TSTP Solution File: RNG076+2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : RNG076+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:30:21 EDT 2022
% Result : Theorem 34.71s 34.89s
% Output : CNFRefutation 34.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(mScSqPos,axiom,
! [W0] :
( aVector0(W0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ),
input ).
fof(mScSqPos_0,plain,
! [W0] :
( ~ aVector0(W0)
| sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ),
inference(orientation,[status(thm)],[mScSqPos]) ).
fof(mDefInit,axiom,
! [W0] :
( aVector0(W0)
=> ( aDimensionOf0(W0) != sz00
=> ! [W1] :
( W1 = sziznziztdt0(W0)
<=> ( aVector0(W1)
& szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
& ! [W2] :
( aNaturalNumber0(W2)
=> sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ),
input ).
fof(mDefInit_0,plain,
! [W0] :
( ~ aVector0(W0)
| ( aDimensionOf0(W0) != sz00
=> ! [W1] :
( W1 = sziznziztdt0(W0)
<=> ( aVector0(W1)
& szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
& ! [W2] :
( aNaturalNumber0(W2)
=> sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ),
inference(orientation,[status(thm)],[mDefInit]) ).
fof(mElmSc,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aNaturalNumber0(W1) )
=> aScalar0(sdtlbdtrb0(W0,W1)) ),
input ).
fof(mElmSc_0,plain,
! [W0,W1] :
( aScalar0(sdtlbdtrb0(W0,W1))
| ~ ( aVector0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mElmSc]) ).
fof(mDimNat,axiom,
! [W0] :
( aVector0(W0)
=> aNaturalNumber0(aDimensionOf0(W0)) ),
input ).
fof(mDimNat_0,plain,
! [W0] :
( ~ aVector0(W0)
| aNaturalNumber0(aDimensionOf0(W0)) ),
inference(orientation,[status(thm)],[mDimNat]) ).
fof(mVcSort,axiom,
! [W0] :
( aVector0(W0)
=> $true ),
input ).
fof(mVcSort_0,plain,
! [W0] :
( ~ aVector0(W0)
| $true ),
inference(orientation,[status(thm)],[mVcSort]) ).
fof(mSqPos,axiom,
! [W0] :
( aScalar0(W0)
=> sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
input ).
fof(mSqPos_0,plain,
! [W0] :
( ~ aScalar0(W0)
| sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
inference(orientation,[status(thm)],[mSqPos]) ).
fof(mLERef,axiom,
! [W0] :
( aScalar0(W0)
=> sdtlseqdt0(W0,W0) ),
input ).
fof(mLERef_0,plain,
! [W0] :
( ~ aScalar0(W0)
| sdtlseqdt0(W0,W0) ),
inference(orientation,[status(thm)],[mLERef]) ).
fof(mMDNeg,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ),
input ).
fof(mMDNeg_0,plain,
! [W0,W1] :
( sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1)
| ~ ( aScalar0(W0)
& aScalar0(W1) ) ),
inference(orientation,[status(thm)],[mMDNeg]) ).
fof(mDistr2,axiom,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ),
input ).
fof(mDistr2_0,plain,
! [W0,W1,W2,W3] :
( sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3)))
| ~ ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) ) ),
inference(orientation,[status(thm)],[mDistr2]) ).
fof(mScZero,axiom,
! [W0] :
( aScalar0(W0)
=> ( sdtpldt0(W0,sz0z00) = W0
& sdtpldt0(sz0z00,W0) = W0
& sdtasdt0(W0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,W0) = sz0z00
& sdtpldt0(W0,smndt0(W0)) = sz0z00
& sdtpldt0(smndt0(W0),W0) = sz0z00
& smndt0(smndt0(W0)) = W0
& smndt0(sz0z00) = sz0z00 ) ),
input ).
fof(mScZero_0,plain,
! [W0] :
( ~ aScalar0(W0)
| ( sdtpldt0(W0,sz0z00) = W0
& sdtpldt0(sz0z00,W0) = W0
& sdtasdt0(W0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,W0) = sz0z00
& sdtpldt0(W0,smndt0(W0)) = sz0z00
& sdtpldt0(smndt0(W0),W0) = sz0z00
& smndt0(smndt0(W0)) = W0
& smndt0(sz0z00) = sz0z00 ) ),
inference(orientation,[status(thm)],[mScZero]) ).
fof(mNegSc,axiom,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
input ).
fof(mNegSc_0,plain,
! [W0] :
( ~ aScalar0(W0)
| aScalar0(smndt0(W0)) ),
inference(orientation,[status(thm)],[mNegSc]) ).
fof(mMulSc,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
input ).
fof(mMulSc_0,plain,
! [W0,W1] :
( aScalar0(sdtasdt0(W0,W1))
| ~ ( aScalar0(W0)
& aScalar0(W1) ) ),
inference(orientation,[status(thm)],[mMulSc]) ).
fof(mSumSc,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
input ).
fof(mSumSc_0,plain,
! [W0,W1] :
( aScalar0(sdtpldt0(W0,W1))
| ~ ( aScalar0(W0)
& aScalar0(W1) ) ),
inference(orientation,[status(thm)],[mSumSc]) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
input ).
fof(mSZeroSc_0,plain,
( aScalar0(sz0z00)
| $false ),
inference(orientation,[status(thm)],[mSZeroSc]) ).
fof(mScSort,axiom,
! [W0] :
( aScalar0(W0)
=> $true ),
input ).
fof(mScSort_0,plain,
! [W0] :
( ~ aScalar0(W0)
| $true ),
inference(orientation,[status(thm)],[mScSort]) ).
fof(mIH,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
input ).
fof(mIH_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| iLess0(W0,szszuzczcdt0(W0)) ),
inference(orientation,[status(thm)],[mIH]) ).
fof(mSuccNat,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( aNaturalNumber0(szszuzczcdt0(W0))
& szszuzczcdt0(W0) != sz00 ) ),
input ).
fof(mSuccNat_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( aNaturalNumber0(szszuzczcdt0(W0))
& szszuzczcdt0(W0) != sz00 ) ),
inference(orientation,[status(thm)],[mSuccNat]) ).
fof(mZeroNat,axiom,
aNaturalNumber0(sz00),
input ).
fof(mZeroNat_0,plain,
( aNaturalNumber0(sz00)
| $false ),
inference(orientation,[status(thm)],[mZeroNat]) ).
fof(mNatSort,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> $true ),
input ).
fof(mNatSort_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| $true ),
inference(orientation,[status(thm)],[mNatSort]) ).
fof(def_lhs_atom1,axiom,
! [W0] :
( lhs_atom1(W0)
<=> ~ aNaturalNumber0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [W0] :
( lhs_atom1(W0)
| $true ),
inference(fold_definition,[status(thm)],[mNatSort_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> aNaturalNumber0(sz00) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[mZeroNat_0,def_lhs_atom2]) ).
fof(to_be_clausified_2,plain,
! [W0] :
( lhs_atom1(W0)
| ( aNaturalNumber0(szszuzczcdt0(W0))
& szszuzczcdt0(W0) != sz00 ) ),
inference(fold_definition,[status(thm)],[mSuccNat_0,def_lhs_atom1]) ).
fof(to_be_clausified_3,plain,
! [W0] :
( lhs_atom1(W0)
| iLess0(W0,szszuzczcdt0(W0)) ),
inference(fold_definition,[status(thm)],[mIH_0,def_lhs_atom1]) ).
fof(def_lhs_atom3,axiom,
! [W0] :
( lhs_atom3(W0)
<=> ~ aScalar0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [W0] :
( lhs_atom3(W0)
| $true ),
inference(fold_definition,[status(thm)],[mScSort_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> aScalar0(sz0z00) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[mSZeroSc_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [W1,W0] :
( lhs_atom5(W1,W0)
<=> aScalar0(sdtpldt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [W0,W1] :
( lhs_atom5(W1,W0)
| ~ ( aScalar0(W0)
& aScalar0(W1) ) ),
inference(fold_definition,[status(thm)],[mSumSc_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [W1,W0] :
( lhs_atom6(W1,W0)
<=> aScalar0(sdtasdt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [W0,W1] :
( lhs_atom6(W1,W0)
| ~ ( aScalar0(W0)
& aScalar0(W1) ) ),
inference(fold_definition,[status(thm)],[mMulSc_0,def_lhs_atom6]) ).
fof(to_be_clausified_8,plain,
! [W0] :
( lhs_atom3(W0)
| aScalar0(smndt0(W0)) ),
inference(fold_definition,[status(thm)],[mNegSc_0,def_lhs_atom3]) ).
fof(to_be_clausified_9,plain,
! [W0] :
( lhs_atom3(W0)
| ( sdtpldt0(W0,sz0z00) = W0
& sdtpldt0(sz0z00,W0) = W0
& sdtasdt0(W0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,W0) = sz0z00
& sdtpldt0(W0,smndt0(W0)) = sz0z00
& sdtpldt0(smndt0(W0),W0) = sz0z00
& smndt0(smndt0(W0)) = W0
& smndt0(sz0z00) = sz0z00 ) ),
inference(fold_definition,[status(thm)],[mScZero_0,def_lhs_atom3]) ).
fof(def_lhs_atom7,axiom,
! [W3,W2,W1,W0] :
( lhs_atom7(W3,W2,W1,W0)
<=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [W0,W1,W2,W3] :
( lhs_atom7(W3,W2,W1,W0)
| ~ ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) ) ),
inference(fold_definition,[status(thm)],[mDistr2_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [W1,W0] :
( lhs_atom8(W1,W0)
<=> sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [W0,W1] :
( lhs_atom8(W1,W0)
| ~ ( aScalar0(W0)
& aScalar0(W1) ) ),
inference(fold_definition,[status(thm)],[mMDNeg_0,def_lhs_atom8]) ).
fof(to_be_clausified_12,plain,
! [W0] :
( lhs_atom3(W0)
| sdtlseqdt0(W0,W0) ),
inference(fold_definition,[status(thm)],[mLERef_0,def_lhs_atom3]) ).
fof(to_be_clausified_13,plain,
! [W0] :
( lhs_atom3(W0)
| sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
inference(fold_definition,[status(thm)],[mSqPos_0,def_lhs_atom3]) ).
fof(def_lhs_atom9,axiom,
! [W0] :
( lhs_atom9(W0)
<=> ~ aVector0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [W0] :
( lhs_atom9(W0)
| $true ),
inference(fold_definition,[status(thm)],[mVcSort_0,def_lhs_atom9]) ).
fof(to_be_clausified_15,plain,
! [W0] :
( lhs_atom9(W0)
| aNaturalNumber0(aDimensionOf0(W0)) ),
inference(fold_definition,[status(thm)],[mDimNat_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [W1,W0] :
( lhs_atom10(W1,W0)
<=> aScalar0(sdtlbdtrb0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [W0,W1] :
( lhs_atom10(W1,W0)
| ~ ( aVector0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mElmSc_0,def_lhs_atom10]) ).
fof(to_be_clausified_17,plain,
! [W0] :
( lhs_atom9(W0)
| ( aDimensionOf0(W0) != sz00
=> ! [W1] :
( W1 = sziznziztdt0(W0)
<=> ( aVector0(W1)
& szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
& ! [W2] :
( aNaturalNumber0(W2)
=> sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefInit_0,def_lhs_atom9]) ).
fof(to_be_clausified_18,plain,
! [W0] :
( lhs_atom9(W0)
| sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ),
inference(fold_definition,[status(thm)],[mScSqPos_0,def_lhs_atom9]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X4,X2,X1] :
( lhs_atom7(X3,X4,X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X4)
& aScalar0(X3) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom9(X1)
| ( aDimensionOf0(X1) != sz00
=> ! [X2] :
( X2 = sziznziztdt0(X1)
<=> ( aVector0(X2)
& szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
& ! [X4] :
( aNaturalNumber0(X4)
=> sdtlbdtrb0(X2,X4) = sdtlbdtrb0(X1,X4) ) ) ) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom9(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_3,axiom,
! [X1] :
( lhs_atom3(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_4,axiom,
! [X2,X1] :
( lhs_atom10(X2,X1)
| ~ ( aVector0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_5,axiom,
! [X2,X1] :
( lhs_atom8(X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_6,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_7,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom3(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('<stdin>',to_be_clausified_9) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom1(X1)
| iLess0(X1,szszuzczcdt0(X1)) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom3(X1)
| sdtlseqdt0(X1,X1) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom9(X1)
| aNaturalNumber0(aDimensionOf0(X1)) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_12,axiom,
! [X1] :
( lhs_atom3(X1)
| aScalar0(smndt0(X1)) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_13,axiom,
! [X1] :
( lhs_atom1(X1)
| ( aNaturalNumber0(szszuzczcdt0(X1))
& szszuzczcdt0(X1) != sz00 ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_14,axiom,
! [X1] :
( lhs_atom9(X1)
| $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_15,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom3(X1)
| $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_17,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_18,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_19,axiom,
! [X3,X4,X2,X1] :
( lhs_atom7(X3,X4,X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X4)
& aScalar0(X3) ) ),
c_0_0 ).
fof(c_0_20,axiom,
! [X1] :
( lhs_atom9(X1)
| ( aDimensionOf0(X1) != sz00
=> ! [X2] :
( X2 = sziznziztdt0(X1)
<=> ( aVector0(X2)
& szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
& ! [X4] :
( aNaturalNumber0(X4)
=> sdtlbdtrb0(X2,X4) = sdtlbdtrb0(X1,X4) ) ) ) ) ),
c_0_1 ).
fof(c_0_21,axiom,
! [X1] :
( lhs_atom9(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
c_0_2 ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom3(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
c_0_3 ).
fof(c_0_23,axiom,
! [X2,X1] :
( lhs_atom10(X2,X1)
| ~ ( aVector0(X1)
& aNaturalNumber0(X2) ) ),
c_0_4 ).
fof(c_0_24,axiom,
! [X2,X1] :
( lhs_atom8(X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2) ) ),
c_0_5 ).
fof(c_0_25,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2) ) ),
c_0_6 ).
fof(c_0_26,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aScalar0(X1)
& aScalar0(X2) ) ),
c_0_7 ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom3(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 ) ),
c_0_8 ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom1(X1)
| iLess0(X1,szszuzczcdt0(X1)) ),
c_0_9 ).
fof(c_0_29,axiom,
! [X1] :
( lhs_atom3(X1)
| sdtlseqdt0(X1,X1) ),
c_0_10 ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom9(X1)
| aNaturalNumber0(aDimensionOf0(X1)) ),
c_0_11 ).
fof(c_0_31,axiom,
! [X1] :
( lhs_atom3(X1)
| aScalar0(smndt0(X1)) ),
c_0_12 ).
fof(c_0_32,axiom,
! [X1] :
( lhs_atom1(X1)
| ( aNaturalNumber0(szszuzczcdt0(X1))
& szszuzczcdt0(X1) != sz00 ) ),
c_0_13 ).
fof(c_0_33,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_34,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_35,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_36,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_37,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_38,plain,
! [X5,X6,X7,X8] :
( lhs_atom7(X5,X6,X7,X8)
| ~ aScalar0(X8)
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_39,plain,
! [X5,X6,X7,X8] :
( ( aVector0(X6)
| X6 != sziznziztdt0(X5)
| aDimensionOf0(X5) = sz00
| lhs_atom9(X5) )
& ( szszuzczcdt0(aDimensionOf0(X6)) = aDimensionOf0(X5)
| X6 != sziznziztdt0(X5)
| aDimensionOf0(X5) = sz00
| lhs_atom9(X5) )
& ( ~ aNaturalNumber0(X7)
| sdtlbdtrb0(X6,X7) = sdtlbdtrb0(X5,X7)
| X6 != sziznziztdt0(X5)
| aDimensionOf0(X5) = sz00
| lhs_atom9(X5) )
& ( aNaturalNumber0(esk1_2(X5,X8))
| szszuzczcdt0(aDimensionOf0(X8)) != aDimensionOf0(X5)
| ~ aVector0(X8)
| X8 = sziznziztdt0(X5)
| aDimensionOf0(X5) = sz00
| lhs_atom9(X5) )
& ( sdtlbdtrb0(X8,esk1_2(X5,X8)) != sdtlbdtrb0(X5,esk1_2(X5,X8))
| szszuzczcdt0(aDimensionOf0(X8)) != aDimensionOf0(X5)
| ~ aVector0(X8)
| X8 = sziznziztdt0(X5)
| aDimensionOf0(X5) = sz00
| lhs_atom9(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])]) ).
fof(c_0_40,plain,
! [X2] :
( lhs_atom9(X2)
| sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_41,plain,
! [X2] :
( lhs_atom3(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_42,plain,
! [X3,X4] :
( lhs_atom10(X3,X4)
| ~ aVector0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
fof(c_0_43,plain,
! [X3,X4] :
( lhs_atom8(X3,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_44,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_45,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
fof(c_0_46,plain,
! [X2] :
( ( sdtpldt0(X2,sz0z00) = X2
| lhs_atom3(X2) )
& ( sdtpldt0(sz0z00,X2) = X2
| lhs_atom3(X2) )
& ( sdtasdt0(X2,sz0z00) = sz0z00
| lhs_atom3(X2) )
& ( sdtasdt0(sz0z00,X2) = sz0z00
| lhs_atom3(X2) )
& ( sdtpldt0(X2,smndt0(X2)) = sz0z00
| lhs_atom3(X2) )
& ( sdtpldt0(smndt0(X2),X2) = sz0z00
| lhs_atom3(X2) )
& ( smndt0(smndt0(X2)) = X2
| lhs_atom3(X2) )
& ( smndt0(sz0z00) = sz0z00
| lhs_atom3(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_47,plain,
! [X2] :
( lhs_atom1(X2)
| iLess0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
fof(c_0_48,plain,
! [X2] :
( lhs_atom3(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_49,plain,
! [X2] :
( lhs_atom9(X2)
| aNaturalNumber0(aDimensionOf0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_50,plain,
! [X2] :
( lhs_atom3(X2)
| aScalar0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_51,plain,
! [X2] :
( ( aNaturalNumber0(szszuzczcdt0(X2))
| lhs_atom1(X2) )
& ( szszuzczcdt0(X2) != sz00
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
fof(c_0_52,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_53,plain,
lhs_atom4,
c_0_34 ).
fof(c_0_54,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_55,plain,
lhs_atom2,
c_0_36 ).
fof(c_0_56,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( lhs_atom7(X1,X2,X3,X4)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_58,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| X2 = sziznziztdt0(X1)
| ~ aVector0(X2)
| szszuzczcdt0(aDimensionOf0(X2)) != aDimensionOf0(X1)
| sdtlbdtrb0(X2,esk1_2(X1,X2)) != sdtlbdtrb0(X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| X2 = sziznziztdt0(X1)
| aNaturalNumber0(esk1_2(X1,X2))
| ~ aVector0(X2)
| szszuzczcdt0(aDimensionOf0(X2)) != aDimensionOf0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_60,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_61,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| lhs_atom9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_62,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| lhs_atom3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_63,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_64,plain,
( lhs_atom10(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_65,plain,
( lhs_atom8(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_66,plain,
( lhs_atom6(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_67,plain,
( lhs_atom5(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68,plain,
( lhs_atom3(X1)
| sdtpldt0(X1,smndt0(X1)) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_69,plain,
( lhs_atom3(X1)
| sdtpldt0(smndt0(X1),X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70,plain,
( iLess0(X1,szszuzczcdt0(X1))
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_71,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| aVector0(X2)
| X2 != sziznziztdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_72,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73,plain,
( lhs_atom3(X1)
| sdtpldt0(X1,sz0z00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_74,plain,
( lhs_atom3(X1)
| sdtpldt0(sz0z00,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_75,plain,
( lhs_atom3(X1)
| sdtasdt0(X1,sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_76,plain,
( lhs_atom3(X1)
| sdtasdt0(sz0z00,X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_77,plain,
( lhs_atom3(X1)
| smndt0(smndt0(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_78,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| lhs_atom9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_79,plain,
( aScalar0(smndt0(X1))
| lhs_atom3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_80,plain,
( lhs_atom1(X1)
| aNaturalNumber0(szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_81,plain,
( lhs_atom1(X1)
| szszuzczcdt0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_82,plain,
( lhs_atom3(X1)
| smndt0(sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_83,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_84,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_85,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_86,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_87,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_88,plain,
( lhs_atom7(X1,X2,X3,X4)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ),
c_0_57,
[final] ).
cnf(c_0_89,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| X2 = sziznziztdt0(X1)
| ~ aVector0(X2)
| szszuzczcdt0(aDimensionOf0(X2)) != aDimensionOf0(X1)
| sdtlbdtrb0(X2,esk1_2(X1,X2)) != sdtlbdtrb0(X1,esk1_2(X1,X2)) ),
c_0_58,
[final] ).
cnf(c_0_90,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| X2 = sziznziztdt0(X1)
| aNaturalNumber0(esk1_2(X1,X2))
| ~ aVector0(X2)
| szszuzczcdt0(aDimensionOf0(X2)) != aDimensionOf0(X1) ),
c_0_59,
[final] ).
cnf(c_0_91,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3) ),
c_0_60,
[final] ).
cnf(c_0_92,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| lhs_atom9(X1) ),
c_0_61,
[final] ).
cnf(c_0_93,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| lhs_atom3(X1) ),
c_0_62,
[final] ).
cnf(c_0_94,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1) ),
c_0_63,
[final] ).
cnf(c_0_95,plain,
( lhs_atom10(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X2) ),
c_0_64,
[final] ).
cnf(c_0_96,plain,
( lhs_atom8(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
c_0_65,
[final] ).
cnf(c_0_97,plain,
( lhs_atom6(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
c_0_66,
[final] ).
cnf(c_0_98,plain,
( lhs_atom5(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
c_0_67,
[final] ).
cnf(c_0_99,plain,
( lhs_atom3(X1)
| sdtpldt0(X1,smndt0(X1)) = sz0z00 ),
c_0_68,
[final] ).
cnf(c_0_100,plain,
( lhs_atom3(X1)
| sdtpldt0(smndt0(X1),X1) = sz0z00 ),
c_0_69,
[final] ).
cnf(c_0_101,plain,
( iLess0(X1,szszuzczcdt0(X1))
| lhs_atom1(X1) ),
c_0_70,
[final] ).
cnf(c_0_102,plain,
( lhs_atom9(X1)
| aDimensionOf0(X1) = sz00
| aVector0(X2)
| X2 != sziznziztdt0(X1) ),
c_0_71,
[final] ).
cnf(c_0_103,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom3(X1) ),
c_0_72,
[final] ).
cnf(c_0_104,plain,
( lhs_atom3(X1)
| sdtpldt0(X1,sz0z00) = X1 ),
c_0_73,
[final] ).
cnf(c_0_105,plain,
( lhs_atom3(X1)
| sdtpldt0(sz0z00,X1) = X1 ),
c_0_74,
[final] ).
cnf(c_0_106,plain,
( lhs_atom3(X1)
| sdtasdt0(X1,sz0z00) = sz0z00 ),
c_0_75,
[final] ).
cnf(c_0_107,plain,
( lhs_atom3(X1)
| sdtasdt0(sz0z00,X1) = sz0z00 ),
c_0_76,
[final] ).
cnf(c_0_108,plain,
( lhs_atom3(X1)
| smndt0(smndt0(X1)) = X1 ),
c_0_77,
[final] ).
cnf(c_0_109,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| lhs_atom9(X1) ),
c_0_78,
[final] ).
cnf(c_0_110,plain,
( aScalar0(smndt0(X1))
| lhs_atom3(X1) ),
c_0_79,
[final] ).
cnf(c_0_111,plain,
( lhs_atom1(X1)
| aNaturalNumber0(szszuzczcdt0(X1)) ),
c_0_80,
[final] ).
cnf(c_0_112,plain,
( lhs_atom1(X1)
| szszuzczcdt0(X1) != sz00 ),
c_0_81,
[final] ).
cnf(c_0_113,plain,
( lhs_atom3(X1)
| smndt0(sz0z00) = sz0z00 ),
c_0_82,
[final] ).
cnf(c_0_114,plain,
$true,
c_0_83,
[final] ).
cnf(c_0_115,plain,
lhs_atom4,
c_0_84,
[final] ).
cnf(c_0_116,plain,
$true,
c_0_85,
[final] ).
cnf(c_0_117,plain,
lhs_atom2,
c_0_86,
[final] ).
cnf(c_0_118,plain,
$true,
c_0_87,
[final] ).
% End CNF derivation
cnf(c_0_88_0,axiom,
( sdtasdt0(sdtpldt0(X4,X3),sdtpldt0(X2,X1)) = sdtpldt0(sdtpldt0(sdtasdt0(X4,X2),sdtasdt0(X4,X1)),sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ),
inference(unfold_definition,[status(thm)],[c_0_88,def_lhs_atom7]) ).
cnf(c_0_89_0,axiom,
( ~ aVector0(X1)
| aDimensionOf0(X1) = sz00
| X2 = sziznziztdt0(X1)
| ~ aVector0(X2)
| szszuzczcdt0(aDimensionOf0(X2)) != aDimensionOf0(X1)
| sdtlbdtrb0(X2,sk1_esk1_2(X1,X2)) != sdtlbdtrb0(X1,sk1_esk1_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_89,def_lhs_atom9]) ).
cnf(c_0_90_0,axiom,
( ~ aVector0(X1)
| aDimensionOf0(X1) = sz00
| X2 = sziznziztdt0(X1)
| aNaturalNumber0(sk1_esk1_2(X1,X2))
| ~ aVector0(X2)
| szszuzczcdt0(aDimensionOf0(X2)) != aDimensionOf0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_90,def_lhs_atom9]) ).
cnf(c_0_91_0,axiom,
( ~ aVector0(X1)
| aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_91,def_lhs_atom9]) ).
cnf(c_0_92_0,axiom,
( ~ aVector0(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_92,def_lhs_atom9]) ).
cnf(c_0_93_0,axiom,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_93,def_lhs_atom3]) ).
cnf(c_0_94_0,axiom,
( ~ aVector0(X1)
| aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_94,def_lhs_atom9]) ).
cnf(c_0_95_0,axiom,
( aScalar0(sdtlbdtrb0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_95,def_lhs_atom10]) ).
cnf(c_0_96_0,axiom,
( sdtasdt0(smndt0(X2),smndt0(X1)) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_96,def_lhs_atom8]) ).
cnf(c_0_97_0,axiom,
( aScalar0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_97,def_lhs_atom6]) ).
cnf(c_0_98_0,axiom,
( aScalar0(sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_98,def_lhs_atom5]) ).
cnf(c_0_99_0,axiom,
( ~ aScalar0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz0z00 ),
inference(unfold_definition,[status(thm)],[c_0_99,def_lhs_atom3]) ).
cnf(c_0_100_0,axiom,
( ~ aScalar0(X1)
| sdtpldt0(smndt0(X1),X1) = sz0z00 ),
inference(unfold_definition,[status(thm)],[c_0_100,def_lhs_atom3]) ).
cnf(c_0_101_0,axiom,
( ~ aNaturalNumber0(X1)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_101,def_lhs_atom1]) ).
cnf(c_0_102_0,axiom,
( ~ aVector0(X1)
| aDimensionOf0(X1) = sz00
| aVector0(X2)
| X2 != sziznziztdt0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_102,def_lhs_atom9]) ).
cnf(c_0_103_0,axiom,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,X1) ),
inference(unfold_definition,[status(thm)],[c_0_103,def_lhs_atom3]) ).
cnf(c_0_104_0,axiom,
( ~ aScalar0(X1)
| sdtpldt0(X1,sz0z00) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_104,def_lhs_atom3]) ).
cnf(c_0_105_0,axiom,
( ~ aScalar0(X1)
| sdtpldt0(sz0z00,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_105,def_lhs_atom3]) ).
cnf(c_0_106_0,axiom,
( ~ aScalar0(X1)
| sdtasdt0(X1,sz0z00) = sz0z00 ),
inference(unfold_definition,[status(thm)],[c_0_106,def_lhs_atom3]) ).
cnf(c_0_107_0,axiom,
( ~ aScalar0(X1)
| sdtasdt0(sz0z00,X1) = sz0z00 ),
inference(unfold_definition,[status(thm)],[c_0_107,def_lhs_atom3]) ).
cnf(c_0_108_0,axiom,
( ~ aScalar0(X1)
| smndt0(smndt0(X1)) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_108,def_lhs_atom3]) ).
cnf(c_0_109_0,axiom,
( ~ aVector0(X1)
| aNaturalNumber0(aDimensionOf0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_109,def_lhs_atom9]) ).
cnf(c_0_110_0,axiom,
( ~ aScalar0(X1)
| aScalar0(smndt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_110,def_lhs_atom3]) ).
cnf(c_0_111_0,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(szszuzczcdt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_111,def_lhs_atom1]) ).
cnf(c_0_112_0,axiom,
( ~ aNaturalNumber0(X1)
| szszuzczcdt0(X1) != sz00 ),
inference(unfold_definition,[status(thm)],[c_0_112,def_lhs_atom1]) ).
cnf(c_0_113_0,axiom,
( ~ aScalar0(X1)
| smndt0(sz0z00) = sz0z00 ),
inference(unfold_definition,[status(thm)],[c_0_113,def_lhs_atom3]) ).
cnf(c_0_114_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_114,def_true]) ).
cnf(c_0_115_0,axiom,
aScalar0(sz0z00),
inference(unfold_definition,[status(thm)],[c_0_115,def_lhs_atom4]) ).
cnf(c_0_116_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_116,def_true]) ).
cnf(c_0_117_0,axiom,
aNaturalNumber0(sz00),
inference(unfold_definition,[status(thm)],[c_0_117,def_lhs_atom2]) ).
cnf(c_0_118_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_118,def_true]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,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('<stdin>',mDefSPN) ).
fof(c_0_1_002,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('<stdin>',mLEMonM) ).
fof(c_0_2_003,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('<stdin>',mLEMon) ).
fof(c_0_3_004,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('<stdin>',mDistr) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
=> X1 = X2 ) ),
file('<stdin>',mSqrt) ).
fof(c_0_5_006,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('<stdin>',mArith) ).
fof(c_0_6_007,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('<stdin>',mPosMon) ).
fof(c_0_7_008,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('<stdin>',mLETrn) ).
fof(c_0_8_009,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('<stdin>',mMNeg) ).
fof(c_0_9_010,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('<stdin>',mLEASm) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('<stdin>',mScPr) ).
fof(c_0_11_012,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2)) ) ),
file('<stdin>',mEqInit) ).
fof(c_0_12_013,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) = sz00 )
=> sdtasasdt0(X1,X2) = sz0z00 ) ),
file('<stdin>',mDefSPZ) ).
fof(c_0_13_014,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('<stdin>',mLETot) ).
fof(c_0_14_015,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('<stdin>',mSuccEqu) ).
fof(c_0_15_016,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00 )
=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = szszuzczcdt0(X2) ) ),
file('<stdin>',mNatExtr) ).
fof(c_0_16_017,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mIHOrd) ).
fof(c_0_17_018,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> $true ) ),
file('<stdin>',mLess) ).
fof(c_0_18_019,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)))) ) ),
c_0_0 ).
fof(c_0_19_020,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)) ) ),
c_0_1 ).
fof(c_0_20_021,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)) ) ),
c_0_2 ).
fof(c_0_21_022,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)) ) ),
c_0_3 ).
fof(c_0_22_023,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
=> X1 = X2 ) ),
c_0_4 ).
fof(c_0_23_024,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) ) ),
c_0_5 ).
fof(c_0_24_025,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
c_0_6 ).
fof(c_0_25_026,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
c_0_7 ).
fof(c_0_26_027,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
c_0_8 ).
fof(c_0_27_028,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
c_0_9 ).
fof(c_0_28_029,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
c_0_10 ).
fof(c_0_29_030,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2)) ) ),
c_0_11 ).
fof(c_0_30_031,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) = sz00 )
=> sdtasasdt0(X1,X2) = sz0z00 ) ),
c_0_12 ).
fof(c_0_31_032,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
c_0_13 ).
fof(c_0_32_033,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
c_0_14 ).
fof(c_0_33_034,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00 )
=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = szszuzczcdt0(X2) ) ),
c_0_15 ).
fof(c_0_34_035,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_35_036,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_36_037,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) = sz00
| sdtasasdt0(X3,X4) = sdtpldt0(sdtasasdt0(sziznziztdt0(X3),sziznziztdt0(X4)),sdtasdt0(sdtlbdtrb0(X3,aDimensionOf0(X3)),sdtlbdtrb0(X4,aDimensionOf0(X4)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_37_038,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtasdt0(X5,X7),sdtasdt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_38_039,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtpldt0(X5,X7),sdtpldt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
fof(c_0_39_040,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_40_041,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| sdtasdt0(X3,X3) != sdtasdt0(X4,X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_41_042,plain,
! [X4,X5,X6] :
( ( sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtpldt0(X4,X5) = sdtpldt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(X4,X5) = sdtasdt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_42_043,plain,
! [X3,X4] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_43_044,plain,
! [X4,X5,X6] :
( ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_44_045,plain,
! [X3,X4] :
( ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_45_046,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_46_047,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aScalar0(sdtasasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).
fof(c_0_47_048,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) = sz00
| aDimensionOf0(sziznziztdt0(X3)) = aDimensionOf0(sziznziztdt0(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_48_049,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) != sz00
| sdtasasdt0(X3,X4) = sz0z00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_49_050,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_50_051,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| szszuzczcdt0(X3) != szszuzczcdt0(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_51_052,plain,
! [X3] :
( ( aNaturalNumber0(esk1_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00 )
& ( X3 = szszuzczcdt0(esk1_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_52_053,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_53_054,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_54_055,plain,
( sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55_056,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_56_057,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57_058,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58_059,plain,
( sdtasdt0(sdtpldt0(X3,X2),X1) = sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59_060,plain,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60_061,plain,
( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61_062,plain,
( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_62_063,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_63_064,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64_065,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_65_066,plain,
( sdtasdt0(X2,smndt0(X1)) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_66_067,plain,
( sdtasdt0(smndt0(X2),X1) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_67_068,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68_069,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_69_070,plain,
( aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2))
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_70_071,plain,
( sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_71_072,plain,
( sdtasdt0(X3,X2) = sdtasdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_72_073,plain,
( sdtasasdt0(X1,X2) = sz0z00
| aDimensionOf0(X2) != sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73_074,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_74_075,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_75_076,plain,
( X1 = sz00
| X1 = szszuzczcdt0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_76_077,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_77_078,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_78_079,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_79_080,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) = sdtasasdt0(X1,X2)
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
c_0_54,
[final] ).
cnf(c_0_80_081,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
c_0_55,
[final] ).
cnf(c_0_81_082,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
c_0_56,
[final] ).
cnf(c_0_82_083,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
c_0_57,
[final] ).
cnf(c_0_83_084,plain,
( sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
c_0_58,
[final] ).
cnf(c_0_84_085,plain,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
c_0_59,
[final] ).
cnf(c_0_85_086,plain,
( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
c_0_60,
[final] ).
cnf(c_0_86_087,plain,
( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
c_0_61,
[final] ).
cnf(c_0_87_088,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
c_0_62,
[final] ).
cnf(c_0_88_089,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
c_0_63,
[final] ).
cnf(c_0_89_090,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
c_0_64,
[final] ).
cnf(c_0_90_091,plain,
( smndt0(sdtasdt0(X2,X1)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
c_0_65,
[final] ).
cnf(c_0_91_092,plain,
( smndt0(sdtasdt0(X2,X1)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
c_0_66,
[final] ).
cnf(c_0_92_093,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
c_0_67,
[final] ).
cnf(c_0_93_094,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
c_0_68,
[final] ).
cnf(c_0_94_095,plain,
( aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2))
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
c_0_69,
[final] ).
cnf(c_0_95_096,plain,
( sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
c_0_70,
[final] ).
cnf(c_0_96_097,plain,
( sdtasdt0(X3,X2) = sdtasdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
c_0_71,
[final] ).
cnf(c_0_97_098,plain,
( sdtasasdt0(X1,X2) = sz0z00
| aDimensionOf0(X2) != sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
c_0_72,
[final] ).
cnf(c_0_98_099,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
c_0_73,
[final] ).
cnf(c_0_99_100,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_74,
[final] ).
cnf(c_0_100_101,plain,
( X1 = sz00
| szszuzczcdt0(esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
c_0_75,
[final] ).
cnf(c_0_101_102,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
c_0_76,
[final] ).
cnf(c_0_102_103,plain,
$true,
c_0_77,
[final] ).
cnf(c_0_103_104,plain,
$true,
c_0_78,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_79_0,axiom,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) = sdtasasdt0(X1,X2)
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_1,axiom,
( aDimensionOf0(X2) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) = sdtasasdt0(X1,X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_2,axiom,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) = sdtasasdt0(X1,X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_3,axiom,
( ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) = sdtasasdt0(X1,X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_4,axiom,
( ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) = sdtasasdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_1,axiom,
( ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_2,axiom,
( ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_3,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_4,axiom,
( ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_5,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_6,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_7,axiom,
( ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_81_0,axiom,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_2,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_3,axiom,
( ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_4,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_5,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_6,axiom,
( ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X2,X4)
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_2,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_3,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_83_0,axiom,
( sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_1,axiom,
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_2,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_3,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_1,axiom,
( sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| X1 = X2
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_2,axiom,
( ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| X1 = X2
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_3,axiom,
( ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_4,axiom,
( ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| X1 = X2
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_5,axiom,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_2,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_3,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_3,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_2,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_3,axiom,
( ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_4,axiom,
( ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_1,axiom,
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_2,axiom,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_3,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_4,axiom,
( ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_5,axiom,
( ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_1,axiom,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_2,axiom,
( ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_3,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_4,axiom,
( ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_5,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_6,axiom,
( ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_1,axiom,
( smndt0(sdtasdt0(X2,X1)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_2,axiom,
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X2,X1)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_3,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| smndt0(sdtasdt0(X2,X1)) = sdtasdt0(X2,smndt0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_1,axiom,
( smndt0(sdtasdt0(X2,X1)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X2,X1)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_3,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| smndt0(sdtasdt0(X2,X1)) = sdtasdt0(smndt0(X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_1,axiom,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_2,axiom,
( ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_3,axiom,
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_4,axiom,
( ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aScalar0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_5,axiom,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_1,axiom,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| aScalar0(sdtasasdt0(X1,X2))
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_3,axiom,
( ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aScalar0(sdtasasdt0(X1,X2))
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_4,axiom,
( ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aScalar0(sdtasasdt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_1,axiom,
( aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2))
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( aDimensionOf0(X2) = sz00
| aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_3,axiom,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2))
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_4,axiom,
( ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2))
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_5,axiom,
( ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(sziznziztdt0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_1,axiom,
( sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( ~ aScalar0(X1)
| sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_3,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_4,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(X3,X2) = sdtpldt0(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_1,axiom,
( sdtasdt0(X3,X2) = sdtasdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( ~ aScalar0(X1)
| sdtasdt0(X3,X2) = sdtasdt0(X2,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_3,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X3,X2) = sdtasdt0(X2,X3)
| ~ aScalar0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_4,axiom,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X3,X2) = sdtasdt0(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_1,axiom,
( sdtasasdt0(X1,X2) = sz0z00
| aDimensionOf0(X2) != sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( aDimensionOf0(X2) != sz00
| sdtasasdt0(X1,X2) = sz0z00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_3,axiom,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) != sz00
| sdtasasdt0(X1,X2) = sz0z00
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_4,axiom,
( ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) != sz00
| sdtasasdt0(X1,X2) = sz0z00
| ~ aVector0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_5,axiom,
( ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) != sz00
| sdtasasdt0(X1,X2) = sz0z00 ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_1,axiom,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_2,axiom,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ aScalar0(X1)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_4,axiom,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_1,axiom,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( szszuzczcdt0(X1) != szszuzczcdt0(X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_3,axiom,
( ~ aNaturalNumber0(X2)
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| X1 = X2
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_1,axiom,
( X1 = sz00
| szszuzczcdt0(sk2_esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_2,axiom,
( szszuzczcdt0(sk2_esk1_1(X1)) = X1
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_3,axiom,
( ~ aNaturalNumber0(X1)
| szszuzczcdt0(sk2_esk1_1(X1)) = X1
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_1,axiom,
( X1 = sz00
| aNaturalNumber0(sk2_esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( aNaturalNumber0(sk2_esk1_1(X1))
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_1(X1))
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_1,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_1,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_103]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_105,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('<stdin>',m__) ).
fof(c_0_1_106,hypothesis,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2))) ) ) ),
file('<stdin>',m__1652) ).
fof(c_0_2_107,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('<stdin>',m__1983) ).
fof(c_0_3_108,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('<stdin>',m__1967) ).
fof(c_0_4_109,hypothesis,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
file('<stdin>',m__1726) ).
fof(c_0_5_110,hypothesis,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
file('<stdin>',m__1709) ).
fof(c_0_6_111,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('<stdin>',m__1766) ).
fof(c_0_7_112,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('<stdin>',m__1746) ).
fof(c_0_8_113,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('<stdin>',m__1949) ).
fof(c_0_9_114,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('<stdin>',m__1930) ).
fof(c_0_10_115,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('<stdin>',m__1911) ).
fof(c_0_11_116,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('<stdin>',m__1892) ).
fof(c_0_12_117,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('<stdin>',m__1873) ).
fof(c_0_13_118,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('<stdin>',m__1854) ).
fof(c_0_14_119,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('<stdin>',m__1837) ).
fof(c_0_15_120,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('<stdin>',m__1820) ).
fof(c_0_16_121,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('<stdin>',m__1800) ).
fof(c_0_17_122,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('<stdin>',m__1783) ).
fof(c_0_18_123,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('<stdin>',m__1678_01) ).
fof(c_0_19_124,hypothesis,
aDimensionOf0(xs) != sz00,
file('<stdin>',m__1692) ).
fof(c_0_20_125,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('<stdin>',m__1678) ).
fof(c_0_21_126,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_22_127,hypothesis,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2))) ) ) ),
c_0_1 ).
fof(c_0_23_128,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
c_0_2 ).
fof(c_0_24_129,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
c_0_3 ).
fof(c_0_25_130,hypothesis,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
c_0_4 ).
fof(c_0_26_131,hypothesis,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
c_0_5 ).
fof(c_0_27_132,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
c_0_6 ).
fof(c_0_28_133,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
c_0_7 ).
fof(c_0_29_134,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
c_0_8 ).
fof(c_0_30_135,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
c_0_9 ).
fof(c_0_31_136,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
c_0_10 ).
fof(c_0_32_137,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
c_0_11 ).
fof(c_0_33_138,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
c_0_12 ).
fof(c_0_34_139,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
c_0_13 ).
fof(c_0_35_140,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
c_0_14 ).
fof(c_0_36_141,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
c_0_15 ).
fof(c_0_37_142,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
c_0_16 ).
fof(c_0_38_143,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
c_0_17 ).
fof(c_0_39_144,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
c_0_18 ).
fof(c_0_40_145,hypothesis,
aDimensionOf0(xs) != sz00,
c_0_19 ).
fof(c_0_41_146,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
c_0_20 ).
fof(c_0_42_147,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
c_0_21 ).
fof(c_0_43_148,hypothesis,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| ~ iLess0(aDimensionOf0(X3),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X3,X4),sdtasasdt0(X3,X4)),sdtasdt0(sdtasasdt0(X3,X3),sdtasasdt0(X4,X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_44_149,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
c_0_23 ).
fof(c_0_45_150,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
c_0_24 ).
fof(c_0_46_151,hypothesis,
! [X2] :
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xq,X2) = sdtlbdtrb0(xt,X2) )
& xq = sziznziztdt0(xt) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_47_152,hypothesis,
! [X2] :
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xp,X2) = sdtlbdtrb0(xs,X2) )
& xp = sziznziztdt0(xs) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_48_153,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
c_0_27 ).
fof(c_0_49_154,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
c_0_28 ).
fof(c_0_50_155,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
c_0_29 ).
fof(c_0_51_156,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
c_0_30 ).
fof(c_0_52_157,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
c_0_31 ).
fof(c_0_53_158,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
c_0_32 ).
fof(c_0_54_159,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
c_0_33 ).
fof(c_0_55_160,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
c_0_34 ).
fof(c_0_56_161,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
c_0_35 ).
fof(c_0_57_162,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
c_0_36 ).
fof(c_0_58_163,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
c_0_37 ).
fof(c_0_59_164,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
c_0_38 ).
fof(c_0_60_165,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
c_0_39 ).
fof(c_0_61_166,hypothesis,
aDimensionOf0(xs) != sz00,
c_0_40 ).
fof(c_0_62_167,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
c_0_41 ).
cnf(c_0_63_168,negated_conjecture,
~ 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)],[c_0_42]) ).
cnf(c_0_64_169,hypothesis,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_65_170,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_66_171,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_67_172,hypothesis,
( sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_68_173,hypothesis,
( sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_69_174,hypothesis,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_70_175,hypothesis,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_71_176,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_72_177,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_73_178,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_74_179,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_75_180,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_76_181,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_77_182,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_78_183,hypothesis,
xE = sdtasasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_79_184,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_80_185,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_81_186,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_82_187,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_83_188,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_84_189,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_85_190,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_86_191,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_87_192,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_88_193,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_89_194,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_90_195,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_91_196,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_92_197,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_93_198,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_94_199,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_95_200,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_96_201,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_97_202,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_98_203,hypothesis,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_99_204,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_100_205,hypothesis,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_101_206,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_102_207,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_103_208,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
c_0_63,
[final] ).
cnf(c_0_104_209,hypothesis,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
c_0_64,
[final] ).
cnf(c_0_105_210,hypothesis,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
c_0_65,
[final] ).
cnf(c_0_106_211,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
c_0_66,
[final] ).
cnf(c_0_107_212,hypothesis,
( sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1)
| ~ aNaturalNumber0(X1) ),
c_0_67,
[final] ).
cnf(c_0_108_213,hypothesis,
( sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) ),
c_0_68,
[final] ).
cnf(c_0_109_214,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
c_0_69,
[final] ).
cnf(c_0_110_215,hypothesis,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
c_0_70,
[final] ).
cnf(c_0_111_216,hypothesis,
sdtasdt0(xR,xS) = xN,
c_0_71,
[final] ).
cnf(c_0_112_217,hypothesis,
sdtasdt0(xF,xD) = xS,
c_0_72,
[final] ).
cnf(c_0_113_218,hypothesis,
sdtasdt0(xE,xH) = xP,
c_0_73,
[final] ).
cnf(c_0_114_219,hypothesis,
sdtasdt0(xC,xG) = xR,
c_0_74,
[final] ).
cnf(c_0_115_220,hypothesis,
sdtasdt0(xA,xB) = xH,
c_0_75,
[final] ).
cnf(c_0_116_221,hypothesis,
sdtasdt0(xB,xB) = xG,
c_0_76,
[final] ).
cnf(c_0_117_222,hypothesis,
sdtasdt0(xA,xA) = xF,
c_0_77,
[final] ).
cnf(c_0_118_223,hypothesis,
sdtasasdt0(xp,xq) = xE,
c_0_78,
[final] ).
cnf(c_0_119,hypothesis,
sdtasasdt0(xq,xq) = xD,
c_0_79,
[final] ).
cnf(c_0_120,hypothesis,
sdtasasdt0(xp,xp) = xC,
c_0_80,
[final] ).
cnf(c_0_121,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
c_0_81,
[final] ).
cnf(c_0_122,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
c_0_82,
[final] ).
cnf(c_0_123,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
c_0_83,
[final] ).
cnf(c_0_124,hypothesis,
aDimensionOf0(xs) != sz00,
c_0_84,
[final] ).
cnf(c_0_125,hypothesis,
aScalar0(xN),
c_0_85,
[final] ).
cnf(c_0_126,hypothesis,
aScalar0(xS),
c_0_86,
[final] ).
cnf(c_0_127,hypothesis,
aScalar0(xP),
c_0_87,
[final] ).
cnf(c_0_128,hypothesis,
aScalar0(xR),
c_0_88,
[final] ).
cnf(c_0_129,hypothesis,
aScalar0(xH),
c_0_89,
[final] ).
cnf(c_0_130,hypothesis,
aScalar0(xG),
c_0_90,
[final] ).
cnf(c_0_131,hypothesis,
aScalar0(xF),
c_0_91,
[final] ).
cnf(c_0_132,hypothesis,
aScalar0(xE),
c_0_92,
[final] ).
cnf(c_0_133,hypothesis,
aScalar0(xD),
c_0_93,
[final] ).
cnf(c_0_134,hypothesis,
aScalar0(xC),
c_0_94,
[final] ).
cnf(c_0_135,hypothesis,
aScalar0(xB),
c_0_95,
[final] ).
cnf(c_0_136,hypothesis,
aScalar0(xA),
c_0_96,
[final] ).
cnf(c_0_137,hypothesis,
aVector0(xq),
c_0_97,
[final] ).
cnf(c_0_138,hypothesis,
sziznziztdt0(xt) = xq,
c_0_98,
[final] ).
cnf(c_0_139,hypothesis,
aVector0(xp),
c_0_99,
[final] ).
cnf(c_0_140,hypothesis,
sziznziztdt0(xs) = xp,
c_0_100,
[final] ).
cnf(c_0_141,hypothesis,
aVector0(xs),
c_0_101,
[final] ).
cnf(c_0_142,hypothesis,
aVector0(xt),
c_0_102,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_94,plain,
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_98_4) ).
cnf(c_500,plain,
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(copy,[status(esa)],[c_94]) ).
cnf(c_342189,plain,
( sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_500]) ).
cnf(c_17,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_81_4) ).
cnf(c_423,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_125192,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_127,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_98_0) ).
cnf(c_533,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(copy,[status(esa)],[c_127]) ).
cnf(c_124970,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_124808,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_124766,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(xP) ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_128,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_97_0) ).
cnf(c_534,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(copy,[status(esa)],[c_128]) ).
cnf(c_124672,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xH) ),
inference(instantiation,[status(thm)],[c_534]) ).
cnf(c_124619,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(xC)
| ~ aScalar0(xD) ),
inference(instantiation,[status(thm)],[c_534]) ).
cnf(c_124618,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_124591,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(xE) ),
inference(instantiation,[status(thm)],[c_534]) ).
cnf(c_13,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_81_0) ).
cnf(c_419,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(copy,[status(esa)],[c_13]) ).
cnf(c_124558,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_419]) ).
cnf(c_143,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_105) ).
cnf(c_144,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_106) ).
cnf(c_161,plain,
aScalar0(xS),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_126) ).
cnf(c_162,plain,
aScalar0(xP),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_127) ).
cnf(c_163,plain,
aScalar0(xR),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_128) ).
cnf(c_164,plain,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_129) ).
cnf(c_167,plain,
aScalar0(xE),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_132) ).
cnf(c_168,plain,
aScalar0(xD),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_133) ).
cnf(c_169,plain,
aScalar0(xC),
file('/export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p',c_0_134) ).
cnf(c_141,negated_conjecture,
~ 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/tmp/iprover_modulo_e23c0b.p',c_0_103) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_342189,c_125192,c_124970,c_124808,c_124766,c_124672,c_124619,c_124618,c_124591,c_124558,c_143,c_144,c_161,c_162,c_163,c_164,c_167,c_168,c_169,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG076+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n021.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 : 600
% 0.13/0.34 % DateTime : Mon May 30 10:19:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41 % FOF problem with conjecture
% 0.20/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1bfba9.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_e23c0b.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_b7f653 | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.45 % --bmc1_dump_file -
% 0.20/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.45 % --bmc1_ucm_extend_mode 1
% 0.20/0.45 % --bmc1_ucm_init_mode 2
% 0.20/0.45 % --bmc1_ucm_cone_mode none
% 0.20/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.45 % --bmc1_ucm_relax_model 4
% 0.20/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.45 % --bmc1_ucm_layered_model none
% 0.20/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.45
% 0.20/0.45 % ------ AIG Options
% 0.20/0.45
% 0.20/0.45 % --aig_mode false
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation Options
% 0.20/0.45
% 0.20/0.45 % --instantiation_flag true
% 0.20/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45 % --inst_solver_per_active 750
% 0.20/0.45 % --inst_solver_calls_frac 0.5
% 0.20/0.45 % --inst_passive_queue_type priority_queues
% 0.20/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45 % --inst_passive_queues_freq [25;2]
% 0.20/0.45 % --inst_dismatching true
% 0.20/0.45 % --inst_eager_unprocessed_to_passive true
% 0.20/0.45 % --inst_prop_sim_given true
% 0.20/0.45 % --inst_prop_sim_new false
% 0.20/0.45 % --inst_orphan_elimination true
% 0.20/0.45 % --inst_learning_loop_flag true
% 0.20/0.45 % --inst_learning_start 3000
% 0.20/0.45 % --inst_learning_factor 2
% 0.20/0.45 % --inst_start_prop_sim_after_learn 3
% 0.20/0.45 % --inst_sel_renew solver
% 0.20/0.45 % --inst_lit_activity_flag true
% 0.20/0.45 % --inst_out_proof true
% 0.20/0.45
% 0.20/0.45 % ------ Resolution Options
% 0.20/0.45
% 0.20/0.45 % --resolution_flag true
% 0.20/0.45 % --res_lit_sel kbo_max
% 0.20/0.45 % --res_to_prop_solver none
% 0.20/0.45 % --res_prop_simpl_new false
% 0.20/0.45 % --res_prop_simpl_given false
% 0.20/0.45 % --res_passive_queue_type priority_queues
% 0.20/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45 % --res_passive_queues_freq [15;5]
% 0.20/0.45 % --res_forward_subs full
% 0.20/0.45 % --res_backward_subs full
% 0.20/0.45 % --res_forward_subs_resolution true
% 0.20/0.45 % --res_backward_subs_resolution true
% 0.20/0.45 % --res_orphan_elimination false
% 0.20/0.45 % --res_time_limit 1000.
% 0.20/0.45 % --res_out_proof true
% 0.20/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1bfba9.s
% 0.20/0.45 % --modulo true
% 0.20/0.45
% 0.20/0.45 % ------ Combination Options
% 0.20/0.45
% 0.20/0.45 % --comb_res_mult 1000
% 0.20/0.45 % --comb_inst_mult 300
% 0.20/0.45 % ------
% 0.20/0.45
% 0.20/0.45 % ------ Parsing...% successful
% 0.20/0.45
% 0.20/0.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.45
% 0.20/0.45 % ------ Proving...
% 0.20/0.45 % ------ Problem Properties
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % EPR false
% 0.20/0.45 % Horn false
% 0.20/0.45 % Has equality true
% 0.20/0.45
% 0.20/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % % ------ Current options:
% 0.20/0.45
% 0.20/0.45 % ------ Input Options
% 0.20/0.45
% 0.20/0.45 % --out_options all
% 0.20/0.45 % --tptp_safe_out true
% 0.20/0.45 % --problem_path ""
% 0.20/0.45 % --include_path ""
% 0.20/0.45 % --clausifier .//eprover
% 0.20/0.45 % --clausifier_options --tstp-format
% 0.20/0.45 % --stdin false
% 0.20/0.45 % --dbg_backtrace false
% 0.20/0.45 % --dbg_dump_prop_clauses false
% 0.20/0.45 % --dbg_dump_prop_clauses_file -
% 0.20/0.45 % --dbg_out_stat false
% 0.20/0.45
% 0.20/0.45 % ------ General Options
% 0.20/0.45
% 0.20/0.45 % --fof false
% 0.20/0.45 % --time_out_real 150.
% 0.20/0.45 % --time_out_prep_mult 0.2
% 0.20/0.45 % --time_out_virtual -1.
% 0.20/0.45 % --schedule none
% 0.20/0.45 % --ground_splitting input
% 0.20/0.45 % --splitting_nvd 16
% 0.20/0.45 % --non_eq_to_eq false
% 0.20/0.45 % --prep_gs_sim true
% 0.20/0.45 % --prep_unflatten false
% 0.20/0.45 % --prep_res_sim true
% 0.20/0.45 % --prep_upred true
% 0.20/0.45 % --res_sim_input true
% 0.20/0.45 % --clause_weak_htbl true
% 0.20/0.45 % --gc_record_bc_elim false
% 0.20/0.45 % --symbol_type_check false
% 0.20/0.45 % --clausify_out false
% 0.20/0.45 % --large_theory_mode false
% 0.20/0.45 % --prep_sem_filter none
% 0.20/0.45 % --prep_sem_filter_out false
% 0.20/0.45 % --preprocessed_out false
% 0.20/0.45 % --sub_typing false
% 0.20/0.45 % --brand_transform false
% 0.20/0.45 % --pure_diseq_elim true
% 0.20/0.45 % --min_unsat_core false
% 0.20/0.45 % --pred_elim true
% 0.20/0.45 % --add_important_lit false
% 0.20/0.45 % --soft_assumptions false
% 0.20/0.45 % --reset_solvers false
% 0.20/0.45 % --bc_imp_inh []
% 0.20/0.45 % --conj_cone_tolerance 1.5
% 0.20/0.45 % --prolific_symb_bound 500
% 0.20/0.45 % --lt_threshold 2000
% 0.20/0.45
% 0.20/0.45 % ------ SAT Options
% 0.20/0.45
% 0.20/0.45 % --sat_mode false
% 0.20/0.45 % --sat_fm_restart_options ""
% 0.20/0.45 % --sat_gr_def false
% 0.20/0.45 % --sat_epr_types true
% 0.20/0.45 % --sat_non_cyclic_types false
% 0.20/0.45 % --sat_finite_models false
% 0.20/0.45 % --sat_fm_lemmas false
% 0.20/0.45 % --sat_fm_prep false
% 0.20/0.45 % --sat_fm_uc_incr true
% 0.20/0.45 % --sat_out_model small
% 0.20/0.45 % --sat_out_clauses false
% 0.20/0.45
% 0.20/0.45 % ------ QBF Options
% 0.20/0.45
% 0.20/0.45 % --qbf_mode false
% 0.20/0.45 % --qbf_elim_univ true
% 0.20/0.45 % --qbf_sk_in true
% 0.20/0.45 % --qbf_pred_elim true
% 0.20/0.45 % --qbf_split 32
% 0.20/0.45
% 0.20/0.45 % ------ BMC1 Options
% 0.20/0.45
% 0.20/0.45 % --bmc1_incremental false
% 0.20/0.45 % --bmc1_axioms reachable_all
% 0.20/0.45 % --bmc1_min_bound 0
% 0.20/0.45 % --bmc1_max_bound -1
% 0.20/0.45 % --bmc1_max_bound_default -1
% 0.20/0.45 % --bmc1_symbol_reachability true
% 0.20/0.45 % --bmc1_property_lemmas false
% 0.20/0.45 % --bmc1_k_induction false
% 0.20/0.45 % --bmc1_non_equiv_states false
% 0.20/0.45 % --bmc1_deadlock false
% 0.20/0.45 % --bmc1_ucm false
% 0.20/0.45 % --bmc1_add_unsat_core none
% 0.20/0.45 % --bmc1_unsat_core_children false
% 0.20/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.45 % --bmc1_out_stat full
% 0.20/0.45 % --bmc1_ground_init false
% 0.20/0.45 % --bmc1_pre_inst_next_state false
% 0.20/0.45 % --bmc1_pre_inst_state false
% 0.20/0.45 % --bmc1_pre_inst_reach_state false
% 0.20/0.45 % --bmc1_out_unsat_core false
% 0.20/0.45 % --bmc1_aig_witness_out false
% 0.20/0.45 % --bmc1_verbose false
% 0.20/0.45 % --bmc1_dump_clauses_tptp false
% 0.20/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.45 % --bmc1_dump_file -
% 0.20/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.45 % --bmc1_ucm_extend_mode 1
% 0.20/0.45 % --bmc1_ucm_init_mode 2
% 0.20/0.45 % --bmc1_ucm_cone_mode none
% 0.20/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.45 % --bmc1_ucm_relax_model 4
% 0.20/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.45 % --bmc1_ucm_layered_model none
% 0.20/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.45
% 0.20/0.45 % ------ AIG Options
% 0.20/0.45
% 0.20/0.45 % --aig_mode false
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation Options
% 0.20/0.45
% 0.20/0.45 % --instantiation_flag true
% 0.20/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45 % --inst_solver_per_active 750
% 0.20/0.45 % --inst_solver_calls_frac 0.5
% 0.20/0.45 % --inst_passive_queue_type priority_queues
% 0.20/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45 % --inst_passive_queues_freq [25;2]
% 0.20/0.45 % --inst_dismatching true
% 0.20/0.45 % --inst_eager_unprocessed_to_passive true
% 34.71/34.89 % --inst_prop_sim_given true
% 34.71/34.89 % --inst_prop_sim_new false
% 34.71/34.89 % --inst_orphan_elimination true
% 34.71/34.89 % --inst_learning_loop_flag true
% 34.71/34.89 % --inst_learning_start 3000
% 34.71/34.89 % --inst_learning_factor 2
% 34.71/34.89 % --inst_start_prop_sim_after_learn 3
% 34.71/34.89 % --inst_sel_renew solver
% 34.71/34.89 % --inst_lit_activity_flag true
% 34.71/34.89 % --inst_out_proof true
% 34.71/34.89
% 34.71/34.89 % ------ Resolution Options
% 34.71/34.89
% 34.71/34.89 % --resolution_flag true
% 34.71/34.89 % --res_lit_sel kbo_max
% 34.71/34.89 % --res_to_prop_solver none
% 34.71/34.89 % --res_prop_simpl_new false
% 34.71/34.89 % --res_prop_simpl_given false
% 34.71/34.89 % --res_passive_queue_type priority_queues
% 34.71/34.89 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 34.71/34.89 % --res_passive_queues_freq [15;5]
% 34.71/34.89 % --res_forward_subs full
% 34.71/34.89 % --res_backward_subs full
% 34.71/34.89 % --res_forward_subs_resolution true
% 34.71/34.89 % --res_backward_subs_resolution true
% 34.71/34.89 % --res_orphan_elimination false
% 34.71/34.89 % --res_time_limit 1000.
% 34.71/34.89 % --res_out_proof true
% 34.71/34.89 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_1bfba9.s
% 34.71/34.89 % --modulo true
% 34.71/34.89
% 34.71/34.89 % ------ Combination Options
% 34.71/34.89
% 34.71/34.89 % --comb_res_mult 1000
% 34.71/34.89 % --comb_inst_mult 300
% 34.71/34.89 % ------
% 34.71/34.89
% 34.71/34.89
% 34.71/34.89
% 34.71/34.89 % ------ Proving...
% 34.71/34.89 %
% 34.71/34.89
% 34.71/34.89
% 34.71/34.89 % ------ Statistics
% 34.71/34.89
% 34.71/34.89 % ------ General
% 34.71/34.89
% 34.71/34.89 % num_of_input_clauses: 178
% 34.71/34.89 % num_of_input_neg_conjectures: 1
% 34.71/34.89 % num_of_splits: 0
% 34.71/34.89 % num_of_split_atoms: 0
% 34.71/34.89 % num_of_sem_filtered_clauses: 0
% 34.71/34.89 % num_of_subtypes: 0
% 34.71/34.89 % monotx_restored_types: 0
% 34.71/34.89 % sat_num_of_epr_types: 0
% 34.71/34.89 % sat_num_of_non_cyclic_types: 0
% 34.71/34.89 % sat_guarded_non_collapsed_types: 0
% 34.71/34.89 % is_epr: 0
% 34.71/34.89 % is_horn: 0
% 34.71/34.89 % has_eq: 1
% 34.71/34.89 % num_pure_diseq_elim: 0
% 34.71/34.89 % simp_replaced_by: 0
% 34.71/34.89 % res_preprocessed: 41
% 34.71/34.89 % prep_upred: 0
% 34.71/34.89 % prep_unflattend: 0
% 34.71/34.89 % pred_elim_cands: 4
% 34.71/34.89 % pred_elim: 4
% 34.71/34.89 % pred_elim_cl: 19
% 34.71/34.89 % pred_elim_cycles: 5
% 34.71/34.89 % forced_gc_time: 0
% 34.71/34.89 % gc_basic_clause_elim: 0
% 34.71/34.89 % parsing_time: 0.007
% 34.71/34.89 % sem_filter_time: 0.
% 34.71/34.89 % pred_elim_time: 0.
% 34.71/34.89 % out_proof_time: 0.
% 34.71/34.89 % monotx_time: 0.
% 34.71/34.89 % subtype_inf_time: 0.
% 34.71/34.89 % unif_index_cands_time: 0.04
% 34.71/34.89 % unif_index_add_time: 0.006
% 34.71/34.89 % total_time: 34.472
% 34.71/34.89 % num_of_symbols: 58
% 34.71/34.89 % num_of_terms: 42566
% 34.71/34.89
% 34.71/34.89 % ------ Propositional Solver
% 34.71/34.89
% 34.71/34.89 % prop_solver_calls: 10
% 34.71/34.89 % prop_fast_solver_calls: 93
% 34.71/34.89 % prop_num_of_clauses: 534
% 34.71/34.89 % prop_preprocess_simplified: 1368
% 34.71/34.89 % prop_fo_subsumed: 0
% 34.71/34.89 % prop_solver_time: 0.
% 34.71/34.89 % prop_fast_solver_time: 0.
% 34.71/34.89 % prop_unsat_core_time: 0.
% 34.71/34.89
% 34.71/34.89 % ------ QBF
% 34.71/34.89
% 34.71/34.89 % qbf_q_res: 0
% 34.71/34.89 % qbf_num_tautologies: 0
% 34.71/34.89 % qbf_prep_cycles: 0
% 34.71/34.89
% 34.71/34.89 % ------ BMC1
% 34.71/34.89
% 34.71/34.89 % bmc1_current_bound: -1
% 34.71/34.89 % bmc1_last_solved_bound: -1
% 34.71/34.89 % bmc1_unsat_core_size: -1
% 34.71/34.89 % bmc1_unsat_core_parents_size: -1
% 34.71/34.89 % bmc1_merge_next_fun: 0
% 34.71/34.89 % bmc1_unsat_core_clauses_time: 0.
% 34.71/34.89
% 34.71/34.89 % ------ Instantiation
% 34.71/34.89
% 34.71/34.89 % inst_num_of_clauses: 511
% 34.71/34.89 % inst_num_in_passive: 145
% 34.71/34.89 % inst_num_in_active: 363
% 34.71/34.89 % inst_num_in_unprocessed: 1
% 34.71/34.89 % inst_num_of_loops: 384
% 34.71/34.89 % inst_num_of_learning_restarts: 0
% 34.71/34.89 % inst_num_moves_active_passive: 13
% 34.71/34.89 % inst_lit_activity: 202
% 34.71/34.89 % inst_lit_activity_moves: 0
% 34.71/34.89 % inst_num_tautologies: 0
% 34.71/34.89 % inst_num_prop_implied: 0
% 34.71/34.89 % inst_num_existing_simplified: 0
% 34.71/34.89 % inst_num_eq_res_simplified: 0
% 34.71/34.89 % inst_num_child_elim: 0
% 34.71/34.89 % inst_num_of_dismatching_blockings: 1
% 34.71/34.89 % inst_num_of_non_proper_insts: 114
% 34.71/34.89 % inst_num_of_duplicates: 717
% 34.71/34.89 % inst_inst_num_from_inst_to_res: 0
% 34.71/34.89 % inst_dismatching_checking_time: 0.
% 34.71/34.89
% 34.71/34.89 % ------ Resolution
% 34.71/34.89
% 34.71/34.89 % res_num_of_clauses: 134752
% 34.71/34.89 % res_num_in_passive: 133294
% 34.71/34.89 % res_num_in_active: 1375
% 34.71/34.89 % res_num_of_loops: 2000
% 34.71/34.89 % res_forward_subset_subsumed: 13363
% 34.71/34.89 % res_backward_subset_subsumed: 34
% 34.71/34.89 % res_forward_subsumed: 659
% 34.71/34.89 % res_backward_subsumed: 15
% 34.71/34.89 % res_forward_subsumption_resolution: 1828
% 34.71/34.89 % res_backward_subsumption_resolution: 0
% 34.71/34.89 % res_clause_to_clause_subsumption: 335980
% 34.71/34.89 % res_orphan_elimination: 0
% 34.71/34.89 % res_tautology_del: 321
% 34.71/34.89 % res_num_eq_res_simplified: 0
% 34.71/34.89 % res_num_sel_changes: 0
% 34.71/34.89 % res_moves_from_active_to_pass: 0
% 34.71/34.89
% 34.71/34.89 % Status Unsatisfiable
% 34.71/34.89 % SZS status Theorem
% 34.71/34.89 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------