TSTP Solution File: SCT088-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SCT088-1 : 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 : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:17:30 EDT 2022

% Result   : Unsatisfiable 3.98s 1.16s
% Output   : Refutation 3.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  139
% Syntax   : Number of formulae    :  220 ( 141 unt;   0 def)
%            Number of atoms       :  299 (  18 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   94 (  15   ~;  12   |;   0   &)
%                                         (  67 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :  104 ( 102 usr;  69 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1163,plain,
    $false,
    inference(avatar_smt_refutation,[],[f785,f790,f796,f801,f806,f811,f816,f821,f826,f832,f837,f842,f847,f852,f857,f858,f865,f871,f876,f882,f887,f892,f897,f902,f907,f912,f917,f922,f928,f933,f934,f941,f947,f952,f957,f962,f967,f973,f978,f983,f988,f994,f1000,f1005,f1010,f1015,f1020,f1026,f1031,f1036,f1041,f1045,f1050,f1055,f1060,f1067,f1074,f1079,f1084,f1089,f1104,f1109,f1110,f1116,f1121,f1127,f1132,f1137,f1142,f1159,f1162]) ).

fof(f1162,plain,
    ( spl0_24
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1160,f1043,f904]) ).

fof(f904,plain,
    ( spl0_24
  <=> v_c____ = v_d____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1043,plain,
    ( spl0_50
  <=> ! [X5] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1160,plain,
    ( v_c____ = v_d____
    | ~ spl0_50 ),
    inference(resolution,[],[f596,f1044]) ).

fof(f1044,plain,
    ( ! [X5] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f1043]) ).

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(f1159,plain,
    ( spl0_67
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1154,f1118,f1156]) ).

fof(f1156,plain,
    ( spl0_67
  <=> 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_67])]) ).

fof(f1118,plain,
    ( spl0_62
  <=> 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_62])]) ).

fof(f1154,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_62 ),
    inference(resolution,[],[f1120,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(f1120,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_62 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1142,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f646,f1139]) ).

fof(f1139,plain,
    ( spl0_66
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f646,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(f1137,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f619,f1134]) ).

fof(f1134,plain,
    ( spl0_65
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

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

fof(f1132,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f657,f1129]) ).

fof(f1129,plain,
    ( spl0_64
  <=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f657,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(f1127,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f629,f1124]) ).

fof(f1124,plain,
    ( spl0_63
  <=> class_Ring__and__Field_Omult__zero(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

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

fof(f1121,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f581,f1118]) ).

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(f1116,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f670,f1113]) ).

fof(f1113,plain,
    ( spl0_61
  <=> class_Int_Oring__char__0(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f670,axiom,
    class_Int_Oring__char__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).

fof(f1110,plain,
    ( spl0_50
    | spl0_22 ),
    inference(avatar_split_clause,[],[f599,f894,f1043]) ).

fof(f894,plain,
    ( spl0_22
  <=> v_thesis____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f599,axiom,
    ! [X39] :
      ( v_thesis____
      | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X39,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_that_0) ).

fof(f1109,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f671,f1106]) ).

fof(f1106,plain,
    ( spl0_60
  <=> class_Int_Onumber__ring(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f671,axiom,
    class_Int_Onumber__ring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).

fof(f1104,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f653,f1101]) ).

fof(f1101,plain,
    ( spl0_59
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f653,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(f1089,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f668,f1086]) ).

fof(f1086,plain,
    ( spl0_58
  <=> class_Divides_Oring__div(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f668,axiom,
    class_Divides_Oring__div(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Oring__div) ).

fof(f1084,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f666,f1081]) ).

fof(f1081,plain,
    ( spl0_57
  <=> class_Orderings_Opreorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

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

fof(f1079,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f624,f1076]) ).

fof(f1076,plain,
    ( spl0_56
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f624,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(f1074,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f672,f1071]) ).

fof(f1071,plain,
    ( spl0_55
  <=> class_Power_Opower(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f672,axiom,
    class_Power_Opower(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Power_Opower) ).

fof(f1067,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f620,f1064]) ).

fof(f1064,plain,
    ( spl0_54
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

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

fof(f1060,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f655,f1057]) ).

fof(f1057,plain,
    ( spl0_53
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

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

fof(f1055,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f665,f1052]) ).

fof(f1052,plain,
    ( spl0_52
  <=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

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

fof(f1050,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f651,f1047]) ).

fof(f1047,plain,
    ( spl0_51
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f651,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(f1045,plain,
    ( spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f612,f1043,f894]) ).

fof(f612,axiom,
    ! [X5] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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)
      | v_thesis____ ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1041,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f632,f1038]) ).

fof(f1038,plain,
    ( spl0_49
  <=> class_Divides_Osemiring__div(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

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

fof(f1036,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f645,f1033]) ).

fof(f1033,plain,
    ( spl0_48
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f645,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(f1031,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f659,f1028]) ).

fof(f1028,plain,
    ( spl0_47
  <=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

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

fof(f1026,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f663,f1023]) ).

fof(f1023,plain,
    ( spl0_46
  <=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

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

fof(f1020,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f636,f1017]) ).

fof(f1017,plain,
    ( spl0_45
  <=> class_Power_Opower(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f636,axiom,
    class_Power_Opower(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Power_Opower) ).

fof(f1015,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f642,f1012]) ).

fof(f1012,plain,
    ( spl0_44
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f642,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(f1010,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f626,f1007]) ).

fof(f1007,plain,
    ( spl0_43
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

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

fof(f1005,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f643,f1002]) ).

fof(f1002,plain,
    ( spl0_42
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f643,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(f1000,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f652,f997]) ).

fof(f997,plain,
    ( spl0_41
  <=> class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f652,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(f994,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f631,f991]) ).

fof(f991,plain,
    ( spl0_40
  <=> class_OrderedGroup_Omonoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

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

fof(f988,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f649,f985]) ).

fof(f985,plain,
    ( spl0_39
  <=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f649,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(f983,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f640,f980]) ).

fof(f980,plain,
    ( spl0_38
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f640,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f978,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f656,f975]) ).

fof(f975,plain,
    ( spl0_37
  <=> class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f656,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(f973,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f661,f970]) ).

fof(f970,plain,
    ( spl0_36
  <=> class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

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

fof(f967,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f628,f964]) ).

fof(f964,plain,
    ( spl0_35
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f628,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__0) ).

fof(f962,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f625,f959]) ).

fof(f959,plain,
    ( spl0_34
  <=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

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

fof(f957,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f635,f954]) ).

fof(f954,plain,
    ( spl0_33
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f635,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f952,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f638,f949]) ).

fof(f949,plain,
    ( spl0_32
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f638,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

fof(f947,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f639,f944]) ).

fof(f944,plain,
    ( spl0_31
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f639,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f941,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f633,f938]) ).

fof(f938,plain,
    ( spl0_30
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

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

fof(f934,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f688,f930]) ).

fof(f930,plain,
    ( spl0_29
  <=> 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) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f688,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(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(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(f933,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f767,f930]) ).

fof(f767,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(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(f928,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f673,f925]) ).

fof(f925,plain,
    ( spl0_28
  <=> class_Int_Onumber(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f673,axiom,
    class_Int_Onumber(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber) ).

fof(f922,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f662,f919]) ).

fof(f919,plain,
    ( spl0_27
  <=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

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

fof(f917,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f669,f914]) ).

fof(f914,plain,
    ( spl0_26
  <=> class_Orderings_Oorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f669,axiom,
    class_Orderings_Oorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).

fof(f912,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f644,f909]) ).

fof(f909,plain,
    ( spl0_25
  <=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f644,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(f907,plain,
    ~ spl0_24,
    inference(avatar_split_clause,[],[f609,f904]) ).

fof(f609,axiom,
    v_c____ != v_d____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

fof(f902,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f648,f899]) ).

fof(f899,plain,
    ( spl0_23
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f648,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(f897,plain,
    ~ spl0_22,
    inference(avatar_split_clause,[],[f611,f894]) ).

fof(f611,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f892,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f660,f889]) ).

fof(f889,plain,
    ( spl0_21
  <=> class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f660,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(f887,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f778,f884]) ).

fof(f884,plain,
    ( spl0_20
  <=> 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_20])]) ).

fof(f778,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) ).

fof(f882,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f647,f879]) ).

fof(f879,plain,
    ( spl0_19
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f647,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(f876,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f674,f873]) ).

fof(f873,plain,
    ( spl0_18
  <=> class_HOL_Oord(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f674,axiom,
    class_HOL_Oord(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__HOL_Oord) ).

fof(f871,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f623,f868]) ).

fof(f868,plain,
    ( spl0_17
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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

fof(f865,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f617,f862]) ).

fof(f862,plain,
    ( spl0_16
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f617,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(f858,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f762,f823]) ).

fof(f823,plain,
    ( spl0_9
  <=> 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_9])]) ).

fof(f762,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(f857,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f654,f854]) ).

fof(f854,plain,
    ( spl0_15
  <=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

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

fof(f852,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f641,f849]) ).

fof(f849,plain,
    ( spl0_14
  <=> class_HOL_Oord(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f641,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

fof(f847,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f621,f844]) ).

fof(f844,plain,
    ( spl0_13
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

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

fof(f842,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f637,f839]) ).

fof(f839,plain,
    ( spl0_12
  <=> class_Int_Onumber(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f637,axiom,
    class_Int_Onumber(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Int_Onumber) ).

fof(f837,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f618,f834]) ).

fof(f834,plain,
    ( spl0_11
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

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

fof(f832,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f622,f829]) ).

fof(f829,plain,
    ( spl0_10
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f622,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(f826,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f705,f823]) ).

fof(f705,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,[],[f226,f313,f313]) ).

fof(f226,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_one__is__add_4) ).

fof(f821,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f627,f818]) ).

fof(f818,plain,
    ( spl0_8
  <=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f627,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(f816,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f667,f813]) ).

fof(f813,plain,
    ( spl0_7
  <=> class_Orderings_Olinorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f667,axiom,
    class_Orderings_Olinorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).

fof(f811,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f650,f808]) ).

fof(f808,plain,
    ( spl0_6
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f806,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f658,f803]) ).

fof(f803,plain,
    ( spl0_5
  <=> class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f658,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(f801,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f616,f798]) ).

fof(f798,plain,
    ( spl0_4
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f616,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(f796,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f634,f793]) ).

fof(f793,plain,
    ( spl0_3
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f634,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f790,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f630,f787]) ).

fof(f787,plain,
    ( spl0_2
  <=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f785,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f664,f782]) ).

fof(f782,plain,
    ( spl0_1
  <=> class_Divides_Osemiring__div(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SCT088-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:34:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.52  % (2687)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)
% 0.18/0.52  % (2695)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)
% 0.18/0.53  % (2679)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (2698)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)
% 0.18/0.54  % (2690)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (2672)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)
% 0.18/0.54  % (2680)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.55  % (2701)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)
% 0.18/0.55  % (2679)Instruction limit reached!
% 0.18/0.55  % (2679)------------------------------
% 0.18/0.55  % (2679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (2679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (2679)Termination reason: Unknown
% 0.18/0.55  % (2679)Termination phase: Property scanning
% 0.18/0.55  
% 0.18/0.55  % (2679)Memory used [KB]: 1535
% 0.18/0.55  % (2679)Time elapsed: 0.011 s
% 0.18/0.55  % (2679)Instructions burned: 9 (million)
% 0.18/0.55  % (2679)------------------------------
% 0.18/0.55  % (2679)------------------------------
% 0.18/0.55  % (2673)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)
% 0.18/0.55  % (2675)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)
% 0.18/0.55  % (2676)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.55  % (2677)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)
% 0.18/0.55  % (2697)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.55  % (2685)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.56  % (2674)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)
% 0.18/0.56  % (2689)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.56  % (2682)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.56  % (2696)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.56  % (2692)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)
% 0.18/0.56  % (2678)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)
% 0.18/0.56  % (2681)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)
% 0.18/0.56  % (2691)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)
% 0.18/0.56  % (2684)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.56  % (2699)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)
% 0.18/0.57  % (2680)Instruction limit reached!
% 0.18/0.57  % (2680)------------------------------
% 0.18/0.57  % (2680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (2680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (2680)Termination reason: Unknown
% 0.18/0.57  % (2680)Termination phase: Function definition elimination
% 0.18/0.57  
% 0.18/0.57  % (2680)Memory used [KB]: 1407
% 0.18/0.57  % (2680)Time elapsed: 0.004 s
% 0.18/0.57  % (2680)Instructions burned: 3 (million)
% 0.18/0.57  % (2680)------------------------------
% 0.18/0.57  % (2680)------------------------------
% 0.18/0.57  % (2693)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.57  % (2694)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)
% 0.18/0.57  % (2700)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.57  % (2683)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)
% 0.18/0.57  % (2688)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)
% 0.18/0.57  % (2686)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)
% 1.85/0.61  % (2674)Instruction limit reached!
% 1.85/0.61  % (2674)------------------------------
% 1.85/0.61  % (2674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (2678)Instruction limit reached!
% 1.85/0.62  % (2678)------------------------------
% 1.85/0.62  % (2678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (2678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62  % (2678)Termination reason: Unknown
% 1.85/0.62  % (2678)Termination phase: Finite model building preprocessing
% 1.85/0.62  
% 1.85/0.62  % (2678)Memory used [KB]: 2430
% 1.85/0.62  % (2678)Time elapsed: 0.021 s
% 1.85/0.62  % (2678)Instructions burned: 51 (million)
% 1.85/0.62  % (2678)------------------------------
% 1.85/0.62  % (2678)------------------------------
% 2.00/0.63  % (2676)Instruction limit reached!
% 2.00/0.63  % (2676)------------------------------
% 2.00/0.63  % (2676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63  % (2674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63  % (2674)Termination reason: Unknown
% 2.00/0.63  % (2674)Termination phase: Saturation
% 2.00/0.63  
% 2.00/0.63  % (2674)Memory used [KB]: 1791
% 2.00/0.63  % (2674)Time elapsed: 0.020 s
% 2.00/0.63  % (2674)Instructions burned: 39 (million)
% 2.00/0.63  % (2674)------------------------------
% 2.00/0.63  % (2674)------------------------------
% 2.00/0.64  % (2677)Instruction limit reached!
% 2.00/0.64  % (2677)------------------------------
% 2.00/0.64  % (2677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.64  % (2677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.64  % (2677)Termination reason: Unknown
% 2.00/0.64  % (2677)Termination phase: Saturation
% 2.00/0.64  
% 2.00/0.64  % (2677)Memory used [KB]: 6396
% 2.00/0.64  % (2677)Time elapsed: 0.193 s
% 2.00/0.64  % (2677)Instructions burned: 48 (million)
% 2.00/0.64  % (2677)------------------------------
% 2.00/0.64  % (2677)------------------------------
% 2.00/0.64  % (2682)Instruction limit reached!
% 2.00/0.64  % (2682)------------------------------
% 2.00/0.64  % (2682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.64  % (2682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.64  % (2682)Termination reason: Unknown
% 2.00/0.64  % (2682)Termination phase: Saturation
% 2.00/0.64  
% 2.00/0.64  % (2682)Memory used [KB]: 6652
% 2.00/0.64  % (2682)Time elapsed: 0.202 s
% 2.00/0.64  % (2682)Instructions burned: 51 (million)
% 2.00/0.64  % (2682)------------------------------
% 2.00/0.64  % (2682)------------------------------
% 2.00/0.65  % (2676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (2676)Termination reason: Unknown
% 2.00/0.65  % (2676)Termination phase: Saturation
% 2.00/0.65  
% 2.00/0.65  % (2676)Memory used [KB]: 6524
% 2.00/0.65  % (2681)Instruction limit reached!
% 2.00/0.65  % (2681)------------------------------
% 2.00/0.65  % (2681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.65  % (2681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (2681)Termination reason: Unknown
% 2.00/0.65  % (2681)Termination phase: Saturation
% 2.00/0.65  
% 2.00/0.65  % (2681)Memory used [KB]: 2302
% 2.00/0.65  % (2681)Time elapsed: 0.224 s
% 2.00/0.65  % (2681)Instructions burned: 53 (million)
% 2.00/0.65  % (2681)------------------------------
% 2.00/0.65  % (2681)------------------------------
% 2.00/0.65  % (2676)Time elapsed: 0.028 s
% 2.00/0.65  % (2676)Instructions burned: 51 (million)
% 2.00/0.65  % (2676)------------------------------
% 2.00/0.65  % (2676)------------------------------
% 2.00/0.65  % (2675)Instruction limit reached!
% 2.00/0.65  % (2675)------------------------------
% 2.00/0.65  % (2675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.65  % (2675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (2675)Termination reason: Unknown
% 2.00/0.65  % (2675)Termination phase: Saturation
% 2.00/0.65  
% 2.00/0.65  % (2675)Memory used [KB]: 6652
% 2.00/0.65  % (2675)Time elapsed: 0.217 s
% 2.00/0.65  % (2675)Instructions burned: 51 (million)
% 2.00/0.65  % (2675)------------------------------
% 2.00/0.65  % (2675)------------------------------
% 2.00/0.65  % (2689)Instruction limit reached!
% 2.00/0.65  % (2689)------------------------------
% 2.00/0.65  % (2689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.65  % (2689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (2689)Termination reason: Unknown
% 2.00/0.65  % (2689)Termination phase: Finite model building preprocessing
% 2.00/0.65  
% 2.00/0.65  % (2689)Memory used [KB]: 2686
% 2.00/0.65  % (2689)Time elapsed: 0.028 s
% 2.00/0.65  % (2689)Instructions burned: 60 (million)
% 2.00/0.65  % (2689)------------------------------
% 2.00/0.65  % (2689)------------------------------
% 2.00/0.65  % (2687)Instruction limit reached!
% 2.00/0.65  % (2687)------------------------------
% 2.00/0.65  % (2687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.65  % (2687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (2687)Termination reason: Unknown
% 2.00/0.65  % (2687)Termination phase: Saturation
% 2.00/0.65  
% 2.00/0.65  % (2687)Memory used [KB]: 2430
% 2.00/0.65  % (2687)Time elapsed: 0.175 s
% 2.00/0.65  % (2687)Instructions burned: 76 (million)
% 2.00/0.65  % (2687)------------------------------
% 2.00/0.65  % (2687)------------------------------
% 2.00/0.66  % (2801)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)
% 2.00/0.66  % (2673)Instruction limit reached!
% 2.00/0.66  % (2673)------------------------------
% 2.00/0.66  % (2673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.66  % (2673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.66  % (2673)Termination reason: Unknown
% 2.00/0.66  % (2673)Termination phase: Saturation
% 2.00/0.66  
% 2.00/0.66  % (2673)Memory used [KB]: 6524
% 2.00/0.66  % (2673)Time elapsed: 0.237 s
% 2.00/0.66  % (2673)Instructions burned: 50 (million)
% 2.00/0.66  % (2673)------------------------------
% 2.00/0.66  % (2673)------------------------------
% 2.00/0.66  % (2698)Instruction limit reached!
% 2.00/0.66  % (2698)------------------------------
% 2.00/0.66  % (2698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.66  % (2698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.66  % (2698)Termination reason: Unknown
% 2.00/0.66  % (2698)Termination phase: Saturation
% 2.00/0.66  
% 2.00/0.66  % (2698)Memory used [KB]: 7675
% 2.00/0.66  % (2698)Time elapsed: 0.054 s
% 2.00/0.66  % (2698)Instructions burned: 69 (million)
% 2.00/0.66  % (2698)------------------------------
% 2.00/0.66  % (2698)------------------------------
% 2.00/0.69  % (2686)Instruction limit reached!
% 2.00/0.69  % (2686)------------------------------
% 2.00/0.69  % (2686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.69  % (2686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.69  % (2686)Termination reason: Unknown
% 2.00/0.69  % (2686)Termination phase: Saturation
% 2.00/0.69  
% 2.00/0.69  % (2686)Memory used [KB]: 7675
% 2.00/0.69  % (2686)Time elapsed: 0.037 s
% 2.00/0.69  % (2686)Instructions burned: 68 (million)
% 2.00/0.69  % (2686)------------------------------
% 2.00/0.69  % (2686)------------------------------
% 2.00/0.69  % (2808)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)
% 2.00/0.70  % (2690)Instruction limit reached!
% 2.00/0.70  % (2690)------------------------------
% 2.00/0.70  % (2690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.70  % (2690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.70  % (2690)Termination reason: Unknown
% 2.00/0.70  % (2690)Termination phase: Saturation
% 2.00/0.70  
% 2.00/0.70  % (2690)Memory used [KB]: 7164
% 2.00/0.70  % (2690)Time elapsed: 0.262 s
% 2.00/0.70  % (2690)Instructions burned: 101 (million)
% 2.00/0.70  % (2690)------------------------------
% 2.00/0.70  % (2690)------------------------------
% 2.60/0.72  % (2688)Instruction limit reached!
% 2.60/0.72  % (2688)------------------------------
% 2.60/0.72  % (2688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.72  % (2688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.72  % (2688)Termination reason: Unknown
% 2.60/0.72  % (2688)Termination phase: Saturation
% 2.60/0.72  
% 2.60/0.72  % (2688)Memory used [KB]: 6780
% 2.60/0.72  % (2688)Time elapsed: 0.296 s
% 2.60/0.72  % (2688)Instructions burned: 99 (million)
% 2.60/0.72  % (2688)------------------------------
% 2.60/0.72  % (2688)------------------------------
% 2.60/0.73  % (2691)Instruction limit reached!
% 2.60/0.73  % (2691)------------------------------
% 2.60/0.73  % (2691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73  % (2691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73  % (2691)Termination reason: Unknown
% 2.60/0.73  % (2691)Termination phase: Saturation
% 2.60/0.73  
% 2.60/0.73  % (2691)Memory used [KB]: 2430
% 2.60/0.73  % (2691)Time elapsed: 0.313 s
% 2.60/0.73  % (2691)Instructions burned: 100 (million)
% 2.60/0.73  % (2691)------------------------------
% 2.60/0.73  % (2691)------------------------------
% 2.60/0.74  % (2684)Instruction limit reached!
% 2.60/0.74  % (2684)------------------------------
% 2.60/0.74  % (2684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.74  % (2684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.74  % (2684)Termination reason: Unknown
% 2.60/0.74  % (2684)Termination phase: Saturation
% 2.60/0.74  
% 2.60/0.74  % (2684)Memory used [KB]: 7164
% 2.60/0.74  % (2684)Time elapsed: 0.304 s
% 2.60/0.74  % (2684)Instructions burned: 101 (million)
% 2.60/0.74  % (2684)------------------------------
% 2.60/0.74  % (2684)------------------------------
% 2.60/0.75  % (2683)Instruction limit reached!
% 2.60/0.75  % (2683)------------------------------
% 2.60/0.75  % (2683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.75  % (2683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.75  % (2683)Termination reason: Unknown
% 2.60/0.75  % (2683)Termination phase: Saturation
% 2.60/0.75  
% 2.60/0.75  % (2683)Memory used [KB]: 7291
% 2.60/0.75  % (2683)Time elapsed: 0.314 s
% 2.60/0.75  % (2683)Instructions burned: 101 (million)
% 2.60/0.75  % (2683)------------------------------
% 2.60/0.75  % (2683)------------------------------
% 2.60/0.75  % (2685)Instruction limit reached!
% 2.60/0.75  % (2685)------------------------------
% 2.60/0.75  % (2685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.75  % (2685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.75  % (2685)Termination reason: Unknown
% 2.60/0.75  % (2685)Termination phase: Saturation
% 2.60/0.75  
% 2.60/0.75  % (2685)Memory used [KB]: 7036
% 2.60/0.75  % (2685)Time elapsed: 0.312 s
% 2.60/0.75  % (2685)Instructions burned: 99 (million)
% 2.60/0.75  % (2685)------------------------------
% 2.60/0.75  % (2685)------------------------------
% 2.60/0.75  % (2830)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 (2997ds/747Mi)
% 2.60/0.76  % (2832)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 (2997ds/655Mi)
% 2.60/0.76  % (2819)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 (2997ds/90Mi)
% 2.60/0.76  % (2835)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)
% 2.60/0.76  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.60/0.76  % (2836)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)
% 2.60/0.77  % (2823)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.60/0.77  % (2833)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 (2997ds/68Mi)
% 2.60/0.78  % (2837)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)
% 2.92/0.79  % (2826)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.92/0.80  % (2841)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 (2996ds/2016Mi)
% 2.92/0.80  % (2843)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.92/0.81  % (2851)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 (2996ds/4958Mi)
% 2.92/0.82  TRYING [1]
% 2.92/0.83  % (2857)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.92/0.83  % (2699)Instruction limit reached!
% 2.92/0.83  % (2699)------------------------------
% 2.92/0.83  % (2699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.83  % (2699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.83  % (2699)Termination reason: Unknown
% 2.92/0.83  % (2699)Termination phase: Saturation
% 2.92/0.83  
% 2.92/0.83  % (2699)Memory used [KB]: 3454
% 2.92/0.83  % (2699)Time elapsed: 0.410 s
% 2.92/0.83  % (2699)Instructions burned: 177 (million)
% 2.92/0.83  % (2699)------------------------------
% 2.92/0.83  % (2699)------------------------------
% 2.92/0.84  % (2693)Instruction limit reached!
% 2.92/0.84  % (2693)------------------------------
% 2.92/0.84  % (2693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.84  % (2693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.84  % (2693)Termination reason: Unknown
% 2.92/0.84  % (2693)Termination phase: Saturation
% 2.92/0.84  
% 2.92/0.84  % (2693)Memory used [KB]: 7803
% 2.92/0.84  % (2693)Time elapsed: 0.421 s
% 2.92/0.84  % (2693)Instructions burned: 138 (million)
% 2.92/0.84  % (2693)------------------------------
% 2.92/0.84  % (2693)------------------------------
% 2.92/0.86  % (2873)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 (2996ds/4931Mi)
% 2.92/0.86  % (2866)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.17/0.87  % (2692)Instruction limit reached!
% 3.17/0.87  % (2692)------------------------------
% 3.17/0.87  % (2692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.87  % (2692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.87  % (2692)Termination reason: Unknown
% 3.17/0.87  % (2692)Termination phase: Saturation
% 3.17/0.87  
% 3.17/0.87  % (2692)Memory used [KB]: 7675
% 3.17/0.87  % (2692)Time elapsed: 0.450 s
% 3.17/0.87  % (2692)Instructions burned: 176 (million)
% 3.17/0.87  % (2692)------------------------------
% 3.17/0.87  % (2692)------------------------------
% 3.17/0.87  TRYING [2]
% 3.17/0.88  % (2878)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)
% 3.21/0.88  % (2884)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 (2996ds/1824Mi)
% 3.21/0.89  % (2885)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 (2996ds/2134Mi)
% 3.21/0.90  % (2833)Instruction limit reached!
% 3.21/0.90  % (2833)------------------------------
% 3.21/0.90  % (2833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.90  % (2833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.90  % (2833)Termination reason: Unknown
% 3.21/0.90  % (2833)Termination phase: Saturation
% 3.21/0.90  
% 3.21/0.90  % (2833)Memory used [KB]: 7675
% 3.21/0.90  % (2833)Time elapsed: 0.039 s
% 3.21/0.90  % (2833)Instructions burned: 69 (million)
% 3.21/0.90  % (2833)------------------------------
% 3.21/0.90  % (2833)------------------------------
% 3.21/0.90  % (2819)Instruction limit reached!
% 3.21/0.90  % (2819)------------------------------
% 3.21/0.90  % (2819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.92  % (2819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.92  % (2819)Termination reason: Unknown
% 3.34/0.92  % (2819)Termination phase: Saturation
% 3.34/0.92  
% 3.34/0.92  % (2819)Memory used [KB]: 7164
% 3.34/0.92  % (2819)Time elapsed: 0.241 s
% 3.34/0.92  % (2819)Instructions burned: 90 (million)
% 3.34/0.92  % (2819)------------------------------
% 3.34/0.92  % (2819)------------------------------
% 3.45/0.94  % (2911)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.45/0.95  % (2837)Instruction limit reached!
% 3.45/0.95  % (2837)------------------------------
% 3.45/0.95  % (2837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.45/0.95  % (2837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.45/0.95  % (2837)Termination reason: Unknown
% 3.45/0.95  % (2837)Termination phase: Saturation
% 3.45/0.95  
% 3.45/0.95  % (2837)Memory used [KB]: 7036
% 3.45/0.95  % (2837)Time elapsed: 0.247 s
% 3.45/0.95  % (2837)Instructions burned: 90 (million)
% 3.45/0.95  % (2837)------------------------------
% 3.45/0.95  % (2837)------------------------------
% 3.45/0.97  % (2912)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.45/0.98  % (2878)Instruction limit reached!
% 3.45/0.98  % (2878)------------------------------
% 3.45/0.98  % (2878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.45/0.98  % (2878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.45/0.98  % (2878)Termination reason: Unknown
% 3.45/0.98  % (2878)Termination phase: Saturation
% 3.45/0.98  
% 3.45/0.98  % (2878)Memory used [KB]: 7675
% 3.45/0.98  % (2878)Time elapsed: 0.037 s
% 3.45/0.98  % (2878)Instructions burned: 69 (million)
% 3.45/0.98  % (2878)------------------------------
% 3.45/0.98  % (2878)------------------------------
% 3.45/1.01  % (2808)Instruction limit reached!
% 3.45/1.01  % (2808)------------------------------
% 3.45/1.01  % (2808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.45/1.01  % (2808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.45/1.01  % (2808)Termination reason: Unknown
% 3.45/1.01  % (2808)Termination phase: Saturation
% 3.45/1.01  
% 3.45/1.01  % (2808)Memory used [KB]: 4861
% 3.45/1.01  % (2808)Time elapsed: 0.416 s
% 3.45/1.01  % (2808)Instructions burned: 212 (million)
% 3.45/1.01  % (2808)------------------------------
% 3.45/1.01  % (2808)------------------------------
% 3.83/1.01  % (2913)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 (2994ds/90Mi)
% 3.83/1.03  % (2914)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 (2994ds/2016Mi)
% 3.83/1.04  % (2915)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.83/1.08  % (2916)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 (2993ds/9965Mi)
% 3.98/1.10  % (2917)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 3.98/1.15  % (2851)First to succeed.
% 3.98/1.16  % (2918)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 (2993ds/9902Mi)
% 3.98/1.16  % (2913)Instruction limit reached!
% 3.98/1.16  % (2913)------------------------------
% 3.98/1.16  % (2913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.98/1.16  % (2913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.98/1.16  % (2913)Termination reason: Unknown
% 3.98/1.16  % (2913)Termination phase: Saturation
% 3.98/1.16  
% 3.98/1.16  % (2913)Memory used [KB]: 7164
% 3.98/1.16  % (2913)Time elapsed: 0.279 s
% 3.98/1.16  % (2913)Instructions burned: 92 (million)
% 3.98/1.16  % (2913)------------------------------
% 3.98/1.16  % (2913)------------------------------
% 3.98/1.16  % (2851)Refutation found. Thanks to Tanya!
% 3.98/1.16  % SZS status Unsatisfiable for theBenchmark
% 3.98/1.16  % SZS output start Proof for theBenchmark
% See solution above
% 3.98/1.17  % (2851)------------------------------
% 3.98/1.17  % (2851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.98/1.17  % (2851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.98/1.17  % (2851)Termination reason: Refutation
% 3.98/1.17  
% 3.98/1.17  % (2851)Memory used [KB]: 2302
% 3.98/1.17  % (2851)Time elapsed: 0.445 s
% 3.98/1.17  % (2851)Instructions burned: 256 (million)
% 3.98/1.17  % (2851)------------------------------
% 3.98/1.17  % (2851)------------------------------
% 3.98/1.17  % (2653)Success in time 0.823 s
%------------------------------------------------------------------------------