TSTP Solution File: ITP010_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP010_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 : Sun May  5 06:47:15 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   57
% Syntax   : Number of formulae    :   67 (   3 unt;  55 typ;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   40 (  21   ~;  10   |;   4   &)
%                                         (   3 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   39 (  25   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   47 (  47 usr;  24 con; 0-2 aty)
%            Number of variables   :   24 (  12   !;  12   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    u: $tType ).

tff(type_def_6,type,
    d: $tType ).

tff(type_def_7,type,
    du: $tType ).

tff(type_def_8,type,
    mono_2Etyop_2Emin_2Ebool: $tType ).

tff(type_def_9,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(type_def_10,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(func_def_0,type,
    tyop_2Emin_2Ebool: d ).

tff(func_def_1,type,
    tyop_2Emin_2Efun: ( d * d ) > d ).

tff(func_def_2,type,
    s: ( d * u ) > du ).

tff(func_def_3,type,
    app_2E2: ( du * du ) > u ).

tff(func_def_4,type,
    combin_i_2E0: u ).

tff(func_def_5,type,
    combin_k_2E0: u ).

tff(func_def_6,type,
    combin_s_2E0: u ).

tff(func_def_7,type,
    c_2Ebool_2E_21_2E0: u ).

tff(func_def_8,type,
    c_2Ebool_2E_21_2E1: du > u ).

tff(func_def_9,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

tff(func_def_10,type,
    c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).

tff(func_def_11,type,
    c_2Emin_2E_3D_2E0: u ).

tff(func_def_12,type,
    c_2Emin_2E_3D_2E2: ( du * du ) > u ).

tff(func_def_13,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

tff(func_def_14,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).

tff(func_def_15,type,
    c_2Ebool_2E_3F_2E0: u ).

tff(func_def_16,type,
    c_2Ebool_2E_3F_2E1: du > u ).

tff(func_def_17,type,
    c_2Ebool_2EF_2E0: u ).

tff(func_def_18,type,
    c_2Ebool_2ET_2E0: u ).

tff(func_def_19,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

tff(func_def_20,type,
    c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).

tff(func_def_21,type,
    c_2Ecardinal_2Ecardleq_2E0: u ).

tff(func_def_22,type,
    c_2Ecardinal_2Ecardleq_2E2: ( du * du ) > u ).

tff(func_def_23,type,
    c_2Ebool_2E_7E_2E0: u ).

tff(func_def_24,type,
    c_2Ebool_2E_7E_2E1: du > u ).

tff(func_def_25,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_26,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_27,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_28,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_29,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_30,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_31,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_32,type,
    mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_33,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_34,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_35,type,
    mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_36,type,
    mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_37,type,
    i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).

tff(func_def_38,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).

tff(func_def_39,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(func_def_40,type,
    j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_41,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_42,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_43,type,
    sK1: d ).

tff(func_def_44,type,
    sK2: d ).

tff(func_def_45,type,
    sK3: u ).

tff(func_def_46,type,
    sK4: u ).

tff(pred_def_1,type,
    p: mono_2Etyop_2Emin_2Ebool > $o ).

tff(pred_def_2,type,
    sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f85,f86]) ).

tff(f86,plain,
    p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))),
    inference(duplicate_literal_removal,[],[f69]) ).

tff(f69,plain,
    ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))))
    | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))) ),
    inference(cnf_transformation,[],[f60]) ).

tff(f60,plain,
    ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))))
      | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))) )
    & ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))))
      | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f58,f59]) ).

tff(f59,plain,
    ( ? [X0: d,X1: d,X2: u,X3: u] :
        ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
          | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) )
        & ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
          | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ) )
   => ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))))
        | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))) )
      & ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))))
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f58,plain,
    ? [X0: d,X1: d,X2: u,X3: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) )
      & ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ) ),
    inference(nnf_transformation,[],[f55]) ).

tff(f55,plain,
    ? [X0: d,X1: d,X2: u,X3: u] :
      ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
    <~> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ),
    inference(ennf_transformation,[],[f50]) ).

tff(f50,plain,
    ~ ! [X0: d,X1: d,X2: u,X3: u] :
        ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
      <=> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ),
    inference(rectify,[],[f49]) ).

tff(f49,negated_conjecture,
    ~ ! [X0: d,X1: d,X14: u,X15: u] :
        ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))))
      <=> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))) ),
    inference(negated_conjecture,[],[f48]) ).

tff(f48,conjecture,
    ! [X0: d,X1: d,X14: u,X15: u] :
      ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))))
    <=> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.rHMOioCH7B/Vampire---4.8_29584',thm_2Ecardinal_2ECARD__NOT__LE) ).

tff(f85,plain,
    ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))),
    inference(duplicate_literal_removal,[],[f68]) ).

tff(f68,plain,
    ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))))
    | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))) ),
    inference(cnf_transformation,[],[f60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP010_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 18:59:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_NAR problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.rHMOioCH7B/Vampire---4.8_29584
% 0.54/0.75  % (29761)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.75  % (29760)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.75  % (29761)First to succeed.
% 0.54/0.75  % (29754)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.75  % (29756)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (29755)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.75  % (29757)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.75  % (29758)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.75  % (29759)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.75  % (29761)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29753"
% 0.54/0.75  % (29761)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (29761)------------------------------
% 0.54/0.75  % (29761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (29761)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (29761)Memory used [KB]: 1055
% 0.54/0.75  % (29761)Time elapsed: 0.002 s
% 0.54/0.75  % (29761)Instructions burned: 4 (million)
% 0.54/0.75  % (29753)Success in time 0.382 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------