]) ).
cnf(c_0_179,hypothesis,
aScalar0(smndt0(sdtasdt0(xG,xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_96]),c_0_57])]) ).
cnf(c_0_180,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_181,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_182,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_54,c_0_140]),c_0_52]),c_0_125])]) ).
cnf(c_0_183,hypothesis,
sdtlseqdt0(smndt0(xS),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_88]),c_0_135])]) ).
cnf(c_0_184,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_63]),c_0_64]),c_0_136]),c_0_49])]) ).
cnf(c_0_185,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_102,c_0_164]),c_0_134]),c_0_151]),c_0_135])]) ).
cnf(c_0_186,hypothesis,
( sdtpldt0(sdtasdt0(xE,X1),xP) = sdtasdt0(xE,sdtpldt0(X1,xH))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_168])]) ).
cnf(c_0_187,hypothesis,
smndt0(sdtasdt0(xH,xB)) = sdtasdt0(xA,smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_169]),c_0_57]),c_0_125])]) ).
cnf(c_0_188,hypothesis,
( X1 = xG
| sdtasdt0(X1,X1) != sdtasdt0(xG,xG)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_66]),c_0_57])]) ).
cnf(c_0_189,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xG,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_171,c_0_172]),c_0_51]),c_0_52]),c_0_51]),c_0_57])]) ).
cnf(c_0_190,hypothesis,
( aScalar0(sdtasdt0(xG,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_173]),c_0_57])]) ).
cnf(c_0_191,hypothesis,
sdtlseqdt0(sdtasdt0(xG,smndt0(xG)),sz0z00),
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_174,c_0_175]),c_0_66]),c_0_176]),c_0_177]),c_0_57]),c_0_97])]) ).
cnf(c_0_192,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xG,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_178]),c_0_97]),c_0_57])]) ).
cnf(c_0_193,hypothesis,
aScalar0(sdtasdt0(xG,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_54]),c_0_57])]) ).
cnf(c_0_194,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_195,hypothesis,
( aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_182]),c_0_125])]) ).
cnf(c_0_196,hypothesis,
( smndt0(xS) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_183]),c_0_135]),c_0_49])]) ).
cnf(c_0_197,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_88]),c_0_153])]) ).
cnf(c_0_198,hypothesis,
sdtpldt0(sz0z00,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_185]),c_0_151])]) ).
cnf(c_0_199,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[m__1983]) ).
cnf(c_0_200,plain,
( aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_165]),c_0_55]),c_0_55]) ).
cnf(c_0_201,hypothesis,
sdtasdt0(xE,sdtpldt0(xH,xH)) = sdtpldt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_166]),c_0_167])]) ).
cnf(c_0_202,hypothesis,
sdtasdt0(xA,smndt0(xG)) = sdtasdt0(xH,smndt0(xB)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_187]),c_0_52]),c_0_167])]) ).
cnf(c_0_203,hypothesis,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)) != sdtasdt0(xG,xG)
| ~ aScalar0(sdtasdt0(xG,xG)) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_204,hypothesis,
aScalar0(sdtasdt0(xG,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_96]),c_0_97])]) ).
cnf(c_0_205,hypothesis,
sdtasdt0(xG,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_112,c_0_191]),c_0_192]),c_0_193]),c_0_49])]) ).
cnf(c_0_206,plain,
( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_194]),c_0_49])]) ).
cnf(c_0_207,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_89,c_0_63]),c_0_194]),c_0_49])]) ).
cnf(c_0_208,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_68,c_0_182]),c_0_140]),c_0_52]),c_0_125])]) ).
cnf(c_0_209,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_59]),c_0_52])]) ).
cnf(c_0_210,hypothesis,
smndt0(xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]) ).
cnf(c_0_211,hypothesis,
sdtpldt0(xS,sz0z00) = xS,
inference(rw,[status(thm)],[c_0_185,c_0_198]) ).
cnf(c_0_212,hypothesis,
( sdtlseqdt0(X1,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X1,sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_199]) ).
cnf(c_0_213,hypothesis,
aScalar0(sdtpldt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_167]),c_0_168])]) ).
cnf(c_0_214,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_215,hypothesis,
smndt0(sdtasdt0(xH,xB)) = sdtasdt0(xH,smndt0(xB)),
inference(rw,[status(thm)],[c_0_187,c_0_202]) ).
cnf(c_0_216,hypothesis,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)) != sdtasdt0(xG,xG) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).
cnf(c_0_217,hypothesis,
sdtasdt0(xG,xG) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_205]),c_0_194]),c_0_96]),c_0_97]),c_0_57])]) ).
cnf(c_0_218,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_194]),c_0_49])]) ).
cnf(c_0_219,hypothesis,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209])]) ).
cnf(c_0_220,hypothesis,
( sdtpldt0(xS,sdtasdt0(X1,xD)) = sdtasdt0(sdtpldt0(xF,X1),xD)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_108]),c_0_109]),c_0_110])]) ).
cnf(c_0_221,hypothesis,
xS = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_210]),c_0_211]) ).
cnf(c_0_222,hypothesis,
( sdtpldt0(xR,sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(xG,X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_223,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_54,c_0_166]),c_0_167]),c_0_168])]) ).
cnf(c_0_224,hypothesis,
( sdtlseqdt0(X1,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X1,sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).
cnf(c_0_225,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_181]) ).
cnf(c_0_226,hypothesis,
sdtasdt0(smndt0(xH),xB) = sdtasdt0(xH,smndt0(xB)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_215]),c_0_52]),c_0_167])]) ).
cnf(c_0_227,hypothesis,
xG = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_217]),c_0_217]),c_0_217]),c_0_218]),c_0_217])]) ).
cnf(c_0_228,hypothesis,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_63]),c_0_219]),c_0_49]),c_0_52])]) ).
cnf(c_0_229,hypothesis,
( sdtpldt0(sz0z00,sdtasdt0(X1,xD)) = sdtasdt0(sdtpldt0(xF,X1),xD)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_230,hypothesis,
( sdtpldt0(sz0z00,sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(xG,X1))
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_222,c_0_157]) ).
cnf(c_0_231,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_232,hypothesis,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_223]),c_0_168])]) ).
cnf(c_0_233,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_234,hypothesis,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X1,sdtpldt0(xP,xP))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_221]),c_0_142]),c_0_221]),c_0_142]),c_0_93])]) ).
cnf(c_0_235,hypothesis,
sdtasdt0(xB,smndt0(xH)) = sdtasdt0(xH,smndt0(xB)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_52]),c_0_209])]) ).
cnf(c_0_236,hypothesis,
sdtasdt0(xH,smndt0(xB)) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_227]),c_0_194]),c_0_228]) ).
cnf(c_0_237,hypothesis,
( sdtpldt0(sdtasdt0(X1,xD),xS) = sdtasdt0(sdtpldt0(X1,xF),xD)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_108]),c_0_109]),c_0_110])]) ).
cnf(c_0_238,hypothesis,
( sdtpldt0(sdtasdt0(xC,X1),xR) = sdtasdt0(xC,sdtpldt0(X1,xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_239,hypothesis,
sdtasdt0(sdtpldt0(xF,xC),xD) = sdtasdt0(xC,sdtpldt0(xG,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_58]),c_0_109])]) ).
cnf(c_0_240,hypothesis,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_181]) ).
cnf(c_0_241,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_68,c_0_223]),c_0_166]),c_0_167]),c_0_168])]) ).
cnf(c_0_242,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_209])]) ).
cnf(c_0_243,hypothesis,
( sdtlseqdt0(X1,xP)
| sdtlseqdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_233]) ).
cnf(c_0_244,hypothesis,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_90]),c_0_233])]) ).
cnf(c_0_245,hypothesis,
sdtasdt0(xB,smndt0(xH)) = sz0z00,
inference(rw,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_246,hypothesis,
( sdtpldt0(sdtasdt0(X1,xD),sz0z00) = sdtasdt0(sdtpldt0(X1,xF),xD)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_237,c_0_221]) ).
cnf(c_0_247,hypothesis,
( sdtpldt0(sdtasdt0(xC,X1),sz0z00) = sdtasdt0(xC,sdtpldt0(X1,xG))
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_238,c_0_157]) ).
cnf(c_0_248,hypothesis,
sdtasdt0(sdtpldt0(xC,xF),xD) = sdtasdt0(xC,sdtpldt0(xG,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_58]),c_0_110])]) ).
fof(c_0_249,plain,
! [X139,X140] :
( ~ aVector0(X139)
| ~ aVector0(X140)
| aDimensionOf0(X139) != aDimensionOf0(X140)
| aDimensionOf0(X140) = sz00
| sdtasasdt0(X139,X140) = sdtpldt0(sdtasasdt0(sziznziztdt0(X139),sziznziztdt0(X140)),sdtasdt0(sdtlbdtrb0(X139,aDimensionOf0(X139)),sdtlbdtrb0(X140,aDimensionOf0(X140)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPN])]) ).
fof(c_0_250,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_251,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),X3)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_49])]) ).
cnf(c_0_252,hypothesis,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_241]),c_0_242])]) ).
cnf(c_0_253,hypothesis,
( sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_243,c_0_49]) ).
cnf(c_0_254,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_244,c_0_157]) ).
cnf(c_0_255,hypothesis,
sdtasdt0(xB,xH) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_245]),c_0_194]),c_0_208]),c_0_209]),c_0_52])]) ).
cnf(c_0_256,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_139,c_0_166]),c_0_167]),c_0_168])]) ).
cnf(c_0_257,hypothesis,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_241]),c_0_242])]) ).
cnf(c_0_258,hypothesis,
sdtasdt0(xC,sdtpldt0(xG,xD)) = sdtasdt0(xC,sdtpldt0(xD,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]),c_0_58]),c_0_109])]) ).
cnf(c_0_259,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_249]) ).
cnf(c_0_260,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_261,hypothesis,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_262,hypothesis,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_263,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[m__1692]) ).
cnf(c_0_264,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_265,hypothesis,
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X1)
| ~ sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_242]),c_0_233])]) ).
cnf(c_0_266,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_253]),c_0_49]),c_0_233])]),c_0_254]) ).
cnf(c_0_267,hypothesis,
sdtlseqdt0(xP,xP),
inference(spm,[status(thm)],[c_0_243,c_0_233]) ).
cnf(c_0_268,hypothesis,
sdtasdt0(xH,xH) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_255]),c_0_228]),c_0_167])]) ).
cnf(c_0_269,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_256,c_0_63]),c_0_257]),c_0_49]),c_0_167])]) ).
cnf(c_0_270,hypothesis,
sdtasdt0(sdtpldt0(xC,xF),xD) = sdtasdt0(xC,sdtpldt0(xD,xG)),
inference(rw,[status(thm)],[c_0_248,c_0_258]) ).
cnf(c_0_271,hypothesis,
sdtasdt0(xC,sdtpldt0(xD,sz0z00)) = sdtasdt0(xC,sdtpldt0(sz0z00,xD)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_227]),c_0_227]) ).
fof(c_0_272,plain,
! [X135,X136] :
( ~ aVector0(X135)
| ~ aVector0(X136)
| aDimensionOf0(X135) != aDimensionOf0(X136)
| aScalar0(sdtasasdt0(X135,X136)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])]) ).
cnf(c_0_273,hypothesis,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xp),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xA)) = sdtasasdt0(X1,xs)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(X1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261]),c_0_262]),c_0_263]) ).
cnf(c_0_274,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(split_conjunct,[status(thm)],[m__2835]) ).
cnf(c_0_275,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_166]),c_0_56]),c_0_108]) ).
cnf(c_0_276,hypothesis,
sdtasdt0(xH,xE) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_225]),c_0_168]),c_0_167])]) ).
cnf(c_0_277,hypothesis,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_241]),c_0_242])]) ).
cnf(c_0_278,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_88]),c_0_242])]) ).
cnf(c_0_279,hypothesis,
sdtlseqdt0(xP,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_233])]) ).
cnf(c_0_280,hypothesis,
sdtasdt0(xP,xH) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_268]),c_0_269]),c_0_167])]) ).
cnf(c_0_281,hypothesis,
sdtasdt0(sdtpldt0(xC,xF),xD) = sdtasdt0(xC,sdtpldt0(xD,sz0z00)),
inference(rw,[status(thm)],[c_0_270,c_0_227]) ).
cnf(c_0_282,hypothesis,
sdtasdt0(xC,sdtpldt0(sz0z00,xD)) = sdtasdt0(xC,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_115]),c_0_109])]) ).
cnf(c_0_283,plain,
( aScalar0(sdtasasdt0(X1,X2))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_284,hypothesis,
sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
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_273,c_0_262]),c_0_261]),c_0_73]),c_0_124]),c_0_260])]) ).
cnf(c_0_285,hypothesis,
aScalar0(sdtasdt0(xC,sdtpldt0(xG,xD))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_239]),c_0_109]),c_0_58]),c_0_110])]) ).
cnf(c_0_286,hypothesis,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(rw,[status(thm)],[c_0_274,c_0_166]) ).
cnf(c_0_287,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_288,hypothesis,
sdtpldt0(xP,sz0z00) = sdtpldt0(sz0z00,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_277]),c_0_241]),c_0_233]),c_0_242])]) ).
cnf(c_0_289,plain,
( X1 = sz0z00
| sdtasdt0(X1,X1) != sz0z00
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_88]),c_0_49])]),c_0_218]) ).
cnf(c_0_290,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_279])]) ).
cnf(c_0_291,hypothesis,
sdtasdt0(xH,xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_280]),c_0_167]),c_0_233])]) ).
cnf(c_0_292,hypothesis,
sdtasdt0(sdtpldt0(xC,xF),xD) = sdtasdt0(xC,xD),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_271]),c_0_282]) ).
cnf(c_0_293,hypothesis,
aScalar0(sdtpldt0(xC,xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_260])]) ).
cnf(c_0_294,hypothesis,
aScalar0(sdtasdt0(xC,sdtpldt0(xD,xG))),
inference(rw,[status(thm)],[c_0_285,c_0_258]) ).
cnf(c_0_295,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(split_conjunct,[status(thm)],[m__2796]) ).
cnf(c_0_296,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
inference(rw,[status(thm)],[c_0_286,c_0_276]) ).
cnf(c_0_297,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(sz0z00,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[c_0_287,c_0_221]) ).
cnf(c_0_298,hypothesis,
smndt0(smndt0(xF)) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_138]),c_0_124]),c_0_125])]) ).
cnf(c_0_299,hypothesis,
sdtpldt0(sz0z00,xP) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_288]),c_0_233])]) ).
cnf(c_0_300,hypothesis,
( smndt0(xP) = sz0z00
| sdtasdt0(smndt0(xP),smndt0(xP)) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_242])]) ).
cnf(c_0_301,hypothesis,
sdtasdt0(xP,xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_291]),c_0_269]),c_0_233])]) ).
cnf(c_0_302,hypothesis,
sdtasdt0(sdtpldt0(sdtpldt0(xC,xF),xF),xD) = sdtpldt0(sdtasdt0(xC,xD),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_292]),c_0_293])]) ).
cnf(c_0_303,hypothesis,
sdtasdt0(sdtpldt0(xF,sdtpldt0(xC,xF)),xD) = sdtpldt0(sz0z00,sdtasdt0(xC,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_292]),c_0_293])]) ).
cnf(c_0_304,hypothesis,
aScalar0(sdtasdt0(xC,sdtpldt0(xD,sz0z00))),
inference(rw,[status(thm)],[c_0_294,c_0_227]) ).
cnf(c_0_305,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(rw,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_306,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sz0z00),sdtpldt0(sz0z00,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[c_0_297,c_0_157]) ).
cnf(c_0_307,hypothesis,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_298]),c_0_153])]) ).
cnf(c_0_308,hypothesis,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_194]),c_0_49])]) ).
cnf(c_0_309,hypothesis,
sdtpldt0(xP,sz0z00) = xP,
inference(rw,[status(thm)],[c_0_288,c_0_299]) ).
cnf(c_0_310,hypothesis,
smndt0(xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_173]),c_0_241]),c_0_301]),c_0_242]),c_0_233])]) ).
cnf(c_0_311,hypothesis,
sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xC,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_240]),c_0_303]),c_0_110]),c_0_293])]) ).
cnf(c_0_312,hypothesis,
aScalar0(sdtasdt0(xC,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_115]),c_0_109])]) ).
cnf(c_0_313,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtasdt0(xH,xH)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_221]),c_0_142]) ).
cnf(c_0_314,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),xP),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sz0z00),sz0z00)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_227]),c_0_307]),c_0_308]),c_0_268]),c_0_309]) ).
cnf(c_0_315,hypothesis,
xP = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_310]),c_0_309]) ).
cnf(c_0_316,hypothesis,
sdtpldt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(xC,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_311]),c_0_312])]) ).
cnf(c_0_317,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sz0z00,sdtasdt0(xH,xH)))),
inference(rw,[status(thm)],[c_0_313,c_0_157]) ).
cnf(c_0_318,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sz0z00),sz0z00),sdtasdt0(xC,xD)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_315]),c_0_315]),c_0_311]),c_0_316]),c_0_311]),c_0_316]) ).
cnf(c_0_319,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sz0z00),sdtasdt0(xC,xD)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_268]),c_0_309]),c_0_268]),c_0_308]),c_0_315]),c_0_315]),c_0_308]),c_0_311]),c_0_316]) ).
cnf(c_0_320,negated_conjecture,
~ aScalar0(sdtasdt0(xE,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_115]),c_0_319])]) ).
cnf(c_0_321,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_55]),c_0_168])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG078+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n031.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:51:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 58.19/34.99 % Version : CSE_E---1.7
% 58.19/34.99 % Problem : theBenchmark.p
% 58.19/34.99 % SZS status Theorem for theBenchmark.p
% 58.19/34.99 % SZS output start CNFRefutation
% See solution above
% 58.49/35.23 % Total time : 25.413s
%------------------------------------------------------------------------------