TSTP Solution File: NUM925+5 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.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 18:03:04 EDT 2022

% Result   : Theorem 1.61s 0.57s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   88 (  58 unt;   0 def)
%            Number of atoms       :  138 ( 115 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   93 (  43   ~;  38   |;   3   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   92 (  92   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1704,plain,
    $false,
    inference(subsumption_resolution,[],[f1703,f491]) ).

fof(f491,plain,
    ~ ord_less(int,pls,pls),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,axiom,
    ~ ord_less(int,pls,pls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_rel__simps_I2_J) ).

fof(f1703,plain,
    ord_less(int,pls,pls),
    inference(forward_demodulation,[],[f1702,f436]) ).

fof(f436,plain,
    pls = zero_zero(int),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Pls__def) ).

fof(f1702,plain,
    ord_less(int,zero_zero(int),pls),
    inference(backward_demodulation,[],[f423,f1700]) ).

fof(f1700,plain,
    pls = plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),
    inference(trivial_inequality_removal,[],[f1693]) ).

fof(f1693,plain,
    ( pls != pls
    | pls = plus_plus(int,one_one(int),semiring_1_of_nat(int,n)) ),
    inference(superposition,[],[f1430,f680]) ).

fof(f680,plain,
    pls = power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(nat,one_one(nat),one_one(nat))),
    inference(forward_demodulation,[],[f679,f436]) ).

fof(f679,plain,
    zero_zero(int) = power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(nat,one_one(nat),one_one(nat))),
    inference(forward_demodulation,[],[f619,f668]) ).

fof(f668,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),
    inference(definition_unfolding,[],[f597,f471,f456]) ).

fof(f456,plain,
    ! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
    inference(rectify,[],[f125]) ).

fof(f125,axiom,
    ! [X18] : bit1(X18) = plus_plus(int,plus_plus(int,one_one(int),X18),X18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_Bit1__def) ).

fof(f471,plain,
    ! [X0] : bit0(X0) = plus_plus(int,X0,X0),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0] : bit0(X0) = plus_plus(int,X0,X0),
    inference(rectify,[],[f111]) ).

fof(f111,axiom,
    ! [X18] : bit0(X18) = plus_plus(int,X18,X18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_Bit0__def) ).

fof(f597,plain,
    number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_nat__1__add__1) ).

fof(f619,plain,
    zero_zero(int) = power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),
    inference(definition_unfolding,[],[f460,f471,f456]) ).

fof(f460,plain,
    zero_zero(int) = power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    zero_zero(int) = power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))),
    inference(flattening,[],[f154]) ).

fof(f154,negated_conjecture,
    ~ ( zero_zero(int) != power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))) ),
    inference(negated_conjecture,[],[f153]) ).

fof(f153,conjecture,
    zero_zero(int) != power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1430,plain,
    ! [X0] :
      ( pls != power_power(int,X0,plus_plus(nat,one_one(nat),one_one(nat)))
      | pls = X0 ),
    inference(forward_demodulation,[],[f1429,f436]) ).

fof(f1429,plain,
    ! [X0] :
      ( zero_zero(int) = X0
      | pls != power_power(int,X0,plus_plus(nat,one_one(nat),one_one(nat))) ),
    inference(forward_demodulation,[],[f1428,f916]) ).

fof(f916,plain,
    ! [X0] : ti(int,X0) = X0,
    inference(equality_resolution,[],[f703]) ).

fof(f703,plain,
    ! [X2,X1] :
      ( plus_plus(int,X1,X1) != plus_plus(int,X2,X2)
      | ti(int,X1) = X2 ),
    inference(superposition,[],[f614,f648]) ).

fof(f648,plain,
    ! [X0] : plus_plus(int,ti(int,X0),ti(int,X0)) = plus_plus(int,X0,X0),
    inference(definition_unfolding,[],[f534,f471,f471]) ).

fof(f534,plain,
    ! [X0] : bit0(X0) = bit0(ti(int,X0)),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0] : bit0(X0) = bit0(ti(int,X0)),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1] : bit0(ti(int,X1)) = bit0(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_arg1) ).

fof(f614,plain,
    ! [X0,X1] :
      ( plus_plus(int,X1,X1) != plus_plus(int,X0,X0)
      | X0 = X1 ),
    inference(definition_unfolding,[],[f430,f471,f471]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( X0 = X1
      | bit0(X1) != bit0(X0) ),
    inference(cnf_transformation,[],[f333]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ( bit0(X1) = bit0(X0)
        | X0 != X1 )
      & ( X0 = X1
        | bit0(X1) != bit0(X0) ) ),
    inference(nnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( bit0(X1) = bit0(X0)
    <=> X0 = X1 ),
    inference(rectify,[],[f76]) ).

fof(f76,axiom,
    ! [X11,X10] :
      ( bit0(X10) = bit0(X11)
    <=> X10 = X11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_rel__simps_I48_J) ).

fof(f1428,plain,
    ! [X0] :
      ( zero_zero(int) = ti(int,X0)
      | pls != power_power(int,X0,plus_plus(nat,one_one(nat),one_one(nat))) ),
    inference(forward_demodulation,[],[f1427,f436]) ).

fof(f1427,plain,
    ! [X0] :
      ( zero_zero(int) != power_power(int,X0,plus_plus(nat,one_one(nat),one_one(nat)))
      | zero_zero(int) = ti(int,X0) ),
    inference(resolution,[],[f1062,f497]) ).

fof(f497,plain,
    ring_11004092258visors(int),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,axiom,
    ring_11004092258visors(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Oring__1__no__zero__divisors) ).

fof(f1062,plain,
    ! [X0,X1] :
      ( ~ ring_11004092258visors(X0)
      | ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,plus_plus(nat,one_one(nat),one_one(nat))) ),
    inference(forward_demodulation,[],[f1061,f978]) ).

fof(f978,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),one_one(int))),
    inference(forward_demodulation,[],[f977,f445]) ).

fof(f445,plain,
    ! [X0] : plus_plus(int,X0,pls) = X0,
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0] : plus_plus(int,X0,pls) = X0,
    inference(rectify,[],[f108]) ).

fof(f108,axiom,
    ! [X18] : plus_plus(int,X18,pls) = X18,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_add__Pls__right) ).

fof(f977,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),pls))),
    inference(forward_demodulation,[],[f976,f675]) ).

fof(f675,plain,
    pls = plus_plus(int,pls,pls),
    inference(equality_resolution,[],[f653]) ).

fof(f653,plain,
    ! [X0] :
      ( pls = plus_plus(int,X0,X0)
      | pls != X0 ),
    inference(definition_unfolding,[],[f546,f471]) ).

fof(f546,plain,
    ! [X0] :
      ( pls = bit0(X0)
      | pls != X0 ),
    inference(cnf_transformation,[],[f372]) ).

fof(f372,plain,
    ! [X0] :
      ( ( pls = X0
        | pls != bit0(X0) )
      & ( pls = bit0(X0)
        | pls != X0 ) ),
    inference(nnf_transformation,[],[f235]) ).

fof(f235,plain,
    ! [X0] :
      ( pls = X0
    <=> pls = bit0(X0) ),
    inference(rectify,[],[f104]) ).

fof(f104,axiom,
    ! [X11] :
      ( pls = X11
    <=> pls = bit0(X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_rel__simps_I38_J) ).

fof(f976,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,pls,pls)))),
    inference(forward_demodulation,[],[f975,f520]) ).

fof(f520,plain,
    ! [X0] : plus_plus(int,pls,X0) = X0,
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] : plus_plus(int,pls,X0) = X0,
    inference(rectify,[],[f109]) ).

fof(f109,axiom,
    ! [X18] : plus_plus(int,pls,X18) = X18,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_add__Pls) ).

fof(f975,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,pls,pls))))),
    inference(forward_demodulation,[],[f974,f455]) ).

fof(f455,plain,
    ! [X2,X0,X1] : plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,plus_plus(int,X0,X1),X2),
    inference(cnf_transformation,[],[f339]) ).

fof(f339,plain,
    ! [X0,X1,X2] : plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,plus_plus(int,X0,X1),X2),
    inference(rectify,[],[f231]) ).

fof(f231,plain,
    ! [X0,X2,X1] : plus_plus(int,X0,plus_plus(int,X2,X1)) = plus_plus(int,plus_plus(int,X0,X2),X1),
    inference(rectify,[],[f78]) ).

fof(f78,axiom,
    ! [X23,X25,X24] : plus_plus(int,plus_plus(int,X23,X24),X25) = plus_plus(int,X23,plus_plus(int,X24,X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_zadd__assoc) ).

fof(f974,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,pls,pls)))),
    inference(forward_demodulation,[],[f973,f520]) ).

fof(f973,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,pls,pls))))),
    inference(forward_demodulation,[],[f972,f455]) ).

fof(f972,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,pls,pls)))),
    inference(backward_demodulation,[],[f668,f935]) ).

fof(f935,plain,
    ! [X8,X7] : plus_plus(int,X8,plus_plus(int,X8,plus_plus(int,X7,X7))) = plus_plus(int,plus_plus(int,X8,X7),plus_plus(int,X8,X7)),
    inference(backward_demodulation,[],[f718,f916]) ).

fof(f718,plain,
    ! [X8,X7] : plus_plus(int,X8,plus_plus(int,X8,plus_plus(int,X7,X7))) = plus_plus(int,plus_plus(int,X8,ti(int,X7)),plus_plus(int,X8,ti(int,X7))),
    inference(forward_demodulation,[],[f706,f455]) ).

fof(f706,plain,
    ! [X8,X7] : plus_plus(int,plus_plus(int,X8,X8),plus_plus(int,X7,X7)) = plus_plus(int,plus_plus(int,X8,ti(int,X7)),plus_plus(int,X8,ti(int,X7))),
    inference(superposition,[],[f615,f648]) ).

fof(f615,plain,
    ! [X0,X1] : plus_plus(int,plus_plus(int,X1,X0),plus_plus(int,X1,X0)) = plus_plus(int,plus_plus(int,X1,X1),plus_plus(int,X0,X0)),
    inference(definition_unfolding,[],[f435,f471,f471,f471]) ).

fof(f435,plain,
    ! [X0,X1] : bit0(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit0(X0)),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0,X1] : bit0(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit0(X0)),
    inference(rectify,[],[f110]) ).

fof(f110,axiom,
    ! [X28,X18] : plus_plus(int,bit0(X18),bit0(X28)) = bit0(plus_plus(int,X18,X28)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_add__Bit0__Bit0) ).

fof(f1061,plain,
    ! [X0,X1] :
      ( ~ ring_11004092258visors(X0)
      | ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))) ),
    inference(forward_demodulation,[],[f1060,f445]) ).

fof(f1060,plain,
    ! [X0,X1] :
      ( ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),pls))))
      | ~ ring_11004092258visors(X0) ),
    inference(forward_demodulation,[],[f1059,f675]) ).

fof(f1059,plain,
    ! [X0,X1] :
      ( ti(X0,X1) = zero_zero(X0)
      | ~ ring_11004092258visors(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,pls,pls))))) ),
    inference(forward_demodulation,[],[f1058,f520]) ).

fof(f1058,plain,
    ! [X0,X1] :
      ( ~ ring_11004092258visors(X0)
      | ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,pls,pls)))))) ),
    inference(forward_demodulation,[],[f1057,f455]) ).

fof(f1057,plain,
    ! [X0,X1] :
      ( ~ ring_11004092258visors(X0)
      | ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,pls,pls))))) ),
    inference(forward_demodulation,[],[f1056,f520]) ).

fof(f1056,plain,
    ! [X0,X1] :
      ( zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,pls,pls))))))
      | ~ ring_11004092258visors(X0)
      | ti(X0,X1) = zero_zero(X0) ),
    inference(forward_demodulation,[],[f964,f455]) ).

fof(f964,plain,
    ! [X0,X1] :
      ( ~ ring_11004092258visors(X0)
      | ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,pls,pls))))) ),
    inference(backward_demodulation,[],[f630,f935]) ).

fof(f630,plain,
    ! [X0,X1] :
      ( ~ ring_11004092258visors(X0)
      | ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))) ),
    inference(definition_unfolding,[],[f494,f471,f456]) ).

fof(f494,plain,
    ! [X0,X1] :
      ( ti(X0,X1) = zero_zero(X0)
      | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))
      | ~ ring_11004092258visors(X0) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f349,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( zero_zero(X0) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))
            | ti(X0,X1) != zero_zero(X0) )
          & ( ti(X0,X1) = zero_zero(X0)
            | zero_zero(X0) != power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) )
      | ~ ring_11004092258visors(X0) ),
    inference(nnf_transformation,[],[f318]) ).

fof(f318,plain,
    ! [X0] :
      ( ! [X1] :
          ( zero_zero(X0) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))
        <=> ti(X0,X1) = zero_zero(X0) )
      | ~ ring_11004092258visors(X0) ),
    inference(ennf_transformation,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ring_11004092258visors(X0)
     => ! [X1] :
          ( zero_zero(X0) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))
        <=> ti(X0,X1) = zero_zero(X0) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ring_11004092258visors(X0)
     => ! [X5] :
          ( zero_zero(X0) = ti(X0,X5)
        <=> zero_zero(X0) = power_power(X0,X5,number_number_of(nat,bit0(bit1(pls)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_zero__eq__power2) ).

fof(f423,plain,
    ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 09:33:44 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (23617)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.47  % (23638)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48  % (23630)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48  % (23623)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.48  % (23630)Instruction limit reached!
% 0.18/0.48  % (23630)------------------------------
% 0.18/0.48  % (23630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (23630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (23630)Termination reason: Unknown
% 0.18/0.49  % (23630)Termination phase: Property scanning
% 0.18/0.49  
% 0.18/0.49  % (23630)Memory used [KB]: 1535
% 0.18/0.49  % (23630)Time elapsed: 0.004 s
% 0.18/0.49  % (23630)Instructions burned: 3 (million)
% 0.18/0.49  % (23630)------------------------------
% 0.18/0.49  % (23630)------------------------------
% 0.18/0.49  % (23623)Instruction limit reached!
% 0.18/0.49  % (23623)------------------------------
% 0.18/0.49  % (23623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (23623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (23623)Termination reason: Unknown
% 0.18/0.49  % (23623)Termination phase: Function definition elimination
% 0.18/0.49  
% 0.18/0.49  % (23623)Memory used [KB]: 1663
% 0.18/0.49  % (23623)Time elapsed: 0.005 s
% 0.18/0.49  % (23623)Instructions burned: 7 (million)
% 0.18/0.49  % (23623)------------------------------
% 0.18/0.49  % (23623)------------------------------
% 0.18/0.50  % (23617)Instruction limit reached!
% 0.18/0.50  % (23617)------------------------------
% 0.18/0.50  % (23617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (23617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (23617)Termination reason: Unknown
% 0.18/0.50  % (23617)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (23617)Memory used [KB]: 6524
% 0.18/0.50  % (23617)Time elapsed: 0.109 s
% 0.18/0.50  % (23617)Instructions burned: 39 (million)
% 0.18/0.50  % (23617)------------------------------
% 0.18/0.50  % (23617)------------------------------
% 0.18/0.51  % (23611)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.51  % (23612)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.52  % (23640)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52  % (23616)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52  % (23627)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (23635)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.52  % (23627)Instruction limit reached!
% 0.18/0.52  % (23627)------------------------------
% 0.18/0.52  % (23627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (23634)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.53  % (23620)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.53  % (23631)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.53  % (23639)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.53  % (23641)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.53  % (23627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (23627)Termination reason: Unknown
% 0.18/0.53  % (23627)Termination phase: Property scanning
% 0.18/0.53  
% 0.18/0.53  % (23627)Memory used [KB]: 1663
% 0.18/0.53  % (23627)Time elapsed: 0.005 s
% 0.18/0.53  % (23627)Instructions burned: 9 (million)
% 0.18/0.53  % (23627)------------------------------
% 0.18/0.53  % (23627)------------------------------
% 0.18/0.53  % (23613)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (23614)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (23631)Instruction limit reached!
% 0.18/0.53  % (23631)------------------------------
% 0.18/0.53  % (23631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (23631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (23631)Termination reason: Unknown
% 0.18/0.53  % (23631)Termination phase: Property scanning
% 0.18/0.53  
% 0.18/0.53  % (23631)Memory used [KB]: 1791
% 0.18/0.53  % (23631)Time elapsed: 0.006 s
% 0.18/0.53  % (23631)Instructions burned: 12 (million)
% 0.18/0.53  % (23631)------------------------------
% 0.18/0.53  % (23631)------------------------------
% 0.18/0.53  % (23613)Instruction limit reached!
% 0.18/0.53  % (23613)------------------------------
% 0.18/0.53  % (23613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (23613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (23613)Termination reason: Unknown
% 0.18/0.53  % (23613)Termination phase: Preprocessing 3
% 0.18/0.53  
% 0.18/0.53  % (23613)Memory used [KB]: 1663
% 0.18/0.53  % (23613)Time elapsed: 0.003 s
% 0.18/0.53  % (23613)Instructions burned: 4 (million)
% 0.18/0.53  % (23613)------------------------------
% 0.18/0.53  % (23613)------------------------------
% 1.41/0.53  % (23616)Instruction limit reached!
% 1.41/0.53  % (23616)------------------------------
% 1.41/0.53  % (23616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (23616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (23616)Termination reason: Unknown
% 1.41/0.53  % (23616)Termination phase: Saturation
% 1.41/0.53  
% 1.41/0.53  % (23616)Memory used [KB]: 1918
% 1.41/0.53  % (23616)Time elapsed: 0.140 s
% 1.41/0.53  % (23616)Instructions burned: 16 (million)
% 1.41/0.53  % (23616)------------------------------
% 1.41/0.53  % (23616)------------------------------
% 1.41/0.53  % (23640)Instruction limit reached!
% 1.41/0.53  % (23640)------------------------------
% 1.41/0.53  % (23640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (23640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (23640)Termination reason: Unknown
% 1.41/0.53  % (23640)Termination phase: Property scanning
% 1.41/0.53  
% 1.41/0.53  % (23640)Memory used [KB]: 1663
% 1.41/0.53  % (23640)Time elapsed: 0.007 s
% 1.41/0.53  % (23640)Instructions burned: 9 (million)
% 1.41/0.53  % (23640)------------------------------
% 1.41/0.53  % (23640)------------------------------
% 1.41/0.53  % (23614)Refutation not found, incomplete strategy% (23614)------------------------------
% 1.41/0.53  % (23614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (23614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (23614)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.53  
% 1.41/0.53  % (23614)Memory used [KB]: 6268
% 1.41/0.53  % (23614)Time elapsed: 0.139 s
% 1.41/0.53  % (23614)Instructions burned: 9 (million)
% 1.41/0.53  % (23614)------------------------------
% 1.41/0.53  % (23614)------------------------------
% 1.41/0.53  % (23626)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.54  % (23621)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.41/0.54  % (23626)Instruction limit reached!
% 1.41/0.54  % (23626)------------------------------
% 1.41/0.54  % (23626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (23626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (23626)Termination reason: Unknown
% 1.41/0.54  % (23626)Termination phase: Preprocessing 3
% 1.41/0.54  
% 1.41/0.54  % (23626)Memory used [KB]: 1663
% 1.41/0.54  % (23626)Time elapsed: 0.005 s
% 1.41/0.54  % (23626)Instructions burned: 4 (million)
% 1.41/0.54  % (23626)------------------------------
% 1.41/0.54  % (23626)------------------------------
% 1.41/0.54  % (23637)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.41/0.54  % (23625)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54  % (23615)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.41/0.54  % (23612)Instruction limit reached!
% 1.41/0.54  % (23612)------------------------------
% 1.41/0.54  % (23612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (23612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (23612)Termination reason: Unknown
% 1.41/0.54  % (23612)Termination phase: Saturation
% 1.41/0.54  
% 1.41/0.54  % (23612)Memory used [KB]: 6396
% 1.41/0.54  % (23612)Time elapsed: 0.137 s
% 1.41/0.54  % (23612)Instructions burned: 14 (million)
% 1.41/0.54  % (23612)------------------------------
% 1.41/0.54  % (23612)------------------------------
% 1.41/0.54  % (23633)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.54  % (23632)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.41/0.54  % (23618)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.41/0.54  % (23629)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.55  % (23629)Instruction limit reached!
% 1.41/0.55  % (23629)------------------------------
% 1.41/0.55  % (23629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (23615)Instruction limit reached!
% 1.41/0.55  % (23615)------------------------------
% 1.41/0.55  % (23615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (23636)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.61/0.55  % (23628)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.61/0.55  % (23624)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.61/0.55  % (23620)Instruction limit reached!
% 1.61/0.55  % (23620)------------------------------
% 1.61/0.55  % (23620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.55  % (23620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.55  % (23620)Termination reason: Unknown
% 1.61/0.55  % (23620)Termination phase: Saturation
% 1.61/0.55  
% 1.61/0.55  % (23620)Memory used [KB]: 6652
% 1.61/0.55  % (23620)Time elapsed: 0.120 s
% 1.61/0.55  % (23620)Instructions burned: 33 (million)
% 1.61/0.55  % (23620)------------------------------
% 1.61/0.55  % (23620)------------------------------
% 1.61/0.55  % (23629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.55  % (23629)Termination reason: Unknown
% 1.61/0.55  % (23629)Termination phase: Preprocessing 2
% 1.61/0.55  
% 1.61/0.55  % (23629)Memory used [KB]: 1535
% 1.61/0.55  % (23629)Time elapsed: 0.002 s
% 1.61/0.55  % (23629)Instructions burned: 3 (million)
% 1.61/0.55  % (23629)------------------------------
% 1.61/0.55  % (23629)------------------------------
% 1.61/0.55  % (23619)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.61/0.57  % (23615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (23615)Termination reason: Unknown
% 1.61/0.57  % (23615)Termination phase: Saturation
% 1.61/0.57  % (23621)Instruction limit reached!
% 1.61/0.57  % (23621)------------------------------
% 1.61/0.57  % (23621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  
% 1.61/0.57  % (23615)Memory used [KB]: 6268
% 1.61/0.57  % (23615)Time elapsed: 0.007 s
% 1.61/0.57  % (23615)Instructions burned: 14 (million)
% 1.61/0.57  % (23615)------------------------------
% 1.61/0.57  % (23615)------------------------------
% 1.61/0.57  % (23621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (23621)Termination reason: Unknown
% 1.61/0.57  % (23621)Termination phase: Property scanning
% 1.61/0.57  
% 1.61/0.57  % (23621)Memory used [KB]: 1791
% 1.61/0.57  % (23621)Time elapsed: 0.007 s
% 1.61/0.57  % (23621)Instructions burned: 13 (million)
% 1.61/0.57  % (23621)------------------------------
% 1.61/0.57  % (23621)------------------------------
% 1.61/0.57  % (23639)Instruction limit reached!
% 1.61/0.57  % (23639)------------------------------
% 1.61/0.57  % (23639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (23638)First to succeed.
% 1.61/0.57  % (23638)Refutation found. Thanks to Tanya!
% 1.61/0.57  % SZS status Theorem for theBenchmark
% 1.61/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.58  % (23638)------------------------------
% 1.61/0.58  % (23638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.58  % (23638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.58  % (23638)Termination reason: Refutation
% 1.61/0.58  
% 1.61/0.58  % (23638)Memory used [KB]: 7419
% 1.61/0.58  % (23638)Time elapsed: 0.180 s
% 1.61/0.58  % (23638)Instructions burned: 71 (million)
% 1.61/0.58  % (23638)------------------------------
% 1.61/0.58  % (23638)------------------------------
% 1.61/0.58  % (23610)Success in time 0.224 s
%------------------------------------------------------------------------------