TSTP Solution File: NUM425+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n020.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 10:57:10 EDT 2022

% Result   : Theorem 0.62s 0.84s
% Output   : CNFRefutation 0.62s
% 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(xa,smndt0(xb)) ),
    file('<stdin>',m__) ).

fof(c_0_1_021,hypothesis,
    sdteqdtlpzmzozddtrp0(xa,xb,xq),
    file('<stdin>',m__724) ).

fof(c_0_2_022,hypothesis,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xq)
    & xq != sz00 ),
    file('<stdin>',m__704) ).

fof(c_0_3_023,negated_conjecture,
    ~ ? [X1] :
        ( aInteger0(X1)
        & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_4_024,hypothesis,
    sdteqdtlpzmzozddtrp0(xa,xb,xq),
    c_0_1 ).

fof(c_0_5_025,hypothesis,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xq)
    & xq != sz00 ),
    c_0_2 ).

fof(c_0_6_026,negated_conjecture,
    ! [X2] :
      ( ~ aInteger0(X2)
      | sdtasdt0(xq,X2) != sdtpldt0(xa,smndt0(xb)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_7_027,hypothesis,
    sdteqdtlpzmzozddtrp0(xa,xb,xq),
    c_0_4 ).

fof(c_0_8_028,hypothesis,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xq)
    & xq != sz00 ),
    c_0_5 ).

cnf(c_0_9_029,negated_conjecture,
    ( sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xb))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_030,hypothesis,
    sdteqdtlpzmzozddtrp0(xa,xb,xq),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11_031,hypothesis,
    aInteger0(xa),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12_032,hypothesis,
    aInteger0(xb),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13_033,hypothesis,
    aInteger0(xq),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14_034,hypothesis,
    xq != sz00,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15_035,negated_conjecture,
    ( sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xb))
    | ~ aInteger0(X1) ),
    c_0_9,
    [final] ).

cnf(c_0_16_036,hypothesis,
    sdteqdtlpzmzozddtrp0(xa,xb,xq),
    c_0_10,
    [final] ).

cnf(c_0_17_037,hypothesis,
    aInteger0(xa),
    c_0_11,
    [final] ).

cnf(c_0_18_038,hypothesis,
    aInteger0(xb),
    c_0_12,
    [final] ).

cnf(c_0_19_039,hypothesis,
    aInteger0(xq),
    c_0_13,
    [final] ).

cnf(c_0_20_040,hypothesis,
    xq != sz00,
    c_0_14,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_4,plain,
    ( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
    | X2 = sz00
    | aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_14_4) ).

cnf(c_117,plain,
    ( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
    | X2 = sz00
    | aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X0) ),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_13453,plain,
    ( aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
    | ~ aInteger0(xq)
    | ~ aInteger0(X1)
    | ~ aInteger0(X0)
    | ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
    | xq = sz00 ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_13814,plain,
    ( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(xq)
    | ~ aInteger0(xa)
    | ~ aInteger0(xb)
    | ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
    | xq = sz00 ),
    inference(instantiation,[status(thm)],[c_13453]) ).

cnf(c_28,plain,
    ( aInteger0(smndt0(X0))
    | ~ aInteger0(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_99_0) ).

cnf(c_141,plain,
    ( aInteger0(smndt0(X0))
    | ~ aInteger0(X0) ),
    inference(copy,[status(esa)],[c_28]) ).

cnf(c_13648,plain,
    ( aInteger0(smndt0(xb))
    | ~ aInteger0(xb) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_46,plain,
    ( ~ aDivisorOf0(X0,X1)
    | aInteger0(sk1_esk1_2(X1,X0))
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_81_0) ).

cnf(c_159,plain,
    ( ~ aDivisorOf0(X0,X1)
    | aInteger0(sk1_esk1_2(X1,X0))
    | ~ aInteger0(X1) ),
    inference(copy,[status(esa)],[c_46]) ).

cnf(c_13499,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
    | ~ aInteger0(sdtpldt0(X0,smndt0(X1)))
    | aInteger0(sk1_esk1_2(sdtpldt0(X0,smndt0(X1)),xq)) ),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_13645,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | aInteger0(sk1_esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) ),
    inference(instantiation,[status(thm)],[c_13499]) ).

cnf(c_39,plain,
    ( ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | aInteger0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_88_0) ).

cnf(c_152,plain,
    ( ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | aInteger0(sdtpldt0(X0,X1)) ),
    inference(copy,[status(esa)],[c_39]) ).

cnf(c_13587,plain,
    ( ~ aInteger0(smndt0(X0))
    | aInteger0(sdtpldt0(X1,smndt0(X0)))
    | ~ aInteger0(X1) ),
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_13642,plain,
    ( ~ aInteger0(smndt0(xb))
    | aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(xa) ),
    inference(instantiation,[status(thm)],[c_13587]) ).

cnf(c_51,negated_conjecture,
    ( ~ aInteger0(X0)
    | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_15) ).

cnf(c_92,negated_conjecture,
    ( ~ aInteger0(X0)
    | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_96,negated_conjecture,
    ( ~ aInteger0(X0)
    | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(copy,[status(esa)],[c_92]) ).

cnf(c_107,negated_conjecture,
    ( ~ aInteger0(X0)
    | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(copy,[status(esa)],[c_96]) ).

cnf(c_108,negated_conjecture,
    ( ~ aInteger0(X0)
    | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(copy,[status(esa)],[c_107]) ).

cnf(c_164,negated_conjecture,
    ( ~ aInteger0(X0)
    | sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(copy,[status(esa)],[c_108]) ).

cnf(c_13627,plain,
    ( ~ aInteger0(sk1_esk1_2(sdtpldt0(xa,smndt0(xb)),xq))
    | sdtasdt0(xq,sk1_esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) != sdtpldt0(xa,smndt0(xb)) ),
    inference(instantiation,[status(thm)],[c_164]) ).

cnf(c_48,plain,
    ( ~ aDivisorOf0(X0,X1)
    | sdtasdt0(X0,sk1_esk1_2(X1,X0)) = X1
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_79_0) ).

cnf(c_161,plain,
    ( ~ aDivisorOf0(X0,X1)
    | sdtasdt0(X0,sk1_esk1_2(X1,X0)) = X1
    | ~ aInteger0(X1) ),
    inference(copy,[status(esa)],[c_48]) ).

cnf(c_13498,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
    | ~ aInteger0(sdtpldt0(X0,smndt0(X1)))
    | sdtasdt0(xq,sk1_esk1_2(sdtpldt0(X0,smndt0(X1)),xq)) = sdtpldt0(X0,smndt0(X1)) ),
    inference(instantiation,[status(thm)],[c_161]) ).

cnf(c_13626,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | sdtasdt0(xq,sk1_esk1_2(sdtpldt0(xa,smndt0(xb)),xq)) = sdtpldt0(xa,smndt0(xb)) ),
    inference(instantiation,[status(thm)],[c_13498]) ).

cnf(c_52,plain,
    xq != sz00,
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_20) ).

cnf(c_53,plain,
    sdteqdtlpzmzozddtrp0(xa,xb,xq),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_16) ).

cnf(c_54,plain,
    aInteger0(xa),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_17) ).

cnf(c_55,plain,
    aInteger0(xb),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_18) ).

cnf(c_56,plain,
    aInteger0(xq),
    file('/export/starexec/sandbox/tmp/iprover_modulo_96e3da.p',c_0_19) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_13814,c_13648,c_13645,c_13642,c_13627,c_13626,c_52,c_53,c_54,c_55,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : iprover_modulo %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Wed Jul  6 20:35:14 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.37  % Running in mono-core mode
% 0.23/0.44  % Orienting using strategy Equiv(ClausalAll)
% 0.23/0.44  % FOF problem with conjecture
% 0.23/0.44  % 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_d87959.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_96e3da.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c9bf6d | grep -v "SZS"
% 0.23/0.47  
% 0.23/0.47  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.23/0.47  
% 0.23/0.47  % 
% 0.23/0.47  % ------  iProver source info 
% 0.23/0.47  
% 0.23/0.47  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.23/0.47  % git: non_committed_changes: true
% 0.23/0.47  % git: last_make_outside_of_git: true
% 0.23/0.47  
% 0.23/0.47  % 
% 0.23/0.47  % ------ Input Options
% 0.23/0.47  
% 0.23/0.47  % --out_options                         all
% 0.23/0.47  % --tptp_safe_out                       true
% 0.23/0.47  % --problem_path                        ""
% 0.23/0.47  % --include_path                        ""
% 0.23/0.47  % --clausifier                          .//eprover
% 0.23/0.47  % --clausifier_options                  --tstp-format  
% 0.23/0.47  % --stdin                               false
% 0.23/0.47  % --dbg_backtrace                       false
% 0.23/0.47  % --dbg_dump_prop_clauses               false
% 0.23/0.47  % --dbg_dump_prop_clauses_file          -
% 0.23/0.47  % --dbg_out_stat                        false
% 0.23/0.47  
% 0.23/0.47  % ------ General Options
% 0.23/0.47  
% 0.23/0.47  % --fof                                 false
% 0.23/0.47  % --time_out_real                       150.
% 0.23/0.47  % --time_out_prep_mult                  0.2
% 0.23/0.47  % --time_out_virtual                    -1.
% 0.23/0.47  % --schedule                            none
% 0.23/0.47  % --ground_splitting                    input
% 0.23/0.47  % --splitting_nvd                       16
% 0.23/0.47  % --non_eq_to_eq                        false
% 0.23/0.47  % --prep_gs_sim                         true
% 0.23/0.47  % --prep_unflatten                      false
% 0.23/0.47  % --prep_res_sim                        true
% 0.23/0.47  % --prep_upred                          true
% 0.23/0.47  % --res_sim_input                       true
% 0.23/0.47  % --clause_weak_htbl                    true
% 0.23/0.47  % --gc_record_bc_elim                   false
% 0.23/0.47  % --symbol_type_check                   false
% 0.23/0.47  % --clausify_out                        false
% 0.23/0.47  % --large_theory_mode                   false
% 0.23/0.47  % --prep_sem_filter                     none
% 0.23/0.47  % --prep_sem_filter_out                 false
% 0.23/0.47  % --preprocessed_out                    false
% 0.23/0.47  % --sub_typing                          false
% 0.23/0.47  % --brand_transform                     false
% 0.23/0.47  % --pure_diseq_elim                     true
% 0.23/0.47  % --min_unsat_core                      false
% 0.23/0.47  % --pred_elim                           true
% 0.23/0.47  % --add_important_lit                   false
% 0.23/0.47  % --soft_assumptions                    false
% 0.23/0.47  % --reset_solvers                       false
% 0.23/0.47  % --bc_imp_inh                          []
% 0.23/0.47  % --conj_cone_tolerance                 1.5
% 0.23/0.47  % --prolific_symb_bound                 500
% 0.23/0.47  % --lt_threshold                        2000
% 0.23/0.47  
% 0.23/0.47  % ------ SAT Options
% 0.23/0.47  
% 0.23/0.47  % --sat_mode                            false
% 0.23/0.47  % --sat_fm_restart_options              ""
% 0.23/0.47  % --sat_gr_def                          false
% 0.23/0.47  % --sat_epr_types                       true
% 0.23/0.47  % --sat_non_cyclic_types                false
% 0.23/0.47  % --sat_finite_models                   false
% 0.23/0.47  % --sat_fm_lemmas                       false
% 0.23/0.47  % --sat_fm_prep                         false
% 0.23/0.47  % --sat_fm_uc_incr                      true
% 0.23/0.47  % --sat_out_model                       small
% 0.23/0.47  % --sat_out_clauses                     false
% 0.23/0.47  
% 0.23/0.47  % ------ QBF Options
% 0.23/0.47  
% 0.23/0.47  % --qbf_mode                            false
% 0.23/0.47  % --qbf_elim_univ                       true
% 0.23/0.47  % --qbf_sk_in                           true
% 0.23/0.47  % --qbf_pred_elim                       true
% 0.23/0.47  % --qbf_split                           32
% 0.23/0.47  
% 0.23/0.47  % ------ BMC1 Options
% 0.23/0.47  
% 0.23/0.47  % --bmc1_incremental                    false
% 0.23/0.47  % --bmc1_axioms                         reachable_all
% 0.23/0.47  % --bmc1_min_bound                      0
% 0.23/0.47  % --bmc1_max_bound                      -1
% 0.23/0.47  % --bmc1_max_bound_default              -1
% 0.23/0.47  % --bmc1_symbol_reachability            true
% 0.23/0.47  % --bmc1_property_lemmas                false
% 0.23/0.47  % --bmc1_k_induction                    false
% 0.23/0.47  % --bmc1_non_equiv_states               false
% 0.23/0.47  % --bmc1_deadlock                       false
% 0.23/0.47  % --bmc1_ucm                            false
% 0.23/0.47  % --bmc1_add_unsat_core                 none
% 0.23/0.47  % --bmc1_unsat_core_children            false
% 0.23/0.47  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.23/0.47  % --bmc1_out_stat                       full
% 0.23/0.47  % --bmc1_ground_init                    false
% 0.23/0.47  % --bmc1_pre_inst_next_state            false
% 0.23/0.47  % --bmc1_pre_inst_state                 false
% 0.23/0.47  % --bmc1_pre_inst_reach_state           false
% 0.23/0.47  % --bmc1_out_unsat_core                 false
% 0.23/0.47  % --bmc1_aig_witness_out                false
% 0.23/0.47  % --bmc1_verbose                        false
% 0.23/0.47  % --bmc1_dump_clauses_tptp              false
% 0.23/0.47  % --bmc1_dump_unsat_core_tptp           false
% 0.23/0.47  % --bmc1_dump_file                      -
% 0.23/0.47  % --bmc1_ucm_expand_uc_limit            128
% 0.23/0.47  % --bmc1_ucm_n_expand_iterations        6
% 0.23/0.47  % --bmc1_ucm_extend_mode                1
% 0.23/0.47  % --bmc1_ucm_init_mode                  2
% 0.23/0.47  % --bmc1_ucm_cone_mode                  none
% 0.23/0.47  % --bmc1_ucm_reduced_relation_type      0
% 0.23/0.47  % --bmc1_ucm_relax_model                4
% 0.23/0.47  % --bmc1_ucm_full_tr_after_sat          true
% 0.23/0.47  % --bmc1_ucm_expand_neg_assumptions     false
% 0.23/0.47  % --bmc1_ucm_layered_model              none
% 0.23/0.47  % --bmc1_ucm_max_lemma_size             10
% 0.23/0.47  
% 0.23/0.47  % ------ AIG Options
% 0.23/0.47  
% 0.23/0.47  % --aig_mode                            false
% 0.23/0.47  
% 0.23/0.47  % ------ Instantiation Options
% 0.23/0.47  
% 0.23/0.47  % --instantiation_flag                  true
% 0.23/0.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.23/0.47  % --inst_solver_per_active              750
% 0.23/0.47  % --inst_solver_calls_frac              0.5
% 0.23/0.47  % --inst_passive_queue_type             priority_queues
% 0.23/0.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.23/0.47  % --inst_passive_queues_freq            [25;2]
% 0.23/0.47  % --inst_dismatching                    true
% 0.23/0.47  % --inst_eager_unprocessed_to_passive   true
% 0.23/0.47  % --inst_prop_sim_given                 true
% 0.23/0.47  % --inst_prop_sim_new                   false
% 0.23/0.47  % --inst_orphan_elimination             true
% 0.23/0.47  % --inst_learning_loop_flag             true
% 0.23/0.47  % --inst_learning_start                 3000
% 0.23/0.47  % --inst_learning_factor                2
% 0.23/0.47  % --inst_start_prop_sim_after_learn     3
% 0.23/0.47  % --inst_sel_renew                      solver
% 0.23/0.47  % --inst_lit_activity_flag              true
% 0.23/0.47  % --inst_out_proof                      true
% 0.23/0.47  
% 0.23/0.47  % ------ Resolution Options
% 0.23/0.47  
% 0.23/0.47  % --resolution_flag                     true
% 0.23/0.47  % --res_lit_sel                         kbo_max
% 0.23/0.47  % --res_to_prop_solver                  none
% 0.23/0.47  % --res_prop_simpl_new                  false
% 0.23/0.47  % --res_prop_simpl_given                false
% 0.23/0.47  % --res_passive_queue_type              priority_queues
% 0.23/0.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.23/0.47  % --res_passive_queues_freq             [15;5]
% 0.23/0.47  % --res_forward_subs                    full
% 0.23/0.47  % --res_backward_subs                   full
% 0.23/0.47  % --res_forward_subs_resolution         true
% 0.23/0.47  % --res_backward_subs_resolution        true
% 0.23/0.47  % --res_orphan_elimination              false
% 0.23/0.47  % --res_time_limit                      1000.
% 0.23/0.47  % --res_out_proof                       true
% 0.23/0.47  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_d87959.s
% 0.23/0.47  % --modulo                              true
% 0.23/0.47  
% 0.23/0.47  % ------ Combination Options
% 0.23/0.47  
% 0.23/0.47  % --comb_res_mult                       1000
% 0.23/0.47  % --comb_inst_mult                      300
% 0.23/0.47  % ------ 
% 0.23/0.47  
% 0.23/0.47  % ------ Parsing...% successful
% 0.23/0.47  
% 0.23/0.47  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.23/0.47  
% 0.23/0.47  % ------ Proving...
% 0.23/0.47  % ------ Problem Properties 
% 0.23/0.47  
% 0.23/0.47  % 
% 0.23/0.47  % EPR                                   false
% 0.23/0.47  % Horn                                  false
% 0.23/0.47  % Has equality                          true
% 0.23/0.47  
% 0.23/0.47  % % ------ Input Options Time Limit: Unbounded
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  % % ------ Current options:
% 0.23/0.47  
% 0.23/0.47  % ------ Input Options
% 0.23/0.47  
% 0.23/0.47  % --out_options                         all
% 0.23/0.47  % --tptp_safe_out                       true
% 0.23/0.47  % --problem_path                        ""
% 0.23/0.47  % --include_path                        ""
% 0.23/0.47  % --clausifier                          .//eprover
% 0.23/0.47  % --clausifier_options                  --tstp-format  
% 0.23/0.47  % --stdin                               false
% 0.23/0.47  % --dbg_backtrace                       false
% 0.23/0.47  % --dbg_dump_prop_clauses               false
% 0.23/0.47  % --dbg_dump_prop_clauses_file          -
% 0.23/0.47  % --dbg_out_stat                        false
% 0.23/0.47  
% 0.23/0.47  % ------ General Options
% 0.23/0.47  
% 0.23/0.47  % --fof                                 false
% 0.23/0.47  % --time_out_real                       150.
% 0.23/0.47  % --time_out_prep_mult                  0.2
% 0.23/0.47  % --time_out_virtual                    -1.
% 0.23/0.47  % --schedule                            none
% 0.23/0.47  % --ground_splitting                    input
% 0.23/0.47  % --splitting_nvd                       16
% 0.23/0.47  % --non_eq_to_eq                        false
% 0.23/0.47  % --prep_gs_sim                         true
% 0.23/0.47  % --prep_unflatten                      false
% 0.23/0.48  % --prep_res_sim                        true
% 0.23/0.48  % --prep_upred                          true
% 0.23/0.48  % --res_sim_input                       true
% 0.23/0.48  % --clause_weak_htbl                    true
% 0.23/0.48  % --gc_record_bc_elim                   false
% 0.23/0.48  % --symbol_type_check                   false
% 0.23/0.48  % --clausify_out                        false
% 0.23/0.48  % --large_theory_mode                   false
% 0.23/0.48  % --prep_sem_filter                     none
% 0.23/0.48  % --prep_sem_filter_out                 false
% 0.23/0.48  % --preprocessed_out                    false
% 0.23/0.48  % --sub_typing                          false
% 0.23/0.48  % --brand_transform                     false
% 0.23/0.48  % --pure_diseq_elim                     true
% 0.23/0.48  % --min_unsat_core                      false
% 0.23/0.48  % --pred_elim                           true
% 0.23/0.48  % --add_important_lit                   false
% 0.23/0.48  % --soft_assumptions                    false
% 0.23/0.48  % --reset_solvers                       false
% 0.23/0.48  % --bc_imp_inh                          []
% 0.23/0.48  % --conj_cone_tolerance                 1.5
% 0.23/0.48  % --prolific_symb_bound                 500
% 0.23/0.48  % --lt_threshold                        2000
% 0.23/0.48  
% 0.23/0.48  % ------ SAT Options
% 0.23/0.48  
% 0.23/0.48  % --sat_mode                            false
% 0.23/0.48  % --sat_fm_restart_options              ""
% 0.23/0.48  % --sat_gr_def                          false
% 0.23/0.48  % --sat_epr_types                       true
% 0.23/0.48  % --sat_non_cyclic_types                false
% 0.23/0.48  % --sat_finite_models                   false
% 0.23/0.48  % --sat_fm_lemmas                       false
% 0.23/0.48  % --sat_fm_prep                         false
% 0.23/0.48  % --sat_fm_uc_incr                      true
% 0.23/0.48  % --sat_out_model                       small
% 0.23/0.48  % --sat_out_clauses                     false
% 0.23/0.48  
% 0.23/0.48  % ------ QBF Options
% 0.23/0.48  
% 0.23/0.48  % --qbf_mode                            false
% 0.23/0.48  % --qbf_elim_univ                       true
% 0.23/0.48  % --qbf_sk_in                           true
% 0.23/0.48  % --qbf_pred_elim                       true
% 0.23/0.48  % --qbf_split                           32
% 0.23/0.48  
% 0.23/0.48  % ------ BMC1 Options
% 0.23/0.48  
% 0.23/0.48  % --bmc1_incremental                    false
% 0.23/0.48  % --bmc1_axioms                         reachable_all
% 0.23/0.48  % --bmc1_min_bound                      0
% 0.23/0.48  % --bmc1_max_bound                      -1
% 0.23/0.48  % --bmc1_max_bound_default              -1
% 0.23/0.48  % --bmc1_symbol_reachability            true
% 0.23/0.48  % --bmc1_property_lemmas                false
% 0.23/0.48  % --bmc1_k_induction                    false
% 0.23/0.48  % --bmc1_non_equiv_states               false
% 0.23/0.48  % --bmc1_deadlock                       false
% 0.23/0.48  % --bmc1_ucm                            false
% 0.23/0.48  % --bmc1_add_unsat_core                 none
% 0.23/0.48  % --bmc1_unsat_core_children            false
% 0.23/0.48  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.23/0.48  % --bmc1_out_stat                       full
% 0.23/0.48  % --bmc1_ground_init                    false
% 0.23/0.48  % --bmc1_pre_inst_next_state            false
% 0.23/0.48  % --bmc1_pre_inst_state                 false
% 0.23/0.48  % --bmc1_pre_inst_reach_state           false
% 0.23/0.48  % --bmc1_out_unsat_core                 false
% 0.23/0.48  % --bmc1_aig_witness_out                false
% 0.23/0.48  % --bmc1_verbose                        false
% 0.23/0.48  % --bmc1_dump_clauses_tptp              false
% 0.23/0.48  % --bmc1_dump_unsat_core_tptp           false
% 0.23/0.48  % --bmc1_dump_file                      -
% 0.23/0.48  % --bmc1_ucm_expand_uc_limit            128
% 0.23/0.48  % --bmc1_ucm_n_expand_iterations        6
% 0.23/0.48  % --bmc1_ucm_extend_mode                1
% 0.23/0.48  % --bmc1_ucm_init_mode                  2
% 0.23/0.48  % --bmc1_ucm_cone_mode                  none
% 0.23/0.48  % --bmc1_ucm_reduced_relation_type      0
% 0.23/0.48  % --bmc1_ucm_relax_model                4
% 0.23/0.48  % --bmc1_ucm_full_tr_after_sat          true
% 0.23/0.48  % --bmc1_ucm_expand_neg_assumptions     false
% 0.23/0.48  % --bmc1_ucm_layered_model              none
% 0.23/0.48  % --bmc1_ucm_max_lemma_size             10
% 0.23/0.48  
% 0.23/0.48  % ------ AIG Options
% 0.23/0.48  
% 0.23/0.48  % --aig_mode                            false
% 0.23/0.48  
% 0.23/0.48  % ------ Instantiation Options
% 0.23/0.48  
% 0.23/0.48  % --instantiation_flag                  true
% 0.23/0.48  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.23/0.48  % --inst_solver_per_active              750
% 0.23/0.48  % --inst_solver_calls_frac              0.5
% 0.23/0.48  % --inst_passive_queue_type             priority_queues
% 0.23/0.48  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.23/0.48  % --inst_passive_queues_freq            [25;2]
% 0.23/0.48  % --inst_dismatching                    true
% 0.23/0.48  % --inst_eager_unprocessed_to_passive   true
% 0.23/0.48  % --inst_prop_sim_given                 true
% 0.62/0.83  % --inst_prop_sim_new                   false
% 0.62/0.83  % --inst_orphan_elimination             true
% 0.62/0.83  % --inst_learning_loop_flag             true
% 0.62/0.83  % --inst_learning_start                 3000
% 0.62/0.83  % --inst_learning_factor                2
% 0.62/0.83  % --inst_start_prop_sim_after_learn     3
% 0.62/0.83  % --inst_sel_renew                      solver
% 0.62/0.83  % --inst_lit_activity_flag              true
% 0.62/0.83  % --inst_out_proof                      true
% 0.62/0.83  
% 0.62/0.83  % ------ Resolution Options
% 0.62/0.83  
% 0.62/0.83  % --resolution_flag                     true
% 0.62/0.83  % --res_lit_sel                         kbo_max
% 0.62/0.83  % --res_to_prop_solver                  none
% 0.62/0.83  % --res_prop_simpl_new                  false
% 0.62/0.83  % --res_prop_simpl_given                false
% 0.62/0.83  % --res_passive_queue_type              priority_queues
% 0.62/0.83  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.62/0.83  % --res_passive_queues_freq             [15;5]
% 0.62/0.83  % --res_forward_subs                    full
% 0.62/0.83  % --res_backward_subs                   full
% 0.62/0.83  % --res_forward_subs_resolution         true
% 0.62/0.83  % --res_backward_subs_resolution        true
% 0.62/0.83  % --res_orphan_elimination              false
% 0.62/0.83  % --res_time_limit                      1000.
% 0.62/0.83  % --res_out_proof                       true
% 0.62/0.83  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_d87959.s
% 0.62/0.83  % --modulo                              true
% 0.62/0.83  
% 0.62/0.83  % ------ Combination Options
% 0.62/0.83  
% 0.62/0.83  % --comb_res_mult                       1000
% 0.62/0.83  % --comb_inst_mult                      300
% 0.62/0.83  % ------ 
% 0.62/0.83  
% 0.62/0.83  
% 0.62/0.83  
% 0.62/0.83  % ------ Proving...
% 0.62/0.83  % 
% 0.62/0.83  
% 0.62/0.83  
% 0.62/0.83  % ------                             Statistics
% 0.62/0.83  
% 0.62/0.83  % ------ General
% 0.62/0.83  
% 0.62/0.83  % num_of_input_clauses:                 57
% 0.62/0.83  % num_of_input_neg_conjectures:         1
% 0.62/0.83  % num_of_splits:                        0
% 0.62/0.83  % num_of_split_atoms:                   0
% 0.62/0.83  % num_of_sem_filtered_clauses:          0
% 0.62/0.83  % num_of_subtypes:                      0
% 0.62/0.83  % monotx_restored_types:                0
% 0.62/0.83  % sat_num_of_epr_types:                 0
% 0.62/0.83  % sat_num_of_non_cyclic_types:          0
% 0.62/0.83  % sat_guarded_non_collapsed_types:      0
% 0.62/0.83  % is_epr:                               0
% 0.62/0.83  % is_horn:                              0
% 0.62/0.83  % has_eq:                               1
% 0.62/0.83  % num_pure_diseq_elim:                  0
% 0.62/0.83  % simp_replaced_by:                     0
% 0.62/0.83  % res_preprocessed:                     7
% 0.62/0.83  % prep_upred:                           0
% 0.62/0.83  % prep_unflattend:                      0
% 0.62/0.83  % pred_elim_cands:                      1
% 0.62/0.83  % pred_elim:                            1
% 0.62/0.83  % pred_elim_cl:                         1
% 0.62/0.83  % pred_elim_cycles:                     2
% 0.62/0.83  % forced_gc_time:                       0
% 0.62/0.83  % gc_basic_clause_elim:                 0
% 0.62/0.83  % parsing_time:                         0.002
% 0.62/0.83  % sem_filter_time:                      0.
% 0.62/0.83  % pred_elim_time:                       0.
% 0.62/0.83  % out_proof_time:                       0.
% 0.62/0.83  % monotx_time:                          0.
% 0.62/0.83  % subtype_inf_time:                     0.
% 0.62/0.83  % unif_index_cands_time:                0.002
% 0.62/0.83  % unif_index_add_time:                  0.005
% 0.62/0.83  % total_time:                           0.384
% 0.62/0.83  % num_of_symbols:                       37
% 0.62/0.83  % num_of_terms:                         11068
% 0.62/0.83  
% 0.62/0.83  % ------ Propositional Solver
% 0.62/0.83  
% 0.62/0.83  % prop_solver_calls:                    8
% 0.62/0.83  % prop_fast_solver_calls:               16
% 0.62/0.83  % prop_num_of_clauses:                  276
% 0.62/0.83  % prop_preprocess_simplified:           584
% 0.62/0.83  % prop_fo_subsumed:                     0
% 0.62/0.83  % prop_solver_time:                     0.
% 0.62/0.83  % prop_fast_solver_time:                0.
% 0.62/0.83  % prop_unsat_core_time:                 0.
% 0.62/0.83  
% 0.62/0.83  % ------ QBF 
% 0.62/0.83  
% 0.62/0.83  % qbf_q_res:                            0
% 0.62/0.83  % qbf_num_tautologies:                  0
% 0.62/0.83  % qbf_prep_cycles:                      0
% 0.62/0.83  
% 0.62/0.83  % ------ BMC1
% 0.62/0.83  
% 0.62/0.83  % bmc1_current_bound:                   -1
% 0.62/0.83  % bmc1_last_solved_bound:               -1
% 0.62/0.83  % bmc1_unsat_core_size:                 -1
% 0.62/0.83  % bmc1_unsat_core_parents_size:         -1
% 0.62/0.83  % bmc1_merge_next_fun:                  0
% 0.62/0.83  % bmc1_unsat_core_clauses_time:         0.
% 0.62/0.83  
% 0.62/0.83  % ------ Instantiation
% 0.62/0.83  
% 0.62/0.83  % inst_num_of_clauses:                  204
% 0.62/0.83  % inst_num_in_passive:                  64
% 0.62/0.83  % inst_num_in_active:                   136
% 0.62/0.83  % inst_num_in_unprocessed:              2
% 0.62/0.83  % inst_num_of_loops:                    161
% 0.62/0.84  % inst_num_of_learning_restarts:        0
% 0.62/0.84  % inst_num_moves_active_passive:        18
% 0.62/0.84  % inst_lit_activity:                    75
% 0.62/0.84  % inst_lit_activity_moves:              0
% 0.62/0.84  % inst_num_tautologies:                 0
% 0.62/0.84  % inst_num_prop_implied:                0
% 0.62/0.84  % inst_num_existing_simplified:         0
% 0.62/0.84  % inst_num_eq_res_simplified:           1
% 0.62/0.84  % inst_num_child_elim:                  0
% 0.62/0.84  % inst_num_of_dismatching_blockings:    58
% 0.62/0.84  % inst_num_of_non_proper_insts:         146
% 0.62/0.84  % inst_num_of_duplicates:               92
% 0.62/0.84  % inst_inst_num_from_inst_to_res:       0
% 0.62/0.84  % inst_dismatching_checking_time:       0.
% 0.62/0.84  
% 0.62/0.84  % ------ Resolution
% 0.62/0.84  
% 0.62/0.84  % res_num_of_clauses:                   3373
% 0.62/0.84  % res_num_in_passive:                   2321
% 0.62/0.84  % res_num_in_active:                    1016
% 0.62/0.84  % res_num_of_loops:                     1000
% 0.62/0.84  % res_forward_subset_subsumed:          614
% 0.62/0.84  % res_backward_subset_subsumed:         0
% 0.62/0.84  % res_forward_subsumed:                 25
% 0.62/0.84  % res_backward_subsumed:                0
% 0.62/0.84  % res_forward_subsumption_resolution:   54
% 0.62/0.84  % res_backward_subsumption_resolution:  0
% 0.62/0.84  % res_clause_to_clause_subsumption:     5557
% 0.62/0.84  % res_orphan_elimination:               0
% 0.62/0.84  % res_tautology_del:                    469
% 0.62/0.84  % res_num_eq_res_simplified:            0
% 0.62/0.84  % res_num_sel_changes:                  0
% 0.62/0.84  % res_moves_from_active_to_pass:        0
% 0.62/0.84  
% 0.62/0.84  % Status Unsatisfiable
% 0.62/0.84  % SZS status Theorem
% 0.62/0.84  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------