TSTP Solution File: NUM458+2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n029.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 10:57:38 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% 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(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]) ).
% 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)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_10,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_11,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_12,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_13,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_14,axiom,
! [X3,X2,X1] :
( lhs_atom10(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
c_0_0 ).
fof(c_0_15,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
c_0_1 ).
fof(c_0_16,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_17,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_3 ).
fof(c_0_18,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_4 ).
fof(c_0_19,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_5 ).
fof(c_0_20,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_6 ).
fof(c_0_21,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
c_0_7 ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
c_0_8 ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
c_0_9 ).
fof(c_0_24,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_25,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_26,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_27,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_28,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_14])]) ).
fof(c_0_29,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_15])]) ).
fof(c_0_30,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_16])])])]) ).
fof(c_0_31,plain,
! [X3,X4] :
( lhs_atom9(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_32,plain,
! [X3,X4] :
( lhs_atom7(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_33,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_34,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
fof(c_0_35,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_21])]) ).
fof(c_0_36,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_22])]) ).
fof(c_0_37,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_23])]) ).
fof(c_0_38,plain,
lhs_atom4,
c_0_24 ).
fof(c_0_39,plain,
lhs_atom3,
c_0_25 ).
fof(c_0_40,plain,
lhs_atom2,
c_0_26 ).
fof(c_0_41,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( lhs_atom10(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( lhs_atom8(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44,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_30]) ).
cnf(c_0_45,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_30]) ).
cnf(c_0_46,plain,
( lhs_atom9(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,plain,
( lhs_atom7(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48,plain,
( lhs_atom6(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( lhs_atom5(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_50,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_51,plain,
( lhs_atom1(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_52,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,plain,
( lhs_atom1(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,plain,
( lhs_atom1(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_56,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_60,plain,
( lhs_atom10(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_42,
[final] ).
cnf(c_0_61,plain,
( lhs_atom8(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_43,
[final] ).
cnf(c_0_62,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
c_0_44,
[final] ).
cnf(c_0_63,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
c_0_45,
[final] ).
cnf(c_0_64,plain,
( lhs_atom9(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_46,
[final] ).
cnf(c_0_65,plain,
( lhs_atom7(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_47,
[final] ).
cnf(c_0_66,plain,
( lhs_atom6(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_48,
[final] ).
cnf(c_0_67,plain,
( lhs_atom5(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_49,
[final] ).
cnf(c_0_68,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
c_0_50,
[final] ).
cnf(c_0_69,plain,
( lhs_atom1(X1)
| sdtasdt0(sz10,X1) = X1 ),
c_0_51,
[final] ).
cnf(c_0_70,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
c_0_52,
[final] ).
cnf(c_0_71,plain,
( lhs_atom1(X1)
| sdtpldt0(sz00,X1) = X1 ),
c_0_53,
[final] ).
cnf(c_0_72,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
c_0_54,
[final] ).
cnf(c_0_73,plain,
( lhs_atom1(X1)
| sdtasdt0(sz00,X1) = sz00 ),
c_0_55,
[final] ).
cnf(c_0_74,plain,
lhs_atom4,
c_0_56,
[final] ).
cnf(c_0_75,plain,
lhs_atom3,
c_0_57,
[final] ).
cnf(c_0_76,plain,
lhs_atom2,
c_0_58,
[final] ).
cnf(c_0_77,plain,
$true,
c_0_59,
[final] ).
% End CNF derivation
cnf(c_0_60_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_60,def_lhs_atom10]) ).
cnf(c_0_61_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_61,def_lhs_atom8]) ).
cnf(c_0_62_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_62,def_lhs_atom1]) ).
cnf(c_0_63_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_63,def_lhs_atom1]) ).
cnf(c_0_64_0,axiom,
( sdtasdt0(X2,X1) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_64,def_lhs_atom9]) ).
cnf(c_0_65_0,axiom,
( sdtpldt0(X2,X1) = sdtpldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_65,def_lhs_atom7]) ).
cnf(c_0_66_0,axiom,
( aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_66,def_lhs_atom6]) ).
cnf(c_0_67_0,axiom,
( aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_67,def_lhs_atom5]) ).
cnf(c_0_68_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_68,def_lhs_atom1]) ).
cnf(c_0_69_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz10,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_69,def_lhs_atom1]) ).
cnf(c_0_70_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_70,def_lhs_atom1]) ).
cnf(c_0_71_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sz00,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_71,def_lhs_atom1]) ).
cnf(c_0_72_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_72,def_lhs_atom1]) ).
cnf(c_0_73_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz00,X1) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_73,def_lhs_atom1]) ).
cnf(c_0_74_0,axiom,
aNaturalNumber0(sz10),
inference(unfold_definition,[status(thm)],[c_0_74,def_lhs_atom4]) ).
cnf(c_0_75_0,axiom,
sz10 != sz00,
inference(unfold_definition,[status(thm)],[c_0_75,def_lhs_atom3]) ).
cnf(c_0_76_0,axiom,
aNaturalNumber0(sz00),
inference(unfold_definition,[status(thm)],[c_0_76,def_lhs_atom2]) ).
cnf(c_0_77_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_77,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] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('<stdin>',mDefDiff) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('<stdin>',mDefLE) ).
fof(c_0_3_004,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_4_005,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('<stdin>',mZeroMul) ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('<stdin>',mZeroAdd) ).
fof(c_0_6_007,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_7_008,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
c_0_1 ).
fof(c_0_8_009,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
c_0_2 ).
fof(c_0_9_010,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_3 ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
c_0_4 ).
fof(c_0_11_012,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
c_0_5 ).
fof(c_0_12_013,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_6])])]) ).
fof(c_0_13_014,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_7])])])])]) ).
fof(c_0_14_015,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk1_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,esk1_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_8])])])])]) ).
fof(c_0_15_016,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_9])])]) ).
fof(c_0_16_017,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_10])]) ).
fof(c_0_17_018,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_11])])]) ).
cnf(c_0_18_019,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_12]) ).
cnf(c_0_19_020,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_12]) ).
cnf(c_0_20_021,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_13]) ).
cnf(c_0_21_022,plain,
( sdtpldt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22_023,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23_024,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24_025,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25_026,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26_027,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27_028,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28_029,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29_030,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30_031,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31_032,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_18,
[final] ).
cnf(c_0_32_033,plain,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_19,
[final] ).
cnf(c_0_33_034,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_20,
[final] ).
cnf(c_0_34_035,plain,
( sdtpldt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_21,
[final] ).
cnf(c_0_35_036,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_22,
[final] ).
cnf(c_0_36_037,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
c_0_23,
[final] ).
cnf(c_0_37_038,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
c_0_24,
[final] ).
cnf(c_0_38_039,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_25,
[final] ).
cnf(c_0_39_040,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_26,
[final] ).
cnf(c_0_40_041,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_27,
[final] ).
cnf(c_0_41_042,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_28,
[final] ).
cnf(c_0_42_043,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_29,
[final] ).
cnf(c_0_43_044,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_30,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_31_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_31]) ).
cnf(c_0_31_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_31]) ).
cnf(c_0_31_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_31]) ).
cnf(c_0_31_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_31]) ).
cnf(c_0_32_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_32]) ).
cnf(c_0_32_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_32]) ).
cnf(c_0_32_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_32]) ).
cnf(c_0_32_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_32]) ).
cnf(c_0_33_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_33]) ).
cnf(c_0_33_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_33]) ).
cnf(c_0_33_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_33]) ).
cnf(c_0_33_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_33]) ).
cnf(c_0_33_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_33]) ).
cnf(c_0_33_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_33]) ).
cnf(c_0_34_0,axiom,
( sdtpldt0(X2,sk2_esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk1_2(X2,X1)) = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk1_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_35_0,axiom,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_35_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_35_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_35_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_35_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_36_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
cnf(c_0_36_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
cnf(c_0_36_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
cnf(c_0_36_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
cnf(c_0_36_4,axiom,
( sdtpldt0(X3,X2) != sdtpldt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
cnf(c_0_37_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_37_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_37_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_37_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_37_4,axiom,
( sdtpldt0(X2,X3) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_38_0,axiom,
( aNaturalNumber0(sk2_esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_38]) ).
cnf(c_0_38_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_2(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_38]) ).
cnf(c_0_38_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_2(X2,X1))
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_38]) ).
cnf(c_0_38_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_38]) ).
cnf(c_0_39_0,axiom,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_39]) ).
cnf(c_0_39_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_39]) ).
cnf(c_0_39_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_39]) ).
cnf(c_0_39_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_39]) ).
cnf(c_0_39_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_39]) ).
cnf(c_0_40_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_3,axiom,
( sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_4,axiom,
( ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_41_0,axiom,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_1,axiom,
( X2 = sz00
| X1 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_2,axiom,
( sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_42_0,axiom,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_43_0,axiom,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_1,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_045,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xm )
| sdtlseqdt0(xm,xm) ),
file('<stdin>',m__) ).
fof(c_0_1_046,hypothesis,
aNaturalNumber0(xm),
file('<stdin>',m__718) ).
fof(c_0_2_047,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xm )
| sdtlseqdt0(xm,xm) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_3_048,hypothesis,
aNaturalNumber0(xm),
c_0_1 ).
fof(c_0_4_049,negated_conjecture,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| sdtpldt0(xm,X2) != xm )
& ~ sdtlseqdt0(xm,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_5_050,hypothesis,
aNaturalNumber0(xm),
c_0_3 ).
cnf(c_0_6_051,negated_conjecture,
( sdtpldt0(xm,X1) != xm
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_052,negated_conjecture,
~ sdtlseqdt0(xm,xm),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8_053,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9_054,negated_conjecture,
( sdtpldt0(xm,X1) != xm
| ~ aNaturalNumber0(X1) ),
c_0_6,
[final] ).
cnf(c_0_10_055,negated_conjecture,
~ sdtlseqdt0(xm,xm),
c_0_7,
[final] ).
cnf(c_0_11_056,hypothesis,
aNaturalNumber0(xm),
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_80,plain,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/iprover_modulo_871c76.p',c_0_11) ).
cnf(c_102,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_80]) ).
cnf(c_114,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_102]) ).
cnf(c_115,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_114]) ).
cnf(c_118,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_115]) ).
cnf(c_358,plain,
aNaturalNumber0(xm),
inference(copy,[status(esa)],[c_118]) ).
cnf(c_67,plain,
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_871c76.p',c_0_70_0) ).
cnf(c_336,plain,
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_337,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(rewriting,[status(thm)],[c_336]) ).
cnf(c_507,plain,
sdtpldt0(xm,sz00) = xm,
inference(resolution,[status(thm)],[c_358,c_337]) ).
cnf(c_530,plain,
sdtpldt0(xm,sz00) = xm,
inference(rewriting,[status(thm)],[c_507]) ).
cnf(c_78,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
file('/export/starexec/sandbox/tmp/iprover_modulo_871c76.p',c_0_9) ).
cnf(c_104,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
inference(copy,[status(esa)],[c_78]) ).
cnf(c_112,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
inference(copy,[status(esa)],[c_104]) ).
cnf(c_117,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
inference(copy,[status(esa)],[c_112]) ).
cnf(c_119,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
inference(copy,[status(esa)],[c_117]) ).
cnf(c_360,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
inference(copy,[status(esa)],[c_119]) ).
cnf(c_732,plain,
~ aNaturalNumber0(sz00),
inference(resolution,[status(thm)],[c_530,c_360]) ).
cnf(c_733,plain,
~ aNaturalNumber0(sz00),
inference(rewriting,[status(thm)],[c_732]) ).
cnf(c_61,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/iprover_modulo_871c76.p',c_0_76_0) ).
cnf(c_324,plain,
aNaturalNumber0(sz00),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_737,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_733,c_324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n029.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 : Tue Jul 5 13:31:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Running in mono-core mode
% 0.20/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.42 % FOF problem with conjecture
% 0.20/0.42 % 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/sandbox/tmp/iprover_proof_891e08.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_871c76.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0b90ca | grep -v "SZS"
% 0.20/0.45
% 0.20/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % ------ iProver source info
% 0.20/0.45
% 0.20/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.45 % git: non_committed_changes: true
% 0.20/0.45 % git: last_make_outside_of_git: true
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % ------ Input Options
% 0.20/0.45
% 0.20/0.45 % --out_options all
% 0.20/0.45 % --tptp_safe_out true
% 0.20/0.45 % --problem_path ""
% 0.20/0.45 % --include_path ""
% 0.20/0.45 % --clausifier .//eprover
% 0.20/0.45 % --clausifier_options --tstp-format
% 0.20/0.45 % --stdin false
% 0.20/0.45 % --dbg_backtrace false
% 0.20/0.45 % --dbg_dump_prop_clauses false
% 0.20/0.45 % --dbg_dump_prop_clauses_file -
% 0.20/0.45 % --dbg_out_stat false
% 0.20/0.45
% 0.20/0.45 % ------ General Options
% 0.20/0.45
% 0.20/0.45 % --fof false
% 0.20/0.45 % --time_out_real 150.
% 0.20/0.45 % --time_out_prep_mult 0.2
% 0.20/0.45 % --time_out_virtual -1.
% 0.20/0.45 % --schedule none
% 0.20/0.45 % --ground_splitting input
% 0.20/0.45 % --splitting_nvd 16
% 0.20/0.45 % --non_eq_to_eq false
% 0.20/0.45 % --prep_gs_sim true
% 0.20/0.45 % --prep_unflatten false
% 0.20/0.45 % --prep_res_sim true
% 0.20/0.45 % --prep_upred true
% 0.20/0.45 % --res_sim_input true
% 0.20/0.45 % --clause_weak_htbl true
% 0.20/0.45 % --gc_record_bc_elim false
% 0.20/0.45 % --symbol_type_check false
% 0.20/0.45 % --clausify_out false
% 0.20/0.45 % --large_theory_mode false
% 0.20/0.45 % --prep_sem_filter none
% 0.20/0.45 % --prep_sem_filter_out false
% 0.20/0.45 % --preprocessed_out false
% 0.20/0.45 % --sub_typing false
% 0.20/0.45 % --brand_transform false
% 0.20/0.45 % --pure_diseq_elim true
% 0.20/0.45 % --min_unsat_core false
% 0.20/0.45 % --pred_elim true
% 0.20/0.45 % --add_important_lit false
% 0.20/0.45 % --soft_assumptions false
% 0.20/0.45 % --reset_solvers false
% 0.20/0.45 % --bc_imp_inh []
% 0.20/0.45 % --conj_cone_tolerance 1.5
% 0.20/0.45 % --prolific_symb_bound 500
% 0.20/0.45 % --lt_threshold 2000
% 0.20/0.45
% 0.20/0.45 % ------ SAT Options
% 0.20/0.45
% 0.20/0.45 % --sat_mode false
% 0.20/0.45 % --sat_fm_restart_options ""
% 0.20/0.45 % --sat_gr_def false
% 0.20/0.45 % --sat_epr_types true
% 0.20/0.45 % --sat_non_cyclic_types false
% 0.20/0.45 % --sat_finite_models false
% 0.20/0.45 % --sat_fm_lemmas false
% 0.20/0.45 % --sat_fm_prep false
% 0.20/0.45 % --sat_fm_uc_incr true
% 0.20/0.45 % --sat_out_model small
% 0.20/0.45 % --sat_out_clauses false
% 0.20/0.45
% 0.20/0.45 % ------ QBF Options
% 0.20/0.45
% 0.20/0.45 % --qbf_mode false
% 0.20/0.45 % --qbf_elim_univ true
% 0.20/0.45 % --qbf_sk_in true
% 0.20/0.45 % --qbf_pred_elim true
% 0.20/0.45 % --qbf_split 32
% 0.20/0.45
% 0.20/0.45 % ------ BMC1 Options
% 0.20/0.45
% 0.20/0.45 % --bmc1_incremental false
% 0.20/0.45 % --bmc1_axioms reachable_all
% 0.20/0.45 % --bmc1_min_bound 0
% 0.20/0.45 % --bmc1_max_bound -1
% 0.20/0.45 % --bmc1_max_bound_default -1
% 0.20/0.45 % --bmc1_symbol_reachability true
% 0.20/0.45 % --bmc1_property_lemmas false
% 0.20/0.45 % --bmc1_k_induction false
% 0.20/0.45 % --bmc1_non_equiv_states false
% 0.20/0.45 % --bmc1_deadlock false
% 0.20/0.45 % --bmc1_ucm false
% 0.20/0.45 % --bmc1_add_unsat_core none
% 0.20/0.45 % --bmc1_unsat_core_children false
% 0.20/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.45 % --bmc1_out_stat full
% 0.20/0.45 % --bmc1_ground_init false
% 0.20/0.45 % --bmc1_pre_inst_next_state false
% 0.20/0.45 % --bmc1_pre_inst_state false
% 0.20/0.45 % --bmc1_pre_inst_reach_state false
% 0.20/0.45 % --bmc1_out_unsat_core false
% 0.20/0.45 % --bmc1_aig_witness_out false
% 0.20/0.45 % --bmc1_verbose false
% 0.20/0.45 % --bmc1_dump_clauses_tptp false
% 0.20/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.46 % --bmc1_dump_file -
% 0.20/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.46 % --bmc1_ucm_extend_mode 1
% 0.20/0.46 % --bmc1_ucm_init_mode 2
% 0.20/0.46 % --bmc1_ucm_cone_mode none
% 0.20/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.46 % --bmc1_ucm_relax_model 4
% 0.20/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.46 % --bmc1_ucm_layered_model none
% 0.20/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.46
% 0.20/0.46 % ------ AIG Options
% 0.20/0.46
% 0.20/0.46 % --aig_mode false
% 0.20/0.46
% 0.20/0.46 % ------ Instantiation Options
% 0.20/0.46
% 0.20/0.46 % --instantiation_flag true
% 0.20/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.46 % --inst_solver_per_active 750
% 0.20/0.46 % --inst_solver_calls_frac 0.5
% 0.20/0.46 % --inst_passive_queue_type priority_queues
% 0.20/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.46 % --inst_passive_queues_freq [25;2]
% 0.20/0.46 % --inst_dismatching true
% 0.20/0.46 % --inst_eager_unprocessed_to_passive true
% 0.20/0.46 % --inst_prop_sim_given true
% 0.20/0.46 % --inst_prop_sim_new false
% 0.20/0.46 % --inst_orphan_elimination true
% 0.20/0.46 % --inst_learning_loop_flag true
% 0.20/0.46 % --inst_learning_start 3000
% 0.20/0.46 % --inst_learning_factor 2
% 0.20/0.46 % --inst_start_prop_sim_after_learn 3
% 0.20/0.46 % --inst_sel_renew solver
% 0.20/0.46 % --inst_lit_activity_flag true
% 0.20/0.46 % --inst_out_proof true
% 0.20/0.46
% 0.20/0.46 % ------ Resolution Options
% 0.20/0.46
% 0.20/0.46 % --resolution_flag true
% 0.20/0.46 % --res_lit_sel kbo_max
% 0.20/0.46 % --res_to_prop_solver none
% 0.20/0.46 % --res_prop_simpl_new false
% 0.20/0.46 % --res_prop_simpl_given false
% 0.20/0.46 % --res_passive_queue_type priority_queues
% 0.20/0.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.46 % --res_passive_queues_freq [15;5]
% 0.20/0.46 % --res_forward_subs full
% 0.20/0.46 % --res_backward_subs full
% 0.20/0.46 % --res_forward_subs_resolution true
% 0.20/0.46 % --res_backward_subs_resolution true
% 0.20/0.46 % --res_orphan_elimination false
% 0.20/0.46 % --res_time_limit 1000.
% 0.20/0.46 % --res_out_proof true
% 0.20/0.46 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_891e08.s
% 0.20/0.46 % --modulo true
% 0.20/0.46
% 0.20/0.46 % ------ Combination Options
% 0.20/0.46
% 0.20/0.46 % --comb_res_mult 1000
% 0.20/0.46 % --comb_inst_mult 300
% 0.20/0.46 % ------
% 0.20/0.46
% 0.20/0.46 % ------ Parsing...% successful
% 0.20/0.46
% 0.20/0.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.46
% 0.20/0.46 % ------ Proving...
% 0.20/0.46 % ------ Problem Properties
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % EPR false
% 0.20/0.46 % Horn false
% 0.20/0.46 % Has equality true
% 0.20/0.46
% 0.20/0.46 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % % ------ Current options:
% 0.20/0.46
% 0.20/0.46 % ------ Input Options
% 0.20/0.46
% 0.20/0.46 % --out_options all
% 0.20/0.46 % --tptp_safe_out true
% 0.20/0.46 % --problem_path ""
% 0.20/0.46 % --include_path ""
% 0.20/0.46 % --clausifier .//eprover
% 0.20/0.46 % --clausifier_options --tstp-format
% 0.20/0.46 % --stdin false
% 0.20/0.46 % --dbg_backtrace false
% 0.20/0.46 % --dbg_dump_prop_clauses false
% 0.20/0.46 % --dbg_dump_prop_clauses_file -
% 0.20/0.46 % --dbg_out_stat false
% 0.20/0.46
% 0.20/0.46 % ------ General Options
% 0.20/0.46
% 0.20/0.46 % --fof false
% 0.20/0.46 % --time_out_real 150.
% 0.20/0.46 % --time_out_prep_mult 0.2
% 0.20/0.46 % --time_out_virtual -1.
% 0.20/0.46 % --schedule none
% 0.20/0.46 % --ground_splitting input
% 0.20/0.46 % --splitting_nvd 16
% 0.20/0.46 % --non_eq_to_eq false
% 0.20/0.46 % --prep_gs_sim true
% 0.20/0.46 % --prep_unflatten false
% 0.20/0.46 % --prep_res_sim true
% 0.20/0.46 % --prep_upred true
% 0.20/0.46 % --res_sim_input true
% 0.20/0.46 % --clause_weak_htbl true
% 0.20/0.46 % --gc_record_bc_elim false
% 0.20/0.46 % --symbol_type_check false
% 0.20/0.46 % --clausify_out false
% 0.20/0.46 % --large_theory_mode false
% 0.20/0.46 % --prep_sem_filter none
% 0.20/0.46 % --prep_sem_filter_out false
% 0.20/0.46 % --preprocessed_out false
% 0.20/0.46 % --sub_typing false
% 0.20/0.46 % --brand_transform false
% 0.20/0.46 % --pure_diseq_elim true
% 0.20/0.46 % --min_unsat_core false
% 0.20/0.46 % --pred_elim true
% 0.20/0.46 % --add_important_lit false
% 0.20/0.46 % --soft_assumptions false
% 0.20/0.46 % --reset_solvers false
% 0.20/0.46 % --bc_imp_inh []
% 0.20/0.46 % --conj_cone_tolerance 1.5
% 0.20/0.46 % --prolific_symb_bound 500
% 0.20/0.46 % --lt_threshold 2000
% 0.20/0.46
% 0.20/0.46 % ------ SAT Options
% 0.20/0.46
% 0.20/0.46 % --sat_mode false
% 0.20/0.46 % --sat_fm_restart_options ""
% 0.20/0.46 % --sat_gr_def false
% 0.20/0.46 % --sat_epr_types true
% 0.20/0.46 % --sat_non_cyclic_types false
% 0.20/0.46 % --sat_finite_models false
% 0.20/0.46 % --sat_fm_lemmas false
% 0.20/0.46 % --sat_fm_prep false
% 0.20/0.46 % --sat_fm_uc_incr true
% 0.20/0.46 % --sat_out_model small
% 0.20/0.46 % --sat_out_clauses false
% 0.20/0.46
% 0.20/0.46 % ------ QBF Options
% 0.20/0.46
% 0.20/0.46 % --qbf_mode false
% 0.20/0.46 % --qbf_elim_univ true
% 0.20/0.46 % --qbf_sk_in true
% 0.20/0.46 % --qbf_pred_elim true
% 0.20/0.46 % --qbf_split 32
% 0.20/0.46
% 0.20/0.46 % ------ BMC1 Options
% 0.20/0.46
% 0.20/0.46 % --bmc1_incremental false
% 0.20/0.46 % --bmc1_axioms reachable_all
% 0.20/0.46 % --bmc1_min_bound 0
% 0.20/0.46 % --bmc1_max_bound -1
% 0.20/0.46 % --bmc1_max_bound_default -1
% 0.20/0.46 % --bmc1_symbol_reachability true
% 0.20/0.46 % --bmc1_property_lemmas false
% 0.20/0.46 % --bmc1_k_induction false
% 0.20/0.46 % --bmc1_non_equiv_states false
% 0.20/0.46 % --bmc1_deadlock false
% 0.20/0.46 % --bmc1_ucm false
% 0.20/0.46 % --bmc1_add_unsat_core none
% 0.20/0.46 % --bmc1_unsat_core_children false
% 0.20/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.46 % --bmc1_out_stat full
% 0.20/0.46 % --bmc1_ground_init false
% 0.20/0.46 % --bmc1_pre_inst_next_state false
% 0.20/0.46 % --bmc1_pre_inst_state false
% 0.20/0.46 % --bmc1_pre_inst_reach_state false
% 0.20/0.46 % --bmc1_out_unsat_core false
% 0.20/0.46 % --bmc1_aig_witness_out false
% 0.20/0.46 % --bmc1_verbose false
% 0.20/0.46 % --bmc1_dump_clauses_tptp false
% 0.20/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.46 % --bmc1_dump_file -
% 0.20/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.46 % --bmc1_ucm_extend_mode 1
% 0.20/0.46 % --bmc1_ucm_init_mode 2
% 0.20/0.46 % --bmc1_ucm_cone_mode none
% 0.20/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.46 % --bmc1_ucm_relax_model 4
% 0.20/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.46 % --bmc1_ucm_layered_model none
% 0.20/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.46
% 0.20/0.46 % ------ AIG Options
% 0.20/0.46
% 0.20/0.46 % --aig_mode false
% 0.20/0.46
% 0.20/0.46 % ------ Instantiation Options
% 0.20/0.46
% 0.20/0.46 % --instantiation_flag true
% 0.20/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.46 % --inst_solver_per_active 750
% 0.20/0.46 % --inst_solver_calls_frac 0.5
% 0.20/0.46 % --inst_passive_queue_type priority_queues
% 0.20/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.46 % --inst_passive_queues_freq [25;2]
% 0.20/0.46 % --inst_dismatching true
% 0.20/0.46 % --inst_eager_unprocessed_to_passive true
% 0.20/0.46 % --inst_prop_sim_given true
% 0.20/0.48 % --inst_prop_sim_new false
% 0.20/0.48 % --inst_orphan_elimination true
% 0.20/0.48 % --inst_learning_loop_flag true
% 0.20/0.48 % --inst_learning_start 3000
% 0.20/0.48 % --inst_learning_factor 2
% 0.20/0.48 % --inst_start_prop_sim_after_learn 3
% 0.20/0.48 % --inst_sel_renew solver
% 0.20/0.48 % --inst_lit_activity_flag true
% 0.20/0.48 % --inst_out_proof true
% 0.20/0.48
% 0.20/0.48 % ------ Resolution Options
% 0.20/0.48
% 0.20/0.48 % --resolution_flag true
% 0.20/0.48 % --res_lit_sel kbo_max
% 0.20/0.48 % --res_to_prop_solver none
% 0.20/0.48 % --res_prop_simpl_new false
% 0.20/0.48 % --res_prop_simpl_given false
% 0.20/0.48 % --res_passive_queue_type priority_queues
% 0.20/0.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.48 % --res_passive_queues_freq [15;5]
% 0.20/0.48 % --res_forward_subs full
% 0.20/0.48 % --res_backward_subs full
% 0.20/0.48 % --res_forward_subs_resolution true
% 0.20/0.48 % --res_backward_subs_resolution true
% 0.20/0.48 % --res_orphan_elimination false
% 0.20/0.48 % --res_time_limit 1000.
% 0.20/0.48 % --res_out_proof true
% 0.20/0.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_891e08.s
% 0.20/0.48 % --modulo true
% 0.20/0.48
% 0.20/0.48 % ------ Combination Options
% 0.20/0.48
% 0.20/0.48 % --comb_res_mult 1000
% 0.20/0.48 % --comb_inst_mult 300
% 0.20/0.48 % ------
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % ------ Proving...
% 0.20/0.48 %
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % Resolution empty clause
% 0.20/0.48
% 0.20/0.48 % ------ Statistics
% 0.20/0.48
% 0.20/0.48 % ------ General
% 0.20/0.48
% 0.20/0.48 % num_of_input_clauses: 81
% 0.20/0.48 % num_of_input_neg_conjectures: 2
% 0.20/0.48 % num_of_splits: 0
% 0.20/0.48 % num_of_split_atoms: 0
% 0.20/0.48 % num_of_sem_filtered_clauses: 0
% 0.20/0.48 % num_of_subtypes: 0
% 0.20/0.48 % monotx_restored_types: 0
% 0.20/0.48 % sat_num_of_epr_types: 0
% 0.20/0.48 % sat_num_of_non_cyclic_types: 0
% 0.20/0.48 % sat_guarded_non_collapsed_types: 0
% 0.20/0.48 % is_epr: 0
% 0.20/0.48 % is_horn: 0
% 0.20/0.48 % has_eq: 1
% 0.20/0.48 % num_pure_diseq_elim: 0
% 0.20/0.48 % simp_replaced_by: 0
% 0.20/0.48 % res_preprocessed: 5
% 0.20/0.48 % prep_upred: 0
% 0.20/0.48 % prep_unflattend: 0
% 0.20/0.48 % pred_elim_cands: 0
% 0.20/0.48 % pred_elim: 0
% 0.20/0.48 % pred_elim_cl: 0
% 0.20/0.48 % pred_elim_cycles: 0
% 0.20/0.48 % forced_gc_time: 0
% 0.20/0.48 % gc_basic_clause_elim: 0
% 0.20/0.48 % parsing_time: 0.004
% 0.20/0.48 % sem_filter_time: 0.
% 0.20/0.48 % pred_elim_time: 0.
% 0.20/0.48 % out_proof_time: 0.
% 0.20/0.48 % monotx_time: 0.
% 0.20/0.48 % subtype_inf_time: 0.
% 0.20/0.48 % unif_index_cands_time: 0.
% 0.20/0.48 % unif_index_add_time: 0.
% 0.20/0.48 % total_time: 0.046
% 0.20/0.48 % num_of_symbols: 34
% 0.20/0.48 % num_of_terms: 571
% 0.20/0.48
% 0.20/0.48 % ------ Propositional Solver
% 0.20/0.48
% 0.20/0.48 % prop_solver_calls: 1
% 0.20/0.48 % prop_fast_solver_calls: 11
% 0.20/0.48 % prop_num_of_clauses: 63
% 0.20/0.48 % prop_preprocess_simplified: 278
% 0.20/0.48 % prop_fo_subsumed: 0
% 0.20/0.48 % prop_solver_time: 0.
% 0.20/0.48 % prop_fast_solver_time: 0.
% 0.20/0.48 % prop_unsat_core_time: 0.
% 0.20/0.48
% 0.20/0.48 % ------ QBF
% 0.20/0.48
% 0.20/0.48 % qbf_q_res: 0
% 0.20/0.48 % qbf_num_tautologies: 0
% 0.20/0.48 % qbf_prep_cycles: 0
% 0.20/0.48
% 0.20/0.48 % ------ BMC1
% 0.20/0.48
% 0.20/0.48 % bmc1_current_bound: -1
% 0.20/0.48 % bmc1_last_solved_bound: -1
% 0.20/0.48 % bmc1_unsat_core_size: -1
% 0.20/0.48 % bmc1_unsat_core_parents_size: -1
% 0.20/0.48 % bmc1_merge_next_fun: 0
% 0.20/0.48 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.48
% 0.20/0.48 % ------ Instantiation
% 0.20/0.48
% 0.20/0.48 % inst_num_of_clauses: 81
% 0.20/0.48 % inst_num_in_passive: 0
% 0.20/0.48 % inst_num_in_active: 0
% 0.20/0.48 % inst_num_in_unprocessed: 81
% 0.20/0.48 % inst_num_of_loops: 0
% 0.20/0.48 % inst_num_of_learning_restarts: 0
% 0.20/0.48 % inst_num_moves_active_passive: 0
% 0.20/0.48 % inst_lit_activity: 0
% 0.20/0.48 % inst_lit_activity_moves: 0
% 0.20/0.48 % inst_num_tautologies: 0
% 0.20/0.48 % inst_num_prop_implied: 0
% 0.20/0.48 % inst_num_existing_simplified: 0
% 0.20/0.48 % inst_num_eq_res_simplified: 0
% 0.20/0.48 % inst_num_child_elim: 0
% 0.20/0.48 % inst_num_of_dismatching_blockings: 0
% 0.20/0.48 % inst_num_of_non_proper_insts: 0
% 0.20/0.48 % inst_num_of_duplicates: 0
% 0.20/0.48 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.48 % inst_dismatching_checking_time: 0.
% 0.20/0.48
% 0.20/0.48 % ------ Resolution
% 0.20/0.48
% 0.20/0.48 % res_num_of_clauses: 186
% 0.20/0.48 % res_num_in_passive: 52
% 0.20/0.48 % res_num_in_active: 69
% 0.20/0.48 % res_num_of_loops: 41
% 0.20/0.48 % res_forward_subset_subsumed: 29
% 0.20/0.48 % res_backward_subset_subsumed: 0
% 0.20/0.48 % res_forward_subsumed: 21
% 0.20/0.48 % res_backward_subsumed: 0
% 0.20/0.48 % res_forward_subsumption_resolution: 9
% 0.20/0.48 % res_backward_subsumption_resolution: 2
% 0.20/0.48 % res_clause_to_clause_subsumption: 199
% 0.20/0.48 % res_orphan_elimination: 0
% 0.20/0.48 % res_tautology_del: 3
% 0.20/0.48 % res_num_eq_res_simplified: 0
% 0.20/0.48 % res_num_sel_changes: 0
% 0.20/0.48 % res_moves_from_active_to_pass: 0
% 0.20/0.48
% 0.20/0.48 % Status Unsatisfiable
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------