TSTP Solution File: NUM427+3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n024.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 10:57:12 EDT 2022
% Result : Theorem 0.20s 0.45s
% 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(mEquModRef,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1)
& W1 != sz00 )
=> sdteqdtlpzmzozddtrp0(W0,W0,W1) ),
input ).
fof(mEquModRef_0,plain,
! [W0,W1] :
( sdteqdtlpzmzozddtrp0(W0,W0,W1)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& W1 != sz00 ) ),
inference(orientation,[status(thm)],[mEquModRef]) ).
fof(mDivisor,axiom,
! [W0] :
( aInteger0(W0)
=> ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& W1 != sz00
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W1,W2) = W0 ) ) ) ),
input ).
fof(mDivisor_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& W1 != sz00
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W1,W2) = W0 ) ) ) ),
inference(orientation,[status(thm)],[mDivisor]) ).
fof(mMulMinOne,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ),
input ).
fof(mMulMinOne_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ),
inference(orientation,[status(thm)],[mMulMinOne]) ).
fof(mMulZero,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
input ).
fof(mMulZero_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[mMulZero]) ).
fof(mMulOne,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
input ).
fof(mMulOne_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(orientation,[status(thm)],[mMulOne]) ).
fof(mMulComm,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
input ).
fof(mMulComm_0,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mMulComm]) ).
fof(mMulAsso,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
input ).
fof(mMulAsso_0,plain,
! [W0,W1,W2] :
( sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(orientation,[status(thm)],[mMulAsso]) ).
fof(mAddNeg,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
input ).
fof(mAddNeg_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
inference(orientation,[status(thm)],[mAddNeg]) ).
fof(mAddZero,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
input ).
fof(mAddZero_0,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[mAddZero]) ).
fof(mAddComm,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
input ).
fof(mAddComm_0,plain,
! [W0,W1] :
( sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mAddComm]) ).
fof(mAddAsso,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ),
input ).
fof(mAddAsso_0,plain,
! [W0,W1,W2] :
( sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(orientation,[status(thm)],[mAddAsso]) ).
fof(mIntMult,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtasdt0(W0,W1)) ),
input ).
fof(mIntMult_0,plain,
! [W0,W1] :
( aInteger0(sdtasdt0(W0,W1))
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mIntMult]) ).
fof(mIntPlus,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtpldt0(W0,W1)) ),
input ).
fof(mIntPlus_0,plain,
! [W0,W1] :
( aInteger0(sdtpldt0(W0,W1))
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(orientation,[status(thm)],[mIntPlus]) ).
fof(mIntNeg,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
input ).
fof(mIntNeg_0,plain,
! [W0] :
( ~ aInteger0(W0)
| aInteger0(smndt0(W0)) ),
inference(orientation,[status(thm)],[mIntNeg]) ).
fof(mIntOne,axiom,
aInteger0(sz10),
input ).
fof(mIntOne_0,plain,
( aInteger0(sz10)
| $false ),
inference(orientation,[status(thm)],[mIntOne]) ).
fof(mIntZero,axiom,
aInteger0(sz00),
input ).
fof(mIntZero_0,plain,
( aInteger0(sz00)
| $false ),
inference(orientation,[status(thm)],[mIntZero]) ).
fof(mIntegers,axiom,
! [W0] :
( aInteger0(W0)
=> $true ),
input ).
fof(mIntegers_0,plain,
! [W0] :
( ~ aInteger0(W0)
| $true ),
inference(orientation,[status(thm)],[mIntegers]) ).
fof(def_lhs_atom1,axiom,
! [W0] :
( lhs_atom1(W0)
<=> ~ aInteger0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [W0] :
( lhs_atom1(W0)
| $true ),
inference(fold_definition,[status(thm)],[mIntegers_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> aInteger0(sz00) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[mIntZero_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> aInteger0(sz10) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[mIntOne_0,def_lhs_atom3]) ).
fof(to_be_clausified_3,plain,
! [W0] :
( lhs_atom1(W0)
| aInteger0(smndt0(W0)) ),
inference(fold_definition,[status(thm)],[mIntNeg_0,def_lhs_atom1]) ).
fof(def_lhs_atom4,axiom,
! [W1,W0] :
( lhs_atom4(W1,W0)
<=> aInteger0(sdtpldt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [W0,W1] :
( lhs_atom4(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mIntPlus_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [W1,W0] :
( lhs_atom5(W1,W0)
<=> aInteger0(sdtasdt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [W0,W1] :
( lhs_atom5(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mIntMult_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [W2,W1,W0] :
( lhs_atom6(W2,W1,W0)
<=> sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [W0,W1,W2] :
( lhs_atom6(W2,W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(fold_definition,[status(thm)],[mAddAsso_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_7,plain,
! [W0,W1] :
( lhs_atom7(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mAddComm_0,def_lhs_atom7]) ).
fof(to_be_clausified_8,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[mAddZero_0,def_lhs_atom1]) ).
fof(to_be_clausified_9,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
inference(fold_definition,[status(thm)],[mAddNeg_0,def_lhs_atom1]) ).
fof(def_lhs_atom8,axiom,
! [W2,W1,W0] :
( lhs_atom8(W2,W1,W0)
<=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [W0,W1,W2] :
( lhs_atom8(W2,W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) ) ),
inference(fold_definition,[status(thm)],[mMulAsso_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [W1,W0] :
( lhs_atom9(W1,W0)
<=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [W0,W1] :
( lhs_atom9(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1) ) ),
inference(fold_definition,[status(thm)],[mMulComm_0,def_lhs_atom9]) ).
fof(to_be_clausified_12,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(fold_definition,[status(thm)],[mMulOne_0,def_lhs_atom1]) ).
fof(to_be_clausified_13,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[mMulZero_0,def_lhs_atom1]) ).
fof(to_be_clausified_14,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ),
inference(fold_definition,[status(thm)],[mMulMinOne_0,def_lhs_atom1]) ).
fof(to_be_clausified_15,plain,
! [W0] :
( lhs_atom1(W0)
| ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& W1 != sz00
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W1,W2) = W0 ) ) ) ),
inference(fold_definition,[status(thm)],[mDivisor_0,def_lhs_atom1]) ).
fof(def_lhs_atom10,axiom,
! [W1,W0] :
( lhs_atom10(W1,W0)
<=> sdteqdtlpzmzozddtrp0(W0,W0,W1) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [W0,W1] :
( lhs_atom10(W1,W0)
| ~ ( aInteger0(W0)
& aInteger0(W1)
& W1 != sz00 ) ),
inference(fold_definition,[status(thm)],[mEquModRef_0,def_lhs_atom10]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_1,axiom,
! [X3,X2,X1] :
( lhs_atom6(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_3,axiom,
! [X2,X1] :
( lhs_atom10(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_4,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_5,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_6,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_7,axiom,
! [X2,X1] :
( lhs_atom4(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_12,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_13,axiom,
! [X1] :
( lhs_atom1(X1)
| aInteger0(smndt0(X1)) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_14,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_15,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_17,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
c_0_0 ).
fof(c_0_18,axiom,
! [X3,X2,X1] :
( lhs_atom6(X3,X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) ) ),
c_0_1 ).
fof(c_0_19,axiom,
! [X1] :
( lhs_atom1(X1)
| ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
c_0_2 ).
fof(c_0_20,axiom,
! [X2,X1] :
( lhs_atom10(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 ) ),
c_0_3 ).
fof(c_0_21,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_4 ).
fof(c_0_22,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_5 ).
fof(c_0_23,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_6 ).
fof(c_0_24,axiom,
! [X2,X1] :
( lhs_atom4(X2,X1)
| ~ ( aInteger0(X1)
& aInteger0(X2) ) ),
c_0_7 ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
c_0_8 ).
fof(c_0_26,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
c_0_9 ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
c_0_10 ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
c_0_11 ).
fof(c_0_29,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
c_0_12 ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom1(X1)
| aInteger0(smndt0(X1)) ),
c_0_13 ).
fof(c_0_31,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_32,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_33,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_34,plain,
! [X4,X5,X6] :
( lhs_atom8(X4,X5,X6)
| ~ aInteger0(X6)
| ~ aInteger0(X5)
| ~ aInteger0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_35,plain,
! [X4,X5,X6] :
( lhs_atom6(X4,X5,X6)
| ~ aInteger0(X6)
| ~ aInteger0(X5)
| ~ aInteger0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_36,plain,
! [X4,X5,X7,X8] :
( ( aInteger0(X5)
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( X5 != sz00
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( aInteger0(esk1_2(X4,X5))
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( sdtasdt0(X5,esk1_2(X4,X5)) = X4
| ~ aDivisorOf0(X5,X4)
| lhs_atom1(X4) )
& ( ~ aInteger0(X7)
| X7 = sz00
| ~ aInteger0(X8)
| sdtasdt0(X7,X8) != X4
| aDivisorOf0(X7,X4)
| lhs_atom1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])]) ).
fof(c_0_37,plain,
! [X3,X4] :
( lhs_atom10(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| X3 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
fof(c_0_38,plain,
! [X3,X4] :
( lhs_atom9(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_39,plain,
! [X3,X4] :
( lhs_atom7(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_40,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
fof(c_0_41,plain,
! [X3,X4] :
( lhs_atom4(X3,X4)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_42,plain,
! [X2] :
( ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
| lhs_atom1(X2) )
& ( smndt0(X2) = sdtasdt0(X2,smndt0(sz10))
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).
fof(c_0_43,plain,
! [X2] :
( ( sdtpldt0(X2,smndt0(X2)) = sz00
| lhs_atom1(X2) )
& ( sz00 = sdtpldt0(smndt0(X2),X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
fof(c_0_44,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_27])]) ).
fof(c_0_45,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_28])]) ).
fof(c_0_46,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_29])]) ).
fof(c_0_47,plain,
! [X2] :
( lhs_atom1(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_48,plain,
lhs_atom3,
c_0_31 ).
fof(c_0_49,plain,
lhs_atom2,
c_0_32 ).
fof(c_0_50,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_33]) ).
cnf(c_0_51,plain,
( lhs_atom8(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
( lhs_atom6(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
( lhs_atom1(X1)
| sdtasdt0(X2,esk1_2(X1,X2)) = X1
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( lhs_atom1(X1)
| aDivisorOf0(X2,X1)
| X2 = sz00
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,plain,
( lhs_atom1(X1)
| aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_56,plain,
( lhs_atom1(X1)
| aInteger0(X2)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_57,plain,
( X1 = sz00
| lhs_atom10(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_58,plain,
( lhs_atom1(X1)
| ~ aDivisorOf0(X2,X1)
| X2 != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_59,plain,
( lhs_atom9(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_60,plain,
( lhs_atom7(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_61,plain,
( lhs_atom5(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_62,plain,
( lhs_atom4(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_63,plain,
( lhs_atom1(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64,plain,
( lhs_atom1(X1)
| smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_65,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_66,plain,
( lhs_atom1(X1)
| sz00 = sdtpldt0(smndt0(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_67,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_68,plain,
( lhs_atom1(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_69,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_70,plain,
( lhs_atom1(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_71,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_72,plain,
( lhs_atom1(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_73,plain,
( aInteger0(smndt0(X1))
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_74,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_75,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_76,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77,plain,
( lhs_atom8(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_51,
[final] ).
cnf(c_0_78,plain,
( lhs_atom6(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_52,
[final] ).
cnf(c_0_79,plain,
( lhs_atom1(X1)
| sdtasdt0(X2,esk1_2(X1,X2)) = X1
| ~ aDivisorOf0(X2,X1) ),
c_0_53,
[final] ).
cnf(c_0_80,plain,
( lhs_atom1(X1)
| aDivisorOf0(X2,X1)
| X2 = sz00
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
c_0_54,
[final] ).
cnf(c_0_81,plain,
( lhs_atom1(X1)
| aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1) ),
c_0_55,
[final] ).
cnf(c_0_82,plain,
( lhs_atom1(X1)
| aInteger0(X2)
| ~ aDivisorOf0(X2,X1) ),
c_0_56,
[final] ).
cnf(c_0_83,plain,
( X1 = sz00
| lhs_atom10(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_57,
[final] ).
cnf(c_0_84,plain,
( lhs_atom1(X1)
| ~ aDivisorOf0(X2,X1)
| X2 != sz00 ),
c_0_58,
[final] ).
cnf(c_0_85,plain,
( lhs_atom9(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_59,
[final] ).
cnf(c_0_86,plain,
( lhs_atom7(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_60,
[final] ).
cnf(c_0_87,plain,
( lhs_atom5(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_61,
[final] ).
cnf(c_0_88,plain,
( lhs_atom4(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_62,
[final] ).
cnf(c_0_89,plain,
( lhs_atom1(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
c_0_63,
[final] ).
cnf(c_0_90,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,smndt0(sz10)) = smndt0(X1) ),
c_0_64,
[final] ).
cnf(c_0_91,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
c_0_65,
[final] ).
cnf(c_0_92,plain,
( lhs_atom1(X1)
| sdtpldt0(smndt0(X1),X1) = sz00 ),
c_0_66,
[final] ).
cnf(c_0_93,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
c_0_67,
[final] ).
cnf(c_0_94,plain,
( lhs_atom1(X1)
| sdtasdt0(sz10,X1) = X1 ),
c_0_68,
[final] ).
cnf(c_0_95,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
c_0_69,
[final] ).
cnf(c_0_96,plain,
( lhs_atom1(X1)
| sdtpldt0(sz00,X1) = X1 ),
c_0_70,
[final] ).
cnf(c_0_97,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
c_0_71,
[final] ).
cnf(c_0_98,plain,
( lhs_atom1(X1)
| sdtasdt0(sz00,X1) = sz00 ),
c_0_72,
[final] ).
cnf(c_0_99,plain,
( aInteger0(smndt0(X1))
| lhs_atom1(X1) ),
c_0_73,
[final] ).
cnf(c_0_100,plain,
lhs_atom3,
c_0_74,
[final] ).
cnf(c_0_101,plain,
lhs_atom2,
c_0_75,
[final] ).
cnf(c_0_102,plain,
$true,
c_0_76,
[final] ).
% End CNF derivation
cnf(c_0_77_0,axiom,
( sdtasdt0(X3,sdtasdt0(X2,X1)) = sdtasdt0(sdtasdt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_77,def_lhs_atom8]) ).
cnf(c_0_78_0,axiom,
( sdtpldt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_78,def_lhs_atom6]) ).
cnf(c_0_79_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X2,sk1_esk1_2(X1,X2)) = X1
| ~ aDivisorOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_79,def_lhs_atom1]) ).
cnf(c_0_80_0,axiom,
( ~ aInteger0(X1)
| aDivisorOf0(X2,X1)
| X2 = sz00
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_80,def_lhs_atom1]) ).
cnf(c_0_81_0,axiom,
( ~ aInteger0(X1)
| aInteger0(sk1_esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_81,def_lhs_atom1]) ).
cnf(c_0_82_0,axiom,
( ~ aInteger0(X1)
| aInteger0(X2)
| ~ aDivisorOf0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_82,def_lhs_atom1]) ).
cnf(c_0_83_0,axiom,
( sdteqdtlpzmzozddtrp0(X2,X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_83,def_lhs_atom10]) ).
cnf(c_0_84_0,axiom,
( ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1)
| X2 != sz00 ),
inference(unfold_definition,[status(thm)],[c_0_84,def_lhs_atom1]) ).
cnf(c_0_85_0,axiom,
( sdtasdt0(X2,X1) = sdtasdt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_85,def_lhs_atom9]) ).
cnf(c_0_86_0,axiom,
( sdtpldt0(X2,X1) = sdtpldt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_86,def_lhs_atom7]) ).
cnf(c_0_87_0,axiom,
( aInteger0(sdtasdt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_87,def_lhs_atom5]) ).
cnf(c_0_88_0,axiom,
( aInteger0(sdtpldt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_88,def_lhs_atom4]) ).
cnf(c_0_89_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_89,def_lhs_atom1]) ).
cnf(c_0_90_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X1,smndt0(sz10)) = smndt0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_90,def_lhs_atom1]) ).
cnf(c_0_91_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_91,def_lhs_atom1]) ).
cnf(c_0_92_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(smndt0(X1),X1) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_92,def_lhs_atom1]) ).
cnf(c_0_93_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_93,def_lhs_atom1]) ).
cnf(c_0_94_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(sz10,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_94,def_lhs_atom1]) ).
cnf(c_0_95_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_95,def_lhs_atom1]) ).
cnf(c_0_96_0,axiom,
( ~ aInteger0(X1)
| sdtpldt0(sz00,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_96,def_lhs_atom1]) ).
cnf(c_0_97_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_97,def_lhs_atom1]) ).
cnf(c_0_98_0,axiom,
( ~ aInteger0(X1)
| sdtasdt0(sz00,X1) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_98,def_lhs_atom1]) ).
cnf(c_0_99_0,axiom,
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_99,def_lhs_atom1]) ).
cnf(c_0_100_0,axiom,
aInteger0(sz10),
inference(unfold_definition,[status(thm)],[c_0_100,def_lhs_atom3]) ).
cnf(c_0_101_0,axiom,
aInteger0(sz00),
inference(unfold_definition,[status(thm)],[c_0_101,def_lhs_atom2]) ).
cnf(c_0_102_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_102,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] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('<stdin>',mEquMod) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('<stdin>',mDistrib) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('<stdin>',mZeroDiv) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
c_0_0 ).
fof(c_0_4_005,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
c_0_1 ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
c_0_2 ).
fof(c_0_6_007,plain,
! [X4,X5,X6] :
( ( ~ sdteqdtlpzmzozddtrp0(X4,X5,X6)
| aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( ~ aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| sdteqdtlpzmzozddtrp0(X4,X5,X6)
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_7_008,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8_009,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) != sz00
| X3 = sz00
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
cnf(c_0_9_010,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10_011,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11_012,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12_013,plain,
( sdtasdt0(sdtpldt0(X3,X2),X1) = sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13_014,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14_015,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
c_0_9,
[final] ).
cnf(c_0_15_016,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
c_0_10,
[final] ).
cnf(c_0_16_017,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_11,
[final] ).
cnf(c_0_17_018,plain,
( sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
c_0_12,
[final] ).
cnf(c_0_18_019,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
c_0_13,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_14_0,axiom,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_14]) ).
cnf(c_0_14_1,axiom,
( aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_14]) ).
cnf(c_0_14_2,axiom,
( ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_14]) ).
cnf(c_0_14_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_14]) ).
cnf(c_0_14_4,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_14]) ).
cnf(c_0_14_5,axiom,
( ~ sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_14]) ).
cnf(c_0_15_0,axiom,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_15]) ).
cnf(c_0_15_1,axiom,
( sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_15]) ).
cnf(c_0_15_2,axiom,
( ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_15]) ).
cnf(c_0_15_3,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aInteger0(X3)
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_15]) ).
cnf(c_0_15_4,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00
| ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_15]) ).
cnf(c_0_15_5,axiom,
( ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X3,X2,X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_15]) ).
cnf(c_0_16_0,axiom,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_1,axiom,
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_2,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_3,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_17_0,axiom,
( sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_17_1,axiom,
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_17_2,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1)
| ~ aInteger0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_17_3,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(X3,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_18_0,axiom,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_1,axiom,
( X2 = sz00
| X1 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_2,axiom,
( sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_3,axiom,
( ~ aInteger0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aInteger0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_4,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_020,conjecture,
( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
file('<stdin>',m__) ).
fof(c_0_1_021,hypothesis,
( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
file('<stdin>',m__724) ).
fof(c_0_2_022,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('<stdin>',m__767) ).
fof(c_0_3_023,hypothesis,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
file('<stdin>',m__747) ).
fof(c_0_4_024,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
file('<stdin>',m__704) ).
fof(c_0_5_025,negated_conjecture,
~ ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_6_026,hypothesis,
( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
c_0_1 ).
fof(c_0_7_027,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
c_0_2 ).
fof(c_0_8_028,hypothesis,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
c_0_3 ).
fof(c_0_9_029,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
c_0_4 ).
fof(c_0_10_030,negated_conjecture,
! [X2] :
( ( ~ aInteger0(X2)
| sdtasdt0(xq,X2) != sdtpldt0(xb,smndt0(xa)) )
& ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_11_031,hypothesis,
( aInteger0(esk1_0)
& sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb))
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
fof(c_0_12_032,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
c_0_7 ).
fof(c_0_13_033,hypothesis,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
c_0_8 ).
fof(c_0_14_034,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
c_0_9 ).
cnf(c_0_15_035,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16_036,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17_037,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18_038,hypothesis,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19_039,hypothesis,
aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20_040,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21_041,hypothesis,
sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22_042,hypothesis,
sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23_043,hypothesis,
aInteger0(xn),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24_044,hypothesis,
aInteger0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25_045,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26_046,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27_047,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28_048,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29_049,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
c_0_15,
[final] ).
cnf(c_0_30_050,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa))),
c_0_16,
[final] ).
cnf(c_0_31_051,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
c_0_17,
[final] ).
cnf(c_0_32_052,hypothesis,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
c_0_18,
[final] ).
cnf(c_0_33_053,hypothesis,
aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
c_0_19,
[final] ).
cnf(c_0_34_054,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
c_0_20,
[final] ).
cnf(c_0_35_055,hypothesis,
sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
c_0_21,
[final] ).
cnf(c_0_36_056,hypothesis,
sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb)),
c_0_22,
[final] ).
cnf(c_0_37_057,hypothesis,
aInteger0(xn),
c_0_23,
[final] ).
cnf(c_0_38_058,hypothesis,
aInteger0(esk1_0),
c_0_24,
[final] ).
cnf(c_0_39_059,hypothesis,
aInteger0(xa),
c_0_25,
[final] ).
cnf(c_0_40_060,hypothesis,
aInteger0(xb),
c_0_26,
[final] ).
cnf(c_0_41_061,hypothesis,
aInteger0(xq),
c_0_27,
[final] ).
cnf(c_0_42_062,hypothesis,
xq != sz00,
c_0_28,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_57,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox/tmp/iprover_modulo_e455c5.p',c_0_34) ).
cnf(c_96,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(copy,[status(esa)],[c_57]) ).
cnf(c_130,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(copy,[status(esa)],[c_96]) ).
cnf(c_145,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(copy,[status(esa)],[c_130]) ).
cnf(c_159,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(copy,[status(esa)],[c_145]) ).
cnf(c_347,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(copy,[status(esa)],[c_159]) ).
cnf(c_51,negated_conjecture,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e455c5.p',c_0_31) ).
cnf(c_112,negated_conjecture,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
inference(copy,[status(esa)],[c_51]) ).
cnf(c_124,negated_conjecture,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
inference(copy,[status(esa)],[c_112]) ).
cnf(c_151,negated_conjecture,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
inference(copy,[status(esa)],[c_124]) ).
cnf(c_153,negated_conjecture,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
inference(copy,[status(esa)],[c_151]) ).
cnf(c_335,negated_conjecture,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
inference(copy,[status(esa)],[c_153]) ).
cnf(c_961,plain,
~ aInteger0(smndt0(xn)),
inference(resolution,[status(thm)],[c_347,c_335]) ).
cnf(c_962,plain,
~ aInteger0(smndt0(xn)),
inference(rewriting,[status(thm)],[c_961]) ).
cnf(c_60,plain,
aInteger0(xn),
file('/export/starexec/sandbox/tmp/iprover_modulo_e455c5.p',c_0_37) ).
cnf(c_102,plain,
aInteger0(xn),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_133,plain,
aInteger0(xn),
inference(copy,[status(esa)],[c_102]) ).
cnf(c_142,plain,
aInteger0(xn),
inference(copy,[status(esa)],[c_133]) ).
cnf(c_162,plain,
aInteger0(xn),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_353,plain,
aInteger0(xn),
inference(copy,[status(esa)],[c_162]) ).
cnf(c_28,plain,
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e455c5.p',c_0_99_0) ).
cnf(c_287,plain,
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(copy,[status(esa)],[c_28]) ).
cnf(c_433,plain,
aInteger0(smndt0(xn)),
inference(resolution,[status(thm)],[c_353,c_287]) ).
cnf(c_440,plain,
aInteger0(smndt0(xn)),
inference(rewriting,[status(thm)],[c_433]) ).
cnf(c_964,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_962,c_440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 12:20:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.13/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.40 % FOF problem with conjecture
% 0.13/0.40 % 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_780f04.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e455c5.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_48679f | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 0.20/0.43 % --inst_prop_sim_new false
% 0.20/0.43 % --inst_orphan_elimination true
% 0.20/0.43 % --inst_learning_loop_flag true
% 0.20/0.43 % --inst_learning_start 3000
% 0.20/0.43 % --inst_learning_factor 2
% 0.20/0.43 % --inst_start_prop_sim_after_learn 3
% 0.20/0.43 % --inst_sel_renew solver
% 0.20/0.43 % --inst_lit_activity_flag true
% 0.20/0.43 % --inst_out_proof true
% 0.20/0.43
% 0.20/0.43 % ------ Resolution Options
% 0.20/0.43
% 0.20/0.43 % --resolution_flag true
% 0.20/0.43 % --res_lit_sel kbo_max
% 0.20/0.43 % --res_to_prop_solver none
% 0.20/0.43 % --res_prop_simpl_new false
% 0.20/0.43 % --res_prop_simpl_given false
% 0.20/0.43 % --res_passive_queue_type priority_queues
% 0.20/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43 % --res_passive_queues_freq [15;5]
% 0.20/0.43 % --res_forward_subs full
% 0.20/0.43 % --res_backward_subs full
% 0.20/0.43 % --res_forward_subs_resolution true
% 0.20/0.43 % --res_backward_subs_resolution true
% 0.20/0.43 % --res_orphan_elimination false
% 0.20/0.43 % --res_time_limit 1000.
% 0.20/0.43 % --res_out_proof true
% 0.20/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_780f04.s
% 0.20/0.43 % --modulo true
% 0.20/0.43
% 0.20/0.43 % ------ Combination Options
% 0.20/0.43
% 0.20/0.43 % --comb_res_mult 1000
% 0.20/0.43 % --comb_inst_mult 300
% 0.20/0.43 % ------
% 0.20/0.43
% 0.20/0.43 % ------ Parsing...% successful
% 0.20/0.43
% 0.20/0.43 % ------ 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 %
% 0.20/0.43
% 0.20/0.43 % ------ Proving...
% 0.20/0.43 % ------ Problem Properties
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % EPR false
% 0.20/0.43 % Horn false
% 0.20/0.43 % Has equality true
% 0.20/0.43
% 0.20/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % % ------ Current options:
% 0.20/0.43
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_780f04.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 %
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % Resolution empty clause
% 0.20/0.44
% 0.20/0.44 % ------ Statistics
% 0.20/0.44
% 0.20/0.44 % ------ General
% 0.20/0.44
% 0.20/0.44 % num_of_input_clauses: 65
% 0.20/0.44 % num_of_input_neg_conjectures: 3
% 0.20/0.44 % num_of_splits: 0
% 0.20/0.44 % num_of_split_atoms: 0
% 0.20/0.44 % num_of_sem_filtered_clauses: 0
% 0.20/0.44 % num_of_subtypes: 0
% 0.20/0.44 % monotx_restored_types: 0
% 0.20/0.44 % sat_num_of_epr_types: 0
% 0.20/0.44 % sat_num_of_non_cyclic_types: 0
% 0.20/0.44 % sat_guarded_non_collapsed_types: 0
% 0.20/0.44 % is_epr: 0
% 0.20/0.44 % is_horn: 0
% 0.20/0.44 % has_eq: 1
% 0.20/0.44 % num_pure_diseq_elim: 0
% 0.20/0.44 % simp_replaced_by: 0
% 0.20/0.44 % res_preprocessed: 17
% 0.20/0.44 % prep_upred: 0
% 0.20/0.44 % prep_unflattend: 0
% 0.20/0.44 % pred_elim_cands: 0
% 0.20/0.44 % pred_elim: 0
% 0.20/0.44 % pred_elim_cl: 0
% 0.20/0.44 % pred_elim_cycles: 0
% 0.20/0.44 % forced_gc_time: 0
% 0.20/0.44 % gc_basic_clause_elim: 0
% 0.20/0.44 % parsing_time: 0.003
% 0.20/0.44 % sem_filter_time: 0.
% 0.20/0.44 % pred_elim_time: 0.
% 0.20/0.44 % out_proof_time: 0.
% 0.20/0.44 % monotx_time: 0.
% 0.20/0.44 % subtype_inf_time: 0.
% 0.20/0.44 % unif_index_cands_time: 0.
% 0.20/0.44 % unif_index_add_time: 0.
% 0.20/0.44 % total_time: 0.039
% 0.20/0.44 % num_of_symbols: 39
% 0.20/0.44 % num_of_terms: 923
% 0.20/0.44
% 0.20/0.44 % ------ Propositional Solver
% 0.20/0.44
% 0.20/0.44 % prop_solver_calls: 1
% 0.20/0.44 % prop_fast_solver_calls: 34
% 0.20/0.44 % prop_num_of_clauses: 73
% 0.20/0.44 % prop_preprocess_simplified: 242
% 0.20/0.44 % prop_fo_subsumed: 0
% 0.20/0.44 % prop_solver_time: 0.
% 0.20/0.44 % prop_fast_solver_time: 0.
% 0.20/0.44 % prop_unsat_core_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ QBF
% 0.20/0.44
% 0.20/0.44 % qbf_q_res: 0
% 0.20/0.44 % qbf_num_tautologies: 0
% 0.20/0.44 % qbf_prep_cycles: 0
% 0.20/0.44
% 0.20/0.44 % ------ BMC1
% 0.20/0.44
% 0.20/0.44 % bmc1_current_bound: -1
% 0.20/0.44 % bmc1_last_solved_bound: -1
% 0.20/0.44 % bmc1_unsat_core_size: -1
% 0.20/0.44 % bmc1_unsat_core_parents_size: -1
% 0.20/0.44 % bmc1_merge_next_fun: 0
% 0.20/0.44 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation
% 0.20/0.44
% 0.20/0.44 % inst_num_of_clauses: 65
% 0.20/0.44 % inst_num_in_passive: 0
% 0.20/0.44 % inst_num_in_active: 0
% 0.20/0.44 % inst_num_in_unprocessed: 65
% 0.20/0.44 % inst_num_of_loops: 0
% 0.20/0.45 % inst_num_of_learning_restarts: 0
% 0.20/0.45 % inst_num_moves_active_passive: 0
% 0.20/0.45 % inst_lit_activity: 0
% 0.20/0.45 % inst_lit_activity_moves: 0
% 0.20/0.45 % inst_num_tautologies: 0
% 0.20/0.45 % inst_num_prop_implied: 0
% 0.20/0.45 % inst_num_existing_simplified: 0
% 0.20/0.45 % inst_num_eq_res_simplified: 0
% 0.20/0.45 % inst_num_child_elim: 0
% 0.20/0.45 % inst_num_of_dismatching_blockings: 0
% 0.20/0.45 % inst_num_of_non_proper_insts: 0
% 0.20/0.45 % inst_num_of_duplicates: 0
% 0.20/0.45 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.45 % inst_dismatching_checking_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ Resolution
% 0.20/0.45
% 0.20/0.45 % res_num_of_clauses: 371
% 0.20/0.45 % res_num_in_passive: 273
% 0.20/0.45 % res_num_in_active: 61
% 0.20/0.45 % res_num_of_loops: 21
% 0.20/0.45 % res_forward_subset_subsumed: 10
% 0.20/0.45 % res_backward_subset_subsumed: 0
% 0.20/0.45 % res_forward_subsumed: 0
% 0.20/0.45 % res_backward_subsumed: 0
% 0.20/0.45 % res_forward_subsumption_resolution: 1
% 0.20/0.45 % res_backward_subsumption_resolution: 0
% 0.20/0.45 % res_clause_to_clause_subsumption: 3
% 0.20/0.45 % res_orphan_elimination: 0
% 0.20/0.45 % res_tautology_del: 0
% 0.20/0.45 % res_num_eq_res_simplified: 0
% 0.20/0.45 % res_num_sel_changes: 0
% 0.20/0.45 % res_moves_from_active_to_pass: 0
% 0.20/0.45
% 0.20/0.45 % Status Unsatisfiable
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------