TSTP Solution File: ITP013_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP013_1 : TPTP v8.2.0. 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 : n008.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 : Mon May 20 22:30:53 EDT 2024

% Result   : Theorem 0.89s 0.92s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  109
% Syntax   : Number of formulae    :  161 (  24 unt;  95 typ;   0 def)
%            Number of atoms       :  161 (  86 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  144 (  49   ~;  50   |;  28   &)
%                                         (  13 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  :   80 (  50   >;  30   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :   83 (  83 usr;  34 con; 0-4 aty)
%            Number of variables   :   94 (  88   !;   6   ?;  94   :)

% 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(type_def_11,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(type_def_12,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(type_def_13,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: $tType ).

tff(type_def_14,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType ).

tff(type_def_15,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

tff(func_def_0,type,
    tyop_2Efcp_2Ecart: ( d * d ) > d ).

tff(func_def_1,type,
    tyop_2Emin_2Ebool: d ).

tff(func_def_2,type,
    tyop_2Emin_2Efun: ( d * d ) > d ).

tff(func_def_3,type,
    tyop_2Enum_2Enum: d ).

tff(func_def_4,type,
    s: ( d * u ) > du ).

tff(func_def_5,type,
    app_2E2: ( du * du ) > u ).

tff(func_def_6,type,
    combin_i_2E0: u ).

tff(func_def_7,type,
    combin_k_2E0: u ).

tff(func_def_8,type,
    combin_s_2E0: u ).

tff(func_def_9,type,
    c_2Ebool_2E_21_2E0: u ).

tff(func_def_10,type,
    c_2Ebool_2E_21_2E1: du > u ).

tff(func_def_11,type,
    c_2Earithmetic_2E_2B_2E0: u ).

tff(func_def_12,type,
    c_2Earithmetic_2E_2B_2E2: ( du * du ) > u ).

tff(func_def_13,type,
    c_2Earithmetic_2E_2D_2E0: u ).

tff(func_def_14,type,
    c_2Earithmetic_2E_2D_2E2: ( du * du ) > u ).

tff(func_def_15,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

tff(func_def_16,type,
    c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).

tff(func_def_17,type,
    c_2Earithmetic_2E_3C_3D_2E0: u ).

tff(func_def_18,type,
    c_2Earithmetic_2E_3C_3D_2E2: ( du * du ) > u ).

tff(func_def_19,type,
    c_2Emin_2E_3D_2E0: u ).

tff(func_def_20,type,
    c_2Emin_2E_3D_2E2: ( du * du ) > u ).

tff(func_def_21,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

tff(func_def_22,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).

tff(func_def_23,type,
    c_2Ebool_2E_3F_2E0: u ).

tff(func_def_24,type,
    c_2Ebool_2E_3F_2E1: du > u ).

tff(func_def_25,type,
    c_2Ebool_2ECOND_2E0: u ).

tff(func_def_26,type,
    c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).

tff(func_def_27,type,
    c_2Ebool_2EF_2E0: u ).

tff(func_def_28,type,
    c_2Ebool_2ET_2E0: u ).

tff(func_def_29,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

tff(func_def_30,type,
    c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).

tff(func_def_31,type,
    c_2Ewords_2En2w_2E0: u ).

tff(func_def_32,type,
    c_2Ewords_2En2w_2E1: du > u ).

tff(func_def_33,type,
    c_2Ewords_2Eword__2comp_2E0: u ).

tff(func_def_34,type,
    c_2Ewords_2Eword__2comp_2E1: du > u ).

tff(func_def_35,type,
    c_2Ewords_2Eword__add_2E0: u ).

tff(func_def_36,type,
    c_2Ewords_2Eword__add_2E2: ( du * du ) > u ).

tff(func_def_37,type,
    c_2Ewords_2Eword__sub_2E0: u ).

tff(func_def_38,type,
    c_2Ewords_2Eword__sub_2E2: ( du * du ) > u ).

tff(func_def_39,type,
    c_2Ebool_2E_7E_2E0: u ).

tff(func_def_40,type,
    c_2Ebool_2E_7E_2E1: du > u ).

tff(func_def_41,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_42,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_43,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_44,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_45,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(func_def_46,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).

tff(func_def_47,type,
    mono_2Ec_2Earithmetic_2E_2B_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

tff(func_def_48,type,
    mono_2Ec_2Earithmetic_2E_2B_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).

tff(func_def_49,type,
    mono_2Ec_2Earithmetic_2E_2D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

tff(func_def_50,type,
    mono_2Ec_2Earithmetic_2E_2D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).

tff(func_def_51,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_52,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_53,type,
    mono_2Ec_2Earithmetic_2E_3C_3D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_54,type,
    mono_2Ec_2Earithmetic_2E_3C_3D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_55,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_56,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_57,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_58,type,
    mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_59,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_60,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_61,type,
    mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_62,type,
    mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_63,type,
    i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).

tff(func_def_64,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_65,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_66,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 > u ).

tff(func_def_67,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(func_def_68,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 > u ).

tff(func_def_69,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > u ).

tff(func_def_70,type,
    i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).

tff(func_def_71,type,
    j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_72,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_73,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_74,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_75,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_76,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

tff(func_def_77,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(func_def_78,type,
    j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).

tff(func_def_79,type,
    sK0: d ).

tff(func_def_80,type,
    sK1: mono_2Etyop_2Enum_2Enum ).

tff(func_def_81,type,
    sK2: mono_2Etyop_2Enum_2Enum ).

tff(func_def_82,type,
    sK3: ( d * d * u * u ) > u ).

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

tff(f1977,plain,
    $false,
    inference(avatar_sat_refutation,[],[f269,f271,f362,f384,f1105,f1976]) ).

tff(f1976,plain,
    spl4_8,
    inference(avatar_contradiction_clause,[],[f1975]) ).

tff(f1975,plain,
    ( $false
    | spl4_8 ),
    inference(subsumption_resolution,[],[f1974,f383]) ).

tff(f383,plain,
    ( ( mono_2Ec_2Ebool_2EF_2E0 != mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) )
    | spl4_8 ),
    inference(avatar_component_clause,[],[f381]) ).

tff(f381,plain,
    ( spl4_8
  <=> ( mono_2Ec_2Ebool_2EF_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

tff(f1974,plain,
    mono_2Ec_2Ebool_2EF_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1),
    inference(trivial_inequality_removal,[],[f1944]) ).

tff(f1944,plain,
    ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK1),sK2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK1),sK2))))) )
    | ( mono_2Ec_2Ebool_2EF_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) ) ),
    inference(superposition,[],[f215,f955]) ).

tff(f955,plain,
    ! [X2: d,X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
      ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X1),X0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X0)))))) )
      | ( mono_2Ec_2Ebool_2EF_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X0),X1) ) ),
    inference(forward_demodulation,[],[f926,f160]) ).

tff(f160,plain,
    ! [X3: u,X0: d,X4: u] : ( s(X0,X3) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X3),s(X0,X4))) ),
    inference(cnf_transformation,[],[f82]) ).

tff(f82,plain,
    ! [X0: d] :
      ( ! [X1: u,X2: u] : ( s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X0,X1),s(X0,X2))) )
      & ! [X3: u,X4: u] : ( s(X0,X3) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X3),s(X0,X4))) ) ),
    inference(rectify,[],[f65]) ).

tff(f65,axiom,
    ! [X0: d] :
      ( ! [X26: u,X27: u] : ( s(X0,X27) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X0,X26),s(X0,X27))) )
      & ! [X15: u,X16: u] : ( s(X0,X15) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X15),s(X0,X16))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).

tff(f926,plain,
    ! [X2: d,X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
      ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X0)))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X1),X0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X0),X1))))))))) )
      | ( mono_2Ec_2Ebool_2EF_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X0),X1) ) ),
    inference(superposition,[],[f910,f201]) ).

tff(f201,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
      | ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ),
    inference(cnf_transformation,[],[f97]) ).

tff(f97,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
      | ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X7: mono_2Etyop_2Emin_2Ebool] :
      ( ( mono_2Ec_2Ebool_2EF_2E0 = X7 )
      | ( mono_2Ec_2Ebool_2ET_2E0 = X7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).

tff(f910,plain,
    ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum,X1: d] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X3),X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X2),X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X3),X2))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X3)))))) ),
    inference(forward_demodulation,[],[f217,f156]) ).

tff(f156,plain,
    ! [X2: u,X0: d,X1: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))) ),
    inference(cnf_transformation,[],[f78]) ).

tff(f78,plain,
    ! [X0: d,X1: u,X2: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))) ),
    inference(rectify,[],[f66]) ).

tff(f66,axiom,
    ! [X0: d,X28: u,X29: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X28),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X29))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X28),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X29))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).

tff(f217,plain,
    ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum,X1: d] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X3)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X3),X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X2),X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X3),X2))))))))) ),
    inference(definition_unfolding,[],[f153,f159,f158,f158]) ).

tff(f158,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_2D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X0),X1) ),
    inference(cnf_transformation,[],[f80]) ).

tff(f80,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_2D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X0),X1) ),
    inference(rectify,[],[f34]) ).

tff(f34,axiom,
    ! [X12: mono_2Etyop_2Enum_2Enum,X13: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_2D_2E2(X12,X13) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X12),X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2D_2E2) ).

tff(f159,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
    inference(cnf_transformation,[],[f81]) ).

tff(f81,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
    inference(rectify,[],[f36]) ).

tff(f36,axiom,
    ! [X12: mono_2Etyop_2Enum_2Enum,X13: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X12,X13) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X12),X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2) ).

tff(f153,plain,
    ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum,X1: d] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X3)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X3,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X2,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X3,X2))))))))) ),
    inference(cnf_transformation,[],[f75]) ).

tff(f75,plain,
    ! [X0: d,X1: d] :
      ( ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X3)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X3,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X2,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X3,X2))))))))) )
      & ! [X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X4)))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X5)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2B_2E2(X4,X5))))))) ) ),
    inference(rectify,[],[f67]) ).

tff(f67,axiom,
    ! [X0: d,X1: d] :
      ( ! [X32: mono_2Etyop_2Enum_2Enum,X33: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X32)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X33)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X33,X32))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X32,X33))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X33,X32))))))))) )
      & ! [X30: mono_2Etyop_2Enum_2Enum,X31: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X30)))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X31)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2B_2E2(X30,X31))))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).

tff(f215,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK1),sK2))))),
    inference(definition_unfolding,[],[f133,f158]) ).

tff(f133,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))),
    inference(cnf_transformation,[],[f118]) ).

tff(f118,plain,
    ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))) )
    & p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f107,f117]) ).

tff(f117,plain,
    ( ? [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
        ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1,X2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))))) )
        & p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X2,X1)) )
   => ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK1,sK2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK2)))))) )
      & p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f107,plain,
    ? [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
      ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1,X2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))))) )
      & p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X2,X1)) ),
    inference(ennf_transformation,[],[f70]) ).

tff(f70,plain,
    ~ ! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
        ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X2,X1))
       => ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1,X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X1)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X2)))))) ) ),
    inference(rectify,[],[f69]) ).

tff(f69,negated_conjecture,
    ~ ! [X0: d,X34: mono_2Etyop_2Enum_2Enum,X35: mono_2Etyop_2Enum_2Enum] :
        ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X35,X34))
       => ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X34,X35))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X34)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X35)))))) ) ),
    inference(negated_conjecture,[],[f68]) ).

tff(f68,conjecture,
    ! [X0: d,X34: mono_2Etyop_2Enum_2Enum,X35: mono_2Etyop_2Enum_2Enum] :
      ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X35,X34))
     => ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X34,X35))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X34)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X35)))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).

tff(f1105,plain,
    ( spl4_1
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

tff(f1104,plain,
    ( $false
    | spl4_1
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f1079,f245]) ).

tff(f245,plain,
    ( ~ p(mono_2Ec_2Ebool_2EF_2E0)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f243]) ).

tff(f243,plain,
    ( spl4_1
  <=> p(mono_2Ec_2Ebool_2EF_2E0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f1079,plain,
    ( p(mono_2Ec_2Ebool_2EF_2E0)
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f253,f284]) ).

tff(f284,plain,
    ( ! [X0: mono_2Etyop_2Emin_2Ebool] : ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f283]) ).

tff(f283,plain,
    ( spl4_5
  <=> ! [X0: mono_2Etyop_2Emin_2Ebool] : ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f253,plain,
    ( p(mono_2Ec_2Ebool_2ET_2E0)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f251]) ).

tff(f251,plain,
    ( spl4_3
  <=> p(mono_2Ec_2Ebool_2ET_2E0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f384,plain,
    ( spl4_5
    | ~ spl4_8
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f377,f358,f381,f283]) ).

tff(f358,plain,
    ( spl4_7
  <=> ! [X1: mono_2Etyop_2Emin_2Ebool] :
        ( ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) = X1 )
        | ( mono_2Ec_2Ebool_2EF_2E0 = X1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

tff(f377,plain,
    ( ! [X0: mono_2Etyop_2Emin_2Ebool] :
        ( ( mono_2Ec_2Ebool_2EF_2E0 != mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) )
        | ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
    | ~ spl4_7 ),
    inference(equality_factoring,[],[f359]) ).

tff(f359,plain,
    ( ! [X1: mono_2Etyop_2Emin_2Ebool] :
        ( ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) = X1 )
        | ( mono_2Ec_2Ebool_2EF_2E0 = X1 ) )
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f358]) ).

tff(f362,plain,
    ( spl4_7
    | spl4_1 ),
    inference(avatar_split_clause,[],[f361,f243,f358]) ).

tff(f361,plain,
    ( ! [X0: mono_2Etyop_2Emin_2Ebool] :
        ( ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) = X0 )
        | ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
    | spl4_1 ),
    inference(subsumption_resolution,[],[f344,f245]) ).

tff(f344,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Ebool_2EF_2E0)
      | ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1) = X0 )
      | ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ),
    inference(superposition,[],[f216,f276]) ).

tff(f276,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
      ( ( mono_2Ec_2Ebool_2EF_2E0 = X1 )
      | ( X0 = X1 )
      | ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ),
    inference(superposition,[],[f201,f201]) ).

tff(f216,plain,
    p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK2),sK1)),
    inference(definition_unfolding,[],[f132,f159]) ).

tff(f132,plain,
    p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)),
    inference(cnf_transformation,[],[f118]) ).

tff(f271,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f238,f251]) ).

tff(f238,plain,
    p(mono_2Ec_2Ebool_2ET_2E0),
    inference(equality_resolution,[],[f178]) ).

tff(f178,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( p(X0)
      | ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) ),
    inference(cnf_transformation,[],[f128]) ).

tff(f128,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
        | p(X0) )
      & ( ~ p(X0)
        | ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
      & ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
        | p(X0) )
      & ( ~ p(X0)
        | ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
        | ~ p(X0) )
      & ( p(X0)
        | ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
        | ~ p(X0) )
      & ( p(X0)
        | ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) ) ),
    inference(flattening,[],[f127]) ).

tff(f127,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
        | p(X0) )
      & ( ~ p(X0)
        | ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
      & ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
        | p(X0) )
      & ( ~ p(X0)
        | ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
        | ~ p(X0) )
      & ( p(X0)
        | ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
        | ~ p(X0) )
      & ( p(X0)
        | ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) ) ),
    inference(nnf_transformation,[],[f95]) ).

tff(f95,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
      <=> ~ p(X0) )
      & ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
      <=> ~ p(X0) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
      <=> p(X0) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
      <=> p(X0) ) ),
    inference(rectify,[],[f61]) ).

tff(f61,axiom,
    ! [X7: mono_2Etyop_2Emin_2Ebool] :
      ( ( ( mono_2Ec_2Ebool_2EF_2E0 = X7 )
      <=> ~ p(X7) )
      & ( ( mono_2Ec_2Ebool_2EF_2E0 = X7 )
      <=> ~ p(X7) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X7 )
      <=> p(X7) )
      & ( ( mono_2Ec_2Ebool_2ET_2E0 = X7 )
      <=> p(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).

tff(f269,plain,
    ~ spl4_1,
    inference(avatar_split_clause,[],[f236,f243]) ).

tff(f236,plain,
    ~ p(mono_2Ec_2Ebool_2EF_2E0),
    inference(equality_resolution,[],[f182]) ).

tff(f182,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ~ p(X0)
      | ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) ),
    inference(cnf_transformation,[],[f128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : ITP013_1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.05/0.11  % 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
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sat May 18 19:46:37 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a TF0_THM_EQU_NAR problem
% 0.10/0.31  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/benchmark/theBenchmark.p
% 0.60/0.80  % (8780)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.80  % (8781)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.80  % (8777)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.80  % (8778)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 theBenchmark for (2995ds/51Mi)
% 0.60/0.80  % (8779)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.80  % (8782)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.80  % (8783)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 theBenchmark for (2995ds/83Mi)
% 0.60/0.80  % (8784)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.81  % (8784)Refutation not found, incomplete strategy% (8784)------------------------------
% 0.60/0.81  % (8784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8784)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (8784)Memory used [KB]: 1083
% 0.60/0.81  % (8784)Time elapsed: 0.003 s
% 0.60/0.81  % (8784)Instructions burned: 3 (million)
% 0.60/0.81  % (8782)Refutation not found, incomplete strategy% (8782)------------------------------
% 0.60/0.81  % (8782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8782)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (8782)Memory used [KB]: 1086
% 0.60/0.81  % (8782)Time elapsed: 0.003 s
% 0.60/0.81  % (8782)Instructions burned: 3 (million)
% 0.60/0.81  % (8780)Refutation not found, incomplete strategy% (8780)------------------------------
% 0.60/0.81  % (8780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8780)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (8780)Memory used [KB]: 1101
% 0.60/0.81  % (8780)Time elapsed: 0.004 s
% 0.60/0.81  % (8780)Instructions burned: 3 (million)
% 0.60/0.81  % (8784)------------------------------
% 0.60/0.81  % (8784)------------------------------
% 0.60/0.81  % (8782)------------------------------
% 0.60/0.81  % (8782)------------------------------
% 0.60/0.81  % (8780)------------------------------
% 0.60/0.81  % (8780)------------------------------
% 0.60/0.81  % (8777)Refutation not found, incomplete strategy% (8777)------------------------------
% 0.60/0.81  % (8777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8777)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (8777)Memory used [KB]: 1105
% 0.60/0.81  % (8777)Time elapsed: 0.005 s
% 0.60/0.81  % (8777)Instructions burned: 6 (million)
% 0.60/0.81  % (8777)------------------------------
% 0.60/0.81  % (8777)------------------------------
% 0.60/0.81  % (8785)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.60/0.81  % (8787)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.81  % (8786)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.60/0.81  % (8781)Refutation not found, incomplete strategy% (8781)------------------------------
% 0.60/0.81  % (8781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8781)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (8781)Memory used [KB]: 1267
% 0.60/0.81  % (8781)Time elapsed: 0.008 s
% 0.60/0.81  % (8781)Instructions burned: 14 (million)
% 0.60/0.81  % (8781)------------------------------
% 0.60/0.81  % (8781)------------------------------
% 0.60/0.81  % (8788)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.60/0.81  % (8789)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.67/0.82  % (8789)Refutation not found, incomplete strategy% (8789)------------------------------
% 0.67/0.82  % (8789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.82  % (8789)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82  
% 0.67/0.82  % (8789)Memory used [KB]: 1153
% 0.67/0.82  % (8789)Time elapsed: 0.006 s
% 0.67/0.82  % (8789)Instructions burned: 11 (million)
% 0.67/0.82  % (8789)------------------------------
% 0.67/0.82  % (8789)------------------------------
% 0.67/0.82  % (8790)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.67/0.83  % (8790)Refutation not found, incomplete strategy% (8790)------------------------------
% 0.67/0.83  % (8790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83  % (8790)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.83  
% 0.67/0.83  % (8790)Memory used [KB]: 1253
% 0.67/0.83  % (8790)Time elapsed: 0.007 s
% 0.67/0.83  % (8790)Instructions burned: 13 (million)
% 0.67/0.83  % (8790)------------------------------
% 0.67/0.83  % (8790)------------------------------
% 0.67/0.83  % (8778)Instruction limit reached!
% 0.67/0.83  % (8778)------------------------------
% 0.67/0.83  % (8778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83  % (8778)Termination reason: Unknown
% 0.67/0.83  % (8778)Termination phase: Saturation
% 0.67/0.83  
% 0.67/0.83  % (8778)Memory used [KB]: 1624
% 0.67/0.83  % (8778)Time elapsed: 0.030 s
% 0.67/0.83  % (8778)Instructions burned: 52 (million)
% 0.67/0.83  % (8778)------------------------------
% 0.67/0.83  % (8778)------------------------------
% 0.67/0.83  % (8791)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.67/0.83  % (8786)Instruction limit reached!
% 0.67/0.83  % (8786)------------------------------
% 0.67/0.83  % (8786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83  % (8786)Termination reason: Unknown
% 0.67/0.83  % (8786)Termination phase: Saturation
% 0.67/0.83  
% 0.67/0.83  % (8786)Memory used [KB]: 1849
% 0.67/0.84  % (8786)Time elapsed: 0.027 s
% 0.67/0.84  % (8786)Instructions burned: 50 (million)
% 0.67/0.84  % (8786)------------------------------
% 0.67/0.84  % (8786)------------------------------
% 0.67/0.84  % (8792)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.67/0.84  % (8785)Instruction limit reached!
% 0.67/0.84  % (8785)------------------------------
% 0.67/0.84  % (8785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (8788)Instruction limit reached!
% 0.67/0.84  % (8788)------------------------------
% 0.67/0.84  % (8788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (8788)Termination reason: Unknown
% 0.67/0.84  % (8788)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (8788)Memory used [KB]: 1548
% 0.67/0.84  % (8788)Time elapsed: 0.028 s
% 0.67/0.84  % (8788)Instructions burned: 52 (million)
% 0.67/0.84  % (8788)------------------------------
% 0.67/0.84  % (8788)------------------------------
% 0.67/0.84  % (8785)Termination reason: Unknown
% 0.67/0.84  % (8785)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (8785)Memory used [KB]: 1543
% 0.67/0.84  % (8785)Time elapsed: 0.029 s
% 0.67/0.84  % (8785)Instructions burned: 56 (million)
% 0.67/0.84  % (8785)------------------------------
% 0.67/0.84  % (8785)------------------------------
% 0.67/0.84  % (8783)Instruction limit reached!
% 0.67/0.84  % (8783)------------------------------
% 0.67/0.84  % (8783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (8783)Termination reason: Unknown
% 0.67/0.84  % (8783)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (8783)Memory used [KB]: 1451
% 0.67/0.84  % (8783)Time elapsed: 0.036 s
% 0.67/0.84  % (8783)Instructions burned: 84 (million)
% 0.67/0.84  % (8783)------------------------------
% 0.67/0.84  % (8783)------------------------------
% 0.67/0.84  % (8793)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.67/0.84  % (8779)Instruction limit reached!
% 0.67/0.84  % (8779)------------------------------
% 0.67/0.84  % (8779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (8779)Termination reason: Unknown
% 0.67/0.84  % (8779)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (8779)Memory used [KB]: 1499
% 0.67/0.84  % (8779)Time elapsed: 0.037 s
% 0.67/0.84  % (8779)Instructions burned: 78 (million)
% 0.67/0.84  % (8779)------------------------------
% 0.67/0.84  % (8779)------------------------------
% 0.67/0.84  % (8794)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.67/0.84  % (8795)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.67/0.84  % (8796)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.67/0.84  % (8792)Refutation not found, incomplete strategy% (8792)------------------------------
% 0.67/0.84  % (8792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (8792)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84  
% 0.67/0.84  % (8792)Memory used [KB]: 1264
% 0.67/0.84  % (8792)Time elapsed: 0.008 s
% 0.67/0.84  % (8792)Instructions burned: 14 (million)
% 0.67/0.84  % (8797)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.67/0.84  % (8792)------------------------------
% 0.67/0.84  % (8792)------------------------------
% 0.67/0.85  % (8798)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2994ds/55Mi)
% 0.67/0.85  % (8793)Refutation not found, incomplete strategy% (8793)------------------------------
% 0.67/0.85  % (8793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (8793)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85  
% 0.67/0.85  % (8793)Memory used [KB]: 1278
% 0.67/0.85  % (8793)Time elapsed: 0.012 s
% 0.67/0.85  % (8793)Instructions burned: 22 (million)
% 0.89/0.85  % (8793)------------------------------
% 0.89/0.85  % (8793)------------------------------
% 0.89/0.85  % (8799)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2994ds/53Mi)
% 0.89/0.86  % (8796)Instruction limit reached!
% 0.89/0.86  % (8796)------------------------------
% 0.89/0.86  % (8796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.86  % (8796)Termination reason: Unknown
% 0.89/0.86  % (8796)Termination phase: Saturation
% 0.89/0.86  
% 0.89/0.86  % (8796)Memory used [KB]: 1370
% 0.89/0.86  % (8796)Time elapsed: 0.017 s
% 0.89/0.86  % (8796)Instructions burned: 32 (million)
% 0.89/0.86  % (8796)------------------------------
% 0.89/0.86  % (8796)------------------------------
% 0.89/0.86  % (8799)Refutation not found, incomplete strategy% (8799)------------------------------
% 0.89/0.86  % (8799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.86  % (8799)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.86  
% 0.89/0.86  % (8799)Memory used [KB]: 1152
% 0.89/0.86  % (8799)Time elapsed: 0.005 s
% 0.89/0.86  % (8799)Instructions burned: 8 (million)
% 0.89/0.86  % (8799)------------------------------
% 0.89/0.86  % (8799)------------------------------
% 0.89/0.86  % (8800)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 0.89/0.86  % (8801)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 0.89/0.87  % (8795)Instruction limit reached!
% 0.89/0.87  % (8795)------------------------------
% 0.89/0.87  % (8795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.87  % (8795)Termination reason: Unknown
% 0.89/0.87  % (8795)Termination phase: Saturation
% 0.89/0.87  
% 0.89/0.87  % (8795)Memory used [KB]: 2140
% 0.89/0.87  % (8795)Time elapsed: 0.029 s
% 0.89/0.87  % (8795)Instructions burned: 62 (million)
% 0.89/0.87  % (8795)------------------------------
% 0.89/0.87  % (8795)------------------------------
% 0.89/0.87  % (8800)Refutation not found, incomplete strategy% (8800)------------------------------
% 0.89/0.87  % (8800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.87  % (8800)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.87  
% 0.89/0.87  % (8800)Memory used [KB]: 1320
% 0.89/0.87  % (8800)Time elapsed: 0.009 s
% 0.89/0.87  % (8800)Instructions burned: 16 (million)
% 0.89/0.87  % (8800)------------------------------
% 0.89/0.87  % (8800)------------------------------
% 0.89/0.87  % (8802)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2994ds/35Mi)
% 0.89/0.87  % (8803)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 0.89/0.87  % (8798)Instruction limit reached!
% 0.89/0.87  % (8798)------------------------------
% 0.89/0.87  % (8798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.87  % (8798)Termination reason: Unknown
% 0.89/0.87  % (8798)Termination phase: Saturation
% 0.89/0.87  
% 0.89/0.87  % (8798)Memory used [KB]: 2021
% 0.89/0.87  % (8798)Time elapsed: 0.028 s
% 0.89/0.87  % (8798)Instructions burned: 56 (million)
% 0.89/0.87  % (8798)------------------------------
% 0.89/0.87  % (8798)------------------------------
% 0.89/0.88  % (8804)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2994ds/109Mi)
% 0.89/0.88  % (8801)Refutation not found, incomplete strategy% (8801)------------------------------
% 0.89/0.88  % (8801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.88  % (8801)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.88  
% 0.89/0.88  % (8801)Memory used [KB]: 1329
% 0.89/0.88  % (8801)Time elapsed: 0.018 s
% 0.89/0.88  % (8801)Instructions burned: 37 (million)
% 0.89/0.88  % (8801)------------------------------
% 0.89/0.88  % (8801)------------------------------
% 0.89/0.88  % (8805)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 0.89/0.89  % (8805)Refutation not found, incomplete strategy% (8805)------------------------------
% 0.89/0.89  % (8805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.89  % (8805)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.89  
% 0.89/0.89  % (8805)Memory used [KB]: 1179
% 0.89/0.89  % (8805)Time elapsed: 0.006 s
% 0.89/0.89  % (8805)Instructions burned: 10 (million)
% 0.89/0.89  % (8805)------------------------------
% 0.89/0.89  % (8805)------------------------------
% 0.89/0.89  % (8794)Instruction limit reached!
% 0.89/0.89  % (8794)------------------------------
% 0.89/0.89  % (8794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.89  % (8794)Termination reason: Unknown
% 0.89/0.89  % (8794)Termination phase: Saturation
% 0.89/0.89  
% 0.89/0.89  % (8794)Memory used [KB]: 1759
% 0.89/0.89  % (8794)Time elapsed: 0.049 s
% 0.89/0.89  % (8794)Instructions burned: 94 (million)
% 0.89/0.89  % (8794)------------------------------
% 0.89/0.89  % (8794)------------------------------
% 0.89/0.89  % (8802)Instruction limit reached!
% 0.89/0.89  % (8802)------------------------------
% 0.89/0.89  % (8802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.89  % (8802)Termination reason: Unknown
% 0.89/0.89  % (8802)Termination phase: Saturation
% 0.89/0.89  
% 0.89/0.89  % (8802)Memory used [KB]: 1633
% 0.89/0.89  % (8802)Time elapsed: 0.020 s
% 0.89/0.89  % (8802)Instructions burned: 35 (million)
% 0.89/0.89  % (8802)------------------------------
% 0.89/0.89  % (8802)------------------------------
% 0.89/0.89  % (8806)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 0.89/0.89  % (8807)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 0.89/0.89  % (8808)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 0.89/0.90  % (8806)Refutation not found, incomplete strategy% (8806)------------------------------
% 0.89/0.90  % (8806)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.90  % (8806)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.90  
% 0.89/0.90  % (8806)Memory used [KB]: 1298
% 0.89/0.90  % (8806)Time elapsed: 0.010 s
% 0.89/0.90  % (8806)Instructions burned: 18 (million)
% 0.89/0.90  % (8806)------------------------------
% 0.89/0.90  % (8806)------------------------------
% 0.89/0.90  % (8787)Instruction limit reached!
% 0.89/0.90  % (8787)------------------------------
% 0.89/0.90  % (8787)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.90  % (8787)Termination reason: Unknown
% 0.89/0.90  % (8787)Termination phase: Saturation
% 0.89/0.90  
% 0.89/0.90  % (8787)Memory used [KB]: 4016
% 0.89/0.90  % (8787)Time elapsed: 0.092 s
% 0.89/0.90  % (8787)Instructions burned: 210 (million)
% 0.89/0.90  % (8787)------------------------------
% 0.89/0.90  % (8787)------------------------------
% 0.89/0.90  % (8809)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 0.89/0.90  % (8810)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 0.89/0.91  % (8810)Refutation not found, incomplete strategy% (8810)------------------------------
% 0.89/0.91  % (8810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.91  % (8810)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.91  
% 0.89/0.91  % (8810)Memory used [KB]: 1410
% 0.89/0.91  % (8810)Time elapsed: 0.033 s
% 0.89/0.91  % (8810)Instructions burned: 17 (million)
% 0.89/0.91  % (8803)Instruction limit reached!
% 0.89/0.91  % (8803)------------------------------
% 0.89/0.91  % (8803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.91  % (8803)Termination reason: Unknown
% 0.89/0.91  % (8803)Termination phase: Saturation
% 0.89/0.91  
% 0.89/0.91  % (8803)Memory used [KB]: 1668
% 0.89/0.91  % (8803)Time elapsed: 0.042 s
% 0.89/0.91  % (8803)Instructions burned: 88 (million)
% 0.89/0.91  % (8803)------------------------------
% 0.89/0.91  % (8803)------------------------------
% 0.89/0.91  % (8807)Instruction limit reached!
% 0.89/0.91  % (8807)------------------------------
% 0.89/0.91  % (8807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.91  % (8807)Termination reason: Unknown
% 0.89/0.91  % (8807)Termination phase: Saturation
% 0.89/0.91  
% 0.89/0.91  % (8807)Memory used [KB]: 1553
% 0.89/0.91  % (8807)Time elapsed: 0.044 s
% 0.89/0.91  % (8807)Instructions burned: 42 (million)
% 0.89/0.91  % (8807)------------------------------
% 0.89/0.91  % (8807)------------------------------
% 0.89/0.91  % (8810)------------------------------
% 0.89/0.91  % (8810)------------------------------
% 0.89/0.92  % (8812)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 0.89/0.92  % (8811)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 0.89/0.92  % (8813)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 0.89/0.92  % (8797)First to succeed.
% 0.89/0.92  % (8797)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8774"
% 0.89/0.92  % (8812)Also succeeded, but the first one will report.
% 0.89/0.92  % (8797)Refutation found. Thanks to Tanya!
% 0.89/0.92  % SZS status Theorem for theBenchmark
% 0.89/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.92  % (8797)------------------------------
% 0.89/0.92  % (8797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.92  % (8797)Termination reason: Refutation
% 0.89/0.92  
% 0.89/0.92  % (8797)Memory used [KB]: 1946
% 0.89/0.92  % (8797)Time elapsed: 0.079 s
% 0.89/0.92  % (8797)Instructions burned: 172 (million)
% 0.89/0.92  % (8774)Success in time 0.589 s
% 0.89/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------