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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO286+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:52:20 AM UTC 2026

% Result   : Theorem 4.26s 1.58s
% Output   : Refutation 5.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  102 (  31 unt;   4 def)
%            Number of atoms       :  626 (  67 equ)
%            Maximal formula atoms :   18 (   6 avg)
%            Number of connectives :  958 ( 434   ~; 474   |;  44   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   5 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-4 aty)
%            Number of variables   :  189 (   0 sgn 184   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [X0] :
      ( rR(X0,vd1123,vd1125)
      & ron(X0,vd1152)
      & ron(X0,vd1151)
      & rpoint(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(261)') ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
        ( rR(X0,vd1123,vd1125)
        & ron(X0,vd1152)
        & ron(X0,vd1151)
        & rpoint(X0) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ~ ron(vd1125,vd1152),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(260)))') ).

fof(f4,axiom,
    ~ rinside(vd1125,vd1152),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(260))') ).

fof(f5,axiom,
    ( ron(vd1127,vd1152)
    & rcenter(vd1123,vd1152)
    & rcircle(vd1152)
    & ron(vd1125,vd1151)
    & ron(vd1123,vd1151) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))') ).

fof(f6,axiom,
    vd1123 = vd1129,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(258, 1150, 0)') ).

fof(f7,axiom,
    ( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
    & vd1127 != vd1129
    & vd1123 != vd1125
    & vd1129 = vd1130
    & rpoint(vd1130)
    & vd1127 = vd1128
    & rpoint(vd1128)
    & vd1125 = vd1126
    & rpoint(vd1126)
    & vd1123 = vd1124
    & rpoint(vd1124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).

fof(f12,axiom,
    rline(vd1151),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(259, 0)') ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ron(X6,X2)
        & ~ ron(X6,X0)
        & ~ rinside(X6,X0)
        & X6 = X7
        & rpoint(X7)
        & ron(X4,X2)
        & rinside(X4,X0)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rline(X3)
        & X0 = X1
        & rcircle(X1) )
     => ? [X8] :
          ( rR(X8,X4,X6)
          & ron(X8,X0)
          & ron(X8,X2)
          & rpoint(X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).

fof(f84,axiom,
    ! [X0,X1] :
      ( rcenter(X0,X1)
     => rinside(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).

fof(f141,plain,
    ! [X0] :
      ( ~ rR(X0,vd1123,vd1125)
      | ~ ron(X0,vd1152)
      | ~ ron(X0,vd1151)
      | ~ rpoint(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ? [X8] :
          ( rR(X8,X4,X6)
          & ron(X8,X0)
          & ron(X8,X2)
          & rpoint(X8) )
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ? [X8] :
          ( rR(X8,X4,X6)
          & ron(X8,X0)
          & ron(X8,X2)
          & rpoint(X8) )
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(flattening,[],[f160]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( rinside(X0,X1)
      | ~ rcenter(X0,X1) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f379,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rR(sK3(X0,X2,X4,X6),X4,X6)
        & ron(sK3(X0,X2,X4,X6),X0)
        & ron(sK3(X0,X2,X4,X6),X2)
        & rpoint(sK3(X0,X2,X4,X6)) )
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X8,sK3(X0,X2,X4,X6))],[f161]) ).

fof(f442,plain,
    ! [X0] :
      ( ~ rR(X0,vd1123,vd1125)
      | ~ ron(X0,vd1152)
      | ~ ron(X0,vd1151)
      | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f443,plain,
    ~ ron(vd1125,vd1152),
    inference(cnf_transformation,[],[f3]) ).

fof(f444,plain,
    ~ rinside(vd1125,vd1152),
    inference(cnf_transformation,[],[f4]) ).

fof(f445,plain,
    ron(vd1123,vd1151),
    inference(cnf_transformation,[],[f5]) ).

fof(f446,plain,
    ron(vd1125,vd1151),
    inference(cnf_transformation,[],[f5]) ).

fof(f447,plain,
    rcircle(vd1152),
    inference(cnf_transformation,[],[f5]) ).

fof(f448,plain,
    rcenter(vd1123,vd1152),
    inference(cnf_transformation,[],[f5]) ).

fof(f450,plain,
    vd1123 = vd1129,
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f7]) ).

fof(f454,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f7]) ).

fof(f457,plain,
    rpoint(vd1130),
    inference(cnf_transformation,[],[f7]) ).

fof(f458,plain,
    vd1129 = vd1130,
    inference(cnf_transformation,[],[f7]) ).

fof(f468,plain,
    rline(vd1151),
    inference(cnf_transformation,[],[f12]) ).

fof(f482,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rpoint(sK3(X0,X2,X4,X6))
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f379]) ).

fof(f483,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(sK3(X0,X2,X4,X6),X2)
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f379]) ).

fof(f484,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(sK3(X0,X2,X4,X6),X0)
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f379]) ).

fof(f485,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rR(sK3(X0,X2,X4,X6),X4,X6)
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f379]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( rinside(X0,X1)
      | ~ rcenter(X0,X1) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f734,plain,
    vd1123 = vd1130,
    inference(definition_unfolding,[],[f450,f458]) ).

fof(f735,plain,
    ! [X0] :
      ( ~ rR(X0,vd1130,vd1126)
      | ~ ron(X0,vd1152)
      | ~ ron(X0,vd1151)
      | ~ rpoint(X0) ),
    inference(definition_unfolding,[],[f442,f734,f454]) ).

fof(f736,plain,
    ~ ron(vd1126,vd1152),
    inference(definition_unfolding,[],[f443,f454]) ).

fof(f737,plain,
    ~ rinside(vd1126,vd1152),
    inference(definition_unfolding,[],[f444,f454]) ).

fof(f739,plain,
    rcenter(vd1130,vd1152),
    inference(definition_unfolding,[],[f448,f734]) ).

fof(f740,plain,
    ron(vd1126,vd1151),
    inference(definition_unfolding,[],[f446,f454]) ).

fof(f741,plain,
    ron(vd1130,vd1151),
    inference(definition_unfolding,[],[f445,f734]) ).

fof(f825,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( rR(sK3(X0,X2,X4,X7),X4,X7)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f485]) ).

fof(f826,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( rR(sK3(X0,X2,X5,X7),X5,X7)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f825]) ).

fof(f827,plain,
    ! [X3,X0,X1,X7,X5] :
      ( rR(sK3(X0,X3,X5,X7),X5,X7)
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f826]) ).

fof(f828,plain,
    ! [X3,X1,X7,X5] :
      ( rR(sK3(X1,X3,X5,X7),X5,X7)
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f827]) ).

fof(f829,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(sK3(X0,X2,X4,X7),X0)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f484]) ).

fof(f830,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(sK3(X0,X2,X5,X7),X0)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f829]) ).

fof(f831,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(sK3(X0,X3,X5,X7),X0)
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f830]) ).

fof(f832,plain,
    ! [X3,X1,X7,X5] :
      ( ron(sK3(X1,X3,X5,X7),X1)
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f831]) ).

fof(f833,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(sK3(X0,X2,X4,X7),X2)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f483]) ).

fof(f834,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(sK3(X0,X2,X5,X7),X2)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f833]) ).

fof(f835,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(sK3(X0,X3,X5,X7),X3)
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f834]) ).

fof(f836,plain,
    ! [X3,X1,X7,X5] :
      ( ron(sK3(X1,X3,X5,X7),X3)
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f835]) ).

fof(f837,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( rpoint(sK3(X0,X2,X4,X7))
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f482]) ).

fof(f838,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( rpoint(sK3(X0,X2,X5,X7))
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f837]) ).

fof(f839,plain,
    ! [X3,X0,X1,X7,X5] :
      ( rpoint(sK3(X0,X3,X5,X7))
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f838]) ).

fof(f840,plain,
    ! [X3,X1,X7,X5] :
      ( rpoint(sK3(X1,X3,X5,X7))
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f839]) ).

fof(f2090,definition,
    ( spl132_1
  <=> ! [X0] :
        ( ~ rR(X0,vd1130,vd1126)
        | ~ ron(X0,vd1152)
        | ~ ron(X0,vd1151)
        | ~ rpoint(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl132_1])],[avatar_definition]) ).

fof(f2091,plain,
    ( ! [X0] :
        ( ~ rR(X0,vd1130,vd1126)
        | ~ ron(X0,vd1152)
        | ~ ron(X0,vd1151)
        | ~ rpoint(X0) )
    | ~ spl132_1 ),
    inference(avatar_component_clause,[],[f2090]) ).

fof(f2092,plain,
    spl132_1,
    inference(avatar_split_clause,[],[f735,f2090]) ).

fof(f2106,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK3(X0,X1,vd1130,vd1126),vd1152)
        | ~ ron(sK3(X0,X1,vd1130,vd1126),vd1151)
        | ~ rpoint(sK3(X0,X1,vd1130,vd1126))
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rpoint(vd1126)
        | ~ ron(vd1130,X1)
        | ~ rinside(vd1130,X0)
        | ~ rpoint(vd1130)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(resolution,[],[f2091,f828]) ).

fof(f2125,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK3(X0,X1,vd1130,vd1126),vd1152)
        | ~ ron(sK3(X0,X1,vd1130,vd1126),vd1151)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rpoint(vd1126)
        | ~ ron(vd1130,X1)
        | ~ rinside(vd1130,X0)
        | ~ rpoint(vd1130)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(forward_subsumption_resolution,[],[f2106,f840]) ).

fof(f2141,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK3(X0,X1,vd1130,vd1126),vd1152)
        | ~ ron(sK3(X0,X1,vd1130,vd1126),vd1151)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1130,X1)
        | ~ rinside(vd1130,X0)
        | ~ rpoint(vd1130)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(forward_subsumption_resolution,[],[f2125,f453]) ).

fof(f2155,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK3(X0,X1,vd1130,vd1126),vd1152)
        | ~ ron(sK3(X0,X1,vd1130,vd1126),vd1151)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1130,X1)
        | ~ rinside(vd1130,X0)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(forward_subsumption_resolution,[],[f2141,f457]) ).

fof(f2229,definition,
    ( spl132_3
  <=> ! [X0,X1] :
        ( ~ ron(sK3(X0,X1,vd1130,vd1126),vd1152)
        | ~ ron(sK3(X0,X1,vd1130,vd1126),vd1151)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1130,X1)
        | ~ rinside(vd1130,X0)
        | ~ rline(X1)
        | ~ rcircle(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl132_3])],[avatar_definition]) ).

fof(f2230,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK3(X0,X1,vd1130,vd1126),vd1151)
        | ~ ron(sK3(X0,X1,vd1130,vd1126),vd1152)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1130,X1)
        | ~ rinside(vd1130,X0)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_3 ),
    inference(avatar_component_clause,[],[f2229]) ).

fof(f2231,plain,
    ( spl132_3
    | ~ spl132_1 ),
    inference(avatar_split_clause,[],[f2155,f2090,f2229]) ).

fof(f2233,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ~ ron(vd1126,vd1151)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1130,vd1151)
        | ~ rinside(vd1130,X0)
        | ~ rline(vd1151)
        | ~ rcircle(X0)
        | ~ ron(vd1126,vd1151)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rpoint(vd1126)
        | ~ ron(vd1130,vd1151)
        | ~ rinside(vd1130,X0)
        | ~ rpoint(vd1130)
        | ~ rline(vd1151)
        | ~ rcircle(X0) )
    | ~ spl132_3 ),
    inference(resolution,[],[f2230,f836]) ).

fof(f2311,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ~ ron(vd1126,vd1151)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1130,vd1151)
        | ~ rinside(vd1130,X0)
        | ~ rline(vd1151)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1130) )
    | ~ spl132_3 ),
    inference(duplicate_literal_removal,[],[f2233]) ).

fof(f2381,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1130,vd1151)
        | ~ rinside(vd1130,X0)
        | ~ rline(vd1151)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1130) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2311,f740]) ).

fof(f2382,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1130,X0)
        | ~ rline(vd1151)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1130) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2381,f741]) ).

fof(f2383,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1130,X0)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1130) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2382,f468]) ).

fof(f2384,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1130,X0)
        | ~ rcircle(X0)
        | ~ rpoint(vd1130) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2383,f453]) ).

fof(f2385,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1130,X0)
        | ~ rcircle(X0) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2384,f457]) ).

fof(f2387,definition,
    ( spl132_4
  <=> ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1130,X0)
        | ~ rcircle(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl132_4])],[avatar_definition]) ).

fof(f2388,plain,
    ( ! [X0] :
        ( ~ ron(sK3(X0,vd1151,vd1130,vd1126),vd1152)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1130,X0)
        | ~ rcircle(X0) )
    | ~ spl132_4 ),
    inference(avatar_component_clause,[],[f2387]) ).

fof(f2389,plain,
    ( spl132_4
    | ~ spl132_3 ),
    inference(avatar_split_clause,[],[f2385,f2229,f2387]) ).

fof(f2390,plain,
    ( ron(vd1126,vd1152)
    | rinside(vd1126,vd1152)
    | ~ rinside(vd1130,vd1152)
    | ~ rcircle(vd1152)
    | ~ ron(vd1126,vd1151)
    | ron(vd1126,vd1152)
    | rinside(vd1126,vd1152)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rinside(vd1130,vd1152)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ rcircle(vd1152)
    | ~ spl132_4 ),
    inference(resolution,[],[f2388,f832]) ).

fof(f2468,plain,
    ( ron(vd1126,vd1152)
    | rinside(vd1126,vd1152)
    | ~ rinside(vd1130,vd1152)
    | ~ rcircle(vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(duplicate_literal_removal,[],[f2390]) ).

fof(f2473,plain,
    ( rinside(vd1126,vd1152)
    | ~ rinside(vd1130,vd1152)
    | ~ rcircle(vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2468,f736]) ).

fof(f2474,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ rcircle(vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2473,f737]) ).

fof(f2475,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2474,f447]) ).

fof(f2476,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2475,f740]) ).

fof(f2477,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2476,f453]) ).

fof(f2478,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2477,f741]) ).

fof(f2479,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ rline(vd1151)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2478,f457]) ).

fof(f2480,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2479,f468]) ).

fof(f2482,definition,
    ( spl132_5
  <=> rinside(vd1130,vd1152) ),
    introduced(definition,[new_symbols(definition,[spl132_5])],[avatar_definition]) ).

fof(f2484,plain,
    ( ~ rinside(vd1130,vd1152)
    | spl132_5 ),
    inference(avatar_component_clause,[],[f2482]) ).

fof(f2485,plain,
    ( ~ spl132_5
    | ~ spl132_4 ),
    inference(avatar_split_clause,[],[f2480,f2387,f2482]) ).

fof(f2486,plain,
    ( ~ rcenter(vd1130,vd1152)
    | spl132_5 ),
    inference(resolution,[],[f2484,f584]) ).

fof(f2517,plain,
    ( $false
    | spl132_5 ),
    inference(forward_subsumption_resolution,[],[f2486,f739]) ).

fof(f2518,plain,
    spl132_5,
    inference(avatar_contradiction_clause,[],[f2517]) ).

cnf(s1,plain,
    spl132_1,
    inference(sat_conversion,[],[f2092]) ).

cnf(s3,plain,
    ( ~ spl132_1
    | spl132_3 ),
    inference(sat_conversion,[],[f2231]) ).

cnf(s4,plain,
    ( ~ spl132_3
    | spl132_4 ),
    inference(sat_conversion,[],[f2389]) ).

cnf(s5,plain,
    ( ~ spl132_4
    | ~ spl132_5 ),
    inference(sat_conversion,[],[f2485]) ).

cnf(s6,plain,
    spl132_5,
    inference(sat_conversion,[],[f2518]) ).

cnf(s7,plain,
    ~ spl132_4,
    inference(rat,[],[s5,s6]) ).

cnf(s8,plain,
    ~ spl132_3,
    inference(rat,[],[s4,s7]) ).

cnf(s9,plain,
    ~ spl132_1,
    inference(rat,[],[s3,s8]) ).

cnf(s10,plain,
    $false,
    inference(rat,[],[s1,s9]) ).

fof(f2531,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO286+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 08:01:38 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.26/1.58  % (2008725)Detected formulas, will run a generic FOF schedule.
% 4.26/1.58  % (2008732)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1084537827:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.26/1.58  % (2008734)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1259451538:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.26/1.58  % (2008730)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=892596232:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.26/1.58  % (2008733)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=922016863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.26/1.58  % (2008731)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3240847533:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.26/1.58  % (2008736)dis-21_1_sil=8000:lcm=predicate:random_seed=619052112:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.26/1.58  % (2008735)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4117851455:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.26/1.58  % (2008733)Refutation not found, incomplete strategy
% 4.26/1.58  % (2008733)------------------------------
% 4.26/1.58  % (2008733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008733)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008733)Termination reason: Refutation not found, incomplete strategy
% 4.26/1.58  % (2008733)Time elapsed: 0.006 s
% 4.26/1.58  % (2008733)Peak memory usage: 89 MB
% 4.26/1.58  % (2008733)Instructions burned: 8 (million)
% 4.26/1.58  % (2008736)Instruction limit reached! 
% 4.26/1.58  % (2008736)------------------------------
% 4.26/1.58  % (2008736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008736)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008736)Termination reason: Instruction limit
% 4.26/1.58  % (2008736)Termination phase: Saturation
% 4.26/1.58  % (2008736)Time elapsed: 0.061 s
% 4.26/1.58  % (2008736)Peak memory usage: 90 MB
% 4.26/1.58  % (2008736)Instructions burned: 131 (million)
% 4.26/1.58  % (2008734)Instruction limit reached! 
% 4.26/1.58  % (2008734)------------------------------
% 4.26/1.58  % (2008734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008734)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008734)Termination reason: Instruction limit
% 4.26/1.58  % (2008734)Termination phase: Saturation
% 4.26/1.58  % (2008734)Time elapsed: 0.066 s
% 4.26/1.58  % (2008734)Peak memory usage: 89 MB
% 4.26/1.58  % (2008734)Instructions burned: 120 (million)
% 4.26/1.58  % (2008735)Instruction limit reached! 
% 4.26/1.58  % (2008735)------------------------------
% 4.26/1.58  % (2008735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008735)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008735)Termination reason: Instruction limit
% 4.26/1.58  % (2008735)Termination phase: Saturation
% 4.26/1.58  % (2008735)Time elapsed: 0.087 s
% 4.26/1.58  % (2008735)Peak memory usage: 90 MB
% 4.26/1.58  % (2008735)Instructions burned: 140 (million)
% 4.26/1.58  % (2008744)lrs+10_1_sil=8000:sp=occurrence:random_seed=2476192673:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.26/1.58  % (2008745)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2452546442:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.26/1.58  % (2008745)Refutation not found, incomplete strategy
% 4.26/1.58  % (2008745)------------------------------
% 4.26/1.58  % (2008745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008745)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008745)Termination reason: Refutation not found, incomplete strategy
% 4.26/1.58  % (2008745)Time elapsed: 0.006 s
% 4.26/1.58  % (2008745)Peak memory usage: 89 MB
% 4.26/1.58  % (2008745)Instructions burned: 8 (million)
% 4.26/1.58  % (2008733)------------------------------
% 4.26/1.58  % (2008733)------------------------------
% 4.26/1.58  % (2008746)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2100969561:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.26/1.58  % (2008744)Instruction limit reached! 
% 4.26/1.58  % (2008744)------------------------------
% 4.26/1.58  % (2008744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008744)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008744)Termination reason: Instruction limit
% 4.26/1.58  % (2008744)Termination phase: Saturation
% 4.26/1.58  % (2008744)Time elapsed: 0.162 s
% 4.26/1.58  % (2008744)Peak memory usage: 92 MB
% 4.26/1.58  % (2008744)Instructions burned: 287 (million)
% 4.26/1.58  % (2008732)First to succeed.
% 4.26/1.58  % (2008732)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2008725"
% 4.26/1.58  % (2008750)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2734935131:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.26/1.58  % (2008746)Instruction limit reached! 
% 4.26/1.58  % (2008746)------------------------------
% 4.26/1.58  % (2008746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008746)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008746)Termination reason: Instruction limit
% 4.26/1.58  % (2008746)Termination phase: Saturation
% 4.26/1.58  % (2008746)Time elapsed: 0.181 s
% 4.26/1.58  % (2008746)Peak memory usage: 92 MB
% 4.26/1.58  % (2008746)Instructions burned: 326 (million)
% 4.26/1.58  % (2008745)------------------------------
% 4.26/1.58  % (2008745)------------------------------
% 4.26/1.58  % (2008751)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3352883392:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.26/1.58  % (2008750)Instruction limit reached! 
% 4.26/1.58  % (2008750)------------------------------
% 4.26/1.58  % (2008750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008750)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008750)Termination reason: Instruction limit
% 4.26/1.58  % (2008750)Termination phase: Saturation
% 4.26/1.58  % (2008750)Time elapsed: 0.119 s
% 4.26/1.58  % (2008750)Peak memory usage: 92 MB
% 4.26/1.58  % (2008750)Instructions burned: 249 (million)
% 4.26/1.58  % (2008751)Refutation not found, incomplete strategy
% 4.26/1.58  % (2008751)------------------------------
% 4.26/1.58  % (2008751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.58  % (2008751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.58  % (2008751)CaDiCaL version: 2.1.3
% 4.26/1.58  % (2008751)Termination reason: Refutation not found, incomplete strategy
% 4.26/1.58  % (2008751)Time elapsed: 0.015 s
% 4.26/1.58  % (2008751)Peak memory usage: 89 MB
% 4.26/1.58  % (2008751)Instructions burned: 24 (million)
% 4.26/1.58  % (2008732)Refutation found. Thanks to Tanya!
% 4.26/1.58  % SZS status Theorem for theBenchmark
% 4.26/1.58  % SZS output start Proof for theBenchmark
% See solution above
% 5.73/1.77  % (2008732)------------------------------
% 5.73/1.77  % (2008732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.77  % (2008732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.77  % (2008732)CaDiCaL version: 2.1.3
% 5.73/1.77  % (2008732)Termination reason: Refutation
% 5.73/1.77  % (2008732)Time elapsed: 0.446 s
% 5.73/1.77  % (2008732)Peak memory usage: 137 MB
% 5.73/1.77  % (2008732)Instructions burned: 1247 (million)
% 5.73/1.77  % (2008732)------------------------------
% 5.73/1.77  % (2008732)------------------------------
% 5.73/1.77  % (2008725)Success in time 0.739 s
% 5.73/1.77  % Vampire exiting
%------------------------------------------------------------------------------