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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP013_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:34:59 AM UTC 2026

% Result   : Theorem 5.29s 1.26s
% Output   : Refutation 5.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (  28 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   21 (   8   ~;   1   |;   6   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   85 (  85 usr;  34 con; 0-4 aty)
%            Number of variables   :   52 (  49   !;   3   ?;  52   :)

% 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 * d * u * u ) > u ).

tff(func_def_80,type,
    sK1: ( d * u ) > u ).

tff(func_def_81,type,
    sK2: ( d * u ) > u ).

tff(func_def_82,type,
    sK3: d ).

tff(func_def_83,type,
    sK4: mono_2Etyop_2Enum_2Enum ).

tff(func_def_84,type,
    sK5: mono_2Etyop_2Enum_2Enum ).

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

tff(f34,axiom,
    ! [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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2D_2E2) ).

tff(f36,axiom,
    ! [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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2) ).

tff(f61,axiom,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
      <=> p(X0) )
      & ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
      <=> p(X0) )
      & ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
      <=> ~ p(X0) )
      & ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
      <=> ~ p(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).

tff(f65,axiom,
    ! [X0: d] :
      ( ! [X1: u,X2: u] : ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) = s(X0,X1) )
      & ! [X3: u,X4: u] : ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X0,X3),s(X0,X4))) = s(X0,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).

tff(f66,axiom,
    ! [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))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).

tff(f67,axiom,
    ! [X0: d,X1: d] :
      ( ! [X2: mono_2Etyop_2Enum_2Enum,X3: 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(X2)))))),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(X3)))))))) = 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(X2,X3))))))) )
      & ! [X4: mono_2Etyop_2Enum_2Enum,X5: 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(X4)))),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(X5)))))))) = 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(X5,X4))),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(X4,X5))))),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(X5,X4))))))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).

tff(f68,conjecture,
    ! [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)))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).

tff(f69,negated_conjecture,
    ~ ! [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(negated_conjecture,[status(cth)],[f68]) ).

tff(f81,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,[],[f69]) ).

tff(f126,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,[],[f34]) ).

tff(f130,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,[],[f36]) ).

tff(f168,plain,
    ! [X0: mono_2Etyop_2Emin_2Ebool] :
      ( ~ p(X0)
      | ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f186,plain,
    ! [X2: u,X0: d,X1: u] : ( s(X0,X1) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) ),
    inference(cnf_transformation,[],[f65]) ).

tff(f187,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,[],[f66]) ).

tff(f188,plain,
    ! [X1: d,X4: mono_2Etyop_2Enum_2Enum,X5: 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(X4)))),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(X5)))))))) = 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(X5,X4))),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(X4,X5))))),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(X5,X4))))))))) ),
    inference(cnf_transformation,[],[f67]) ).

tff(f190,plain,
    p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK5,sK4)),
    inference(cnf_transformation,[],[f81]) ).

tff(f191,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(sK4,sK5))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK4)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK5)))))),
    inference(cnf_transformation,[],[f81]) ).

tff(f193,plain,
    ! [X1: d,X4: mono_2Etyop_2Enum_2Enum,X5: 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(X4)))),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(X5)))))))) = 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,X5),X4))),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,X4),X5))))),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,X5),X4))))))))) ),
    inference(definition_unfolding,[],[f188,f130,f126,f126]) ).

tff(f194,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK4)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK5)))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),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,sK4),sK5))))),
    inference(definition_unfolding,[],[f191,f126]) ).

tff(f195,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,sK5),sK4)),
    inference(definition_unfolding,[],[f190,f130]) ).

tff(f391,plain,
    mono_2Ec_2Ebool_2ET_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,sK5),sK4),
    inference(resolution,[],[f168,f195]) ).

tff(f3830,plain,
    ! [X2: u,X0: d,X1: u] : ( s(X0,X1) = s(X0,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,sK5),sK4))),s(X0,X1),s(X0,X2))) ),
    inference(forward_demodulation,[],[f186,f391]) ).

tff(f7663,plain,
    ! [X1: d,X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] : ( 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,X5),X4))),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,X4),X5))))),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,X5),X4))))))))) = 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(X4)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X5)))))) ),
    inference(forward_demodulation,[],[f193,f187]) ).

tff(f7741,plain,
    ! [X0: d] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),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,sK4),sK5))))) = 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(sK4)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(sK5)))))) ),
    inference(superposition,[],[f7663,f3830]) ).

tff(f11274,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),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,sK4),sK5))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),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,sK4),sK5))))),
    inference(superposition,[],[f194,f7741]) ).

tff(f11310,plain,
    $false,
    inference(trivial_inequality_removal,[],[f11274]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP013_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n008.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 12:00:10 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.86/1.19  % (1099212)Will run a generic schedule for satisfiability detection.
% 4.86/1.19  % (1099220)dis+10_1_sil=32000:sp=arity:random_seed=919203148:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.86/1.19  % (1099218)% WARNING: option uhcvi not known.
% 4.86/1.19  % (1099217)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4219505863_2999 on theBenchmark for (2999ds/0Mi)
% 4.86/1.19  % (1099218)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4068061554:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.86/1.19  % (1099219)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1153201401:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.86/1.19  % (1099221)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=836586842:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.86/1.19  % (1099222)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2010338779:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.86/1.19  % (1099223)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2720696754:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.86/1.19  % (1099220)Instruction limit reached! 
% 4.86/1.19  % (1099220)------------------------------
% 4.86/1.19  % (1099220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/1.19  % (1099220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.19  % (1099220)CaDiCaL version: 2.1.3
% 4.86/1.19  % (1099220)Termination reason: Instruction limit
% 4.86/1.19  % (1099220)Termination phase: Saturation
% 4.86/1.19  % (1099220)Time elapsed: 0.034 s
% 4.86/1.19  % (1099220)Peak memory usage: 12 MB
% 4.86/1.19  % (1099220)Instructions burned: 107 (million)
% 4.86/1.19  % (1099231)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3981707559:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.86/1.19  % TRYING [1]
% 4.86/1.19  % TRYING [2]
% 4.86/1.19  % (1099221)Instruction limit reached! 
% 4.86/1.19  % (1099221)------------------------------
% 4.86/1.19  % (1099221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/1.19  % (1099221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.19  % (1099221)CaDiCaL version: 2.1.3
% 4.86/1.19  % (1099221)Termination reason: Instruction limit
% 4.86/1.19  % (1099221)Termination phase: Saturation
% 4.86/1.19  % (1099221)Time elapsed: 0.070 s
% 4.86/1.19  % (1099221)Peak memory usage: 13 MB
% 4.86/1.19  % (1099221)Instructions burned: 123 (million)
% 4.86/1.19  % TRYING [3]
% 4.86/1.19  % (1099222)Instruction limit reached! 
% 4.86/1.19  % (1099222)------------------------------
% 4.86/1.19  % (1099222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/1.19  % (1099222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.19  % (1099222)CaDiCaL version: 2.1.3
% 4.86/1.19  % (1099222)Termination reason: Instruction limit
% 4.86/1.19  % (1099222)Termination phase: Saturation
% 4.86/1.19  % (1099222)Time elapsed: 0.077 s
% 4.86/1.19  % (1099222)Peak memory usage: 13 MB
% 4.86/1.19  % (1099222)Instructions burned: 132 (million)
% 4.86/1.19  % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 4.86/1.19  % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 4.86/1.19  % TRYING [1,1,1,1,1,1,1,1,1,1]
% 4.86/1.19  % TRYING [1,1,2,1,1,1,1,1,1,1]
% 4.86/1.19  % TRYING [1,1,2,2,1,1,1,1,1,1]
% 4.86/1.19  % TRYING [1,1,2,3,1,1,1,1,1,1]
% 4.86/1.19  % (1099233)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4257250700:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.86/1.19  % TRYING [1,1,2,2,2,1,1,1,1,1]
% 4.86/1.19  % (1099223)Instruction limit reached! 
% 4.86/1.19  % (1099223)------------------------------
% 4.86/1.19  % (1099223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.86/1.19  % (1099223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.19  % (1099223)CaDiCaL version: 2.1.3
% 4.86/1.19  % (1099223)Termination reason: Instruction limit
% 4.86/1.19  % (1099223)Termination phase: Saturation
% 4.86/1.19  % (1099223)Time elapsed: 0.092 s
% 4.86/1.19  % (1099223)Peak memory usage: 13 MB
% 4.86/1.19  % (1099223)Instructions burned: 159 (million)
% 4.86/1.19  % TRYING [1,1,2,3,2,1,1,1,1,1]
% 4.86/1.19  % TRYING [1,1,2,4,2,1,1,1,1,1]
% 4.86/1.19  % (1099234)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1762105670:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.86/1.19  % TRYING [1,1,2,3,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,2,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [2,2,2,4,3,1,1,1,1,1]
% 5.29/1.26  % (1099236)ott-21_1_sil=16000:fs=off:random_seed=3795083009:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.29/1.26  % TRYING [1,3,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [2,3,2,4,3,1,1,1,1,1]
% 5.29/1.26  % (1099233)Instruction limit reached! 
% 5.29/1.26  % (1099233)------------------------------
% 5.29/1.26  % (1099233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099233)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099233)Termination reason: Instruction limit
% 5.29/1.26  % (1099233)Termination phase: Saturation
% 5.29/1.26  % (1099233)Time elapsed: 0.075 s
% 5.29/1.26  % (1099233)Peak memory usage: 12 MB
% 5.29/1.26  % (1099233)Instructions burned: 133 (million)
% 5.29/1.26  % (1099239)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3632039052:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.29/1.26  % TRYING [1,4,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [3,2,2,4,3,1,1,1,1,1]
% 5.29/1.26  % (1099236)Instruction limit reached! 
% 5.29/1.26  % (1099236)------------------------------
% 5.29/1.26  % (1099236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099236)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099236)Termination reason: Instruction limit
% 5.29/1.26  % (1099236)Termination phase: Saturation
% 5.29/1.26  % (1099236)Time elapsed: 0.096 s
% 5.29/1.26  % (1099236)Peak memory usage: 13 MB
% 5.29/1.26  % (1099236)Instructions burned: 180 (million)
% 5.29/1.26  % (1099241)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3369248957:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.29/1.26  % (1099231)Instruction limit reached! 
% 5.29/1.26  % (1099231)------------------------------
% 5.29/1.26  % (1099231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099231)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099231)Termination reason: Instruction limit
% 5.29/1.26  % (1099231)Termination phase: Finite model building SAT solving
% 5.29/1.26  % (1099231)Time elapsed: 0.201 s
% 5.29/1.26  % (1099231)Peak memory usage: 38 MB
% 5.29/1.26  % (1099231)Instructions burned: 720 (million)
% 5.29/1.26  % (1099243)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4294065309:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.29/1.26  % TRYING [2,2,2,4,3,1,2,1,1,1]
% 5.29/1.26  % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 5.29/1.26  % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 5.29/1.26  % TRYING [1,1,1,1,1,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,1,1,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,2,1,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,2,2,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,3,2,1,1,1,1,1]
% 5.29/1.26  % TRYING [3,2,2,4,3,1,2,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,3,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,2,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [2,2,2,4,3,1,1,1,1,1]
% 5.29/1.26  % (1099234)Instruction limit reached! 
% 5.29/1.26  % (1099234)------------------------------
% 5.29/1.26  % (1099234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099234)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099234)Termination reason: Instruction limit
% 5.29/1.26  % (1099234)Termination phase: Saturation
% 5.29/1.26  % (1099234)Time elapsed: 0.315 s
% 5.29/1.26  % (1099234)Peak memory usage: 15 MB
% 5.29/1.26  % (1099234)Instructions burned: 684 (million)
% 5.29/1.26  % (1099245)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2783096874:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.29/1.26  % TRYING [1,3,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [2,3,2,4,3,1,2,1,1,1]
% 5.29/1.26  % (1099239)Instruction limit reached! 
% 5.29/1.26  % (1099239)------------------------------
% 5.29/1.26  % (1099239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099239)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099239)Termination reason: Instruction limit
% 5.29/1.26  % (1099239)Termination phase: Saturation
% 5.29/1.26  % (1099239)Time elapsed: 0.272 s
% 5.29/1.26  % (1099239)Peak memory usage: 14 MB
% 5.29/1.26  % (1099239)Instructions burned: 477 (million)
% 5.29/1.26  % TRYING [2,3,2,4,3,1,1,1,1,1]
% 5.29/1.26  % (1099247)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2561007700:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 5.29/1.26  % TRYING [2,2,2,4,3,2,2,1,1,1]
% 5.29/1.26  % TRYING [2,2,2,4,3,1,2,2,1,1]
% 5.29/1.26  % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 5.29/1.26  % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 5.29/1.26  % fmb_start_size (= 14) larger than a detected sort maximum size!
% 5.29/1.26  % (1099245)Refutation not found, incomplete strategy
% 5.29/1.26  % (1099245)------------------------------
% 5.29/1.26  % (1099245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099245)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099245)Termination reason: Refutation not found, incomplete strategy
% 5.29/1.26  % (1099245)Time elapsed: 0.079 s
% 5.29/1.26  % (1099245)Peak memory usage: 13 MB
% 5.29/1.26  % (1099245)Instructions burned: 177 (million)
% 5.29/1.26  % (1099245)------------------------------
% 5.29/1.26  % (1099245)------------------------------
% 5.29/1.26  % TRYING [2,2,2,4,3,1,2,1,2,1]
% 5.29/1.26  % (1099249)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3449856021:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.29/1.26  % TRYING [3,2,2,4,3,1,2,2,1,1]
% 5.29/1.26  % (1099243)Instruction limit reached! 
% 5.29/1.26  % (1099243)------------------------------
% 5.29/1.26  % (1099243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099243)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099243)Termination reason: Instruction limit
% 5.29/1.26  % (1099243)Termination phase: Saturation
% 5.29/1.26  % (1099243)Time elapsed: 0.342 s
% 5.29/1.26  % (1099243)Peak memory usage: 20 MB
% 5.29/1.26  % (1099243)Instructions burned: 1181 (million)
% 5.29/1.26  % (1099251)fmb+10_1_sil=64000:random_seed=1797403544:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.29/1.26  % (1099241)Instruction limit reached! 
% 5.29/1.26  % (1099241)------------------------------
% 5.29/1.26  % (1099241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099241)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099241)Termination reason: Instruction limit
% 5.29/1.26  % (1099241)Termination phase: Finite model building SAT solving
% 5.29/1.26  % (1099241)Time elapsed: 0.378 s
% 5.29/1.26  % (1099241)Peak memory usage: 19 MB
% 5.29/1.26  % (1099241)Instructions burned: 865 (million)
% 5.29/1.26  % (1099253)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1899566537:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 5.29/1.26  % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 5.29/1.26  % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 5.29/1.26  % TRYING [1,1,1,1,1,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,1,1,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,2,1,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,2,2,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,3,2,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,1,2,3,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [2,3,2,4,3,1,2,2,1,1]
% 5.29/1.26  % TRYING [1,1,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [1,2,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [2,2,2,4,3,1,1,1,1,1]
% 5.29/1.26  % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 5.29/1.26  % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 5.29/1.26  % fmb_start_size (= 20) larger than a detected sort maximum size!
% 5.29/1.26  % (1099253)Refutation not found, incomplete strategy
% 5.29/1.26  % (1099253)------------------------------
% 5.29/1.26  % (1099253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099253)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099253)Termination reason: Refutation not found, incomplete strategy
% 5.29/1.26  % (1099253)Time elapsed: 0.079 s
% 5.29/1.26  % (1099253)Peak memory usage: 13 MB
% 5.29/1.26  % (1099253)Instructions burned: 176 (million)
% 5.29/1.26  % (1099253)------------------------------
% 5.29/1.26  % (1099253)------------------------------
% 5.29/1.26  % TRYING [2,2,2,4,3,2,2,2,1,1]
% 5.29/1.26  % TRYING [1,3,2,4,3,1,1,1,1,1]
% 5.29/1.26  % TRYING [2,3,2,4,3,1,1,1,1,1]
% 5.29/1.26  % (1099255)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=459028859:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 5.29/1.26  % TRYING [2,2,2,4,3,1,2,2,1,2]
% 5.29/1.26  % TRYING [3,2,2,4,3,1,2,2,1,2]
% 5.29/1.26  % (1099249) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1099212-1099249"...
% 5.29/1.26  % (1099249)...printing done.
% 5.29/1.26  % (1099249)Refutation found. Thanks to Tanya!
% 5.29/1.26  % SZS status Theorem for theBenchmark
% 5.29/1.26  % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.26  % (1099249)------------------------------
% 5.29/1.26  % (1099249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.26  % (1099249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.26  % (1099249)CaDiCaL version: 2.1.3
% 5.29/1.26  % (1099249)Termination reason: Refutation
% 5.29/1.26  % (1099249)Time elapsed: 0.257 s
% 5.29/1.26  % (1099249)Peak memory usage: 16 MB
% 5.29/1.26  % (1099249)Instructions burned: 450 (million)
% 5.29/1.26  % (1099212)Success in time 0.832 s
% 5.29/1.26  % Vampire exiting
%------------------------------------------------------------------------------