TSTP Solution File: SWW198+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW198+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.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  : 300s
% DateTime : Wed Aug 31 19:18:39 EDT 2022

% Result   : Theorem 6.13s 1.20s
% Output   : Refutation 6.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   67 (  50 unt;   0 def)
%            Number of atoms       :   90 (  63 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   41 (  18   ~;  16   |;   3   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-3 aty)
%            Number of variables   :   51 (  43   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11130,plain,
    $false,
    inference(avatar_sat_refutation,[],[f7792,f11129]) ).

fof(f11129,plain,
    spl37_2,
    inference(avatar_contradiction_clause,[],[f11128]) ).

fof(f11128,plain,
    ( $false
    | spl37_2 ),
    inference(subsumption_resolution,[],[f11120,f6517]) ).

fof(f6517,plain,
    ! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,sF36,X0)),
    inference(definition_folding,[],[f5950,f6516,f6515,f6514,f6513,f6512,f6514,f6513,f6512,f6511]) ).

fof(f6511,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = sF31,
    introduced(function_definition,[]) ).

fof(f6512,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = sF32,
    introduced(function_definition,[]) ).

fof(f6513,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF32,c_Int_OPls) = sF33,
    introduced(function_definition,[]) ).

fof(f6514,plain,
    sF34 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF33,c_Int_OPls),
    introduced(function_definition,[]) ).

fof(f6515,plain,
    sF35 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF34,sF34),
    introduced(function_definition,[]) ).

fof(f6516,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,sF35) = sF36,
    introduced(function_definition,[]) ).

fof(f5950,plain,
    ! [X0] : v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X0)),
    inference(definition_unfolding,[],[f4231,f4168,f4504,f4281]) ).

fof(f4281,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0) = c_Int_OBit1(X0),
    inference(cnf_transformation,[],[f2046]) ).

fof(f2046,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0) = c_Int_OBit1(X0),
    inference(rectify,[],[f741]) ).

fof(f741,axiom,
    ! [X7] : c_Int_OBit1(X7) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X7),X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit1__def) ).

fof(f4504,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(cnf_transformation,[],[f1870]) ).

fof(f1870,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(rectify,[],[f224]) ).

fof(f224,axiom,
    ! [X7] : c_Int_OBit0(X7) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit0__def) ).

fof(f4168,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0),
    inference(cnf_transformation,[],[f1563]) ).

fof(f1563,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0),
    inference(rectify,[],[f736]) ).

fof(f736,axiom,
    ! [X12] : c_Nat_OSuc(X12) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).

fof(f4231,plain,
    ! [X0] : v_na____ != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
    inference(cnf_transformation,[],[f2441]) ).

fof(f2441,plain,
    ! [X0] : v_na____ != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
    inference(ennf_transformation,[],[f1979]) ).

fof(f1979,plain,
    ~ ? [X0] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
    inference(rectify,[],[f1187]) ).

fof(f1187,negated_conjecture,
    ~ ? [X22] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X22)),
    inference(negated_conjecture,[],[f1186]) ).

fof(f1186,conjecture,
    ? [X22] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X22)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f11120,plain,
    ( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,sF36,sK17(v_na____)))
    | spl37_2 ),
    inference(resolution,[],[f7858,f6766]) ).

fof(f6766,plain,
    ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____)
    | spl37_2 ),
    inference(avatar_component_clause,[],[f6764]) ).

fof(f6764,plain,
    ( spl37_2
  <=> c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_2])]) ).

fof(f7858,plain,
    ! [X0] :
      ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,sF36,sK17(X0))) = X0 ),
    inference(backward_demodulation,[],[f6842,f7857]) ).

fof(f7857,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31) = sF36,
    inference(forward_demodulation,[],[f7828,f6516]) ).

fof(f7828,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,sF35),
    inference(backward_demodulation,[],[f7089,f7819]) ).

fof(f7819,plain,
    sF35 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF32,sF32),
    inference(forward_demodulation,[],[f6515,f7680]) ).

fof(f7680,plain,
    sF32 = sF34,
    inference(backward_demodulation,[],[f6555,f7679]) ).

fof(f7679,plain,
    sF32 = sF33,
    inference(forward_demodulation,[],[f6513,f5914]) ).

fof(f5914,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
    inference(cnf_transformation,[],[f1471]) ).

fof(f1471,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
    inference(rectify,[],[f223]) ).

fof(f223,axiom,
    ! [X7] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,c_Int_OPls) = X7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls__right) ).

fof(f6555,plain,
    sF34 = sF33,
    inference(forward_demodulation,[],[f6514,f5914]) ).

fof(f7089,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF32,sF32)),
    inference(backward_demodulation,[],[f6870,f6512]) ).

fof(f6870,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31),
    inference(forward_demodulation,[],[f6869,f6511]) ).

fof(f6869,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(forward_demodulation,[],[f6868,f5914]) ).

fof(f6868,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))),
    inference(forward_demodulation,[],[f6239,f5914]) ).

fof(f6239,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
    inference(definition_unfolding,[],[f5632,f4504,f4281]) ).

fof(f5632,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(cnf_transformation,[],[f820]) ).

fof(f820,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__1__add__1) ).

fof(f6842,plain,
    ! [X0] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,sF31),sK17(X0))) = X0
      | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
    inference(forward_demodulation,[],[f6841,f5062]) ).

fof(f5062,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
    inference(cnf_transformation,[],[f1564]) ).

fof(f1564,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
    inference(rectify,[],[f218]) ).

fof(f218,axiom,
    ! [X9] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X9,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).

fof(f6841,plain,
    ! [X0] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK17(X0))) = X0
      | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
    inference(forward_demodulation,[],[f6840,f5310]) ).

fof(f5310,plain,
    ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),
    inference(cnf_transformation,[],[f3820]) ).

fof(f3820,plain,
    ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),
    inference(rectify,[],[f1407]) ).

fof(f1407,plain,
    ! [X1,X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),
    inference(rectify,[],[f437]) ).

fof(f437,axiom,
    ! [X9,X12] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X9,X12) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__commute) ).

fof(f6840,plain,
    ! [X0] :
      ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF31,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sF31)),sK17(X0))) = X0 ),
    inference(forward_demodulation,[],[f6839,f6511]) ).

fof(f6839,plain,
    ! [X0] :
      ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),sK17(X0))) = X0 ),
    inference(forward_demodulation,[],[f5989,f5310]) ).

fof(f5989,plain,
    ! [X0] :
      ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK17(X0))) = X0 ),
    inference(definition_unfolding,[],[f4429,f4168,f4168,f4168]) ).

fof(f4429,plain,
    ! [X0] :
      ( c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK17(X0))) = X0
      | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
    inference(cnf_transformation,[],[f3299]) ).

fof(f3299,plain,
    ! [X0] :
      ( ( c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK17(X0))) = X0
        | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) )
      & ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
        | ! [X2] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f3297,f3298]) ).

fof(f3298,plain,
    ! [X0] :
      ( ? [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) = X0
     => c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),sK17(X0))) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f3297,plain,
    ! [X0] :
      ( ( ? [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) = X0
        | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) )
      & ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
        | ! [X2] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) != X0 ) ),
    inference(rectify,[],[f3296]) ).

fof(f3296,plain,
    ! [X0] :
      ( ( ? [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) = X0
        | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) )
      & ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
        | ! [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) != X0 ) ),
    inference(nnf_transformation,[],[f1384]) ).

fof(f1384,plain,
    ! [X0] :
      ( ? [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) = X0
    <=> ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
    inference(rectify,[],[f51]) ).

fof(f51,axiom,
    ! [X14] :
      ( ? [X23] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X23)) = X14
    <=> ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_odd__nat__equiv__def2) ).

fof(f7792,plain,
    ~ spl37_2,
    inference(avatar_split_clause,[],[f4306,f6764]) ).

fof(f4306,plain,
    ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_o) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWW198+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 20:18:31 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.54  % (11959)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54  % (11963)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (11962)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55  % (11970)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55  % (11971)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.55  % (11959)Instruction limit reached!
% 0.18/0.55  % (11959)------------------------------
% 0.18/0.55  % (11959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (11959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (11959)Termination reason: Unknown
% 0.18/0.55  % (11959)Termination phase: shuffling
% 0.18/0.55  
% 0.18/0.55  % (11959)Memory used [KB]: 1918
% 0.18/0.55  % (11959)Time elapsed: 0.005 s
% 0.18/0.55  % (11959)Instructions burned: 2 (million)
% 0.18/0.55  % (11959)------------------------------
% 0.18/0.55  % (11959)------------------------------
% 0.18/0.55  % (11967)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.56  % (11975)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.27/0.56  % (11979)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.27/0.56  % (11978)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.51/0.58  % (11957)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.59  % (11955)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.59  % (11953)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.51/0.59  % (11956)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.51/0.59  % (11952)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.60  % (11973)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.51/0.60  % (11972)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.60  % (11977)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.51/0.61  % (11980)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.51/0.61  % (11966)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.51/0.61  % (11964)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.61  % (11965)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.51/0.62  % (11969)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.62  % (11974)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.51/0.63  % (11958)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.64  % (11958)Instruction limit reached!
% 1.51/0.64  % (11958)------------------------------
% 1.51/0.64  % (11958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.64  % (11958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.64  % (11958)Termination reason: Unknown
% 1.51/0.64  % (11958)Termination phase: Preprocessing 1
% 1.51/0.64  
% 1.51/0.64  % (11958)Memory used [KB]: 2430
% 1.51/0.64  % (11958)Time elapsed: 0.008 s
% 1.51/0.64  % (11958)Instructions burned: 8 (million)
% 1.51/0.64  % (11958)------------------------------
% 1.51/0.64  % (11958)------------------------------
% 1.51/0.64  % (11961)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.26/0.70  % (11957)Instruction limit reached!
% 2.26/0.70  % (11957)------------------------------
% 2.26/0.70  % (11957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.70  % (11957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.70  % (11957)Termination reason: Unknown
% 2.26/0.70  % (11957)Termination phase: Property scanning
% 2.26/0.70  
% 2.26/0.70  % (11957)Memory used [KB]: 4477
% 2.26/0.70  % (11957)Time elapsed: 0.036 s
% 2.26/0.70  % (11957)Instructions burned: 53 (million)
% 2.26/0.70  % (11957)------------------------------
% 2.26/0.70  % (11957)------------------------------
% 2.26/0.70  % (11960)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.26/0.70  % (11953)Instruction limit reached!
% 2.26/0.70  % (11953)------------------------------
% 2.26/0.70  % (11953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.70  % (11953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.70  % (11953)Termination reason: Unknown
% 2.26/0.70  % (11953)Termination phase: Preprocessing 3
% 2.26/0.70  
% 2.26/0.70  % (11953)Memory used [KB]: 3965
% 2.26/0.70  % (11953)Time elapsed: 0.031 s
% 2.26/0.70  % (11953)Instructions burned: 37 (million)
% 2.26/0.70  % (11953)------------------------------
% 2.26/0.70  % (11953)------------------------------
% 2.26/0.70  % (11968)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.26/0.70  % (11962)Instruction limit reached!
% 2.26/0.70  % (11962)------------------------------
% 2.26/0.70  % (11962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.70  % (11955)Instruction limit reached!
% 2.26/0.70  % (11955)------------------------------
% 2.26/0.70  % (11955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.70  % (11955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.70  % (11955)Termination reason: Unknown
% 2.26/0.70  % (11955)Termination phase: Property scanning
% 2.26/0.70  
% 2.26/0.70  % (11955)Memory used [KB]: 4349
% 2.26/0.70  % (11955)Time elapsed: 0.037 s
% 2.26/0.70  % (11955)Instructions burned: 52 (million)
% 2.26/0.70  % (11955)------------------------------
% 2.26/0.70  % (11955)------------------------------
% 2.26/0.71  % (11976)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.26/0.71  % (11956)Instruction limit reached!
% 2.26/0.71  % (11956)------------------------------
% 2.26/0.71  % (11956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.71  % (11956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.71  % (11956)Termination reason: Unknown
% 2.26/0.71  % (11956)Termination phase: Property scanning
% 2.26/0.71  
% 2.26/0.71  % (11956)Memory used [KB]: 4349
% 2.26/0.71  % (11956)Time elapsed: 0.035 s
% 2.26/0.71  % (11956)Instructions burned: 48 (million)
% 2.26/0.71  % (11956)------------------------------
% 2.26/0.71  % (11956)------------------------------
% 2.26/0.71  % (11952)Instruction limit reached!
% 2.26/0.71  % (11952)------------------------------
% 2.26/0.71  % (11952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.71  % (11952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.71  % (11952)Termination reason: Unknown
% 2.26/0.71  % (11952)Termination phase: Property scanning
% 2.26/0.71  
% 2.26/0.71  % (11952)Memory used [KB]: 4349
% 2.26/0.71  % (11952)Time elapsed: 0.037 s
% 2.26/0.71  % (11952)Instructions burned: 50 (million)
% 2.26/0.71  % (11952)------------------------------
% 2.26/0.71  % (11952)------------------------------
% 2.26/0.71  % (11963)Instruction limit reached!
% 2.26/0.71  % (11963)------------------------------
% 2.26/0.71  % (11963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.71  % (11963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.71  % (11963)Termination reason: Unknown
% 2.26/0.71  % (11963)Termination phase: Saturation
% 2.26/0.71  
% 2.26/0.71  % (11963)Memory used [KB]: 9338
% 2.26/0.71  % (11963)Time elapsed: 0.067 s
% 2.26/0.71  % (11963)Instructions burned: 102 (million)
% 2.26/0.71  % (11963)------------------------------
% 2.26/0.71  % (11963)------------------------------
% 2.26/0.72  % (11967)Instruction limit reached!
% 2.26/0.72  % (11967)------------------------------
% 2.26/0.72  % (11967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.72  % (11967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.72  % (11967)Termination reason: Unknown
% 2.26/0.72  % (11967)Termination phase: Saturation
% 2.26/0.72  
% 2.26/0.72  % (11967)Memory used [KB]: 9083
% 2.26/0.72  % (11967)Time elapsed: 0.115 s
% 2.26/0.72  % (11967)Instructions burned: 99 (million)
% 2.26/0.72  % (11967)------------------------------
% 2.26/0.72  % (11967)------------------------------
% 2.26/0.72  % (11954)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.44/0.72  % (11970)Instruction limit reached!
% 2.44/0.72  % (11970)------------------------------
% 2.44/0.72  % (11970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.72  % (11970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.72  % (11970)Termination reason: Unknown
% 2.44/0.72  % (11970)Termination phase: Saturation
% 2.44/0.72  
% 2.44/0.72  % (11970)Memory used [KB]: 4733
% 2.44/0.72  % (11970)Time elapsed: 0.064 s
% 2.44/0.72  % (11970)Instructions burned: 100 (million)
% 2.44/0.72  % (11970)------------------------------
% 2.44/0.72  % (11970)------------------------------
% 2.44/0.72  % (11962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.72  % (11962)Termination reason: Unknown
% 2.44/0.72  % (11962)Termination phase: Saturation
% 2.44/0.72  
% 2.44/0.72  % (11962)Memory used [KB]: 9083
% 2.44/0.72  % (11962)Time elapsed: 0.068 s
% 2.44/0.72  % (11962)Instructions burned: 100 (million)
% 2.44/0.72  % (11962)------------------------------
% 2.44/0.72  % (11962)------------------------------
% 2.44/0.73  % (11981)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.68/0.74  % (11951)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.68/0.75  % (11961)Instruction limit reached!
% 2.68/0.75  % (11961)------------------------------
% 2.68/0.75  % (11961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.75  % (11961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.75  % (11961)Termination reason: Unknown
% 2.68/0.75  % (11961)Termination phase: Property scanning
% 2.68/0.75  
% 2.68/0.75  % (11961)Memory used [KB]: 4349
% 2.68/0.75  % (11961)Time elapsed: 0.039 s
% 2.68/0.75  % (11961)Instructions burned: 52 (million)
% 2.68/0.75  % (11961)------------------------------
% 2.68/0.75  % (11961)------------------------------
% 2.68/0.76  % (11965)Instruction limit reached!
% 2.68/0.76  % (11965)------------------------------
% 2.68/0.76  % (11965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (11965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (11965)Termination reason: Unknown
% 2.68/0.76  % (11965)Termination phase: Property scanning
% 2.68/0.76  
% 2.68/0.76  % (11965)Memory used [KB]: 4861
% 2.68/0.76  % (11965)Time elapsed: 0.049 s
% 2.68/0.76  % (11965)Instructions burned: 69 (million)
% 2.68/0.76  % (11965)------------------------------
% 2.68/0.76  % (11965)------------------------------
% 2.68/0.77  % (11977)Instruction limit reached!
% 2.68/0.77  % (11977)------------------------------
% 2.68/0.77  % (11977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.77  % (11977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.77  % (11977)Termination reason: Unknown
% 2.68/0.77  % (11977)Termination phase: Property scanning
% 2.68/0.77  
% 2.68/0.77  % (11977)Memory used [KB]: 4861
% 2.68/0.77  % (11977)Time elapsed: 0.048 s
% 2.68/0.77  % (11977)Instructions burned: 68 (million)
% 2.68/0.77  % (11977)------------------------------
% 2.68/0.77  % (11977)------------------------------
% 2.68/0.77  % (11966)Instruction limit reached!
% 2.68/0.77  % (11966)------------------------------
% 2.68/0.77  % (11966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.77  % (11966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.77  % (11966)Termination reason: Unknown
% 2.68/0.77  % (11966)Termination phase: Property scanning
% 2.68/0.77  
% 2.68/0.77  % (11966)Memory used [KB]: 4477
% 2.68/0.77  % (11966)Time elapsed: 0.050 s
% 2.68/0.77  % (11966)Instructions burned: 75 (million)
% 2.68/0.77  % (11966)------------------------------
% 2.68/0.77  % (11966)------------------------------
% 3.05/0.84  % (11964)Instruction limit reached!
% 3.05/0.84  % (11964)------------------------------
% 3.05/0.84  % (11964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.84  % (11964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.84  % (11964)Termination reason: Unknown
% 3.05/0.84  % (11964)Termination phase: Saturation
% 3.05/0.84  
% 3.05/0.84  % (11964)Memory used [KB]: 9210
% 3.05/0.84  % (11964)Time elapsed: 0.059 s
% 3.05/0.84  % (11964)Instructions burned: 100 (million)
% 3.05/0.84  % (11964)------------------------------
% 3.05/0.84  % (11964)------------------------------
% 3.05/0.84  % (11969)Instruction limit reached!
% 3.05/0.84  % (11969)------------------------------
% 3.05/0.84  % (11969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.84  % (11969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.84  % (11969)Termination reason: Unknown
% 3.05/0.84  % (11969)Termination phase: Saturation
% 3.05/0.84  
% 3.05/0.84  % (11969)Memory used [KB]: 9338
% 3.05/0.84  % (11969)Time elapsed: 0.065 s
% 3.05/0.84  % (11969)Instructions burned: 100 (million)
% 3.05/0.84  % (11969)------------------------------
% 3.05/0.84  % (11969)------------------------------
% 3.05/0.85  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.05/0.85  % (11990)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.05/0.87  % (11960)Instruction limit reached!
% 3.05/0.87  % (11960)------------------------------
% 3.05/0.87  % (11960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.87  % (11960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.87  % (11960)Termination reason: Unknown
% 3.05/0.87  % (11960)Termination phase: Property scanning
% 3.05/0.87  
% 3.05/0.87  % (11960)Memory used [KB]: 4349
% 3.05/0.87  % (11960)Time elapsed: 0.040 s
% 3.05/0.87  % (11960)Instructions burned: 52 (million)
% 3.05/0.87  % (11960)------------------------------
% 3.05/0.87  % (11960)------------------------------
% 3.05/0.87  % (11978)Instruction limit reached!
% 3.05/0.87  % (11978)------------------------------
% 3.05/0.87  % (11978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.87  % (11978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.87  % (11978)Termination reason: Unknown
% 3.05/0.87  % (11978)Termination phase: Saturation
% 3.05/0.87  
% 3.05/0.87  % (11978)Memory used [KB]: 5373
% 3.05/0.87  % (11978)Time elapsed: 0.127 s
% 3.05/0.87  % (11978)Instructions burned: 178 (million)
% 3.05/0.87  % (11978)------------------------------
% 3.05/0.87  % (11978)------------------------------
% 3.05/0.87  % (11968)Instruction limit reached!
% 3.05/0.87  % (11968)------------------------------
% 3.05/0.87  % (11968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.87  % (11968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.87  % (11968)Termination reason: Unknown
% 3.05/0.87  % (11968)Termination phase: Function definition elimination
% 3.05/0.87  
% 3.05/0.87  % (11968)Memory used [KB]: 4349
% 3.05/0.87  % (11968)Time elapsed: 0.038 s
% 3.05/0.87  % (11968)Instructions burned: 59 (million)
% 3.05/0.87  % (11968)------------------------------
% 3.05/0.87  % (11968)------------------------------
% 3.05/0.87  % (11954)Instruction limit reached!
% 3.05/0.87  % (11954)------------------------------
% 3.05/0.87  % (11954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.87  % (11954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.87  % (11954)Termination reason: Unknown
% 3.05/0.87  % (11954)Termination phase: Function definition elimination
% 3.05/0.87  
% 3.05/0.87  % (11954)Memory used [KB]: 4221
% 3.05/0.87  % (11954)Time elapsed: 0.040 s
% 3.05/0.87  % (11954)Instructions burned: 52 (million)
% 3.05/0.87  % (11954)------------------------------
% 3.05/0.87  % (11954)------------------------------
% 3.05/0.88  % (11991)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.05/0.88  % (11982)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.05/0.88  % (11989)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.32/0.88  % (11971)Instruction limit reached!
% 3.32/0.88  % (11971)------------------------------
% 3.32/0.88  % (11971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.88  % (11971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.88  % (11971)Termination reason: Unknown
% 3.32/0.88  % (11971)Termination phase: Saturation
% 3.32/0.88  
% 3.32/0.88  % (11971)Memory used [KB]: 10106
% 3.32/0.88  % (11971)Time elapsed: 0.122 s
% 3.32/0.88  % (11971)Instructions burned: 176 (million)
% 3.32/0.88  % (11971)------------------------------
% 3.32/0.88  % (11971)------------------------------
% 3.32/0.93  % (11986)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.32/0.94  % (11985)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.32/0.94  % (11984)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.32/0.96  % (11972)Instruction limit reached!
% 3.32/0.96  % (11972)------------------------------
% 3.32/0.96  % (11972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.96  % (11972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.96  % (11972)Termination reason: Unknown
% 3.32/0.96  % (11972)Termination phase: Saturation
% 3.32/0.96  
% 3.32/0.96  % (11972)Memory used [KB]: 9594
% 3.32/0.96  % (11972)Time elapsed: 0.098 s
% 3.32/0.96  % (11972)Instructions burned: 138 (million)
% 3.32/0.96  % (11972)------------------------------
% 3.32/0.96  % (11972)------------------------------
% 3.56/0.98  % (11983)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.56/0.99  % (11992)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.56/1.00  % (11987)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.56/1.01  % (11993)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.56/1.01  % (11988)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.64/1.02  % (11994)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.64/1.03  % (11991)Instruction limit reached!
% 3.64/1.03  % (11991)------------------------------
% 3.64/1.03  % (11991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/1.03  % (11991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/1.03  % (11991)Termination reason: Unknown
% 3.64/1.03  % (11991)Termination phase: Property scanning
% 3.64/1.03  
% 3.64/1.03  % (11991)Memory used [KB]: 4733
% 3.64/1.03  % (11991)Time elapsed: 0.058 s
% 3.64/1.03  % (11991)Instructions burned: 91 (million)
% 3.64/1.03  % (11991)------------------------------
% 3.64/1.03  % (11991)------------------------------
% 3.64/1.04  % (11999)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 3.64/1.05  % (12002)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.64/1.08  % (11996)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.64/1.08  % (11997)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 5.22/1.09  % (11995)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 6.13/1.19  % (11979)First to succeed.
% 6.13/1.20  % (11979)Refutation found. Thanks to Tanya!
% 6.13/1.20  % SZS status Theorem for theBenchmark
% 6.13/1.20  % SZS output start Proof for theBenchmark
% See solution above
% 6.13/1.20  % (11979)------------------------------
% 6.13/1.20  % (11979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.13/1.20  % (11979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.13/1.20  % (11979)Termination reason: Refutation
% 6.13/1.20  
% 6.13/1.20  % (11979)Memory used [KB]: 11641
% 6.13/1.20  % (11979)Time elapsed: 0.748 s
% 6.13/1.20  % (11979)Instructions burned: 406 (million)
% 6.13/1.20  % (11979)------------------------------
% 6.13/1.20  % (11979)------------------------------
% 6.13/1.20  % (11950)Success in time 0.868 s
%------------------------------------------------------------------------------