TSTP Solution File: GEO606+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : GEO606+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 06:28:06 EDT 2024

% Result   : Theorem 4.40s 1.04s
% Output   : Refutation 4.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  231 (   4 unt;   0 def)
%            Number of atoms       :  707 (   0 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  779 ( 303   ~; 298   |; 118   &)
%                                         (  18 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   28 (  27 usr;  19 prp; 0-8 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :  771 ( 717   !;  54   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17236,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1991,f2131,f3521,f9035,f10772,f10773,f11057,f15569,f16242,f16690,f16727,f16758,f16809,f16910,f17084,f17116,f17156,f17192,f17235]) ).

fof(f17235,plain,
    ( ~ spl38_19
    | ~ spl38_154
    | spl38_528 ),
    inference(avatar_contradiction_clause,[],[f17234]) ).

fof(f17234,plain,
    ( $false
    | ~ spl38_19
    | ~ spl38_154
    | spl38_528 ),
    inference(subsumption_resolution,[],[f17226,f1068]) ).

fof(f1068,plain,
    ( midp(sK6,sK3,sK3)
    | ~ spl38_19 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f1067,plain,
    ( spl38_19
  <=> midp(sK6,sK3,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_19])]) ).

fof(f17226,plain,
    ( ~ midp(sK6,sK3,sK3)
    | ~ spl38_154
    | spl38_528 ),
    inference(resolution,[],[f16909,f9020]) ).

fof(f9020,plain,
    ( ! [X2,X0,X1] :
        ( cong(X0,X1,X2,X0)
        | ~ midp(X2,X0,X1) )
    | ~ spl38_154 ),
    inference(avatar_component_clause,[],[f9019]) ).

fof(f9019,plain,
    ( spl38_154
  <=> ! [X2,X0,X1] :
        ( cong(X0,X1,X2,X0)
        | ~ midp(X2,X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_154])]) ).

fof(f16909,plain,
    ( ~ cong(sK3,sK3,sK6,sK3)
    | spl38_528 ),
    inference(avatar_component_clause,[],[f16907]) ).

fof(f16907,plain,
    ( spl38_528
  <=> cong(sK3,sK3,sK6,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_528])]) ).

fof(f17192,plain,
    ( ~ spl38_31
    | spl38_527 ),
    inference(avatar_contradiction_clause,[],[f17191]) ).

fof(f17191,plain,
    ( $false
    | ~ spl38_31
    | spl38_527 ),
    inference(subsumption_resolution,[],[f17180,f7956]) ).

fof(f7956,plain,
    ( ! [X2,X0,X1] : cyclic(X2,X2,X0,X1)
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f4439,f4414]) ).

fof(f4414,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X2,X2,X0,X1)
        | ~ coll(X0,X1,X2) )
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f4405,f1990]) ).

fof(f1990,plain,
    ( ! [X0,X1] : para(X0,X1,X0,X1)
    | ~ spl38_31 ),
    inference(avatar_component_clause,[],[f1989]) ).

fof(f1989,plain,
    ( spl38_31
  <=> ! [X0,X1] : para(X0,X1,X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_31])]) ).

fof(f4405,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | cyclic(X2,X2,X0,X1)
      | ~ para(X0,X2,X0,X2) ),
    inference(resolution,[],[f952,f440]) ).

fof(f440,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f262,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f952,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
      | ~ coll(X0,X2,X3)
      | cyclic(X1,X3,X0,X2) ),
    inference(resolution,[],[f478,f403]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f211]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1,X8,X9] :
      ( ( coll(X8,X9,X1)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f478,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f306,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4439,plain,
    ( ! [X2,X0,X1] :
        ( coll(X0,X1,X2)
        | cyclic(X2,X2,X0,X1) )
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f4430,f1990]) ).

fof(f4430,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | cyclic(X2,X2,X0,X1)
      | ~ para(X0,X2,X0,X2) ),
    inference(resolution,[],[f953,f440]) ).

fof(f953,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
      | coll(X0,X2,X1)
      | cyclic(X1,X3,X0,X2) ),
    inference(resolution,[],[f478,f402]) ).

fof(f402,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f209]) ).

fof(f209,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ coll(X2,X3,X0)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X8,X9] :
      ( ( ~ coll(X8,X9,X0)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f17180,plain,
    ( ~ cyclic(sK7,sK7,sK3,sK7)
    | spl38_527 ),
    inference(resolution,[],[f16905,f386]) ).

fof(f386,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16905,plain,
    ( ~ cyclic(sK7,sK3,sK7,sK7)
    | spl38_527 ),
    inference(avatar_component_clause,[],[f16903]) ).

fof(f16903,plain,
    ( spl38_527
  <=> cyclic(sK7,sK3,sK7,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_527])]) ).

fof(f17156,plain,
    ( ~ spl38_31
    | spl38_526 ),
    inference(avatar_contradiction_clause,[],[f17155]) ).

fof(f17155,plain,
    ( $false
    | ~ spl38_31
    | spl38_526 ),
    inference(subsumption_resolution,[],[f17147,f7956]) ).

fof(f17147,plain,
    ( ~ cyclic(sK7,sK7,sK3,sK3)
    | spl38_526 ),
    inference(resolution,[],[f16901,f386]) ).

fof(f16901,plain,
    ( ~ cyclic(sK7,sK3,sK7,sK3)
    | spl38_526 ),
    inference(avatar_component_clause,[],[f16899]) ).

fof(f16899,plain,
    ( spl38_526
  <=> cyclic(sK7,sK3,sK7,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_526])]) ).

fof(f17116,plain,
    ( ~ spl38_31
    | spl38_529 ),
    inference(avatar_contradiction_clause,[],[f17115]) ).

fof(f17115,plain,
    ( $false
    | ~ spl38_31
    | spl38_529 ),
    inference(resolution,[],[f17085,f10763]) ).

fof(f10763,plain,
    ( ! [X0] : midp(X0,X0,X0)
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f10762,f2133]) ).

fof(f2133,plain,
    ( ! [X0,X1] : coll(X0,X1,X1)
    | ~ spl38_31 ),
    inference(resolution,[],[f1990,f488]) ).

fof(f488,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f389,f378]) ).

fof(f378,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f389,plain,
    ! [X2,X3,X0,X1] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f10762,plain,
    ( ! [X0] :
        ( midp(X0,X0,X0)
        | ~ coll(X0,X0,X0) )
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f10761,f7956]) ).

fof(f10761,plain,
    ( ! [X0,X1] :
        ( ~ cyclic(X0,X0,X1,X0)
        | midp(X0,X0,X0)
        | ~ coll(X0,X0,X0) )
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f10747,f7956]) ).

fof(f10747,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | ~ cyclic(X0,X0,X1,X0)
      | midp(X0,X0,X0)
      | ~ coll(X0,X0,X0) ),
    inference(duplicate_literal_removal,[],[f10716]) ).

fof(f10716,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | ~ cyclic(X0,X0,X1,X0)
      | ~ cyclic(X0,X0,X1,X0)
      | midp(X0,X0,X0)
      | ~ coll(X0,X0,X0) ),
    inference(resolution,[],[f1610,f515]) ).

fof(f515,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X2,X0)
      | midp(X0,X1,X2)
      | ~ coll(X0,X1,X2) ),
    inference(resolution,[],[f380,f393]) ).

fof(f393,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f380,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1610,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X1,X0,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X0) ),
    inference(duplicate_literal_removal,[],[f1598]) ).

fof(f1598,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X1,X0,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f452,f387]) ).

fof(f387,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X0,X1,X8,X9] :
      ( cyclic(X0,X1,X8,X9)
     => eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f452,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f275]) ).

fof(f275,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        & cyclic(X0,X1,X2,X5)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cong(X0,X1,X3,X4) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2,X8,X9,X14] :
      ( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
        & cyclic(X0,X1,X2,X14)
        & cyclic(X0,X1,X2,X9)
        & cyclic(X0,X1,X2,X8) )
     => cong(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f17085,plain,
    ( ! [X0] : ~ midp(sK3,X0,X0)
    | ~ spl38_31
    | spl38_529 ),
    inference(resolution,[],[f16945,f9614]) ).

fof(f9614,plain,
    ( ! [X2,X0,X1] :
        ( midp(X0,X1,X1)
        | ~ midp(X0,X2,X2) )
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f9613,f7956]) ).

fof(f9613,plain,
    ( ! [X2,X3,X0,X1] :
        ( midp(X0,X1,X1)
        | ~ midp(X0,X2,X2)
        | ~ cyclic(X1,X1,X2,X3) )
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f9607,f1990]) ).

fof(f9607,plain,
    ! [X2,X3,X0,X1] :
      ( midp(X0,X1,X1)
      | ~ midp(X0,X2,X2)
      | ~ para(X3,X1,X3,X1)
      | ~ cyclic(X1,X1,X2,X3) ),
    inference(resolution,[],[f840,f1180]) ).

fof(f1180,plain,
    ! [X2,X3,X0,X1] :
      ( para(X3,X1,X3,X2)
      | ~ para(X0,X1,X0,X2)
      | ~ cyclic(X1,X2,X3,X0) ),
    inference(resolution,[],[f480,f387]) ).

fof(f480,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ para(X4,X5,X6,X7)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f310,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f309]) ).

fof(f309,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( para(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f74]) ).

fof(f74,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( para(X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f840,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X1)
      | midp(X3,X1,X1)
      | ~ midp(X3,X0,X2) ),
    inference(factoring,[],[f423]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | midp(X4,X2,X3)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f237,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f236]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    inference(rectify,[],[f65]) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X6,X0,X1) )
     => midp(X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16945,plain,
    ( ~ midp(sK3,sK7,sK7)
    | spl38_529 ),
    inference(avatar_component_clause,[],[f16943]) ).

fof(f16943,plain,
    ( spl38_529
  <=> midp(sK3,sK7,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_529])]) ).

fof(f17084,plain,
    ( ~ spl38_529
    | ~ spl38_154
    | spl38_525 ),
    inference(avatar_split_clause,[],[f17076,f16895,f9019,f16943]) ).

fof(f16895,plain,
    ( spl38_525
  <=> cong(sK7,sK7,sK7,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_525])]) ).

fof(f17076,plain,
    ( ~ midp(sK3,sK7,sK7)
    | ~ spl38_154
    | spl38_525 ),
    inference(resolution,[],[f16930,f9020]) ).

fof(f16930,plain,
    ( ~ cong(sK7,sK7,sK3,sK7)
    | spl38_525 ),
    inference(resolution,[],[f16897,f393]) ).

fof(f16897,plain,
    ( ~ cong(sK7,sK7,sK7,sK3)
    | spl38_525 ),
    inference(avatar_component_clause,[],[f16895]) ).

fof(f16910,plain,
    ( ~ spl38_525
    | ~ spl38_526
    | ~ spl38_527
    | ~ spl38_528
    | spl38_7 ),
    inference(avatar_split_clause,[],[f16893,f639,f16907,f16903,f16899,f16895]) ).

fof(f639,plain,
    ( spl38_7
  <=> cong(sK7,sK3,sK6,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_7])]) ).

fof(f16893,plain,
    ( ~ cong(sK3,sK3,sK6,sK3)
    | ~ cyclic(sK7,sK3,sK7,sK7)
    | ~ cyclic(sK7,sK3,sK7,sK3)
    | ~ cong(sK7,sK7,sK7,sK3)
    | spl38_7 ),
    inference(resolution,[],[f16822,f1611]) ).

fof(f1611,plain,
    ! [X0,X1] :
      ( cong(X0,X1,X1,X1)
      | ~ cyclic(X0,X1,X0,X0)
      | ~ cyclic(X0,X1,X0,X1)
      | ~ cong(X0,X0,X0,X1) ),
    inference(duplicate_literal_removal,[],[f1597]) ).

fof(f1597,plain,
    ! [X0,X1] :
      ( cong(X0,X1,X1,X1)
      | ~ cyclic(X0,X1,X0,X0)
      | ~ cyclic(X0,X1,X0,X1)
      | ~ cyclic(X0,X1,X0,X1)
      | ~ cong(X0,X0,X0,X1) ),
    inference(resolution,[],[f452,f379]) ).

fof(f379,plain,
    ! [X2,X0,X1] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0,X1,X2] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( cong(X2,X0,X2,X1)
     => eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X0,X1,X7] :
      ( cong(X7,X0,X7,X1)
     => eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16822,plain,
    ( ! [X0,X1] :
        ( ~ cong(sK7,sK3,X0,X1)
        | ~ cong(X0,X1,sK6,sK3) )
    | spl38_7 ),
    inference(resolution,[],[f641,f456]) ).

fof(f456,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(flattening,[],[f283]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cong(X2,X3,X4,X5)
        & cong(X0,X1,X2,X3) )
     => cong(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f641,plain,
    ( ~ cong(sK7,sK3,sK6,sK3)
    | spl38_7 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f16809,plain,
    ( ~ spl38_27
    | ~ spl38_154
    | spl38_516 ),
    inference(avatar_contradiction_clause,[],[f16808]) ).

fof(f16808,plain,
    ( $false
    | ~ spl38_27
    | ~ spl38_154
    | spl38_516 ),
    inference(subsumption_resolution,[],[f16800,f1516]) ).

fof(f1516,plain,
    ( midp(sK6,sK4,sK4)
    | ~ spl38_27 ),
    inference(avatar_component_clause,[],[f1515]) ).

fof(f1515,plain,
    ( spl38_27
  <=> midp(sK6,sK4,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_27])]) ).

fof(f16800,plain,
    ( ~ midp(sK6,sK4,sK4)
    | ~ spl38_154
    | spl38_516 ),
    inference(resolution,[],[f16241,f9020]) ).

fof(f16241,plain,
    ( ~ cong(sK4,sK4,sK6,sK4)
    | spl38_516 ),
    inference(avatar_component_clause,[],[f16239]) ).

fof(f16239,plain,
    ( spl38_516
  <=> cong(sK4,sK4,sK6,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_516])]) ).

fof(f16758,plain,
    ( ~ spl38_31
    | spl38_515 ),
    inference(avatar_contradiction_clause,[],[f16757]) ).

fof(f16757,plain,
    ( $false
    | ~ spl38_31
    | spl38_515 ),
    inference(subsumption_resolution,[],[f16746,f7956]) ).

fof(f16746,plain,
    ( ~ cyclic(sK7,sK7,sK4,sK7)
    | spl38_515 ),
    inference(resolution,[],[f16237,f386]) ).

fof(f16237,plain,
    ( ~ cyclic(sK7,sK4,sK7,sK7)
    | spl38_515 ),
    inference(avatar_component_clause,[],[f16235]) ).

fof(f16235,plain,
    ( spl38_515
  <=> cyclic(sK7,sK4,sK7,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_515])]) ).

fof(f16727,plain,
    ( ~ spl38_31
    | spl38_514 ),
    inference(avatar_contradiction_clause,[],[f16726]) ).

fof(f16726,plain,
    ( $false
    | ~ spl38_31
    | spl38_514 ),
    inference(subsumption_resolution,[],[f16718,f7956]) ).

fof(f16718,plain,
    ( ~ cyclic(sK7,sK7,sK4,sK4)
    | spl38_514 ),
    inference(resolution,[],[f16233,f386]) ).

fof(f16233,plain,
    ( ~ cyclic(sK7,sK4,sK7,sK4)
    | spl38_514 ),
    inference(avatar_component_clause,[],[f16231]) ).

fof(f16231,plain,
    ( spl38_514
  <=> cyclic(sK7,sK4,sK7,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_514])]) ).

fof(f16690,plain,
    ( ~ spl38_14
    | ~ spl38_154
    | spl38_513 ),
    inference(avatar_contradiction_clause,[],[f16689]) ).

fof(f16689,plain,
    ( $false
    | ~ spl38_14
    | ~ spl38_154
    | spl38_513 ),
    inference(subsumption_resolution,[],[f16681,f905]) ).

fof(f905,plain,
    ( midp(sK4,sK7,sK7)
    | ~ spl38_14 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f904,plain,
    ( spl38_14
  <=> midp(sK4,sK7,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).

fof(f16681,plain,
    ( ~ midp(sK4,sK7,sK7)
    | ~ spl38_154
    | spl38_513 ),
    inference(resolution,[],[f16244,f9020]) ).

fof(f16244,plain,
    ( ~ cong(sK7,sK7,sK4,sK7)
    | spl38_513 ),
    inference(resolution,[],[f16229,f393]) ).

fof(f16229,plain,
    ( ~ cong(sK7,sK7,sK7,sK4)
    | spl38_513 ),
    inference(avatar_component_clause,[],[f16227]) ).

fof(f16227,plain,
    ( spl38_513
  <=> cong(sK7,sK7,sK7,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_513])]) ).

fof(f16242,plain,
    ( ~ spl38_513
    | ~ spl38_514
    | ~ spl38_515
    | ~ spl38_516
    | spl38_8 ),
    inference(avatar_split_clause,[],[f16225,f643,f16239,f16235,f16231,f16227]) ).

fof(f643,plain,
    ( spl38_8
  <=> cong(sK7,sK4,sK6,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_8])]) ).

fof(f16225,plain,
    ( ~ cong(sK4,sK4,sK6,sK4)
    | ~ cyclic(sK7,sK4,sK7,sK7)
    | ~ cyclic(sK7,sK4,sK7,sK4)
    | ~ cong(sK7,sK7,sK7,sK4)
    | spl38_8 ),
    inference(resolution,[],[f6009,f1611]) ).

fof(f6009,plain,
    ( ! [X0,X1] :
        ( ~ cong(sK7,sK4,X0,X1)
        | ~ cong(X0,X1,sK6,sK4) )
    | spl38_8 ),
    inference(resolution,[],[f645,f456]) ).

fof(f645,plain,
    ( ~ cong(sK7,sK4,sK6,sK4)
    | spl38_8 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f15569,plain,
    ( ~ spl38_31
    | ~ spl38_153 ),
    inference(avatar_contradiction_clause,[],[f15568]) ).

fof(f15568,plain,
    ( $false
    | ~ spl38_31
    | ~ spl38_153 ),
    inference(subsumption_resolution,[],[f15567,f7956]) ).

fof(f15567,plain,
    ( ! [X0,X1] : ~ cyclic(X0,X0,X1,X0)
    | ~ spl38_31
    | ~ spl38_153 ),
    inference(subsumption_resolution,[],[f15566,f7956]) ).

fof(f15566,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | ~ cyclic(X0,X0,X1,X0) )
    | ~ spl38_31
    | ~ spl38_153 ),
    inference(subsumption_resolution,[],[f15557,f10763]) ).

fof(f15557,plain,
    ( ! [X2,X0,X1] :
        ( ~ midp(X0,X0,X0)
        | ~ cyclic(X0,X0,X1,X2)
        | ~ cyclic(X0,X0,X1,X0) )
    | ~ spl38_153 ),
    inference(duplicate_literal_removal,[],[f15545]) ).

fof(f15545,plain,
    ( ! [X2,X0,X1] :
        ( ~ midp(X0,X0,X0)
        | ~ cyclic(X0,X0,X1,X2)
        | ~ cyclic(X0,X0,X1,X0)
        | ~ cyclic(X0,X0,X1,X0) )
    | ~ spl38_153 ),
    inference(resolution,[],[f9017,f1610]) ).

fof(f9017,plain,
    ( ! [X3,X4,X5] :
        ( ~ cong(X3,X4,X5,X3)
        | ~ midp(X5,X3,X4) )
    | ~ spl38_153 ),
    inference(avatar_component_clause,[],[f9016]) ).

fof(f9016,plain,
    ( spl38_153
  <=> ! [X4,X5,X3] :
        ( ~ cong(X3,X4,X5,X3)
        | ~ midp(X5,X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_153])]) ).

fof(f11057,plain,
    ( spl38_27
    | ~ spl38_31 ),
    inference(avatar_contradiction_clause,[],[f11056]) ).

fof(f11056,plain,
    ( $false
    | spl38_27
    | ~ spl38_31 ),
    inference(resolution,[],[f2700,f10763]) ).

fof(f2700,plain,
    ( ! [X0] : ~ midp(sK6,X0,X0)
    | spl38_27
    | ~ spl38_31 ),
    inference(resolution,[],[f2693,f1517]) ).

fof(f1517,plain,
    ( ~ midp(sK6,sK4,sK4)
    | spl38_27 ),
    inference(avatar_component_clause,[],[f1515]) ).

fof(f2693,plain,
    ( ! [X2,X0,X1] :
        ( midp(X0,X1,X1)
        | ~ midp(X0,X2,X2) )
    | ~ spl38_31 ),
    inference(subsumption_resolution,[],[f2687,f1990]) ).

fof(f2687,plain,
    ( ! [X2,X0,X1] :
        ( midp(X0,X1,X1)
        | ~ para(X2,X1,X2,X1)
        | ~ midp(X0,X2,X2) )
    | ~ spl38_31 ),
    inference(resolution,[],[f423,f1990]) ).

fof(f10773,plain,
    ( spl38_14
    | ~ spl38_31 ),
    inference(avatar_contradiction_clause,[],[f10770]) ).

fof(f10770,plain,
    ( $false
    | spl38_14
    | ~ spl38_31 ),
    inference(resolution,[],[f10763,f2698]) ).

fof(f2698,plain,
    ( ! [X0] : ~ midp(sK4,X0,X0)
    | spl38_14
    | ~ spl38_31 ),
    inference(resolution,[],[f2693,f906]) ).

fof(f906,plain,
    ( ~ midp(sK4,sK7,sK7)
    | spl38_14 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f10772,plain,
    ( spl38_19
    | ~ spl38_31 ),
    inference(avatar_contradiction_clause,[],[f10771]) ).

fof(f10771,plain,
    ( $false
    | spl38_19
    | ~ spl38_31 ),
    inference(resolution,[],[f10763,f2699]) ).

fof(f2699,plain,
    ( ! [X0] : ~ midp(sK6,X0,X0)
    | spl38_19
    | ~ spl38_31 ),
    inference(resolution,[],[f2693,f1069]) ).

fof(f1069,plain,
    ( ~ midp(sK6,sK3,sK3)
    | spl38_19 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f9035,plain,
    ( spl38_153
    | spl38_154 ),
    inference(avatar_split_clause,[],[f6659,f9019,f9016]) ).

fof(f6659,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X2,X0)
      | ~ cong(X3,X4,X5,X3)
      | ~ midp(X5,X3,X4)
      | ~ midp(X2,X0,X1) ),
    inference(resolution,[],[f1147,f451]) ).

fof(f451,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f273]) ).

fof(f273,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( midp(X5,X2,X3)
        & midp(X4,X0,X1) )
     => eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
    inference(rectify,[],[f71]) ).

fof(f71,axiom,
    ! [X0,X1,X2,X3,X6,X16] :
      ( ( midp(X16,X2,X3)
        & midp(X6,X0,X1) )
     => eqratio(X6,X0,X0,X1,X16,X2,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1147,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqratio(X6,X7,X4,X5,X2,X3,X0,X1)
      | cong(X4,X5,X6,X7)
      | ~ cong(X0,X1,X2,X3) ),
    inference(resolution,[],[f479,f471]) ).

fof(f471,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqratio(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f299]) ).

fof(f299,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqratio(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f479,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ cong(X4,X5,X6,X7)
      | cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f308]) ).

fof(f308,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f307]) ).

fof(f307,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( cong(X4,X5,X6,X7)
        & eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
     => cong(X0,X1,X2,X3) ),
    inference(rectify,[],[f76]) ).

fof(f76,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( cong(X8,X9,X10,X11)
        & eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
     => cong(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3521,plain,
    ( ~ spl38_7
    | ~ spl38_8 ),
    inference(avatar_split_clause,[],[f2472,f643,f639]) ).

fof(f2472,plain,
    ( ~ cong(sK7,sK4,sK6,sK4)
    | ~ cong(sK7,sK3,sK6,sK3) ),
    inference(resolution,[],[f401,f372]) ).

fof(f372,plain,
    ~ perp(sK7,sK6,sK3,sK4),
    inference(cnf_transformation,[],[f322]) ).

fof(f322,plain,
    ( ~ perp(sK7,sK6,sK3,sK4)
    & coll(sK7,sK6,sK1)
    & circle(sK1,sK6,sK7,sK17)
    & circle(sK1,sK2,sK6,sK16)
    & coll(sK6,sK3,sK5)
    & circle(sK1,sK2,sK5,sK15)
    & circle(sK0,sK2,sK5,sK14)
    & coll(sK4,sK3,sK0)
    & circle(sK0,sK3,sK4,sK13)
    & circle(sK0,sK2,sK3,sK12)
    & circle(sK1,sK2,sK10,sK11)
    & circle(sK0,sK2,sK8,sK9)
    & perp(sK2,sK0,sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17])],[f169,f321]) ).

fof(f321,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
        ( ~ perp(X7,X6,X3,X4)
        & coll(X7,X6,X1)
        & circle(X1,X6,X7,X17)
        & circle(X1,X2,X6,X16)
        & coll(X6,X3,X5)
        & circle(X1,X2,X5,X15)
        & circle(X0,X2,X5,X14)
        & coll(X4,X3,X0)
        & circle(X0,X3,X4,X13)
        & circle(X0,X2,X3,X12)
        & circle(X1,X2,X10,X11)
        & circle(X0,X2,X8,X9)
        & perp(X2,X0,X2,X1) )
   => ( ~ perp(sK7,sK6,sK3,sK4)
      & coll(sK7,sK6,sK1)
      & circle(sK1,sK6,sK7,sK17)
      & circle(sK1,sK2,sK6,sK16)
      & coll(sK6,sK3,sK5)
      & circle(sK1,sK2,sK5,sK15)
      & circle(sK0,sK2,sK5,sK14)
      & coll(sK4,sK3,sK0)
      & circle(sK0,sK3,sK4,sK13)
      & circle(sK0,sK2,sK3,sK12)
      & circle(sK1,sK2,sK10,sK11)
      & circle(sK0,sK2,sK8,sK9)
      & perp(sK2,sK0,sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ perp(X7,X6,X3,X4)
      & coll(X7,X6,X1)
      & circle(X1,X6,X7,X17)
      & circle(X1,X2,X6,X16)
      & coll(X6,X3,X5)
      & circle(X1,X2,X5,X15)
      & circle(X0,X2,X5,X14)
      & coll(X4,X3,X0)
      & circle(X0,X3,X4,X13)
      & circle(X0,X2,X3,X12)
      & circle(X1,X2,X10,X11)
      & circle(X0,X2,X8,X9)
      & perp(X2,X0,X2,X1) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ perp(X7,X6,X3,X4)
      & coll(X7,X6,X1)
      & circle(X1,X6,X7,X17)
      & circle(X1,X2,X6,X16)
      & coll(X6,X3,X5)
      & circle(X1,X2,X5,X15)
      & circle(X0,X2,X5,X14)
      & coll(X4,X3,X0)
      & circle(X0,X3,X4,X13)
      & circle(X0,X2,X3,X12)
      & circle(X1,X2,X10,X11)
      & circle(X0,X2,X8,X9)
      & perp(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
        ( ( coll(X7,X6,X1)
          & circle(X1,X6,X7,X17)
          & circle(X1,X2,X6,X16)
          & coll(X6,X3,X5)
          & circle(X1,X2,X5,X15)
          & circle(X0,X2,X5,X14)
          & coll(X4,X3,X0)
          & circle(X0,X3,X4,X13)
          & circle(X0,X2,X3,X12)
          & circle(X1,X2,X10,X11)
          & circle(X0,X2,X8,X9)
          & perp(X2,X0,X2,X1) )
       => perp(X7,X6,X3,X4) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X8,X3,X4,X18,X5,X12,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
        ( ( coll(X12,X5,X1)
          & circle(X1,X5,X12,X28)
          & circle(X1,X8,X5,X27)
          & coll(X5,X3,X18)
          & circle(X1,X8,X18,X26)
          & circle(X0,X8,X18,X25)
          & coll(X4,X3,X0)
          & circle(X0,X3,X4,X24)
          & circle(X0,X8,X3,X23)
          & circle(X1,X8,X21,X22)
          & circle(X0,X8,X19,X20)
          & perp(X8,X0,X8,X1) )
       => perp(X12,X5,X3,X4) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X8,X3,X4,X18,X5,X12,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
      ( ( coll(X12,X5,X1)
        & circle(X1,X5,X12,X28)
        & circle(X1,X8,X5,X27)
        & coll(X5,X3,X18)
        & circle(X1,X8,X18,X26)
        & circle(X0,X8,X18,X25)
        & coll(X4,X3,X0)
        & circle(X0,X3,X4,X24)
        & circle(X0,X8,X3,X23)
        & circle(X1,X8,X21,X22)
        & circle(X0,X8,X19,X20)
        & perp(X8,X0,X8,X1) )
     => perp(X12,X5,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f401,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2131,plain,
    ~ spl38_30,
    inference(avatar_contradiction_clause,[],[f2128]) ).

fof(f2128,plain,
    ( $false
    | ~ spl38_30 ),
    inference(subsumption_resolution,[],[f360,f2001]) ).

fof(f2001,plain,
    ( ! [X2,X3,X0,X1] : ~ perp(X2,X3,X0,X1)
    | ~ spl38_30 ),
    inference(subsumption_resolution,[],[f1994,f391]) ).

fof(f391,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1994,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ perp(X0,X1,X2,X3)
        | ~ perp(X2,X3,X0,X1) )
    | ~ spl38_30 ),
    inference(resolution,[],[f1987,f455]) ).

fof(f455,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f281]) ).

fof(f281,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1987,plain,
    ( ! [X2,X3] : ~ para(X2,X3,X2,X3)
    | ~ spl38_30 ),
    inference(avatar_component_clause,[],[f1986]) ).

fof(f1986,plain,
    ( spl38_30
  <=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl38_30])]) ).

fof(f360,plain,
    perp(sK2,sK0,sK2,sK1),
    inference(cnf_transformation,[],[f322]) ).

fof(f1991,plain,
    ( spl38_30
    | spl38_31 ),
    inference(avatar_split_clause,[],[f1978,f1989,f1986]) ).

fof(f1978,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X0,X1)
      | ~ para(X2,X3,X2,X3) ),
    inference(resolution,[],[f914,f440]) ).

fof(f914,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | para(X2,X3,X4,X5) ),
    inference(resolution,[],[f475,f450]) ).

fof(f450,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f475,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GEO606+1 : TPTP v8.2.0. Released v7.5.0.
% 0.00/0.09  % Command    : run_vampire %s %d THM
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Fri Jun 21 08:17:08 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.13/0.29  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.29  Running first-order theorem proving
% 0.13/0.29  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.34  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.34  % (32155)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.15/0.34  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.34  % (32154)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.15/0.35  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35  % (32156)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.15/0.35  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35  % (32158)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.15/0.35  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35  % (32157)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.15/0.35  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35  % (32159)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.15/0.35  % (32157)Refutation not found, incomplete strategy% (32157)------------------------------
% 0.15/0.35  % (32157)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.35  % (32157)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.35  % (32157)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.35  
% 0.15/0.35  % (32157)Memory used [KB]: 1259
% 0.15/0.35  % (32157)Time elapsed: 0.003 s
% 0.15/0.35  % (32157)Instructions burned: 5 (million)
% 0.15/0.35  % (32157)------------------------------
% 0.15/0.35  % (32157)------------------------------
% 0.15/0.35  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35  % (32153)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.15/0.39  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (32160)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2999ds/126Mi)
% 0.15/0.39  % (32159)Instruction limit reached!
% 0.15/0.39  % (32159)------------------------------
% 0.15/0.39  % (32159)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.39  % (32159)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.39  % (32159)Termination reason: Time limit
% 0.15/0.39  % (32159)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (32159)Memory used [KB]: 1943
% 0.15/0.39  % (32159)Time elapsed: 0.040 s
% 0.15/0.39  % (32159)Instructions burned: 124 (million)
% 0.15/0.39  % (32158)Instruction limit reached!
% 0.15/0.39  % (32158)------------------------------
% 0.15/0.39  % (32158)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.39  % (32158)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.39  % (32158)Termination reason: Time limit
% 0.15/0.39  % (32158)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (32158)Memory used [KB]: 2962
% 0.15/0.39  % (32158)Time elapsed: 0.047 s
% 0.15/0.39  % (32158)Instructions burned: 133 (million)
% 0.15/0.42  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.42  % (32161)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2999ds/145Mi)
% 0.15/0.43  % (32160)Instruction limit reached!
% 0.15/0.43  % (32160)------------------------------
% 0.15/0.43  % (32160)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.43  % (32160)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.43  % (32160)Termination reason: Time limit
% 0.15/0.43  % (32160)Termination phase: Saturation
% 0.15/0.43  
% 0.15/0.43  % (32160)Memory used [KB]: 2363
% 0.15/0.43  % (32160)Time elapsed: 0.041 s
% 0.15/0.43  % (32160)Instructions burned: 126 (million)
% 0.15/0.43  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43  % (32162)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2999ds/173Mi)
% 0.15/0.45  % (32161)Instruction limit reached!
% 0.15/0.45  % (32161)------------------------------
% 0.15/0.45  % (32161)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.45  % (32161)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.45  % (32161)Termination reason: Time limit
% 0.15/0.45  % (32161)Termination phase: Saturation
% 0.15/0.45  
% 0.15/0.45  % (32161)Memory used [KB]: 1628
% 0.15/0.45  % (32161)Time elapsed: 0.033 s
% 0.15/0.45  % (32161)Instructions burned: 150 (million)
% 0.15/0.46  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.46  % (32163)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2998ds/226Mi)
% 0.15/0.48  % (32162)Instruction limit reached!
% 0.15/0.48  % (32162)------------------------------
% 0.15/0.48  % (32162)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.48  % (32162)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.48  % (32162)Termination reason: Time limit
% 0.15/0.48  % (32162)Termination phase: Saturation
% 0.15/0.48  
% 0.15/0.48  % (32162)Memory used [KB]: 3649
% 0.15/0.48  % (32162)Time elapsed: 0.056 s
% 0.15/0.48  % (32162)Instructions burned: 174 (million)
% 0.15/0.49  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.49  % (32164)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/247Mi)
% 0.15/0.52  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.52  % (32165)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2998ds/230Mi)
% 0.15/0.53  % (32163)Instruction limit reached!
% 0.15/0.53  % (32163)------------------------------
% 0.15/0.53  % (32163)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.53  % (32163)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.53  % (32163)Termination reason: Time limit
% 0.15/0.53  % (32163)Termination phase: Saturation
% 0.15/0.53  
% 0.15/0.53  % (32163)Memory used [KB]: 3717
% 0.15/0.53  % (32163)Time elapsed: 0.076 s
% 0.15/0.53  % (32163)Instructions burned: 227 (million)
% 0.15/0.57  % (32164)Instruction limit reached!
% 0.15/0.57  % (32164)------------------------------
% 0.15/0.57  % (32164)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.57  % (32164)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.57  % (32164)Termination reason: Time limit
% 0.15/0.57  % (32164)Termination phase: Saturation
% 0.15/0.57  
% 0.15/0.57  % (32164)Memory used [KB]: 2978
% 0.15/0.57  % (32164)Time elapsed: 0.083 s
% 0.15/0.57  % (32164)Instructions burned: 249 (million)
% 0.15/0.57  % (32152)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.57  % (32166)dis-1010_76381:524288_drc=off:sil=4000:irw=on:sp=frequency:lma=on:spb=goal:rnwc=on:gs=on:nwc=13.9901:s2agt=10:kmz=on:updr=off:sac=on:newcnf=on:gsem=on:cond=fast:s2a=on:i=231:s2at=6:kws=inv_frequency:awrs=converge:awrsf=968:bd=off:nm=10:rawr=on:sfv=off:alpa=random_0 on theBenchmark for (2997ds/231Mi)
% 0.15/0.59  % (32165)Instruction limit reached!
% 0.15/0.59  % (32165)------------------------------
% 0.15/0.59  % (32165)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.59  % (32165)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.59  % (32165)Termination reason: Time limit
% 0.15/0.59  % (32165)Termination phase: Saturation
% 0.15/0.59  
% 0.15/0.59  % (32165)Memory used [KB]: 3820
% 0.15/0.59  % (32165)Time elapsed: 0.072 s
% 0.15/0.59  % (32165)Instructions burned: 230 (million)
% 2.12/0.60  % (32152)Running in auto input_syntax mode. Trying TPTP
% 2.12/0.60  % (32167)lrs+1011_1:1_sil=8000:nicw=on:i=532:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2997ds/532Mi)
% 2.28/0.64  % (32152)Running in auto input_syntax mode. Trying TPTP
% 2.28/0.64  % (32168)dis-1010_1:2_bsr=unit_only:sil=32000:tgt=full:i=1280:nm=16:bd=off_0 on theBenchmark for (2997ds/1280Mi)
% 2.28/0.65  % (32166)Instruction limit reached!
% 2.28/0.65  % (32166)------------------------------
% 2.28/0.65  % (32166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.28/0.65  % (32166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.28/0.65  % (32166)Termination reason: Time limit
% 2.28/0.65  % (32166)Termination phase: Saturation
% 2.28/0.65  
% 2.28/0.65  % (32166)Memory used [KB]: 3191
% 2.28/0.65  % (32166)Time elapsed: 0.079 s
% 2.28/0.65  % (32166)Instructions burned: 234 (million)
% 2.28/0.68  % (32152)Running in auto input_syntax mode. Trying TPTP
% 2.28/0.68  % (32169)dis+1011_1:16_sil=2000:plsq=on:sos=on:st=3.0:i=134:sd=1:av=off:ss=axioms:lsd=10:plsql=on_0 on theBenchmark for (2996ds/134Mi)
% 2.75/0.72  % (32169)Instruction limit reached!
% 2.75/0.72  % (32169)------------------------------
% 2.75/0.72  % (32169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.72  % (32169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.72  % (32169)Termination reason: Time limit
% 2.75/0.72  % (32169)Termination phase: Saturation
% 2.75/0.72  
% 2.75/0.72  % (32169)Memory used [KB]: 1774
% 2.75/0.72  % (32169)Time elapsed: 0.040 s
% 2.75/0.72  % (32169)Instructions burned: 136 (million)
% 2.75/0.75  % (32152)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.75  % (32170)dis-1010_8:1_sil=64000:sp=occurrence:sos=on:st=2.0:i=135:sd=3:bd=off:ss=axioms:acc=model:to=lpo:sup=off:fs=off:fsr=off:sgt=32_0 on theBenchmark for (2995ds/135Mi)
% 2.75/0.77  % (32167)Instruction limit reached!
% 2.75/0.77  % (32167)------------------------------
% 2.75/0.77  % (32167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.77  % (32167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.77  % (32167)Termination reason: Time limit
% 2.75/0.77  % (32167)Termination phase: Saturation
% 2.75/0.77  
% 2.75/0.77  % (32167)Memory used [KB]: 3650
% 2.75/0.77  % (32167)Time elapsed: 0.165 s
% 2.75/0.77  % (32167)Instructions burned: 532 (million)
% 3.19/0.80  % (32170)Instruction limit reached!
% 3.19/0.80  % (32170)------------------------------
% 3.19/0.80  % (32170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.19/0.80  % (32170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.19/0.80  % (32170)Termination reason: Time limit
% 3.19/0.80  % (32170)Termination phase: Saturation
% 3.19/0.80  
% 3.19/0.80  % (32170)Memory used [KB]: 2860
% 3.19/0.80  % (32170)Time elapsed: 0.048 s
% 3.19/0.80  % (32170)Instructions burned: 136 (million)
% 3.19/0.80  % (32152)Running in auto input_syntax mode. Trying TPTP
% 3.19/0.80  % (32171)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=139:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/139Mi)
% 3.19/0.84  % (32152)Running in auto input_syntax mode. Trying TPTP
% 3.19/0.84  % (32172)ott+1011_1:3_drc=encompass:sil=256000:bsd=on:sp=occurrence:sos=on:newcnf=on:i=160:afp=1:aac=none:amm=off:afq=3.64962_0 on theBenchmark for (2995ds/160Mi)
% 3.19/0.84  % (32171)Instruction limit reached!
% 3.19/0.84  % (32171)------------------------------
% 3.19/0.84  % (32171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.19/0.84  % (32171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.19/0.84  % (32171)Termination reason: Time limit
% 3.19/0.84  % (32171)Termination phase: Saturation
% 3.19/0.84  
% 3.19/0.84  % (32171)Memory used [KB]: 2303
% 3.19/0.84  % (32171)Time elapsed: 0.039 s
% 3.19/0.84  % (32171)Instructions burned: 141 (million)
% 3.70/0.87  % (32152)Running in auto input_syntax mode. Trying TPTP
% 3.70/0.87  % (32173)dis-1002_1:1_to=lpo:drc=encompass:sil=2000:sp=const_max:nwc=10.0:s2a=on:i=194:s2at=2.0:afp=10:ins=16:afq=1.4:aac=none:rawr=on:fsr=off:alpa=true_0 on theBenchmark for (2994ds/194Mi)
% 3.74/0.89  % (32172)Instruction limit reached!
% 3.74/0.89  % (32172)------------------------------
% 3.74/0.89  % (32172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/0.89  % (32172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/0.89  % (32172)Termination reason: Time limit
% 3.74/0.89  % (32172)Termination phase: Saturation
% 3.74/0.89  
% 3.74/0.89  % (32172)Memory used [KB]: 2790
% 3.74/0.89  % (32172)Time elapsed: 0.074 s
% 3.74/0.89  % (32172)Instructions burned: 161 (million)
% 3.93/0.92  % (32152)Running in auto input_syntax mode. Trying TPTP
% 3.93/0.92  % (32174)lrs-1010_529157:524288_drc=off:sil=4000:fde=none:sp=occurrence:sos=on:lma=on:abs=on:rnwc=on:nwc=23.317:i=385:sd=12:bd=off:nm=27:ins=3:amm=off:ss=axioms:nicw=on_0 on theBenchmark for (2994ds/385Mi)
% 3.97/0.94  % (32173)Instruction limit reached!
% 3.97/0.94  % (32173)------------------------------
% 3.97/0.94  % (32173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.97/0.94  % (32173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.97/0.94  % (32173)Termination reason: Time limit
% 3.97/0.94  % (32173)Termination phase: Saturation
% 3.97/0.94  
% 3.97/0.94  % (32173)Memory used [KB]: 3168
% 3.97/0.94  % (32173)Time elapsed: 0.085 s
% 3.97/0.94  % (32173)Instructions burned: 194 (million)
% 3.97/0.97  % (32152)Running in auto input_syntax mode. Trying TPTP
% 3.97/0.97  % (32175)dis+1011_11:1_sil=2000:avsq=on:i=293:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2993ds/293Mi)
% 4.40/1.03  % (32174)Instruction limit reached!
% 4.40/1.03  % (32174)------------------------------
% 4.40/1.03  % (32174)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.40/1.03  % (32174)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.40/1.03  % (32174)Termination reason: Time limit
% 4.40/1.03  % (32174)Termination phase: Saturation
% 4.40/1.03  
% 4.40/1.03  % (32174)Memory used [KB]: 3269
% 4.40/1.03  % (32174)Time elapsed: 0.134 s
% 4.40/1.03  % (32174)Instructions burned: 387 (million)
% 4.40/1.04  % (32168)First to succeed.
% 4.40/1.04  % (32168)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32152"
% 4.40/1.04  % (32152)Running in auto input_syntax mode. Trying TPTP
% 4.40/1.04  % (32168)Refutation found. Thanks to Tanya!
% 4.40/1.04  % SZS status Theorem for theBenchmark
% 4.40/1.04  % SZS output start Proof for theBenchmark
% See solution above
% 4.40/1.04  % (32168)------------------------------
% 4.40/1.04  % (32168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.40/1.04  % (32168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.40/1.04  % (32168)Termination reason: Refutation
% 4.40/1.04  
% 4.40/1.04  % (32168)Memory used [KB]: 5646
% 4.40/1.04  % (32168)Time elapsed: 0.397 s
% 4.40/1.04  % (32168)Instructions burned: 1105 (million)
% 4.40/1.04  % (32168)------------------------------
% 4.40/1.04  % (32168)------------------------------
% 4.40/1.04  % (32152)Success in time 0.726 s
%------------------------------------------------------------------------------