TSTP Solution File: RNG057+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG057+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 : Thu Aug 31 13:48:47 EDT 2023
% Result : Theorem 13.71s 13.88s
% Output : CNFRefutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 65
% Syntax : Number of formulae : 295 ( 111 unt; 33 typ; 0 def)
% Number of atoms : 662 ( 182 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 704 ( 304 ~; 303 |; 73 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 15 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 199 ( 2 sgn; 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aNaturalNumber0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
szszuzczcdt0: $i > $i ).
tff(decl_25,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_26,type,
aScalar0: $i > $o ).
tff(decl_27,type,
sz0z00: $i ).
tff(decl_28,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_29,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_30,type,
smndt0: $i > $i ).
tff(decl_31,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_32,type,
aVector0: $i > $o ).
tff(decl_33,type,
aDimensionOf0: $i > $i ).
tff(decl_34,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_35,type,
sziznziztdt0: $i > $i ).
tff(decl_36,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(decl_37,type,
xs: $i ).
tff(decl_38,type,
xt: $i ).
tff(decl_39,type,
xp: $i ).
tff(decl_40,type,
xq: $i ).
tff(decl_41,type,
xA: $i ).
tff(decl_42,type,
xB: $i ).
tff(decl_43,type,
xC: $i ).
tff(decl_44,type,
xD: $i ).
tff(decl_45,type,
xE: $i ).
tff(decl_46,type,
xF: $i ).
tff(decl_47,type,
xG: $i ).
tff(decl_48,type,
xH: $i ).
tff(decl_49,type,
xR: $i ).
tff(decl_50,type,
xP: $i ).
tff(decl_51,type,
xS: $i ).
tff(decl_52,type,
xN: $i ).
tff(decl_53,type,
esk1_1: $i > $i ).
tff(decl_54,type,
esk2_2: ( $i * $i ) > $i ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(m__1911,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(m__1709,hypothesis,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
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/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_32,plain,
! [X16] :
( ( sdtpldt0(X16,sz0z00) = X16
| ~ aScalar0(X16) )
& ( sdtpldt0(sz0z00,X16) = X16
| ~ aScalar0(X16) )
& ( sdtasdt0(X16,sz0z00) = sz0z00
| ~ aScalar0(X16) )
& ( sdtasdt0(sz0z00,X16) = sz0z00
| ~ aScalar0(X16) )
& ( sdtpldt0(X16,smndt0(X16)) = sz0z00
| ~ aScalar0(X16) )
& ( sdtpldt0(smndt0(X16),X16) = sz0z00
| ~ aScalar0(X16) )
& ( smndt0(smndt0(X16)) = X16
| ~ aScalar0(X16) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
fof(c_0_33,plain,
! [X27,X28] :
( ( sdtasdt0(X27,smndt0(X28)) = smndt0(sdtasdt0(X27,X28))
| ~ aScalar0(X27)
| ~ aScalar0(X28) )
& ( sdtasdt0(smndt0(X27),X28) = smndt0(sdtasdt0(X27,X28))
| ~ aScalar0(X27)
| ~ aScalar0(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
fof(c_0_34,plain,
! [X13,X14] :
( ~ aScalar0(X13)
| ~ aScalar0(X14)
| aScalar0(sdtasdt0(X13,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
fof(c_0_35,plain,
! [X15] :
( ~ aScalar0(X15)
| aScalar0(smndt0(X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
cnf(c_0_36,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_40,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_41,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_42,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_43,plain,
! [X29,X30] :
( ~ aScalar0(X29)
| ~ aScalar0(X30)
| sdtasdt0(smndt0(X29),smndt0(X30)) = sdtasdt0(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])]) ).
cnf(c_0_44,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_45,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_37,c_0_39]),c_0_40]),c_0_41])]) ).
cnf(c_0_46,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_37]),c_0_38]) ).
cnf(c_0_47,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_48,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_49,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_50,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,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_44,c_0_45]),c_0_39]),c_0_40]),c_0_41])]) ).
cnf(c_0_52,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_40]),c_0_41])]) ).
fof(c_0_53,plain,
! [X17,X18,X19] :
( ( sdtpldt0(sdtpldt0(X17,X18),X19) = sdtpldt0(X17,sdtpldt0(X18,X19))
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtpldt0(X17,X18) = sdtpldt0(X18,X17)
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtasdt0(sdtasdt0(X17,X18),X19) = sdtasdt0(X17,sdtasdt0(X18,X19))
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtasdt0(X17,X18) = sdtasdt0(X18,X17)
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).
cnf(c_0_54,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_37,c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_55,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_50,c_0_51]),c_0_52])]) ).
cnf(c_0_56,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_57,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_54]),c_0_48]),c_0_49])]) ).
cnf(c_0_58,hypothesis,
sdtasdt0(smndt0(xP),smndt0(xP)) = sdtasdt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_52])]) ).
cnf(c_0_59,plain,
( aScalar0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_56]),c_0_38]) ).
cnf(c_0_60,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_56,c_0_45]),c_0_41])]),c_0_57])]) ).
cnf(c_0_61,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_62,hypothesis,
smndt0(sdtasdt0(xP,xP)) = sdtasdt0(smndt0(xP),xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_58]),c_0_51]),c_0_52])]) ).
cnf(c_0_63,hypothesis,
( aScalar0(sdtasdt0(smndt0(xP),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_57]),c_0_41])]) ).
cnf(c_0_64,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_65,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_66,hypothesis,
( smndt0(sdtasdt0(X1,xP)) = sdtasdt0(X1,smndt0(xP))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_51]),c_0_52])]) ).
cnf(c_0_67,hypothesis,
( sdtasdt0(smndt0(xP),X1) = sdtasdt0(xP,smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_68,hypothesis,
( aScalar0(sdtasdt0(X1,xP))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_51]),c_0_52])]) ).
cnf(c_0_69,hypothesis,
sdtasdt0(smndt0(xP),xP) = sdtasdt0(xP,smndt0(xP)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_58]),c_0_51]),c_0_52])]),c_0_62]) ).
cnf(c_0_70,hypothesis,
( aScalar0(sdtasdt0(xP,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_71,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_72,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_73,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
fof(c_0_74,plain,
! [X68] :
( ~ aVector0(X68)
| sdtlseqdt0(sz0z00,sdtasasdt0(X68,X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
fof(c_0_75,hypothesis,
! [X72] :
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ( ~ aNaturalNumber0(X72)
| sdtlbdtrb0(xq,X72) = sdtlbdtrb0(xt,X72) )
& xq = sziznziztdt0(xt) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])]) ).
fof(c_0_76,plain,
! [X49] :
( ~ aScalar0(X49)
| sdtlseqdt0(sz0z00,sdtasdt0(X49,X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
fof(c_0_77,hypothesis,
! [X71] :
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X71)
| sdtlbdtrb0(xp,X71) = sdtlbdtrb0(xs,X71) )
& xp = sziznziztdt0(xs) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])]) ).
cnf(c_0_78,hypothesis,
smndt0(sdtasdt0(xP,smndt0(xP))) = sdtasdt0(xP,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_58]),c_0_52]),c_0_65])]) ).
cnf(c_0_79,hypothesis,
aScalar0(sdtasdt0(xP,smndt0(xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_67]),c_0_52]),c_0_65])]) ).
cnf(c_0_80,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_81,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_82,hypothesis,
smndt0(sdtasdt0(xP,xP)) = sdtasdt0(xP,smndt0(xP)),
inference(rw,[status(thm)],[c_0_62,c_0_69]) ).
cnf(c_0_83,hypothesis,
aScalar0(sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_51]),c_0_52])]) ).
cnf(c_0_84,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_37,c_0_71]),c_0_72]),c_0_73])]) ).
fof(c_0_85,plain,
! [X47,X48] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X47,X48))
| ~ sdtlseqdt0(sz0z00,X47)
| ~ sdtlseqdt0(sz0z00,X48)
| ~ aScalar0(X47)
| ~ aScalar0(X48) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X47,X48))
| ~ sdtlseqdt0(sz0z00,X47)
| ~ sdtlseqdt0(sz0z00,X48)
| ~ aScalar0(X47)
| ~ aScalar0(X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).
cnf(c_0_86,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_88,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_89,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_90,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_91,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_92,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_93,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_94,hypothesis,
sdtasdt0(sdtasdt0(xP,smndt0(xP)),smndt0(xP)) = sdtasdt0(sdtasdt0(xP,xP),xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_78]),c_0_79])]) ).
cnf(c_0_95,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_96,hypothesis,
sdtasdt0(sdtasdt0(xP,smndt0(xP)),xP) = sdtasdt0(sdtasdt0(xP,xP),smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_82]),c_0_83])]) ).
fof(c_0_97,plain,
! [X37,X38,X39,X40] :
( ~ aScalar0(X37)
| ~ aScalar0(X38)
| ~ aScalar0(X39)
| ~ aScalar0(X40)
| ~ sdtlseqdt0(X37,X38)
| ~ sdtlseqdt0(X39,X40)
| sdtlseqdt0(sdtpldt0(X37,X39),sdtpldt0(X38,X40)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).
cnf(c_0_98,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_99,hypothesis,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_84]),c_0_73])]) ).
cnf(c_0_100,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_101,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_102,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_103,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_49])]) ).
cnf(c_0_104,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_105,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_106,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_107,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_91]),c_0_48])]) ).
cnf(c_0_108,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_92]),c_0_93])]) ).
cnf(c_0_109,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_110,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_111,hypothesis,
sdtasdt0(sdtasdt0(xP,xP),xP) = sdtasdt0(xP,sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_94]),c_0_58]),c_0_52]),c_0_65])]) ).
cnf(c_0_112,hypothesis,
sdtasdt0(sdtasdt0(xP,xP),smndt0(xP)) = sdtasdt0(xP,sdtasdt0(xP,smndt0(xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_65]),c_0_79])]) ).
fof(c_0_113,plain,
! [X34,X35,X36] :
( ~ aScalar0(X34)
| ~ aScalar0(X35)
| ~ aScalar0(X36)
| ~ sdtlseqdt0(X34,X35)
| ~ sdtlseqdt0(X35,X36)
| sdtlseqdt0(X34,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).
cnf(c_0_114,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_97]) ).
cnf(c_0_115,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_116,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_117,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_37]),c_0_38]) ).
cnf(c_0_118,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_56]),c_0_38]) ).
cnf(c_0_119,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_56,c_0_39]),c_0_40]),c_0_41])]) ).
cnf(c_0_120,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_121,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_44,c_0_84]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_122,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_42]),c_0_72])]) ).
cnf(c_0_123,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_100,c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105])]) ).
cnf(c_0_124,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_100,c_0_106]),c_0_107]),c_0_108]),c_0_109]),c_0_110])]) ).
fof(c_0_125,plain,
! [X41,X42,X43,X44] :
( ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ aScalar0(X43)
| ~ aScalar0(X44)
| ~ sdtlseqdt0(X41,X42)
| ~ sdtlseqdt0(sz0z00,X43)
| ~ sdtlseqdt0(X43,X44)
| sdtlseqdt0(sdtasdt0(X41,X43),sdtasdt0(X42,X44)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).
cnf(c_0_126,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_37,c_0_106]),c_0_109]),c_0_110])]) ).
cnf(c_0_127,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_128,hypothesis,
smndt0(sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,smndt0(xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_111]),c_0_112]),c_0_65]),c_0_83])]) ).
cnf(c_0_129,hypothesis,
aScalar0(sdtasdt0(xP,sdtasdt0(xP,xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_78]),c_0_79])]) ).
cnf(c_0_130,hypothesis,
smndt0(sdtasdt0(xP,sdtasdt0(xP,smndt0(xP)))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
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_37,c_0_112]),c_0_51]),c_0_52]),c_0_83])]),c_0_111]) ).
cnf(c_0_131,hypothesis,
aScalar0(sdtasdt0(xP,sdtasdt0(xP,smndt0(xP)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_82]),c_0_83])]) ).
cnf(c_0_132,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_133,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_114,c_0_115]),c_0_116])]) ).
cnf(c_0_134,hypothesis,
sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,smndt0(xP))) = sz0z00,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_58]),c_0_51]),c_0_52])]),c_0_69]) ).
cnf(c_0_135,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_39]),c_0_40]),c_0_41]),c_0_39]),c_0_65])]) ).
fof(c_0_136,plain,
! [X31] :
( ~ aScalar0(X31)
| sdtlseqdt0(X31,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
cnf(c_0_137,hypothesis,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]) ).
cnf(c_0_138,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_100,c_0_71]),c_0_72]),c_0_73])]),c_0_123]),c_0_124])]) ).
cnf(c_0_139,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_125]) ).
cnf(c_0_140,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_61,c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_141,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_126]),c_0_109]),c_0_110])]) ).
cnf(c_0_142,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_143,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_144,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_127,c_0_81]) ).
cnf(c_0_145,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_37,c_0_101]),c_0_104]),c_0_105])]) ).
cnf(c_0_146,hypothesis,
sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,smndt0(xP))),xP) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_128]),c_0_129])]) ).
cnf(c_0_147,hypothesis,
sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,smndt0(xP))),smndt0(xP)) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_130]),c_0_131])]) ).
cnf(c_0_148,hypothesis,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_123]),c_0_72]),c_0_116])]) ).
cnf(c_0_149,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,sdtasdt0(xP,smndt0(xP)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_79]),c_0_83])]) ).
cnf(c_0_150,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
fof(c_0_151,plain,
! [X32,X33] :
( ~ aScalar0(X32)
| ~ aScalar0(X33)
| ~ sdtlseqdt0(X32,X33)
| ~ sdtlseqdt0(X33,X32)
| X32 = X33 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])]) ).
cnf(c_0_152,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_133,c_0_137]),c_0_138]),c_0_122]),c_0_81])]) ).
cnf(c_0_153,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_139,c_0_140]),c_0_72])]),c_0_141])]) ).
cnf(c_0_154,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_155,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_142]),c_0_116])]) ).
cnf(c_0_156,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_120]),c_0_42]) ).
cnf(c_0_157,hypothesis,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_121]),c_0_122])]) ).
cnf(c_0_158,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_37,c_0_142]),c_0_144]),c_0_116])]) ).
cnf(c_0_159,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_44,c_0_145]),c_0_101]),c_0_104]),c_0_105])]) ).
cnf(c_0_160,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_145]),c_0_104]),c_0_105])]) ).
cnf(c_0_161,hypothesis,
sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),smndt0(xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,smndt0(xP)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_146]),c_0_65]),c_0_131])]) ).
cnf(c_0_162,hypothesis,
sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_147]),c_0_94]),c_0_111]),c_0_52]),c_0_79]),c_0_65])]) ).
cnf(c_0_163,hypothesis,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_148]),c_0_72])]) ).
cnf(c_0_164,hypothesis,
sdtlseqdt0(sdtasdt0(xP,smndt0(xP)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_79])]) ).
fof(c_0_165,plain,
! [X45,X46] :
( ~ aScalar0(X45)
| ~ aScalar0(X46)
| sdtlseqdt0(X45,X46)
| sdtlseqdt0(X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).
cnf(c_0_166,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_167,hypothesis,
sdtlseqdt0(smndt0(xN),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_150]),c_0_122])]) ).
cnf(c_0_168,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_153,c_0_154]),c_0_155]),c_0_123]),c_0_116])]) ).
cnf(c_0_169,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_170,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_156,c_0_157]),c_0_121]),c_0_81]),c_0_122])]) ).
fof(c_0_171,plain,
! [X50,X51] :
( ~ aScalar0(X50)
| ~ aScalar0(X51)
| ~ sdtlseqdt0(sz0z00,X50)
| ~ sdtlseqdt0(sz0z00,X51)
| sdtasdt0(X50,X50) != sdtasdt0(X51,X51)
| X50 = X51 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])]) ).
cnf(c_0_172,hypothesis,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).
cnf(c_0_173,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_61,c_0_56]),c_0_38]) ).
cnf(c_0_174,hypothesis,
smndt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,smndt0(xP))))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
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_37,c_0_161]),c_0_51]),c_0_52]),c_0_129])]),c_0_162]) ).
cnf(c_0_175,hypothesis,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X1,sdtasdt0(xP,smndt0(xP)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_79])]) ).
cnf(c_0_176,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_61,c_0_154]),c_0_144]),c_0_116])]) ).
cnf(c_0_177,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_178,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_166,c_0_167]),c_0_122]),c_0_116])]) ).
cnf(c_0_179,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_150]),c_0_141])]) ).
cnf(c_0_180,hypothesis,
sdtpldt0(sz0z00,xN) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_81])]) ).
cnf(c_0_181,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_114,c_0_115]),c_0_116])]) ).
cnf(c_0_182,hypothesis,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_51]),c_0_52])]) ).
cnf(c_0_183,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_171]) ).
cnf(c_0_184,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_144]),c_0_116])]) ).
cnf(c_0_185,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xS)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_172]),c_0_72]),c_0_116])]) ).
cnf(c_0_186,hypothesis,
sdtasdt0(sdtasdt0(xP,smndt0(xP)),sdtasdt0(xP,smndt0(xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
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_173,c_0_174]),c_0_62]),c_0_69]),c_0_79]),c_0_65])]) ).
cnf(c_0_187,hypothesis,
sdtlseqdt0(sdtasdt0(xP,smndt0(xP)),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_150]),c_0_79])]) ).
cnf(c_0_188,hypothesis,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_51]),c_0_52])]) ).
cnf(c_0_189,hypothesis,
( sdtlseqdt0(X1,xP)
| sdtlseqdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_65]) ).
cnf(c_0_190,hypothesis,
smndt0(xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).
cnf(c_0_191,hypothesis,
sdtpldt0(xN,sz0z00) = xN,
inference(rw,[status(thm)],[c_0_170,c_0_180]) ).
fof(c_0_192,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_193,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_181,c_0_182]),c_0_52]),c_0_65])]) ).
cnf(c_0_194,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_183,c_0_150]),c_0_116])]),c_0_184]) ).
cnf(c_0_195,hypothesis,
( sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sz0z00)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP))) ),
inference(cn,[status(thm)],[inference(rw,[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_164]),c_0_79])]) ).
cnf(c_0_196,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(xP,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_188]),c_0_155]),c_0_116]),c_0_65])]) ).
cnf(c_0_197,hypothesis,
sdtlseqdt0(xP,xP),
inference(spm,[status(thm)],[c_0_189,c_0_65]) ).
cnf(c_0_198,hypothesis,
sdtasdt0(sdtasdt0(xP,smndt0(xP)),smndt0(xP)) = sdtasdt0(xP,sdtasdt0(xP,xP)),
inference(rw,[status(thm)],[c_0_94,c_0_111]) ).
cnf(c_0_199,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),xN)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xS)
| ~ sdtlseqdt0(X1,xR)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_200,hypothesis,
xN = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_190]),c_0_191]) ).
cnf(c_0_201,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_202,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_150]),c_0_52])]) ).
cnf(c_0_203,hypothesis,
( sdtasdt0(xP,xP) = sz0z00
| sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)) != sz0z00
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(spm,[status(thm)],[c_0_194,c_0_135]) ).
cnf(c_0_204,hypothesis,
( sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_52]),c_0_65])]) ).
cnf(c_0_205,hypothesis,
sdtasdt0(smndt0(xP),sdtasdt0(xP,smndt0(xP))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_198]),c_0_52]),c_0_79])]) ).
cnf(c_0_206,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xS)
| ~ sdtlseqdt0(X1,xR)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_207,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),sz0z00),
inference(rw,[status(thm)],[c_0_201,c_0_200]) ).
cnf(c_0_208,hypothesis,
( smndt0(xP) = sz0z00
| sdtasdt0(smndt0(xP),smndt0(xP)) != sz0z00
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_202]),c_0_52])]) ).
cnf(c_0_209,hypothesis,
( sdtasdt0(xP,xP) = sz0z00
| sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))) != sz0z00
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_56]),c_0_65])]) ).
cnf(c_0_210,hypothesis,
( sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sz0z00)
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(spm,[status(thm)],[c_0_204,c_0_202]) ).
cnf(c_0_211,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_205]),c_0_52]),c_0_65])]) ).
cnf(c_0_212,hypothesis,
aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_130]),c_0_131])]) ).
cnf(c_0_213,hypothesis,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),xS)
| ~ sdtlseqdt0(smndt0(xP),xR) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_58]),c_0_52])]),c_0_207]) ).
cnf(c_0_214,hypothesis,
( smndt0(xP) = sz0z00
| sdtasdt0(xP,xP) != sz0z00
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_64]),c_0_51]),c_0_52]),c_0_65])]) ).
cnf(c_0_215,plain,
( sdtasdt0(sdtasdt0(X1,smndt0(X2)),smndt0(X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37]),c_0_38]) ).
cnf(c_0_216,hypothesis,
( sdtasdt0(xP,xP) = sz0z00
| sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_83])]) ).
cnf(c_0_217,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))) = sz0z00
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_210]),c_0_211]),c_0_212]),c_0_116])]) ).
cnf(c_0_218,hypothesis,
( sdtasdt0(xP,xP) != sz0z00
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_155]),c_0_123]),c_0_124])]) ).
cnf(c_0_219,plain,
( sdtasdt0(X1,sdtasdt0(smndt0(X2),smndt0(X3))) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_215]),c_0_42]),c_0_42]) ).
cnf(c_0_220,hypothesis,
( sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_189,c_0_116]) ).
cnf(c_0_221,hypothesis,
~ sdtlseqdt0(xP,sz0z00),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_222,hypothesis,
( sdtasdt0(sdtasdt0(X1,xP),xP) = sdtasdt0(X1,sdtasdt0(xP,xP))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_58]),c_0_65])]) ).
cnf(c_0_223,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_132,c_0_107]),c_0_109]),c_0_116])]) ).
cnf(c_0_224,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_182]),c_0_52]),c_0_65])]) ).
cnf(c_0_225,hypothesis,
sdtlseqdt0(sz0z00,xP),
inference(sr,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_226,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_111]),c_0_135]),c_0_65]),c_0_83])]) ).
cnf(c_0_227,hypothesis,
sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),xP) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_162]),c_0_129])]) ).
cnf(c_0_228,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_91]),c_0_48])]) ).
cnf(c_0_229,hypothesis,
( sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_223]),c_0_109])]) ).
cnf(c_0_230,hypothesis,
( sdtlseqdt0(smndt0(xP),sz0z00)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_150]),c_0_52])]) ).
cnf(c_0_231,hypothesis,
( sdtlseqdt0(X1,smndt0(xP))
| sdtlseqdt0(smndt0(xP),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_52]) ).
cnf(c_0_232,hypothesis,
( X1 = xP
| sdtasdt0(X1,X1) != sdtasdt0(xP,xP)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_225]),c_0_65])]) ).
cnf(c_0_233,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xP,sdtasdt0(xP,xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_225])]) ).
cnf(c_0_234,plain,
( sdtasdt0(X1,X2) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_100]),c_0_116])]),c_0_38]) ).
cnf(c_0_235,hypothesis,
sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_227]),c_0_65]),c_0_212])]) ).
cnf(c_0_236,hypothesis,
smndt0(smndt0(xG)) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_228]),c_0_91]),c_0_48])]) ).
cnf(c_0_237,hypothesis,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_228]),c_0_48])]) ).
cnf(c_0_238,hypothesis,
( sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_52])]) ).
cnf(c_0_239,hypothesis,
sdtlseqdt0(smndt0(xP),smndt0(xP)),
inference(spm,[status(thm)],[c_0_231,c_0_52]) ).
cnf(c_0_240,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,xP)) = xP
| sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xP,sdtasdt0(xP,xP))) != sdtasdt0(xP,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_129])]) ).
cnf(c_0_241,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,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_234,c_0_235]),c_0_135]),c_0_233]),c_0_83]),c_0_129])]) ).
cnf(c_0_242,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_188]),c_0_116]),c_0_65])]) ).
cnf(c_0_243,hypothesis,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_236]),c_0_237])]) ).
cnf(c_0_244,hypothesis,
( sdtlseqdt0(smndt0(xP),xG)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_52])]) ).
cnf(c_0_245,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_139,c_0_154]),c_0_155]),c_0_116])]) ).
cnf(c_0_246,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,xP)) = xP
| sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,xP)))) != sdtasdt0(xP,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_56]),c_0_129]),c_0_83]),c_0_65])]) ).
cnf(c_0_247,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,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_241,c_0_242]),c_0_211]),c_0_197]),c_0_212]),c_0_65])]) ).
cnf(c_0_248,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ sdtlseqdt0(X1,xG)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_243]),c_0_116]),c_0_109])]) ).
cnf(c_0_249,hypothesis,
sdtlseqdt0(smndt0(xP),xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_225])]) ).
cnf(c_0_250,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xP))
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_225]),c_0_65])]) ).
cnf(c_0_251,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,xP)) = xP
| sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))) != sdtasdt0(xP,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_56]),c_0_129]),c_0_65])]) ).
cnf(c_0_252,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,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_247,c_0_242]),c_0_233]),c_0_197]),c_0_129]),c_0_65])]) ).
cnf(c_0_253,hypothesis,
( sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sz0z00)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP))) ),
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_248,c_0_205]),c_0_164]),c_0_249]),c_0_79]),c_0_52])]) ).
cnf(c_0_254,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_239]),c_0_69]),c_0_52])]) ).
cnf(c_0_255,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,xP)) = xP
| sdtasdt0(xP,xP) != sz0z00
| ~ sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sz0z00) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_188]) ).
cnf(c_0_256,hypothesis,
sdtlseqdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254])]) ).
cnf(c_0_257,hypothesis,
( sdtasdt0(xP,smndt0(xP)) = sz0z00
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_164]),c_0_79]),c_0_116])]) ).
cnf(c_0_258,hypothesis,
( sdtasdt0(xP,sdtasdt0(xP,xP)) = xP
| sdtasdt0(xP,xP) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_256])]) ).
cnf(c_0_259,hypothesis,
sdtasdt0(xP,smndt0(xP)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_254])]) ).
cnf(c_0_260,hypothesis,
sdtasdt0(xP,xP) != sz0z00,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_258]),c_0_221]) ).
cnf(c_0_261,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_259]),c_0_144]),c_0_260]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG057+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:58:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 start to proof: theBenchmark
% 13.71/13.88 % Version : CSE_E---1.5
% 13.71/13.88 % Problem : theBenchmark.p
% 13.71/13.88 % Proof found
% 13.71/13.88 % SZS status Theorem for theBenchmark.p
% 13.71/13.88 % SZS output start Proof
% See solution above
% 13.71/13.89 % Total time : 13.272000 s
% 13.71/13.89 % SZS output end Proof
% 13.71/13.89 % Total time : 13.277000 s
%------------------------------------------------------------------------------