TSTP Solution File: SCT042-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:17:23 EDT 2022

% Result   : Unsatisfiable 11.25s 1.83s
% Output   : Refutation 11.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  135
% Syntax   : Number of formulae    :  216 ( 139 unt;   0 def)
%            Number of atoms       :  293 (  19 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   92 (  15   ~;  12   |;   0   &)
%                                         (  65 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :  103 ( 101 usr;  67 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1148,plain,
    $false,
    inference(avatar_smt_refutation,[],[f777,f782,f787,f792,f797,f802,f807,f812,f817,f822,f827,f832,f837,f842,f847,f852,f857,f867,f872,f880,f887,f893,f898,f903,f908,f913,f920,f926,f932,f937,f942,f947,f952,f958,f963,f968,f973,f979,f984,f989,f994,f999,f1005,f1010,f1015,f1024,f1033,f1038,f1044,f1049,f1056,f1065,f1070,f1072,f1077,f1082,f1088,f1091,f1098,f1103,f1108,f1114,f1119,f1124,f1130,f1135,f1144,f1147]) ).

fof(f1147,plain,
    ( spl0_44
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1145,f956,f1007]) ).

fof(f1007,plain,
    ( spl0_44
  <=> v_a____ = v_b____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f956,plain,
    ( spl0_34
  <=> ! [X10] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X10,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1145,plain,
    ( v_a____ = v_b____
    | ~ spl0_34 ),
    inference(resolution,[],[f596,f957]) ).

fof(f957,plain,
    ( ! [X10] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X10,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f596,axiom,
    ! [X1,X9] :
      ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X9,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X1,X9),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
      | X1 = X9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_third__alt_0) ).

fof(f1144,plain,
    ( spl0_65
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1139,f824,f1141]) ).

fof(f1141,plain,
    ( spl0_65
  <=> c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f824,plain,
    ( spl0_11
  <=> c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1139,plain,
    ( c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ spl0_11 ),
    inference(resolution,[],[f826,f606]) ).

fof(f606,axiom,
    ! [X0,X5,X12] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X5,X12,X0),X0)
      | c_List_Odistinct(X12,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_1) ).

fof(f826,plain,
    ( c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f1135,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f651,f1132]) ).

fof(f1132,plain,
    ( spl0_64
  <=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f651,axiom,
    class_OrderedGroup_Oab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).

fof(f1130,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f616,f1127]) ).

fof(f1127,plain,
    ( spl0_63
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f616,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).

fof(f1124,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f661,f1121]) ).

fof(f1121,plain,
    ( spl0_62
  <=> class_Orderings_Oorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f661,axiom,
    class_Orderings_Oorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).

fof(f1119,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f618,f1116]) ).

fof(f1116,plain,
    ( spl0_61
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f618,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).

fof(f1114,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f621,f1111]) ).

fof(f1111,plain,
    ( spl0_60
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f621,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).

fof(f1108,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f650,f1105]) ).

fof(f1105,plain,
    ( spl0_59
  <=> class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f650,axiom,
    class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring__0) ).

fof(f1103,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f664,f1100]) ).

fof(f1100,plain,
    ( spl0_58
  <=> class_Power_Opower(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f664,axiom,
    class_Power_Opower(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Power_Opower) ).

fof(f1098,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f619,f1095]) ).

fof(f1095,plain,
    ( spl0_57
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f619,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).

fof(f1091,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f1090,f923]) ).

fof(f923,plain,
    ( spl0_28
  <=> c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1090,plain,
    c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(forward_demodulation,[],[f703,f393]) ).

fof(f393,axiom,
    ! [X5] : c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1) ).

fof(f703,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
    inference(definition_unfolding,[],[f353,f313,f313]) ).

fof(f313,axiom,
    ! [X3] : c_Suc(X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X3,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1__left_0) ).

fof(f353,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_one__is__add_5) ).

fof(f1088,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f648,f1085]) ).

fof(f1085,plain,
    ( spl0_56
  <=> class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f648,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one) ).

fof(f1082,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f640,f1079]) ).

fof(f1079,plain,
    ( spl0_55
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f640,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).

fof(f1077,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f623,f1074]) ).

fof(f1074,plain,
    ( spl0_54
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f623,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__0) ).

fof(f1072,plain,
    ( spl0_34
    | spl0_3 ),
    inference(avatar_split_clause,[],[f610,f784,f956]) ).

fof(f784,plain,
    ( spl0_3
  <=> v_thesis____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f610,axiom,
    ! [X5] :
      ( v_thesis____
      | ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X5,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1070,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f614,f1067]) ).

fof(f1067,plain,
    ( spl0_53
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f614,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).

fof(f1065,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f635,f1062]) ).

fof(f1062,plain,
    ( spl0_52
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f635,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

fof(f1056,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f625,f1053]) ).

fof(f1053,plain,
    ( spl0_51
  <=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f625,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__mult) ).

fof(f1049,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f613,f1046]) ).

fof(f1046,plain,
    ( spl0_50
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f613,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).

fof(f1044,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f666,f1041]) ).

fof(f1041,plain,
    ( spl0_49
  <=> class_HOL_Oord(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f666,axiom,
    class_HOL_Oord(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__HOL_Oord) ).

fof(f1038,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f634,f1035]) ).

fof(f1035,plain,
    ( spl0_48
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f634,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

fof(f1033,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f657,f1030]) ).

fof(f1030,plain,
    ( spl0_47
  <=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f657,axiom,
    class_Ring__and__Field_Oidom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).

fof(f1024,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f629,f1021]) ).

fof(f1021,plain,
    ( spl0_46
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f629,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f1015,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f644,f1012]) ).

fof(f1012,plain,
    ( spl0_45
  <=> class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f644,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) ).

fof(f1010,plain,
    ~ spl0_44,
    inference(avatar_split_clause,[],[f608,f1007]) ).

fof(f608,axiom,
    v_a____ != v_b____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f1005,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f620,f1002]) ).

fof(f1002,plain,
    ( spl0_43
  <=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f620,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).

fof(f999,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f647,f996]) ).

fof(f996,plain,
    ( spl0_42
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f647,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).

fof(f994,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f642,f991]) ).

fof(f991,plain,
    ( spl0_41
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f642,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).

fof(f989,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f655,f986]) ).

fof(f986,plain,
    ( spl0_40
  <=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f655,axiom,
    class_OrderedGroup_Ogroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).

fof(f984,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f631,f981]) ).

fof(f981,plain,
    ( spl0_39
  <=> class_Power_Opower(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f631,axiom,
    class_Power_Opower(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Power_Opower) ).

fof(f979,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f624,f976]) ).

fof(f976,plain,
    ( spl0_38
  <=> class_Ring__and__Field_Omult__zero(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f624,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__zero) ).

fof(f973,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f628,f970]) ).

fof(f970,plain,
    ( spl0_37
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f628,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

fof(f968,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f633,f965]) ).

fof(f965,plain,
    ( spl0_36
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f633,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

fof(f963,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f617,f960]) ).

fof(f960,plain,
    ( spl0_35
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f617,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).

fof(f958,plain,
    ( spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f601,f956,f784]) ).

fof(f601,axiom,
    ! [X10] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X10,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
      | v_thesis____ ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).

fof(f952,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f639,f949]) ).

fof(f949,plain,
    ( spl0_33
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f639,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).

fof(f947,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f612,f944]) ).

fof(f944,plain,
    ( spl0_32
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f612,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

fof(f942,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f662,f939]) ).

fof(f939,plain,
    ( spl0_31
  <=> class_Int_Oring__char__0(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f662,axiom,
    class_Int_Oring__char__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).

fof(f937,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f611,f934]) ).

fof(f934,plain,
    ( spl0_30
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f611,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

fof(f932,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f653,f929]) ).

fof(f929,plain,
    ( spl0_29
  <=> class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f653,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__mult) ).

fof(f926,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f921,f923]) ).

fof(f921,plain,
    c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(forward_demodulation,[],[f709,f393]) ).

fof(f709,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
    inference(definition_unfolding,[],[f268,f313,f313]) ).

fof(f268,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__is__1_5) ).

fof(f920,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f637,f917]) ).

fof(f917,plain,
    ( spl0_27
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f637,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add) ).

fof(f913,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f649,f910]) ).

fof(f910,plain,
    ( spl0_26
  <=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f649,axiom,
    class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__idom) ).

fof(f908,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f658,f905]) ).

fof(f905,plain,
    ( spl0_25
  <=> class_Orderings_Opreorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f658,axiom,
    class_Orderings_Opreorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Opreorder) ).

fof(f903,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f627,f900]) ).

fof(f900,plain,
    ( spl0_24
  <=> class_Divides_Osemiring__div(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f627,axiom,
    class_Divides_Osemiring__div(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).

fof(f898,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f656,f895]) ).

fof(f895,plain,
    ( spl0_23
  <=> class_Divides_Osemiring__div(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f656,axiom,
    class_Divides_Osemiring__div(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Osemiring__div) ).

fof(f893,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f641,f890]) ).

fof(f890,plain,
    ( spl0_22
  <=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f641,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).

fof(f887,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f632,f884]) ).

fof(f884,plain,
    ( spl0_21
  <=> class_Int_Onumber(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f632,axiom,
    class_Int_Onumber(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Int_Onumber) ).

fof(f880,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f875,f877]) ).

fof(f877,plain,
    ( spl0_20
  <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f875,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(forward_demodulation,[],[f684,f393]) ).

fof(f684,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
    inference(definition_unfolding,[],[f70,f313]) ).

fof(f70,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc0_1) ).

fof(f872,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f660,f869]) ).

fof(f869,plain,
    ( spl0_19
  <=> class_Divides_Oring__div(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f660,axiom,
    class_Divides_Oring__div(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Oring__div) ).

fof(f867,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f626,f864]) ).

fof(f864,plain,
    ( spl0_18
  <=> class_OrderedGroup_Omonoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f626,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).

fof(f857,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f663,f854]) ).

fof(f854,plain,
    ( spl0_17
  <=> class_Int_Onumber__ring(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f663,axiom,
    class_Int_Onumber__ring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).

fof(f852,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f643,f849]) ).

fof(f849,plain,
    ( spl0_16
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f643,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors) ).

fof(f847,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f636,f844]) ).

fof(f844,plain,
    ( spl0_15
  <=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f636,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors) ).

fof(f842,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f652,f839]) ).

fof(f839,plain,
    ( spl0_14
  <=> class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f652,axiom,
    class_Ring__and__Field_Omult__zero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__zero) ).

fof(f837,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f638,f834]) ).

fof(f834,plain,
    ( spl0_13
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f638,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add) ).

fof(f832,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f665,f829]) ).

fof(f829,plain,
    ( spl0_12
  <=> class_Int_Onumber(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f665,axiom,
    class_Int_Onumber(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber) ).

fof(f827,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f581,f824]) ).

fof(f581,axiom,
    c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_alt3_0) ).

fof(f822,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f645,f819]) ).

fof(f819,plain,
    ( spl0_10
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f645,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).

fof(f817,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f630,f814]) ).

fof(f814,plain,
    ( spl0_9
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f630,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f812,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f659,f809]) ).

fof(f809,plain,
    ( spl0_8
  <=> class_Orderings_Olinorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f659,axiom,
    class_Orderings_Olinorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).

fof(f807,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f646,f804]) ).

fof(f804,plain,
    ( spl0_7
  <=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f646,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).

fof(f802,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f721,f799]) ).

fof(f799,plain,
    ( spl0_6
  <=> c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f721,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(definition_unfolding,[],[f311,f313,f313]) ).

fof(f311,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__is__1_4) ).

fof(f797,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f615,f794]) ).

fof(f794,plain,
    ( spl0_5
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f615,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).

fof(f792,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f622,f789]) ).

fof(f789,plain,
    ( spl0_4
  <=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f622,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ozero__neq__one) ).

fof(f787,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f609,f784]) ).

fof(f609,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f782,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f654,f779]) ).

fof(f779,plain,
    ( spl0_2
  <=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f654,axiom,
    class_OrderedGroup_Omonoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).

fof(f777,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f694,f774]) ).

fof(f774,plain,
    ( spl0_1
  <=> c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f694,plain,
    c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(definition_unfolding,[],[f297,f313]) ).

fof(f297,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_One__nat__def_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 12:42:46 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (9453)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (9456)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (9474)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (9477)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (9465)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.57  % (9469)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.58  % (9471)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.58  % (9457)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.40/0.58  % (9475)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.40/0.58  % (9461)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.68/0.59  % (9455)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.68/0.59  % (9462)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.68/0.60  % (9454)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.68/0.61  % (9476)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.68/0.61  % (9480)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.68/0.61  % (9452)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.68/0.61  % (9458)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.68/0.62  % (9470)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.68/0.62  % (9472)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.68/0.62  % (9464)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.68/0.62  % (9463)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.68/0.63  % (9466)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.68/0.63  % (9459)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.68/0.63  % (9460)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.68/0.63  % (9467)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.68/0.63  % (9460)Instruction limit reached!
% 1.68/0.63  % (9460)------------------------------
% 1.68/0.63  % (9460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63  % (9460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63  % (9460)Termination reason: Unknown
% 1.68/0.63  % (9460)Termination phase: Unused predicate definition removal
% 1.68/0.63  
% 1.68/0.63  % (9460)Memory used [KB]: 1407
% 1.68/0.63  % (9460)Time elapsed: 0.003 s
% 1.68/0.63  % (9460)Instructions burned: 2 (million)
% 1.68/0.63  % (9460)------------------------------
% 1.68/0.63  % (9460)------------------------------
% 1.68/0.63  % (9481)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.68/0.63  % (9479)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.68/0.63  % (9478)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.68/0.63  % (9456)Instruction limit reached!
% 1.68/0.63  % (9456)------------------------------
% 1.68/0.63  % (9456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64  % (9468)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.64  % (9473)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.68/0.64  % (9456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64  % (9456)Termination reason: Unknown
% 1.68/0.64  % (9456)Termination phase: Saturation
% 1.68/0.64  
% 1.68/0.64  % (9456)Memory used [KB]: 6524
% 1.68/0.64  % (9456)Time elapsed: 0.039 s
% 1.68/0.64  % (9456)Instructions burned: 51 (million)
% 1.68/0.64  % (9456)------------------------------
% 1.68/0.64  % (9456)------------------------------
% 1.68/0.65  % (9459)Instruction limit reached!
% 1.68/0.65  % (9459)------------------------------
% 1.68/0.65  % (9459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.65  % (9459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.65  % (9459)Termination reason: Unknown
% 1.68/0.65  % (9459)Termination phase: Property scanning
% 1.68/0.65  
% 1.68/0.65  % (9459)Memory used [KB]: 1407
% 1.68/0.65  % (9459)Time elapsed: 0.007 s
% 1.68/0.65  % (9459)Instructions burned: 7 (million)
% 1.68/0.65  % (9459)------------------------------
% 1.68/0.65  % (9459)------------------------------
% 1.68/0.67  % (9453)Instruction limit reached!
% 1.68/0.67  % (9453)------------------------------
% 1.68/0.67  % (9453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.67  % (9453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.67  % (9453)Termination reason: Unknown
% 1.68/0.67  % (9453)Termination phase: Saturation
% 1.68/0.67  
% 1.68/0.67  % (9453)Memory used [KB]: 6652
% 1.68/0.67  % (9453)Time elapsed: 0.269 s
% 1.68/0.67  % (9453)Instructions burned: 51 (million)
% 1.68/0.67  % (9453)------------------------------
% 1.68/0.67  % (9453)------------------------------
% 2.37/0.68  % (9454)Instruction limit reached!
% 2.37/0.68  % (9454)------------------------------
% 2.37/0.68  % (9454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.68  % (9454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68  % (9454)Termination reason: Unknown
% 2.37/0.68  % (9454)Termination phase: Saturation
% 2.37/0.68  
% 2.37/0.68  % (9454)Memory used [KB]: 1791
% 2.37/0.68  % (9454)Time elapsed: 0.028 s
% 2.37/0.68  % (9454)Instructions burned: 37 (million)
% 2.37/0.68  % (9454)------------------------------
% 2.37/0.68  % (9454)------------------------------
% 2.37/0.68  % (9461)Instruction limit reached!
% 2.37/0.68  % (9461)------------------------------
% 2.37/0.68  % (9461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.69  % (9461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.69  % (9461)Termination reason: Unknown
% 2.52/0.69  % (9461)Termination phase: Saturation
% 2.52/0.69  
% 2.52/0.69  % (9461)Memory used [KB]: 2174
% 2.52/0.69  % (9461)Time elapsed: 0.186 s
% 2.52/0.69  % (9461)Instructions burned: 52 (million)
% 2.52/0.69  % (9461)------------------------------
% 2.52/0.69  % (9461)------------------------------
% 2.67/0.72  % (9457)Instruction limit reached!
% 2.67/0.72  % (9457)------------------------------
% 2.67/0.72  % (9457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72  % (9457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72  % (9457)Termination reason: Unknown
% 2.67/0.72  % (9457)Termination phase: Saturation
% 2.67/0.72  
% 2.67/0.72  % (9457)Memory used [KB]: 6396
% 2.67/0.72  % (9457)Time elapsed: 0.281 s
% 2.67/0.72  % (9457)Instructions burned: 48 (million)
% 2.67/0.72  % (9457)------------------------------
% 2.67/0.72  % (9457)------------------------------
% 2.67/0.72  % (9458)Instruction limit reached!
% 2.67/0.72  % (9458)------------------------------
% 2.67/0.72  % (9458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72  % (9458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72  % (9458)Termination reason: Unknown
% 2.67/0.72  % (9458)Termination phase: Finite model building preprocessing
% 2.67/0.72  
% 2.67/0.72  % (9458)Memory used [KB]: 2302
% 2.67/0.72  % (9458)Time elapsed: 0.037 s
% 2.67/0.72  % (9458)Instructions burned: 52 (million)
% 2.67/0.72  % (9458)------------------------------
% 2.67/0.72  % (9458)------------------------------
% 2.67/0.72  % (9469)Instruction limit reached!
% 2.67/0.72  % (9469)------------------------------
% 2.67/0.72  % (9469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72  % (9469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72  % (9469)Termination reason: Unknown
% 2.67/0.72  % (9469)Termination phase: Finite model building preprocessing
% 2.67/0.72  
% 2.67/0.72  % (9469)Memory used [KB]: 2558
% 2.67/0.72  % (9469)Time elapsed: 0.042 s
% 2.67/0.72  % (9469)Instructions burned: 59 (million)
% 2.67/0.72  % (9469)------------------------------
% 2.67/0.72  % (9469)------------------------------
% 2.76/0.72  % (9462)Instruction limit reached!
% 2.76/0.72  % (9462)------------------------------
% 2.76/0.72  % (9462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.72  % (9462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.72  % (9462)Termination reason: Unknown
% 2.76/0.72  % (9462)Termination phase: Saturation
% 2.76/0.72  
% 2.76/0.72  % (9462)Memory used [KB]: 6652
% 2.76/0.72  % (9462)Time elapsed: 0.300 s
% 2.76/0.72  % (9462)Instructions burned: 50 (million)
% 2.76/0.72  % (9462)------------------------------
% 2.76/0.72  % (9462)------------------------------
% 2.76/0.73  % (9455)Instruction limit reached!
% 2.76/0.73  % (9455)------------------------------
% 2.76/0.73  % (9455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.73  % (9455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.73  % (9455)Termination reason: Unknown
% 2.76/0.73  % (9455)Termination phase: Saturation
% 2.76/0.73  
% 2.76/0.73  % (9455)Memory used [KB]: 6652
% 2.76/0.73  % (9455)Time elapsed: 0.291 s
% 2.76/0.73  % (9455)Instructions burned: 51 (million)
% 2.76/0.73  % (9455)------------------------------
% 2.76/0.73  % (9455)------------------------------
% 2.76/0.77  % (9465)Instruction limit reached!
% 2.76/0.77  % (9465)------------------------------
% 2.76/0.77  % (9465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.77  % (9465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.77  % (9465)Termination reason: Unknown
% 2.76/0.77  % (9465)Termination phase: Saturation
% 2.76/0.77  
% 2.76/0.77  % (9465)Memory used [KB]: 7036
% 2.76/0.77  % (9465)Time elapsed: 0.330 s
% 2.76/0.77  % (9465)Instructions burned: 100 (million)
% 2.76/0.77  % (9465)------------------------------
% 2.76/0.77  % (9465)------------------------------
% 2.76/0.78  % (9471)Instruction limit reached!
% 2.76/0.78  % (9471)------------------------------
% 2.76/0.78  % (9471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.79  % (9471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.79  % (9471)Termination reason: Unknown
% 2.76/0.79  % (9471)Termination phase: Saturation
% 2.76/0.79  
% 2.76/0.79  % (9471)Memory used [KB]: 2430
% 2.76/0.79  % (9471)Time elapsed: 0.280 s
% 2.76/0.79  % (9471)Instructions burned: 100 (million)
% 2.76/0.79  % (9471)------------------------------
% 2.76/0.79  % (9471)------------------------------
% 2.76/0.80  % (9478)Instruction limit reached!
% 2.76/0.80  % (9478)------------------------------
% 2.76/0.80  % (9478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.80  % (9478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.80  % (9478)Termination reason: Unknown
% 2.76/0.80  % (9478)Termination phase: Saturation
% 2.76/0.80  
% 2.76/0.80  % (9478)Memory used [KB]: 7675
% 2.76/0.80  % (9478)Time elapsed: 0.057 s
% 2.76/0.80  % (9478)Instructions burned: 68 (million)
% 2.76/0.80  % (9478)------------------------------
% 2.76/0.80  % (9478)------------------------------
% 3.22/0.82  % (9466)Instruction limit reached!
% 3.22/0.82  % (9466)------------------------------
% 3.22/0.82  % (9466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.82  % (9466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.82  % (9466)Termination reason: Unknown
% 3.22/0.82  % (9466)Termination phase: Saturation
% 3.22/0.82  
% 3.22/0.82  % (9466)Memory used [KB]: 7547
% 3.22/0.82  % (9466)Time elapsed: 0.057 s
% 3.22/0.82  % (9466)Instructions burned: 68 (million)
% 3.22/0.82  % (9466)------------------------------
% 3.22/0.82  % (9466)------------------------------
% 3.22/0.83  % (9515)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.22/0.86  % (9467)Instruction limit reached!
% 3.22/0.86  % (9467)------------------------------
% 3.22/0.86  % (9467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.86  % (9467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.86  % (9467)Termination reason: Unknown
% 3.22/0.86  % (9467)Termination phase: Saturation
% 3.22/0.86  
% 3.22/0.86  % (9467)Memory used [KB]: 2430
% 3.22/0.86  % (9467)Time elapsed: 0.398 s
% 3.22/0.86  % (9467)Instructions burned: 76 (million)
% 3.22/0.86  % (9467)------------------------------
% 3.22/0.86  % (9467)------------------------------
% 3.52/0.88  % (9518)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.52/0.89  % (9470)Instruction limit reached!
% 3.52/0.89  % (9470)------------------------------
% 3.52/0.89  % (9470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.89  % (9463)Instruction limit reached!
% 3.52/0.89  % (9463)------------------------------
% 3.52/0.89  % (9463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.89  % (9470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.89  % (9470)Termination reason: Unknown
% 3.52/0.89  % (9470)Termination phase: Saturation
% 3.52/0.89  
% 3.52/0.89  % (9470)Memory used [KB]: 7164
% 3.52/0.89  % (9470)Time elapsed: 0.459 s
% 3.52/0.89  % (9470)Instructions burned: 101 (million)
% 3.52/0.89  % (9470)------------------------------
% 3.52/0.89  % (9470)------------------------------
% 3.52/0.89  % (9514)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.52/0.89  % (9463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.89  % (9463)Termination reason: Unknown
% 3.52/0.89  % (9463)Termination phase: Saturation
% 3.52/0.89  
% 3.52/0.89  % (9463)Memory used [KB]: 7419
% 3.52/0.89  % (9463)Time elapsed: 0.458 s
% 3.52/0.89  % (9463)Instructions burned: 100 (million)
% 3.52/0.89  % (9463)------------------------------
% 3.52/0.89  % (9463)------------------------------
% 3.52/0.90  % (9519)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.52/0.91  % (9468)Instruction limit reached!
% 3.52/0.91  % (9468)------------------------------
% 3.52/0.91  % (9468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.91  % (9468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.91  % (9468)Termination reason: Unknown
% 3.52/0.91  % (9468)Termination phase: Saturation
% 3.52/0.91  
% 3.52/0.91  % (9468)Memory used [KB]: 6780
% 3.52/0.91  % (9468)Time elapsed: 0.452 s
% 3.52/0.91  % (9468)Instructions burned: 100 (million)
% 3.52/0.91  % (9468)------------------------------
% 3.52/0.91  % (9468)------------------------------
% 3.52/0.91  % (9516)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.52/0.92  % (9517)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.52/0.93  % (9521)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.52/0.94  % (9464)Instruction limit reached!
% 3.52/0.94  % (9464)------------------------------
% 3.52/0.94  % (9464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.94  % (9464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.94  % (9464)Termination reason: Unknown
% 3.52/0.94  % (9464)Termination phase: Saturation
% 3.52/0.94  
% 3.52/0.94  % (9464)Memory used [KB]: 7164
% 3.52/0.94  % (9464)Time elapsed: 0.506 s
% 3.52/0.94  % (9464)Instructions burned: 102 (million)
% 3.52/0.94  % (9464)------------------------------
% 3.52/0.94  % (9464)------------------------------
% 3.52/0.96  % (9538)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.52/0.96  % (9520)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.52/0.97  % (9522)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.83/0.97  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.83/0.98  % (9523)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.88/0.99  % (9524)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.88/1.00  % (9543)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.93/1.02  % (9558)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 3.93/1.02  % (9473)Instruction limit reached!
% 3.93/1.02  % (9473)------------------------------
% 3.93/1.02  % (9473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/1.02  % (9473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/1.02  % (9473)Termination reason: Unknown
% 3.93/1.02  % (9473)Termination phase: Saturation
% 3.93/1.02  
% 3.93/1.02  % (9473)Memory used [KB]: 7675
% 3.93/1.02  % (9473)Time elapsed: 0.585 s
% 3.93/1.02  % (9473)Instructions burned: 138 (million)
% 3.93/1.02  % (9473)------------------------------
% 3.93/1.02  % (9473)------------------------------
% 3.93/1.03  % (9472)Instruction limit reached!
% 3.93/1.03  % (9472)------------------------------
% 3.93/1.03  % (9472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/1.03  % (9472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/1.03  % (9472)Termination reason: Unknown
% 3.93/1.03  % (9472)Termination phase: Saturation
% 3.93/1.03  
% 3.93/1.03  % (9472)Memory used [KB]: 7547
% 3.93/1.03  % (9472)Time elapsed: 0.592 s
% 3.93/1.03  % (9472)Instructions burned: 176 (million)
% 3.93/1.03  % (9472)------------------------------
% 3.93/1.03  % (9472)------------------------------
% 5.28/1.06  % (9521)Instruction limit reached!
% 5.28/1.06  % (9521)------------------------------
% 5.28/1.06  % (9521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.28/1.06  % (9521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.28/1.06  % (9521)Termination reason: Unknown
% 5.28/1.06  % (9521)Termination phase: Saturation
% 5.28/1.06  
% 5.28/1.06  % (9521)Memory used [KB]: 7547
% 5.28/1.06  % (9521)Time elapsed: 0.050 s
% 5.28/1.06  % (9521)Instructions burned: 68 (million)
% 5.28/1.06  % (9521)------------------------------
% 5.28/1.06  % (9521)------------------------------
% 5.28/1.10  % (9547)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 5.28/1.10  % (9549)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 5.28/1.11  % (9558)Instruction limit reached!
% 5.28/1.11  % (9558)------------------------------
% 5.28/1.11  % (9558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.28/1.11  % (9558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.28/1.11  % (9558)Termination reason: Unknown
% 5.28/1.11  % (9558)Termination phase: Saturation
% 5.28/1.11  
% 5.28/1.11  % (9558)Memory used [KB]: 7675
% 5.28/1.11  % (9558)Time elapsed: 0.088 s
% 5.28/1.11  % (9558)Instructions burned: 68 (million)
% 5.28/1.11  % (9558)------------------------------
% 5.28/1.11  % (9558)------------------------------
% 5.28/1.12  TRYING [1]
% 5.28/1.13  % (9516)Instruction limit reached!
% 5.28/1.13  % (9516)------------------------------
% 5.28/1.13  % (9516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.28/1.13  % (9516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.28/1.13  % (9516)Termination reason: Unknown
% 5.28/1.13  % (9516)Termination phase: Saturation
% 5.28/1.13  
% 5.28/1.13  % (9516)Memory used [KB]: 7164
% 5.28/1.13  % (9516)Time elapsed: 0.409 s
% 5.28/1.13  % (9516)Instructions burned: 91 (million)
% 5.28/1.13  % (9516)------------------------------
% 5.28/1.13  % (9516)------------------------------
% 6.08/1.15  % (9557)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 6.08/1.15  % (9554)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 6.08/1.18  % (9571)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.08/1.19  % (9479)Instruction limit reached!
% 6.08/1.19  % (9479)------------------------------
% 6.08/1.19  % (9479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.08/1.19  % (9479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.08/1.19  % (9479)Termination reason: Unknown
% 6.08/1.19  % (9479)Termination phase: Saturation
% 6.08/1.19  
% 6.08/1.19  % (9479)Memory used [KB]: 3326
% 6.08/1.19  % (9479)Time elapsed: 0.739 s
% 6.08/1.19  % (9479)Instructions burned: 178 (million)
% 6.08/1.19  % (9479)------------------------------
% 6.08/1.19  % (9479)------------------------------
% 6.08/1.20  TRYING [2]
% 6.08/1.21  % (9515)Instruction limit reached!
% 6.08/1.21  % (9515)------------------------------
% 6.08/1.21  % (9515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.08/1.21  % (9515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.08/1.21  % (9515)Termination reason: Unknown
% 6.08/1.21  % (9515)Termination phase: Saturation
% 6.08/1.21  
% 6.08/1.21  % (9515)Memory used [KB]: 4861
% 6.08/1.21  % (9515)Time elapsed: 0.464 s
% 6.08/1.21  % (9515)Instructions burned: 211 (million)
% 6.08/1.21  % (9515)------------------------------
% 6.08/1.21  % (9515)------------------------------
% 6.08/1.22  % (9560)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.56/1.24  % (9561)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 6.56/1.26  % (9569)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 6.89/1.28  % (9524)Instruction limit reached!
% 6.89/1.28  % (9524)------------------------------
% 6.89/1.28  % (9524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.28  % (9524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.28  % (9524)Termination reason: Unknown
% 6.89/1.28  % (9524)Termination phase: Saturation
% 6.89/1.28  
% 6.89/1.28  % (9524)Memory used [KB]: 6908
% 6.89/1.28  % (9524)Time elapsed: 0.485 s
% 6.89/1.28  % (9524)Instructions burned: 91 (million)
% 6.89/1.28  % (9524)------------------------------
% 6.89/1.28  % (9524)------------------------------
% 6.89/1.29  % (9577)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 7.42/1.37  % (9576)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 7.60/1.38  % (9579)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.60/1.40  % (9583)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 7.84/1.44  % (9474)Instruction limit reached!
% 7.84/1.44  % (9474)------------------------------
% 7.84/1.44  % (9474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.44  % (9474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.44  % (9474)Termination reason: Unknown
% 7.84/1.44  % (9474)Termination phase: Saturation
% 7.84/1.44  
% 7.84/1.44  % (9474)Memory used [KB]: 3965
% 7.84/1.44  % (9474)Time elapsed: 0.986 s
% 7.84/1.44  % (9474)Instructions burned: 499 (million)
% 7.84/1.44  % (9474)------------------------------
% 7.84/1.44  % (9474)------------------------------
% 7.97/1.49  % (9519)Instruction limit reached!
% 7.97/1.49  % (9519)------------------------------
% 7.97/1.49  % (9519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.97/1.49  % (9519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.97/1.49  % (9519)Termination reason: Unknown
% 7.97/1.49  % (9519)Termination phase: Saturation
% 7.97/1.49  
% 7.97/1.49  % (9519)Memory used [KB]: 11513
% 7.97/1.49  % (9519)Time elapsed: 0.737 s
% 7.97/1.49  % (9519)Instructions burned: 747 (million)
% 7.97/1.49  % (9519)------------------------------
% 7.97/1.49  % (9519)------------------------------
% 7.97/1.50  % (9582)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 8.35/1.52  % (9480)Instruction limit reached!
% 8.35/1.52  % (9480)------------------------------
% 8.35/1.52  % (9480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.35/1.52  % (9480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.35/1.52  % (9480)Termination reason: Unknown
% 8.35/1.52  % (9480)Termination phase: Saturation
% 8.35/1.52  
% 8.35/1.52  % (9480)Memory used [KB]: 10234
% 8.35/1.52  % (9480)Time elapsed: 1.068 s
% 8.35/1.52  % (9480)Instructions burned: 439 (million)
% 8.35/1.52  % (9480)------------------------------
% 8.35/1.52  % (9480)------------------------------
% 8.35/1.56  % (9481)Instruction limit reached!
% 8.35/1.56  % (9481)------------------------------
% 8.35/1.56  % (9481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.35/1.56  % (9481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.35/1.56  % (9481)Termination reason: Unknown
% 8.35/1.56  % (9481)Termination phase: Saturation
% 8.35/1.56  
% 8.35/1.56  % (9481)Memory used [KB]: 11001
% 8.35/1.56  % (9481)Time elapsed: 1.131 s
% 8.35/1.56  % (9481)Instructions burned: 356 (million)
% 8.35/1.56  % (9481)------------------------------
% 8.35/1.56  % (9481)------------------------------
% 8.62/1.59  % (9588)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 8.62/1.62  % (9601)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1824Mi)
% 9.00/1.67  % (9576)Instruction limit reached!
% 9.00/1.67  % (9576)------------------------------
% 9.00/1.67  % (9576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.00/1.67  % (9576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.00/1.67  % (9576)Termination reason: Unknown
% 9.00/1.67  % (9576)Termination phase: Saturation
% 9.00/1.67  
% 9.00/1.67  % (9576)Memory used [KB]: 7164
% 9.00/1.67  % (9576)Time elapsed: 0.524 s
% 9.00/1.67  % (9576)Instructions burned: 90 (million)
% 9.00/1.67  % (9576)------------------------------
% 9.00/1.67  % (9576)------------------------------
% 10.32/1.72  % (9607)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9707Mi)
% 10.32/1.73  % (9475)Instruction limit reached!
% 10.32/1.73  % (9475)------------------------------
% 10.32/1.73  % (9475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.32/1.73  % (9475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.32/1.73  % (9475)Termination reason: Unknown
% 10.32/1.73  % (9475)Termination phase: Saturation
% 10.32/1.73  
% 10.32/1.73  % (9475)Memory used [KB]: 11385
% 10.32/1.73  % (9475)Time elapsed: 1.194 s
% 10.32/1.73  % (9475)Instructions burned: 467 (million)
% 10.32/1.73  % (9475)------------------------------
% 10.32/1.73  % (9475)------------------------------
% 10.32/1.74  % (9616)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/44001Mi)
% 10.95/1.81  % (9603)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 11.25/1.82  % (9560)First to succeed.
% 11.25/1.83  % (9547)Also succeeded, but the first one will report.
% 11.25/1.83  % (9560)Refutation found. Thanks to Tanya!
% 11.25/1.83  % SZS status Unsatisfiable for theBenchmark
% 11.25/1.83  % SZS output start Proof for theBenchmark
% See solution above
% 11.25/1.83  % (9560)------------------------------
% 11.25/1.83  % (9560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.25/1.83  % (9560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.25/1.83  % (9560)Termination reason: Refutation
% 11.25/1.83  
% 11.25/1.83  % (9560)Memory used [KB]: 2814
% 11.25/1.83  % (9560)Time elapsed: 0.844 s
% 11.25/1.83  % (9560)Instructions burned: 206 (million)
% 11.25/1.83  % (9560)------------------------------
% 11.25/1.83  % (9560)------------------------------
% 11.25/1.83  % (9451)Success in time 1.482 s
%------------------------------------------------------------------------------