TSTP Solution File: SWW368+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW368+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n022.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 : Fri Sep  1 01:01:06 EDT 2023

% Result   : Theorem 8.57s 2.52s
% Output   : Refutation 8.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   47 (  24 unt;   0 def)
%            Number of atoms       :   86 (  23 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   71 (  32   ~;  23   |;   6   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   9 con; 0-3 aty)
%            Number of variables   :   84 (;  84   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25866,plain,
    $false,
    inference(subsumption_resolution,[],[f25858,f16641]) ).

fof(f16641,plain,
    hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
    inference(cnf_transformation,[],[f5224]) ).

fof(f5224,axiom,
    hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',conj_0) ).

fof(f25858,plain,
    ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
    inference(resolution,[],[f25857,f21986]) ).

fof(f21986,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2)))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)) ),
    inference(cnf_transformation,[],[f13226]) ).

fof(f13226,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2)))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)) ),
    inference(ennf_transformation,[],[f8896]) ).

fof(f8896,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2))) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6,X7,X8] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X8),X7))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X6),hAPP(c_Set_Oimage(X8,X6,X5),X7))) ),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',fact_finite__imageI) ).

fof(f25857,plain,
    ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    inference(subsumption_resolution,[],[f25856,f16980]) ).

fof(f16980,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(cnf_transformation,[],[f5249]) ).

fof(f5249,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(rectify,[],[f83]) ).

fof(f83,axiom,
    ! [X22] : hAPP(c_Nat_OSuc,X22) != X22,
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',fact_Suc__n__not__n) ).

fof(f25856,plain,
    ( hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
    inference(forward_demodulation,[],[f25855,f24548]) ).

fof(f24548,plain,
    v_U = hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),v_U),
    inference(resolution,[],[f16642,f20467]) ).

fof(f20467,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
      | hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = X0 ),
    inference(cnf_transformation,[],[f12324]) ).

fof(f12324,plain,
    ! [X0,X1,X2] :
      ( hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = X0
      | ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
    inference(ennf_transformation,[],[f7935]) ).

fof(f7935,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
     => hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = X0 ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X10,X11,X8] :
      ( hBOOL(hAPP(hAPP(c_member(X8),X11),X10))
     => hAPP(hAPP(c_Set_Oinsert(X8),X11),X10) = X10 ),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',fact_insert__absorb) ).

fof(f16642,plain,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
    inference(cnf_transformation,[],[f5228]) ).

fof(f5228,axiom,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',conj_4) ).

fof(f25855,plain,
    ( hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) = hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),v_U)))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
    inference(forward_demodulation,[],[f25854,f22638]) ).

fof(f22638,plain,
    ! [X2,X3,X0,X1,X4] : hAPP(c_Set_Oimage(X4,X3,X2),hAPP(hAPP(c_Set_Oinsert(X4),X1),X0)) = hAPP(hAPP(c_Set_Oinsert(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X4,X3,X2),X0)),
    inference(cnf_transformation,[],[f9263]) ).

fof(f9263,plain,
    ! [X0,X1,X2,X3,X4] : hAPP(c_Set_Oimage(X4,X3,X2),hAPP(hAPP(c_Set_Oinsert(X4),X1),X0)) = hAPP(hAPP(c_Set_Oinsert(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X4,X3,X2),X0)),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X14,X11,X1,X8,X6] : hAPP(c_Set_Oimage(X6,X8,X1),hAPP(hAPP(c_Set_Oinsert(X6),X11),X14)) = hAPP(hAPP(c_Set_Oinsert(X8),hAPP(X1,X11)),hAPP(c_Set_Oimage(X6,X8,X1),X14)),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',fact_image__insert) ).

fof(f25854,plain,
    ( hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) = hAPP(c_Finite__Set_Ocard(t_a),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
    inference(forward_demodulation,[],[f25851,f17102]) ).

fof(f17102,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0),
    inference(cnf_transformation,[],[f5371]) ).

fof(f5371,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0),
    inference(rectify,[],[f294]) ).

fof(f294,axiom,
    ! [X22] : hAPP(c_Nat_OSuc,X22) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X22),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',fact_Suc__eq__plus1__left) ).

fof(f25851,plain,
    ( hAPP(c_Finite__Set_Ocard(t_a),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
    inference(resolution,[],[f25702,f20350]) ).

fof(f20350,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(X2),X0),X1))
      | hAPP(c_Finite__Set_Ocard(X2),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X2),X1))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)) ),
    inference(cnf_transformation,[],[f12203]) ).

fof(f12203,plain,
    ! [X0,X1,X2] :
      ( hAPP(c_Finite__Set_Ocard(X2),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X2),X1))
      | hBOOL(hAPP(hAPP(c_member(X2),X0),X1))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)) ),
    inference(flattening,[],[f12202]) ).

fof(f12202,plain,
    ! [X0,X1,X2] :
      ( hAPP(c_Finite__Set_Ocard(X2),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X2),X1))
      | hBOOL(hAPP(hAPP(c_member(X2),X0),X1))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)) ),
    inference(ennf_transformation,[],[f7853]) ).

fof(f7853,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1))
     => ( ~ hBOOL(hAPP(hAPP(c_member(X2),X0),X1))
       => hAPP(c_Finite__Set_Ocard(X2),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X2),X1)) ) ),
    inference(rectify,[],[f300]) ).

fof(f300,axiom,
    ! [X9,X10,X8] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X8),X10))
     => ( ~ hBOOL(hAPP(hAPP(c_member(X8),X9),X10))
       => hAPP(c_Finite__Set_Ocard(X8),hAPP(hAPP(c_Set_Oinsert(X8),X9),X10)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X8),X10)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',fact_card_Oinsert) ).

fof(f25702,plain,
    ~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    inference(subsumption_resolution,[],[f25700,f16644]) ).

fof(f16644,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    inference(cnf_transformation,[],[f5225]) ).

fof(f5225,axiom,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',conj_1) ).

fof(f25700,plain,
    ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
    | ~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
    inference(resolution,[],[f16640,f22469]) ).

fof(f22469,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
      | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ),
    inference(cnf_transformation,[],[f16138]) ).

fof(f16138,plain,
    ! [X0,X1,X2,X3] :
      ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
        | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
      & ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
          & hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
    inference(flattening,[],[f16137]) ).

fof(f16137,plain,
    ! [X0,X1,X2,X3] :
      ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
        | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
      & ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
          & hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
    inference(nnf_transformation,[],[f9192]) ).

fof(f9192,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
    <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
        & hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) ),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X14,X10,X9,X8] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X8,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X8),X9),X10)),X14))
    <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X8,tc_HOL_Obool)),X10),X14))
        & hBOOL(hAPP(hAPP(c_member(X8),X9),X14)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',fact_insert__subset) ).

fof(f16640,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    inference(cnf_transformation,[],[f5232]) ).

fof(f5232,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    inference(flattening,[],[f5231]) ).

fof(f5231,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    inference(negated_conjecture,[],[f5230]) ).

fof(f5230,conjecture,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    file('/export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170',conj_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.67/0.89  % Problem    : SWW368+1 : TPTP v8.1.2. Released v5.2.0.
% 0.67/0.90  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.89/1.10  % Computer : n022.cluster.edu
% 0.89/1.10  % Model    : x86_64 x86_64
% 0.89/1.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.89/1.10  % Memory   : 8042.1875MB
% 0.89/1.10  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.89/1.10  % CPULimit   : 300
% 0.89/1.10  % WCLimit    : 300
% 0.89/1.10  % DateTime   : Sun Aug 27 22:11:40 EDT 2023
% 0.89/1.10  % CPUTime    : 
% 0.89/1.10  This is a FOF_CAX_RFO_SEQ problem
% 0.89/1.10  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.jcqutS03VK/Vampire---4.8_3170
% 0.89/1.10  % (3310)Running in auto input_syntax mode. Trying TPTP
% 0.94/1.42  % (3311)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.94/1.42  % (3317)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.94/1.44  % (3314)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.94/1.44  % (3316)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.94/1.44  % (3315)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.94/1.45  % (3312)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 0.94/1.45  % (3313)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 8.57/2.51  % (3311)First to succeed.
% 8.57/2.52  % (3311)Refutation found. Thanks to Tanya!
% 8.57/2.52  % SZS status Theorem for Vampire---4
% 8.57/2.52  % SZS output start Proof for Vampire---4
% See solution above
% 8.57/2.52  % (3311)------------------------------
% 8.57/2.52  % (3311)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.57/2.52  % (3311)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.57/2.52  % (3311)Termination reason: Refutation
% 8.57/2.52  
% 8.57/2.52  % (3311)Memory used [KB]: 27632
% 8.57/2.52  % (3311)Time elapsed: 1.096 s
% 8.57/2.52  % (3311)------------------------------
% 8.57/2.52  % (3311)------------------------------
% 8.57/2.52  % (3310)Success in time 1.411 s
% 8.57/2.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------