TSTP Solution File: NUM472+2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM472+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 10:57:48 EDT 2022
% Result : Theorem 0.38s 0.62s
% Output : CNFRefutation 0.38s
% 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(mLENTr,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ) ),
input ).
fof(mLENTr_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ),
inference(orientation,[status(thm)],[mLENTr]) ).
fof(mLERefl,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> sdtlseqdt0(W0,W0) ),
input ).
fof(mLERefl_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| sdtlseqdt0(W0,W0) ),
inference(orientation,[status(thm)],[mLERefl]) ).
fof(mMulCanc,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( W0 != sz00
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
=> W1 = W2 ) ) ) ),
input ).
fof(mMulCanc_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( W0 != sz00
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
=> W1 = W2 ) ) ) ),
inference(orientation,[status(thm)],[mMulCanc]) ).
fof(m_MulZero,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
input ).
fof(m_MulZero_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[m_MulZero]) ).
fof(m_MulUnit,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
input ).
fof(m_MulUnit_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(orientation,[status(thm)],[m_MulUnit]) ).
fof(mMulAsso,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
input ).
fof(mMulAsso_0,plain,
! [W0,W1,W2] :
( sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(orientation,[status(thm)],[mMulAsso]) ).
fof(mMulComm,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
input ).
fof(mMulComm_0,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mMulComm]) ).
fof(m_AddZero,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
input ).
fof(m_AddZero_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[m_AddZero]) ).
fof(mAddAsso,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
input ).
fof(mAddAsso_0,plain,
! [W0,W1,W2] :
( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(orientation,[status(thm)],[mAddAsso]) ).
fof(mAddComm,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
input ).
fof(mAddComm_0,plain,
! [W0,W1] :
( sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mAddComm]) ).
fof(mSortsB_02,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
input ).
fof(mSortsB_02_0,plain,
! [W0,W1] :
( aNaturalNumber0(sdtasdt0(W0,W1))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mSortsB_02]) ).
fof(mSortsB,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
input ).
fof(mSortsB_0,plain,
! [W0,W1] :
( aNaturalNumber0(sdtpldt0(W0,W1))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mSortsB]) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
input ).
fof(mSortsC_01_0,plain,
( aNaturalNumber0(sz10)
| $false ),
inference(orientation,[status(thm)],[mSortsC_01]) ).
fof(mSortsC_01_1,plain,
( sz10 != sz00
| $false ),
inference(orientation,[status(thm)],[mSortsC_01]) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
input ).
fof(mSortsC_0,plain,
( aNaturalNumber0(sz00)
| $false ),
inference(orientation,[status(thm)],[mSortsC]) ).
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)],[mSortsC_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> sz10 != sz00 ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[mSortsC_01_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> aNaturalNumber0(sz10) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[mSortsC_01_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [W1,W0] :
( lhs_atom5(W1,W0)
<=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [W0,W1] :
( lhs_atom5(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mSortsB_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [W1,W0] :
( lhs_atom6(W1,W0)
<=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [W0,W1] :
( lhs_atom6(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mSortsB_02_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [W1,W0] :
( lhs_atom7(W1,W0)
<=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [W0,W1] :
( lhs_atom7(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mAddComm_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [W2,W1,W0] :
( lhs_atom8(W2,W1,W0)
<=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [W0,W1,W2] :
( lhs_atom8(W2,W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(fold_definition,[status(thm)],[mAddAsso_0,def_lhs_atom8]) ).
fof(to_be_clausified_8,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[m_AddZero_0,def_lhs_atom1]) ).
fof(def_lhs_atom9,axiom,
! [W1,W0] :
( lhs_atom9(W1,W0)
<=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [W0,W1] :
( lhs_atom9(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mMulComm_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [W2,W1,W0] :
( lhs_atom10(W2,W1,W0)
<=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [W0,W1,W2] :
( lhs_atom10(W2,W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(fold_definition,[status(thm)],[mMulAsso_0,def_lhs_atom10]) ).
fof(to_be_clausified_11,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(fold_definition,[status(thm)],[m_MulUnit_0,def_lhs_atom1]) ).
fof(to_be_clausified_12,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[m_MulZero_0,def_lhs_atom1]) ).
fof(to_be_clausified_13,plain,
! [W0] :
( lhs_atom1(W0)
| ( W0 != sz00
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
=> W1 = W2 ) ) ) ),
inference(fold_definition,[status(thm)],[mMulCanc_0,def_lhs_atom1]) ).
fof(to_be_clausified_14,plain,
! [W0] :
( lhs_atom1(W0)
| sdtlseqdt0(W0,W0) ),
inference(fold_definition,[status(thm)],[mLERefl_0,def_lhs_atom1]) ).
fof(to_be_clausified_15,plain,
! [W0] :
( lhs_atom1(W0)
| W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ),
inference(fold_definition,[status(thm)],[mLENTr_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X2,X1] :
( lhs_atom10(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_1,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom1(X1)
| ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_3,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_4,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_5,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_6,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_7,axiom,
! [X1] :
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom1(X1)
| sdtlseqdt0(X1,X1) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_12,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_13,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_14,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_15,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_16,axiom,
! [X3,X2,X1] :
( lhs_atom10(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
c_0_0 ).
fof(c_0_17,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
c_0_1 ).
fof(c_0_18,axiom,
! [X1] :
( lhs_atom1(X1)
| ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
c_0_2 ).
fof(c_0_19,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_3 ).
fof(c_0_20,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_4 ).
fof(c_0_21,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_5 ).
fof(c_0_22,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_6 ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ),
c_0_7 ).
fof(c_0_24,axiom,
! [X1] :
( lhs_atom1(X1)
| sdtlseqdt0(X1,X1) ),
c_0_8 ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
c_0_9 ).
fof(c_0_26,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
c_0_10 ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
c_0_11 ).
fof(c_0_28,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_29,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_30,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_31,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( lhs_atom10(X4,X5,X6)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_33,plain,
! [X4,X5,X6] :
( lhs_atom8(X4,X5,X6)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_34,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| lhs_atom1(X4) )
& ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| lhs_atom1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_35,plain,
! [X3,X4] :
( lhs_atom9(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_36,plain,
! [X3,X4] :
( lhs_atom7(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
fof(c_0_37,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_38,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_39,plain,
! [X2] :
( ( sz10 != X2
| X2 = sz10
| X2 = sz00
| lhs_atom1(X2) )
& ( sdtlseqdt0(sz10,X2)
| X2 = sz10
| X2 = sz00
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_23])]) ).
fof(c_0_40,plain,
! [X2] :
( lhs_atom1(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_41,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| lhs_atom1(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).
fof(c_0_42,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| lhs_atom1(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
fof(c_0_43,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| lhs_atom1(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_44,plain,
lhs_atom4,
c_0_28 ).
fof(c_0_45,plain,
lhs_atom3,
c_0_29 ).
fof(c_0_46,plain,
lhs_atom2,
c_0_30 ).
fof(c_0_47,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_31]) ).
cnf(c_0_48,plain,
( lhs_atom10(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,plain,
( lhs_atom8(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_50,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_51,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
( lhs_atom9(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
( lhs_atom7(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( lhs_atom6(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,plain,
( lhs_atom5(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_57,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_58,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_59,plain,
( lhs_atom1(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_60,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_61,plain,
( lhs_atom1(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_62,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,plain,
( lhs_atom1(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_64,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sz10 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_65,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_66,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_67,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_68,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_69,plain,
( lhs_atom10(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_48,
[final] ).
cnf(c_0_70,plain,
( lhs_atom8(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_49,
[final] ).
cnf(c_0_71,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
c_0_50,
[final] ).
cnf(c_0_72,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
c_0_51,
[final] ).
cnf(c_0_73,plain,
( lhs_atom9(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_52,
[final] ).
cnf(c_0_74,plain,
( lhs_atom7(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_53,
[final] ).
cnf(c_0_75,plain,
( lhs_atom6(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_54,
[final] ).
cnf(c_0_76,plain,
( lhs_atom5(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_55,
[final] ).
cnf(c_0_77,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1) ),
c_0_56,
[final] ).
cnf(c_0_78,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom1(X1) ),
c_0_57,
[final] ).
cnf(c_0_79,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
c_0_58,
[final] ).
cnf(c_0_80,plain,
( lhs_atom1(X1)
| sdtasdt0(sz10,X1) = X1 ),
c_0_59,
[final] ).
cnf(c_0_81,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
c_0_60,
[final] ).
cnf(c_0_82,plain,
( lhs_atom1(X1)
| sdtpldt0(sz00,X1) = X1 ),
c_0_61,
[final] ).
cnf(c_0_83,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
c_0_62,
[final] ).
cnf(c_0_84,plain,
( lhs_atom1(X1)
| sdtasdt0(sz00,X1) = sz00 ),
c_0_63,
[final] ).
cnf(c_0_85,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sz10 != X1 ),
c_0_64,
[final] ).
cnf(c_0_86,plain,
lhs_atom4,
c_0_65,
[final] ).
cnf(c_0_87,plain,
lhs_atom3,
c_0_66,
[final] ).
cnf(c_0_88,plain,
lhs_atom2,
c_0_67,
[final] ).
cnf(c_0_89,plain,
$true,
c_0_68,
[final] ).
% End CNF derivation
cnf(c_0_69_0,axiom,
( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_69,def_lhs_atom10]) ).
cnf(c_0_70_0,axiom,
( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_70,def_lhs_atom8]) ).
cnf(c_0_71_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_71,def_lhs_atom1]) ).
cnf(c_0_72_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_72,def_lhs_atom1]) ).
cnf(c_0_73_0,axiom,
( sdtasdt0(X2,X1) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_73,def_lhs_atom9]) ).
cnf(c_0_74_0,axiom,
( sdtpldt0(X2,X1) = sdtpldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_74,def_lhs_atom7]) ).
cnf(c_0_75_0,axiom,
( aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_75,def_lhs_atom6]) ).
cnf(c_0_76_0,axiom,
( aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_76,def_lhs_atom5]) ).
cnf(c_0_77_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1) ),
inference(unfold_definition,[status(thm)],[c_0_77,def_lhs_atom1]) ).
cnf(c_0_78_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(unfold_definition,[status(thm)],[c_0_78,def_lhs_atom1]) ).
cnf(c_0_79_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_79,def_lhs_atom1]) ).
cnf(c_0_80_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz10,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_80,def_lhs_atom1]) ).
cnf(c_0_81_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_81,def_lhs_atom1]) ).
cnf(c_0_82_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sz00,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_82,def_lhs_atom1]) ).
cnf(c_0_83_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_83,def_lhs_atom1]) ).
cnf(c_0_84_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz00,X1) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_84,def_lhs_atom1]) ).
cnf(c_0_85_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X1 = sz10
| sz10 != X1 ),
inference(unfold_definition,[status(thm)],[c_0_85,def_lhs_atom1]) ).
cnf(c_0_86_0,axiom,
aNaturalNumber0(sz10),
inference(unfold_definition,[status(thm)],[c_0_86,def_lhs_atom4]) ).
cnf(c_0_87_0,axiom,
sz10 != sz00,
inference(unfold_definition,[status(thm)],[c_0_87,def_lhs_atom3]) ).
cnf(c_0_88_0,axiom,
aNaturalNumber0(sz00),
inference(unfold_definition,[status(thm)],[c_0_88,def_lhs_atom2]) ).
cnf(c_0_89_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_89,def_true]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('<stdin>',mAMDistr) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('<stdin>',mMonMul) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)) ) ) ) ),
file('<stdin>',mMonAdd) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,X3) )
=> doDivides0(X1,sdtpldt0(X2,X3)) ) ),
file('<stdin>',mDivSum) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('<stdin>',mDefQuot) ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('<stdin>',mDefDiff) ).
fof(c_0_6_007,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('<stdin>',mLETran) ).
fof(c_0_7_008,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('<stdin>',mDivTrans) ).
fof(c_0_8_009,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('<stdin>',mDefLE) ).
fof(c_0_9_010,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('<stdin>',mDefDiv) ).
fof(c_0_10_011,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
file('<stdin>',mAddCanc) ).
fof(c_0_11_012,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('<stdin>',mLEAsym) ).
fof(c_0_12_013,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('<stdin>',mMonMul2) ).
fof(c_0_13_014,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('<stdin>',mIH_03) ).
fof(c_0_14_015,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('<stdin>',mLETotal) ).
fof(c_0_15_016,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('<stdin>',mZeroMul) ).
fof(c_0_16_017,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('<stdin>',mZeroAdd) ).
fof(c_0_17_018,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mIH) ).
fof(c_0_18_019,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
c_0_0 ).
fof(c_0_19_020,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
c_0_1 ).
fof(c_0_20_021,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)) ) ) ) ),
c_0_2 ).
fof(c_0_21_022,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,X3) )
=> doDivides0(X1,sdtpldt0(X2,X3)) ) ),
c_0_3 ).
fof(c_0_22_023,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
c_0_4 ).
fof(c_0_23_024,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
c_0_5 ).
fof(c_0_24_025,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
c_0_6 ).
fof(c_0_25_026,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
c_0_7 ).
fof(c_0_26_027,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
c_0_8 ).
fof(c_0_27_028,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
c_0_9 ).
fof(c_0_28_029,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
c_0_10 ).
fof(c_0_29_030,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
c_0_11 ).
fof(c_0_30_031,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
c_0_12 ).
fof(c_0_31_032,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
c_0_13 ).
fof(c_0_32_033,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
c_0_14 ).
fof(c_0_33_034,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
c_0_15 ).
fof(c_0_34_035,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
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,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_37_038,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_38_039,plain,
! [X4,X5,X6] :
( ( sdtpldt0(X6,X4) != sdtpldt0(X6,X5)
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5))
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,X6) != sdtpldt0(X5,X6)
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6))
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_39_040,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X4,X6)
| doDivides0(X4,sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_40_041,plain,
! [X4,X5,X6,X7] :
( ( aNaturalNumber0(X6)
| X6 != sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,X6)
| X6 != sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| X5 != sdtasdt0(X4,X7)
| X7 = sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).
fof(c_0_41_042,plain,
! [X4,X5,X6,X7] :
( ( aNaturalNumber0(X6)
| X6 != sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,X6) = X5
| X6 != sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| sdtpldt0(X4,X7) != X5
| X7 = sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).
fof(c_0_42_043,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_43_044,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_44_045,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk2_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,esk2_2(X4,X5)) = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| sdtpldt0(X4,X7) != X5
| sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
fof(c_0_45_046,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| X5 != sdtasdt0(X4,X7)
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).
fof(c_0_46_047,plain,
! [X4,X5,X6] :
( ( sdtpldt0(X4,X5) != sdtpldt0(X4,X6)
| X5 = X6
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtpldt0(X5,X4) != sdtpldt0(X6,X4)
| X5 = X6
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_47_048,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_48_049,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| X3 = sz00
| sdtlseqdt0(X4,sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_49_050,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| X3 = X4
| ~ sdtlseqdt0(X3,X4)
| iLess0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_50_051,plain,
! [X3,X4] :
( ( X4 != X3
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( sdtlseqdt0(X4,X3)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_51_052,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X4) != sz00
| X3 = sz00
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_52_053,plain,
! [X3,X4] :
( ( X3 = sz00
| sdtpldt0(X3,X4) != sz00
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( X4 = sz00
| sdtpldt0(X3,X4) != sz00
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[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,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55_056,plain,
( sdtasdt0(sdtpldt0(X2,X1),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_56_057,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_57_058,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_58_059,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_59_060,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_60_061,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_61_062,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_62_063,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63_064,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_64_065,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_65_066,plain,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_66_067,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_67_068,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_68_069,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_69_070,plain,
( sdtpldt0(X2,esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_70_071,plain,
( X1 = sdtasdt0(X2,esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_71_072,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_72_073,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_73_074,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_74_075,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_75_076,plain,
( aNaturalNumber0(esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_76_077,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_77_078,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_78_079,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_79_080,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_80_081,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_81_082,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_82_083,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_83_084,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_84_085,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_85_086,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_86_087,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_87_088,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_88_089,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_89_090,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_90,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_54,
[final] ).
cnf(c_0_91,plain,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_55,
[final] ).
cnf(c_0_92,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
c_0_56,
[final] ).
cnf(c_0_93,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
c_0_57,
[final] ).
cnf(c_0_94,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
c_0_58,
[final] ).
cnf(c_0_95,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
c_0_59,
[final] ).
cnf(c_0_96,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_60,
[final] ).
cnf(c_0_97,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
c_0_61,
[final] ).
cnf(c_0_98,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
c_0_62,
[final] ).
cnf(c_0_99,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
c_0_63,
[final] ).
cnf(c_0_100,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
c_0_64,
[final] ).
cnf(c_0_101,plain,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
c_0_65,
[final] ).
cnf(c_0_102,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_66,
[final] ).
cnf(c_0_103,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_67,
[final] ).
cnf(c_0_104,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_68,
[final] ).
cnf(c_0_105,plain,
( sdtpldt0(X2,esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_69,
[final] ).
cnf(c_0_106,plain,
( sdtasdt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
c_0_70,
[final] ).
cnf(c_0_107,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
c_0_71,
[final] ).
cnf(c_0_108,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_72,
[final] ).
cnf(c_0_109,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
c_0_73,
[final] ).
cnf(c_0_110,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
c_0_74,
[final] ).
cnf(c_0_111,plain,
( aNaturalNumber0(esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_75,
[final] ).
cnf(c_0_112,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
c_0_76,
[final] ).
cnf(c_0_113,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
c_0_77,
[final] ).
cnf(c_0_114,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_78,
[final] ).
cnf(c_0_115,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_79,
[final] ).
cnf(c_0_116,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_80,
[final] ).
cnf(c_0_117,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
c_0_81,
[final] ).
cnf(c_0_118,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_82,
[final] ).
cnf(c_0_119,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_83,
[final] ).
cnf(c_0_120,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_84,
[final] ).
cnf(c_0_121,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_85,
[final] ).
cnf(c_0_122,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_86,
[final] ).
cnf(c_0_123,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_87,
[final] ).
cnf(c_0_124,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
c_0_88,
[final] ).
cnf(c_0_125,plain,
$true,
c_0_89,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_90_0,axiom,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( X3 = sz00
| X2 = X1
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_2,axiom,
( sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_6,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( X3 = sz00
| X2 = X1
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_6,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_4,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_4,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_1,axiom,
( ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_0,axiom,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_5,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_6,axiom,
( sdtasdt0(X3,X2) != sdtasdt0(X3,X1)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_5,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_6,axiom,
( sdtasdt0(X2,X3) != sdtasdt0(X1,X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_5,axiom,
( sdtpldt0(X3,X2) != sdtpldt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_5,axiom,
( sdtpldt0(X2,X3) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_0,axiom,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_4,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_5,axiom,
( X1 != sdtasdt0(X2,X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_6,axiom,
( ~ aNaturalNumber0(X3)
| X1 != sdtasdt0(X2,X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_0,axiom,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_1,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_4,axiom,
( sdtpldt0(X2,X3) != X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_5,axiom,
( ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_1,axiom,
( ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_2,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( sdtpldt0(X2,sk2_esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk2_2(X2,X1)) = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk2_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( sdtasdt0(X2,sk2_esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk2_esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk2_esk1_2(X2,X1)) = X1
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_3,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk2_esk1_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_1,axiom,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_4,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_5,axiom,
( X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_4,axiom,
( sdtpldt0(X3,X2) != sdtpldt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_4,axiom,
( sdtpldt0(X2,X3) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( aNaturalNumber0(sk2_esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk2_2(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk2_2(X2,X1))
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk2_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( aNaturalNumber0(sk2_esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_2(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_2(X2,X1))
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( aNaturalNumber0(X3)
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_4,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_5,axiom,
( X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_3,axiom,
( sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_4,axiom,
( ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_3,axiom,
( X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_4,axiom,
( ~ aNaturalNumber0(X3)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_2,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( X1 = X2
| iLess0(X1,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_2,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( X2 = sz00
| X1 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_3,axiom,
( X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_125]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_091,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
file('<stdin>',m__) ).
fof(c_0_1_092,hypothesis,
( aNaturalNumber0(xq)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
file('<stdin>',m__1379) ).
fof(c_0_2_093,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xl,X1) )
& doDivides0(xl,xm)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('<stdin>',m__1324_04) ).
fof(c_0_3_094,hypothesis,
( aNaturalNumber0(xp)
& xm = sdtasdt0(xl,xp)
& xp = sdtsldt0(xm,xl) ),
file('<stdin>',m__1360) ).
fof(c_0_4_095,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('<stdin>',m__1324) ).
fof(c_0_5_096,hypothesis,
xl != sz00,
file('<stdin>',m__1347) ).
fof(c_0_6_097,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_7_098,hypothesis,
( aNaturalNumber0(xq)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
c_0_1 ).
fof(c_0_8_099,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xl,X1) )
& doDivides0(xl,xm)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
c_0_2 ).
fof(c_0_9_100,hypothesis,
( aNaturalNumber0(xp)
& xm = sdtasdt0(xl,xp)
& xp = sdtsldt0(xm,xl) ),
c_0_3 ).
fof(c_0_10_101,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
c_0_4 ).
fof(c_0_11_102,hypothesis,
xl != sz00,
c_0_5 ).
fof(c_0_12_103,negated_conjecture,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| sdtpldt0(xm,X2) != sdtpldt0(xm,xn) )
& ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_13_104,hypothesis,
( aNaturalNumber0(xq)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
c_0_7 ).
fof(c_0_14_105,hypothesis,
( aNaturalNumber0(esk1_0)
& xm = sdtasdt0(xl,esk1_0)
& doDivides0(xl,xm)
& aNaturalNumber0(esk2_0)
& sdtpldt0(xm,xn) = sdtasdt0(xl,esk2_0)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])]) ).
fof(c_0_15_106,hypothesis,
( aNaturalNumber0(xp)
& xm = sdtasdt0(xl,xp)
& xp = sdtsldt0(xm,xl) ),
c_0_9 ).
fof(c_0_16_107,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
c_0_10 ).
fof(c_0_17_108,hypothesis,
xl != sz00,
c_0_11 ).
cnf(c_0_18_109,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19_110,negated_conjecture,
( sdtpldt0(xm,X1) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20_111,hypothesis,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21_112,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22_113,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23_114,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24_115,hypothesis,
xm = sdtasdt0(xl,xp),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25_116,hypothesis,
xp = sdtsldt0(xm,xl),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26_117,hypothesis,
xm = sdtasdt0(xl,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27_118,hypothesis,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28_119,hypothesis,
aNaturalNumber0(xq),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_29_120,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30_121,hypothesis,
aNaturalNumber0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31_122,hypothesis,
aNaturalNumber0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32_123,hypothesis,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33_124,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34_125,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_35_126,hypothesis,
xl != sz00,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36_127,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
c_0_18,
[final] ).
cnf(c_0_37_128,negated_conjecture,
( sdtpldt0(xm,X1) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X1) ),
c_0_19,
[final] ).
cnf(c_0_38_129,hypothesis,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
c_0_20,
[final] ).
cnf(c_0_39_130,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
c_0_21,
[final] ).
cnf(c_0_40_131,hypothesis,
sdtasdt0(xl,xq) = sdtpldt0(xm,xn),
c_0_22,
[final] ).
cnf(c_0_41_132,hypothesis,
sdtasdt0(xl,esk2_0) = sdtpldt0(xm,xn),
c_0_23,
[final] ).
cnf(c_0_42_133,hypothesis,
sdtasdt0(xl,xp) = xm,
c_0_24,
[final] ).
cnf(c_0_43_134,hypothesis,
sdtsldt0(xm,xl) = xp,
c_0_25,
[final] ).
cnf(c_0_44_135,hypothesis,
sdtasdt0(xl,esk1_0) = xm,
c_0_26,
[final] ).
cnf(c_0_45_136,hypothesis,
doDivides0(xl,xm),
c_0_27,
[final] ).
cnf(c_0_46_137,hypothesis,
aNaturalNumber0(xq),
c_0_28,
[final] ).
cnf(c_0_47_138,hypothesis,
aNaturalNumber0(xp),
c_0_29,
[final] ).
cnf(c_0_48_139,hypothesis,
aNaturalNumber0(esk1_0),
c_0_30,
[final] ).
cnf(c_0_49_140,hypothesis,
aNaturalNumber0(esk2_0),
c_0_31,
[final] ).
cnf(c_0_50_141,hypothesis,
aNaturalNumber0(xl),
c_0_32,
[final] ).
cnf(c_0_51_142,hypothesis,
aNaturalNumber0(xm),
c_0_33,
[final] ).
cnf(c_0_52_143,hypothesis,
aNaturalNumber0(xn),
c_0_34,
[final] ).
cnf(c_0_53_144,hypothesis,
sz00 != xl,
c_0_35,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_206,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a255a.p',c_0_37) ).
cnf(c_290,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ),
inference(copy,[status(esa)],[c_206]) ).
cnf(c_298,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ),
inference(copy,[status(esa)],[c_290]) ).
cnf(c_333,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ),
inference(copy,[status(esa)],[c_298]) ).
cnf(c_334,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ),
inference(copy,[status(esa)],[c_333]) ).
cnf(c_984,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ),
inference(copy,[status(esa)],[c_334]) ).
cnf(c_110,plain,
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a255a.p',c_0_109_0) ).
cnf(c_792,plain,
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X2 ),
inference(copy,[status(esa)],[c_110]) ).
cnf(c_793,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(rewriting,[status(thm)],[c_792]) ).
cnf(c_1032,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtpldt0(xm,X0)) != sdtpldt0(X1,sdtpldt0(xm,xn)) ),
inference(resolution,[status(thm)],[c_984,c_793]) ).
cnf(c_1041,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sdtpldt0(xm,X0)) != sdtpldt0(X1,sdtpldt0(xm,xn)) ),
inference(rewriting,[status(thm)],[c_1032]) ).
cnf(c_200,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a255a.p',c_0_74_0) ).
cnf(c_972,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(copy,[status(esa)],[c_200]) ).
cnf(c_1234,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[c_1041,c_972]) ).
cnf(c_1235,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(rewriting,[status(thm)],[c_1234]) ).
cnf(c_198,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a255a.p',c_0_76_0) ).
cnf(c_968,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(copy,[status(esa)],[c_198]) ).
cnf(c_969,plain,
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rewriting,[status(thm)],[c_968]) ).
cnf(c_2060,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[c_1235,c_969]) ).
cnf(c_2061,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(rewriting,[status(thm)],[c_2060]) ).
cnf(c_223,plain,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a255a.p',c_0_52) ).
cnf(c_288,plain,
aNaturalNumber0(xn),
inference(copy,[status(esa)],[c_223]) ).
cnf(c_315,plain,
aNaturalNumber0(xn),
inference(copy,[status(esa)],[c_288]) ).
cnf(c_316,plain,
aNaturalNumber0(xn),
inference(copy,[status(esa)],[c_315]) ).
cnf(c_349,plain,
aNaturalNumber0(xn),
inference(copy,[status(esa)],[c_316]) ).
cnf(c_1014,plain,
aNaturalNumber0(xn),
inference(copy,[status(esa)],[c_349]) ).
cnf(c_222,plain,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a255a.p',c_0_51) ).
cnf(c_286,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_222]) ).
cnf(c_314,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_286]) ).
cnf(c_317,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_314]) ).
cnf(c_348,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_317]) ).
cnf(c_1012,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_348]) ).
cnf(c_5396,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2061,c_1014,c_1012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM472+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 16:03:35 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running in mono-core mode
% 0.22/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.43 % FOF problem with conjecture
% 0.22/0.43 % 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_9d46fc.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_7a255a.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a99fbb | grep -v "SZS"
% 0.22/0.46
% 0.22/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.46
% 0.22/0.46 %
% 0.22/0.46 % ------ iProver source info
% 0.22/0.46
% 0.22/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.46 % git: non_committed_changes: true
% 0.22/0.46 % git: last_make_outside_of_git: true
% 0.22/0.46
% 0.22/0.46 %
% 0.22/0.46 % ------ Input Options
% 0.22/0.46
% 0.22/0.46 % --out_options all
% 0.22/0.46 % --tptp_safe_out true
% 0.22/0.46 % --problem_path ""
% 0.22/0.46 % --include_path ""
% 0.22/0.46 % --clausifier .//eprover
% 0.22/0.46 % --clausifier_options --tstp-format
% 0.22/0.46 % --stdin false
% 0.22/0.46 % --dbg_backtrace false
% 0.22/0.46 % --dbg_dump_prop_clauses false
% 0.22/0.46 % --dbg_dump_prop_clauses_file -
% 0.22/0.46 % --dbg_out_stat false
% 0.22/0.46
% 0.22/0.46 % ------ General Options
% 0.22/0.46
% 0.22/0.46 % --fof false
% 0.22/0.46 % --time_out_real 150.
% 0.22/0.46 % --time_out_prep_mult 0.2
% 0.22/0.46 % --time_out_virtual -1.
% 0.22/0.46 % --schedule none
% 0.22/0.46 % --ground_splitting input
% 0.22/0.46 % --splitting_nvd 16
% 0.22/0.46 % --non_eq_to_eq false
% 0.22/0.46 % --prep_gs_sim true
% 0.22/0.46 % --prep_unflatten false
% 0.22/0.46 % --prep_res_sim true
% 0.22/0.46 % --prep_upred true
% 0.22/0.46 % --res_sim_input true
% 0.22/0.46 % --clause_weak_htbl true
% 0.22/0.46 % --gc_record_bc_elim false
% 0.22/0.46 % --symbol_type_check false
% 0.22/0.46 % --clausify_out false
% 0.22/0.46 % --large_theory_mode false
% 0.22/0.46 % --prep_sem_filter none
% 0.22/0.46 % --prep_sem_filter_out false
% 0.22/0.46 % --preprocessed_out false
% 0.22/0.46 % --sub_typing false
% 0.22/0.46 % --brand_transform false
% 0.22/0.46 % --pure_diseq_elim true
% 0.22/0.46 % --min_unsat_core false
% 0.22/0.46 % --pred_elim true
% 0.22/0.46 % --add_important_lit false
% 0.22/0.46 % --soft_assumptions false
% 0.22/0.46 % --reset_solvers false
% 0.22/0.46 % --bc_imp_inh []
% 0.22/0.46 % --conj_cone_tolerance 1.5
% 0.22/0.46 % --prolific_symb_bound 500
% 0.22/0.46 % --lt_threshold 2000
% 0.22/0.46
% 0.22/0.46 % ------ SAT Options
% 0.22/0.46
% 0.22/0.46 % --sat_mode false
% 0.22/0.46 % --sat_fm_restart_options ""
% 0.22/0.46 % --sat_gr_def false
% 0.22/0.46 % --sat_epr_types true
% 0.22/0.46 % --sat_non_cyclic_types false
% 0.22/0.46 % --sat_finite_models false
% 0.22/0.46 % --sat_fm_lemmas false
% 0.22/0.46 % --sat_fm_prep false
% 0.22/0.46 % --sat_fm_uc_incr true
% 0.22/0.46 % --sat_out_model small
% 0.22/0.46 % --sat_out_clauses false
% 0.22/0.46
% 0.22/0.46 % ------ QBF Options
% 0.22/0.46
% 0.22/0.46 % --qbf_mode false
% 0.22/0.46 % --qbf_elim_univ true
% 0.22/0.46 % --qbf_sk_in true
% 0.22/0.46 % --qbf_pred_elim true
% 0.22/0.46 % --qbf_split 32
% 0.22/0.46
% 0.22/0.46 % ------ BMC1 Options
% 0.22/0.46
% 0.22/0.46 % --bmc1_incremental false
% 0.22/0.46 % --bmc1_axioms reachable_all
% 0.22/0.46 % --bmc1_min_bound 0
% 0.22/0.46 % --bmc1_max_bound -1
% 0.22/0.46 % --bmc1_max_bound_default -1
% 0.22/0.46 % --bmc1_symbol_reachability true
% 0.22/0.46 % --bmc1_property_lemmas false
% 0.22/0.46 % --bmc1_k_induction false
% 0.22/0.46 % --bmc1_non_equiv_states false
% 0.22/0.46 % --bmc1_deadlock false
% 0.22/0.46 % --bmc1_ucm false
% 0.22/0.46 % --bmc1_add_unsat_core none
% 0.22/0.46 % --bmc1_unsat_core_children false
% 0.22/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.46 % --bmc1_out_stat full
% 0.22/0.46 % --bmc1_ground_init false
% 0.22/0.46 % --bmc1_pre_inst_next_state false
% 0.22/0.46 % --bmc1_pre_inst_state false
% 0.22/0.46 % --bmc1_pre_inst_reach_state false
% 0.22/0.46 % --bmc1_out_unsat_core false
% 0.22/0.46 % --bmc1_aig_witness_out false
% 0.22/0.46 % --bmc1_verbose false
% 0.22/0.46 % --bmc1_dump_clauses_tptp false
% 0.22/0.49 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.49 % --bmc1_dump_file -
% 0.22/0.49 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.49 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.49 % --bmc1_ucm_extend_mode 1
% 0.22/0.49 % --bmc1_ucm_init_mode 2
% 0.22/0.49 % --bmc1_ucm_cone_mode none
% 0.22/0.49 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.49 % --bmc1_ucm_relax_model 4
% 0.22/0.49 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.49 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.49 % --bmc1_ucm_layered_model none
% 0.22/0.49 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.49
% 0.22/0.49 % ------ AIG Options
% 0.22/0.49
% 0.22/0.49 % --aig_mode false
% 0.22/0.49
% 0.22/0.49 % ------ Instantiation Options
% 0.22/0.49
% 0.22/0.49 % --instantiation_flag true
% 0.22/0.49 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.49 % --inst_solver_per_active 750
% 0.22/0.49 % --inst_solver_calls_frac 0.5
% 0.22/0.49 % --inst_passive_queue_type priority_queues
% 0.22/0.49 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.49 % --inst_passive_queues_freq [25;2]
% 0.22/0.49 % --inst_dismatching true
% 0.22/0.49 % --inst_eager_unprocessed_to_passive true
% 0.22/0.49 % --inst_prop_sim_given true
% 0.22/0.49 % --inst_prop_sim_new false
% 0.22/0.49 % --inst_orphan_elimination true
% 0.22/0.49 % --inst_learning_loop_flag true
% 0.22/0.49 % --inst_learning_start 3000
% 0.22/0.49 % --inst_learning_factor 2
% 0.22/0.49 % --inst_start_prop_sim_after_learn 3
% 0.22/0.49 % --inst_sel_renew solver
% 0.22/0.49 % --inst_lit_activity_flag true
% 0.22/0.49 % --inst_out_proof true
% 0.22/0.49
% 0.22/0.49 % ------ Resolution Options
% 0.22/0.49
% 0.22/0.49 % --resolution_flag true
% 0.22/0.49 % --res_lit_sel kbo_max
% 0.22/0.49 % --res_to_prop_solver none
% 0.22/0.49 % --res_prop_simpl_new false
% 0.22/0.49 % --res_prop_simpl_given false
% 0.22/0.49 % --res_passive_queue_type priority_queues
% 0.22/0.49 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.49 % --res_passive_queues_freq [15;5]
% 0.22/0.49 % --res_forward_subs full
% 0.22/0.49 % --res_backward_subs full
% 0.22/0.49 % --res_forward_subs_resolution true
% 0.22/0.49 % --res_backward_subs_resolution true
% 0.22/0.49 % --res_orphan_elimination false
% 0.22/0.49 % --res_time_limit 1000.
% 0.22/0.49 % --res_out_proof true
% 0.22/0.49 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9d46fc.s
% 0.22/0.49 % --modulo true
% 0.22/0.49
% 0.22/0.49 % ------ Combination Options
% 0.22/0.49
% 0.22/0.49 % --comb_res_mult 1000
% 0.22/0.49 % --comb_inst_mult 300
% 0.22/0.49 % ------
% 0.22/0.49
% 0.22/0.49 % ------ Parsing...% successful
% 0.22/0.49
% 0.22/0.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.22/0.49
% 0.22/0.49 % ------ Proving...
% 0.22/0.49 % ------ Problem Properties
% 0.22/0.49
% 0.22/0.49 %
% 0.22/0.49 % EPR false
% 0.22/0.49 % Horn false
% 0.22/0.49 % Has equality true
% 0.22/0.49
% 0.22/0.49 % % ------ Input Options Time Limit: Unbounded
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % % ------ Current options:
% 0.22/0.49
% 0.22/0.49 % ------ Input Options
% 0.22/0.49
% 0.22/0.49 % --out_options all
% 0.22/0.49 % --tptp_safe_out true
% 0.22/0.49 % --problem_path ""
% 0.22/0.49 % --include_path ""
% 0.22/0.49 % --clausifier .//eprover
% 0.22/0.49 % --clausifier_options --tstp-format
% 0.22/0.49 % --stdin false
% 0.22/0.49 % --dbg_backtrace false
% 0.22/0.49 % --dbg_dump_prop_clauses false
% 0.22/0.49 % --dbg_dump_prop_clauses_file -
% 0.22/0.49 % --dbg_out_stat false
% 0.22/0.49
% 0.22/0.49 % ------ General Options
% 0.22/0.49
% 0.22/0.49 % --fof false
% 0.22/0.49 % --time_out_real 150.
% 0.22/0.49 % --time_out_prep_mult 0.2
% 0.22/0.49 % --time_out_virtual -1.
% 0.22/0.49 % --schedule none
% 0.22/0.49 % --ground_splitting input
% 0.22/0.49 % --splitting_nvd 16
% 0.22/0.49 % --non_eq_to_eq false
% 0.22/0.49 % --prep_gs_sim true
% 0.22/0.49 % --prep_unflatten false
% 0.22/0.49 % --prep_res_sim true
% 0.22/0.49 % --prep_upred true
% 0.22/0.49 % --res_sim_input true
% 0.22/0.49 % --clause_weak_htbl true
% 0.22/0.49 % --gc_record_bc_elim false
% 0.22/0.49 % --symbol_type_check false
% 0.22/0.49 % --clausify_out false
% 0.22/0.49 % --large_theory_mode false
% 0.22/0.49 % --prep_sem_filter none
% 0.22/0.49 % --prep_sem_filter_out false
% 0.22/0.49 % --preprocessed_out false
% 0.22/0.49 % --sub_typing false
% 0.22/0.49 % --brand_transform false
% 0.22/0.49 % --pure_diseq_elim true
% 0.22/0.49 % --min_unsat_core false
% 0.22/0.49 % --pred_elim true
% 0.22/0.49 % --add_important_lit false
% 0.22/0.49 % --soft_assumptions false
% 0.22/0.49 % --reset_solvers false
% 0.22/0.49 % --bc_imp_inh []
% 0.22/0.49 % --conj_cone_tolerance 1.5
% 0.22/0.49 % --prolific_symb_bound 500
% 0.22/0.49 % --lt_threshold 2000
% 0.22/0.49
% 0.22/0.49 % ------ SAT Options
% 0.22/0.49
% 0.22/0.49 % --sat_mode false
% 0.22/0.49 % --sat_fm_restart_options ""
% 0.22/0.49 % --sat_gr_def false
% 0.22/0.49 % --sat_epr_types true
% 0.22/0.49 % --sat_non_cyclic_types false
% 0.22/0.49 % --sat_finite_models false
% 0.22/0.49 % --sat_fm_lemmas false
% 0.22/0.49 % --sat_fm_prep false
% 0.22/0.49 % --sat_fm_uc_incr true
% 0.22/0.49 % --sat_out_model small
% 0.22/0.49 % --sat_out_clauses false
% 0.22/0.49
% 0.22/0.49 % ------ QBF Options
% 0.22/0.49
% 0.22/0.49 % --qbf_mode false
% 0.22/0.49 % --qbf_elim_univ true
% 0.22/0.49 % --qbf_sk_in true
% 0.22/0.49 % --qbf_pred_elim true
% 0.22/0.49 % --qbf_split 32
% 0.22/0.49
% 0.22/0.49 % ------ BMC1 Options
% 0.22/0.49
% 0.22/0.49 % --bmc1_incremental false
% 0.22/0.49 % --bmc1_axioms reachable_all
% 0.22/0.49 % --bmc1_min_bound 0
% 0.22/0.49 % --bmc1_max_bound -1
% 0.22/0.49 % --bmc1_max_bound_default -1
% 0.22/0.49 % --bmc1_symbol_reachability true
% 0.22/0.49 % --bmc1_property_lemmas false
% 0.22/0.49 % --bmc1_k_induction false
% 0.22/0.49 % --bmc1_non_equiv_states false
% 0.22/0.49 % --bmc1_deadlock false
% 0.22/0.49 % --bmc1_ucm false
% 0.22/0.49 % --bmc1_add_unsat_core none
% 0.22/0.49 % --bmc1_unsat_core_children false
% 0.22/0.49 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.49 % --bmc1_out_stat full
% 0.22/0.49 % --bmc1_ground_init false
% 0.22/0.49 % --bmc1_pre_inst_next_state false
% 0.22/0.49 % --bmc1_pre_inst_state false
% 0.22/0.49 % --bmc1_pre_inst_reach_state false
% 0.22/0.49 % --bmc1_out_unsat_core false
% 0.22/0.49 % --bmc1_aig_witness_out false
% 0.22/0.49 % --bmc1_verbose false
% 0.22/0.49 % --bmc1_dump_clauses_tptp false
% 0.22/0.49 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.49 % --bmc1_dump_file -
% 0.22/0.49 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.49 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.49 % --bmc1_ucm_extend_mode 1
% 0.22/0.49 % --bmc1_ucm_init_mode 2
% 0.22/0.49 % --bmc1_ucm_cone_mode none
% 0.22/0.49 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.49 % --bmc1_ucm_relax_model 4
% 0.22/0.49 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.49 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.49 % --bmc1_ucm_layered_model none
% 0.22/0.49 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.49
% 0.22/0.49 % ------ AIG Options
% 0.22/0.49
% 0.22/0.49 % --aig_mode false
% 0.22/0.49
% 0.22/0.49 % ------ Instantiation Options
% 0.22/0.49
% 0.22/0.49 % --instantiation_flag true
% 0.22/0.49 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.49 % --inst_solver_per_active 750
% 0.22/0.49 % --inst_solver_calls_frac 0.5
% 0.22/0.49 % --inst_passive_queue_type priority_queues
% 0.22/0.49 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.49 % --inst_passive_queues_freq [25;2]
% 0.22/0.49 % --inst_dismatching true
% 0.22/0.49 % --inst_eager_unprocessed_to_passive true
% 0.22/0.49 % --inst_prop_sim_given true
% 0.38/0.62 % --inst_prop_sim_new false
% 0.38/0.62 % --inst_orphan_elimination true
% 0.38/0.62 % --inst_learning_loop_flag true
% 0.38/0.62 % --inst_learning_start 3000
% 0.38/0.62 % --inst_learning_factor 2
% 0.38/0.62 % --inst_start_prop_sim_after_learn 3
% 0.38/0.62 % --inst_sel_renew solver
% 0.38/0.62 % --inst_lit_activity_flag true
% 0.38/0.62 % --inst_out_proof true
% 0.38/0.62
% 0.38/0.62 % ------ Resolution Options
% 0.38/0.62
% 0.38/0.62 % --resolution_flag true
% 0.38/0.62 % --res_lit_sel kbo_max
% 0.38/0.62 % --res_to_prop_solver none
% 0.38/0.62 % --res_prop_simpl_new false
% 0.38/0.62 % --res_prop_simpl_given false
% 0.38/0.62 % --res_passive_queue_type priority_queues
% 0.38/0.62 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.38/0.62 % --res_passive_queues_freq [15;5]
% 0.38/0.62 % --res_forward_subs full
% 0.38/0.62 % --res_backward_subs full
% 0.38/0.62 % --res_forward_subs_resolution true
% 0.38/0.62 % --res_backward_subs_resolution true
% 0.38/0.62 % --res_orphan_elimination false
% 0.38/0.62 % --res_time_limit 1000.
% 0.38/0.62 % --res_out_proof true
% 0.38/0.62 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9d46fc.s
% 0.38/0.62 % --modulo true
% 0.38/0.62
% 0.38/0.62 % ------ Combination Options
% 0.38/0.62
% 0.38/0.62 % --comb_res_mult 1000
% 0.38/0.62 % --comb_inst_mult 300
% 0.38/0.62 % ------
% 0.38/0.62
% 0.38/0.62
% 0.38/0.62
% 0.38/0.62 % ------ Proving...
% 0.38/0.62 %
% 0.38/0.62
% 0.38/0.62
% 0.38/0.62 % Resolution empty clause
% 0.38/0.62
% 0.38/0.62 % ------ Statistics
% 0.38/0.62
% 0.38/0.62 % ------ General
% 0.38/0.62
% 0.38/0.62 % num_of_input_clauses: 224
% 0.38/0.62 % num_of_input_neg_conjectures: 2
% 0.38/0.62 % num_of_splits: 0
% 0.38/0.62 % num_of_split_atoms: 0
% 0.38/0.62 % num_of_sem_filtered_clauses: 0
% 0.38/0.62 % num_of_subtypes: 0
% 0.38/0.62 % monotx_restored_types: 0
% 0.38/0.62 % sat_num_of_epr_types: 0
% 0.38/0.62 % sat_num_of_non_cyclic_types: 0
% 0.38/0.62 % sat_guarded_non_collapsed_types: 0
% 0.38/0.62 % is_epr: 0
% 0.38/0.62 % is_horn: 0
% 0.38/0.62 % has_eq: 1
% 0.38/0.62 % num_pure_diseq_elim: 0
% 0.38/0.62 % simp_replaced_by: 0
% 0.38/0.62 % res_preprocessed: 20
% 0.38/0.62 % prep_upred: 0
% 0.38/0.62 % prep_unflattend: 0
% 0.38/0.62 % pred_elim_cands: 1
% 0.38/0.62 % pred_elim: 1
% 0.38/0.62 % pred_elim_cl: 2
% 0.38/0.62 % pred_elim_cycles: 2
% 0.38/0.62 % forced_gc_time: 0
% 0.38/0.62 % gc_basic_clause_elim: 0
% 0.38/0.62 % parsing_time: 0.012
% 0.38/0.62 % sem_filter_time: 0.
% 0.38/0.62 % pred_elim_time: 0.
% 0.38/0.62 % out_proof_time: 0.
% 0.38/0.62 % monotx_time: 0.
% 0.38/0.62 % subtype_inf_time: 0.
% 0.38/0.62 % unif_index_cands_time: 0.
% 0.38/0.62 % unif_index_add_time: 0.
% 0.38/0.62 % total_time: 0.18
% 0.38/0.62 % num_of_symbols: 44
% 0.38/0.62 % num_of_terms: 4425
% 0.38/0.62
% 0.38/0.62 % ------ Propositional Solver
% 0.38/0.62
% 0.38/0.62 % prop_solver_calls: 1
% 0.38/0.62 % prop_fast_solver_calls: 41
% 0.38/0.62 % prop_num_of_clauses: 132
% 0.38/0.62 % prop_preprocess_simplified: 822
% 0.38/0.62 % prop_fo_subsumed: 0
% 0.38/0.62 % prop_solver_time: 0.
% 0.38/0.62 % prop_fast_solver_time: 0.
% 0.38/0.62 % prop_unsat_core_time: 0.
% 0.38/0.62
% 0.38/0.62 % ------ QBF
% 0.38/0.62
% 0.38/0.62 % qbf_q_res: 0
% 0.38/0.62 % qbf_num_tautologies: 0
% 0.38/0.62 % qbf_prep_cycles: 0
% 0.38/0.62
% 0.38/0.62 % ------ BMC1
% 0.38/0.62
% 0.38/0.62 % bmc1_current_bound: -1
% 0.38/0.62 % bmc1_last_solved_bound: -1
% 0.38/0.62 % bmc1_unsat_core_size: -1
% 0.38/0.62 % bmc1_unsat_core_parents_size: -1
% 0.38/0.62 % bmc1_merge_next_fun: 0
% 0.38/0.62 % bmc1_unsat_core_clauses_time: 0.
% 0.38/0.62
% 0.38/0.62 % ------ Instantiation
% 0.38/0.62
% 0.38/0.62 % inst_num_of_clauses: 221
% 0.38/0.62 % inst_num_in_passive: 0
% 0.38/0.62 % inst_num_in_active: 0
% 0.38/0.62 % inst_num_in_unprocessed: 222
% 0.38/0.62 % inst_num_of_loops: 0
% 0.38/0.62 % inst_num_of_learning_restarts: 0
% 0.38/0.62 % inst_num_moves_active_passive: 0
% 0.38/0.62 % inst_lit_activity: 0
% 0.38/0.62 % inst_lit_activity_moves: 0
% 0.38/0.62 % inst_num_tautologies: 0
% 0.38/0.62 % inst_num_prop_implied: 0
% 0.38/0.62 % inst_num_existing_simplified: 0
% 0.38/0.62 % inst_num_eq_res_simplified: 0
% 0.38/0.62 % inst_num_child_elim: 0
% 0.38/0.62 % inst_num_of_dismatching_blockings: 0
% 0.38/0.62 % inst_num_of_non_proper_insts: 0
% 0.38/0.62 % inst_num_of_duplicates: 0
% 0.38/0.62 % inst_inst_num_from_inst_to_res: 0
% 0.38/0.62 % inst_dismatching_checking_time: 0.
% 0.38/0.62
% 0.38/0.62 % ------ Resolution
% 0.38/0.62
% 0.38/0.62 % res_num_of_clauses: 1868
% 0.38/0.62 % res_num_in_passive: 1539
% 0.38/0.62 % res_num_in_active: 174
% 0.38/0.62 % res_num_of_loops: 119
% 0.38/0.62 % res_forward_subset_subsumed: 183
% 0.38/0.62 % res_backward_subset_subsumed: 78
% 0.38/0.62 % res_forward_subsumed: 43
% 0.38/0.62 % res_backward_subsumed: 0
% 0.38/0.62 % res_forward_subsumption_resolution: 6
% 0.38/0.62 % res_backward_subsumption_resolution: 12
% 0.38/0.62 % res_clause_to_clause_subsumption: 1336
% 0.38/0.62 % res_orphan_elimination: 0
% 0.38/0.62 % res_tautology_del: 90
% 0.38/0.62 % res_num_eq_res_simplified: 0
% 0.38/0.62 % res_num_sel_changes: 0
% 0.38/0.62 % res_moves_from_active_to_pass: 0
% 0.38/0.62
% 0.38/0.62 % Status Unsatisfiable
% 0.38/0.62 % SZS status Theorem
% 0.38/0.62 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------