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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO283+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 4.47s 1.59s
% Output   : Refutation 5.68s
% 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,vd1146)
      & ron(X0,vd1145)
      & rpoint(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(255)') ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
        ( rR(X0,vd1123,vd1125)
        & ron(X0,vd1146)
        & ron(X0,vd1145)
        & rpoint(X0) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ~ ron(vd1125,vd1146),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(254)))') ).

fof(f4,axiom,
    ~ rinside(vd1125,vd1146),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(254))') ).

fof(f5,axiom,
    ( ron(vd1129,vd1146)
    & rcenter(vd1123,vd1146)
    & rcircle(vd1146)
    & ron(vd1125,vd1145)
    & ron(vd1123,vd1145) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))') ).

fof(f6,axiom,
    vd1123 = vd1127,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(252, 1144, 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/sandbox/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(f10,axiom,
    rline(vd1145),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(253, 0)') ).

fof(f15,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).

fof(f38,axiom,
    ! [X0,X1] :
      ( rcenter(X0,X1)
     => rinside(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).

fof(f132,plain,
    ! [X0] :
      ( ~ rR(X0,vd1123,vd1125)
      | ~ ron(X0,vd1146)
      | ~ ron(X0,vd1145)
      | ~ rpoint(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f145,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,[],[f15]) ).

fof(f146,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,[],[f145]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( rinside(X0,X1)
      | ~ rcenter(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f359,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rR(sK2(X0,X2,X4,X6),X4,X6)
        & ron(sK2(X0,X2,X4,X6),X0)
        & ron(sK2(X0,X2,X4,X6),X2)
        & rpoint(sK2(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,[sK2]),skolemize(X8,sK2(X0,X2,X4,X6))],[f146]) ).

fof(f424,plain,
    ! [X0] :
      ( ~ rR(X0,vd1123,vd1125)
      | ~ ron(X0,vd1146)
      | ~ ron(X0,vd1145)
      | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f425,plain,
    ~ ron(vd1125,vd1146),
    inference(cnf_transformation,[],[f3]) ).

fof(f426,plain,
    ~ rinside(vd1125,vd1146),
    inference(cnf_transformation,[],[f4]) ).

fof(f427,plain,
    ron(vd1123,vd1145),
    inference(cnf_transformation,[],[f5]) ).

fof(f428,plain,
    ron(vd1125,vd1145),
    inference(cnf_transformation,[],[f5]) ).

fof(f429,plain,
    rcircle(vd1146),
    inference(cnf_transformation,[],[f5]) ).

fof(f430,plain,
    rcenter(vd1123,vd1146),
    inference(cnf_transformation,[],[f5]) ).

fof(f432,plain,
    vd1123 = vd1127,
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f7]) ).

fof(f436,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f7]) ).

fof(f437,plain,
    rpoint(vd1128),
    inference(cnf_transformation,[],[f7]) ).

fof(f438,plain,
    vd1127 = vd1128,
    inference(cnf_transformation,[],[f7]) ).

fof(f447,plain,
    rline(vd1145),
    inference(cnf_transformation,[],[f10]) ).

fof(f460,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rpoint(sK2(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,[],[f359]) ).

fof(f461,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(sK2(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,[],[f359]) ).

fof(f462,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(sK2(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,[],[f359]) ).

fof(f463,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rR(sK2(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,[],[f359]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( rinside(X0,X1)
      | ~ rcenter(X0,X1) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f703,plain,
    vd1123 = vd1128,
    inference(definition_unfolding,[],[f432,f438]) ).

fof(f704,plain,
    ! [X0] :
      ( ~ rR(X0,vd1128,vd1126)
      | ~ ron(X0,vd1146)
      | ~ ron(X0,vd1145)
      | ~ rpoint(X0) ),
    inference(definition_unfolding,[],[f424,f703,f436]) ).

fof(f705,plain,
    ~ ron(vd1126,vd1146),
    inference(definition_unfolding,[],[f425,f436]) ).

fof(f706,plain,
    ~ rinside(vd1126,vd1146),
    inference(definition_unfolding,[],[f426,f436]) ).

fof(f708,plain,
    rcenter(vd1128,vd1146),
    inference(definition_unfolding,[],[f430,f703]) ).

fof(f709,plain,
    ron(vd1126,vd1145),
    inference(definition_unfolding,[],[f428,f436]) ).

fof(f710,plain,
    ron(vd1128,vd1145),
    inference(definition_unfolding,[],[f427,f703]) ).

fof(f774,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( rR(sK2(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,[],[f463]) ).

fof(f775,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( rR(sK2(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,[],[f774]) ).

fof(f776,plain,
    ! [X3,X0,X1,X7,X5] :
      ( rR(sK2(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,[],[f775]) ).

fof(f777,plain,
    ! [X3,X1,X7,X5] :
      ( rR(sK2(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,[],[f776]) ).

fof(f778,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(sK2(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,[],[f462]) ).

fof(f779,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(sK2(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,[],[f778]) ).

fof(f780,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(sK2(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,[],[f779]) ).

fof(f781,plain,
    ! [X3,X1,X7,X5] :
      ( ron(sK2(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,[],[f780]) ).

fof(f782,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(sK2(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,[],[f461]) ).

fof(f783,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(sK2(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,[],[f782]) ).

fof(f784,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(sK2(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,[],[f783]) ).

fof(f785,plain,
    ! [X3,X1,X7,X5] :
      ( ron(sK2(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,[],[f784]) ).

fof(f786,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( rpoint(sK2(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,[],[f460]) ).

fof(f787,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( rpoint(sK2(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,[],[f786]) ).

fof(f788,plain,
    ! [X3,X0,X1,X7,X5] :
      ( rpoint(sK2(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,[],[f787]) ).

fof(f789,plain,
    ! [X3,X1,X7,X5] :
      ( rpoint(sK2(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,[],[f788]) ).

fof(f2046,definition,
    ( spl132_1
  <=> ! [X0] :
        ( ~ rR(X0,vd1128,vd1126)
        | ~ ron(X0,vd1146)
        | ~ ron(X0,vd1145)
        | ~ rpoint(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl132_1])],[avatar_definition]) ).

fof(f2047,plain,
    ( ! [X0] :
        ( ~ rR(X0,vd1128,vd1126)
        | ~ ron(X0,vd1146)
        | ~ ron(X0,vd1145)
        | ~ rpoint(X0) )
    | ~ spl132_1 ),
    inference(avatar_component_clause,[],[f2046]) ).

fof(f2048,plain,
    spl132_1,
    inference(avatar_split_clause,[],[f704,f2046]) ).

fof(f2061,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK2(X0,X1,vd1128,vd1126),vd1146)
        | ~ ron(sK2(X0,X1,vd1128,vd1126),vd1145)
        | ~ rpoint(sK2(X0,X1,vd1128,vd1126))
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rpoint(vd1126)
        | ~ ron(vd1128,X1)
        | ~ rinside(vd1128,X0)
        | ~ rpoint(vd1128)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(resolution,[],[f2047,f777]) ).

fof(f2080,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK2(X0,X1,vd1128,vd1126),vd1146)
        | ~ ron(sK2(X0,X1,vd1128,vd1126),vd1145)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rpoint(vd1126)
        | ~ ron(vd1128,X1)
        | ~ rinside(vd1128,X0)
        | ~ rpoint(vd1128)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(forward_subsumption_resolution,[],[f2061,f789]) ).

fof(f2096,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK2(X0,X1,vd1128,vd1126),vd1146)
        | ~ ron(sK2(X0,X1,vd1128,vd1126),vd1145)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1128,X1)
        | ~ rinside(vd1128,X0)
        | ~ rpoint(vd1128)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(forward_subsumption_resolution,[],[f2080,f435]) ).

fof(f2110,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK2(X0,X1,vd1128,vd1126),vd1146)
        | ~ ron(sK2(X0,X1,vd1128,vd1126),vd1145)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1128,X1)
        | ~ rinside(vd1128,X0)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_1 ),
    inference(forward_subsumption_resolution,[],[f2096,f437]) ).

fof(f2184,definition,
    ( spl132_3
  <=> ! [X0,X1] :
        ( ~ ron(sK2(X0,X1,vd1128,vd1126),vd1146)
        | ~ ron(sK2(X0,X1,vd1128,vd1126),vd1145)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1128,X1)
        | ~ rinside(vd1128,X0)
        | ~ rline(X1)
        | ~ rcircle(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl132_3])],[avatar_definition]) ).

fof(f2185,plain,
    ( ! [X0,X1] :
        ( ~ ron(sK2(X0,X1,vd1128,vd1126),vd1145)
        | ~ ron(sK2(X0,X1,vd1128,vd1126),vd1146)
        | ~ ron(vd1126,X1)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1128,X1)
        | ~ rinside(vd1128,X0)
        | ~ rline(X1)
        | ~ rcircle(X0) )
    | ~ spl132_3 ),
    inference(avatar_component_clause,[],[f2184]) ).

fof(f2186,plain,
    ( spl132_3
    | ~ spl132_1 ),
    inference(avatar_split_clause,[],[f2110,f2046,f2184]) ).

fof(f2188,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ~ ron(vd1126,vd1145)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1128,vd1145)
        | ~ rinside(vd1128,X0)
        | ~ rline(vd1145)
        | ~ rcircle(X0)
        | ~ ron(vd1126,vd1145)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rpoint(vd1126)
        | ~ ron(vd1128,vd1145)
        | ~ rinside(vd1128,X0)
        | ~ rpoint(vd1128)
        | ~ rline(vd1145)
        | ~ rcircle(X0) )
    | ~ spl132_3 ),
    inference(resolution,[],[f2185,f785]) ).

fof(f2266,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ~ ron(vd1126,vd1145)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1128,vd1145)
        | ~ rinside(vd1128,X0)
        | ~ rline(vd1145)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1128) )
    | ~ spl132_3 ),
    inference(duplicate_literal_removal,[],[f2188]) ).

fof(f2336,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ ron(vd1128,vd1145)
        | ~ rinside(vd1128,X0)
        | ~ rline(vd1145)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1128) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2266,f709]) ).

fof(f2337,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1128,X0)
        | ~ rline(vd1145)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1128) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2336,f710]) ).

fof(f2338,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1128,X0)
        | ~ rcircle(X0)
        | ~ rpoint(vd1126)
        | ~ rpoint(vd1128) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2337,f447]) ).

fof(f2339,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1128,X0)
        | ~ rcircle(X0)
        | ~ rpoint(vd1128) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2338,f435]) ).

fof(f2340,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1128,X0)
        | ~ rcircle(X0) )
    | ~ spl132_3 ),
    inference(forward_subsumption_resolution,[],[f2339,f437]) ).

fof(f2342,definition,
    ( spl132_4
  <=> ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1128,X0)
        | ~ rcircle(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl132_4])],[avatar_definition]) ).

fof(f2343,plain,
    ( ! [X0] :
        ( ~ ron(sK2(X0,vd1145,vd1128,vd1126),vd1146)
        | ron(vd1126,X0)
        | rinside(vd1126,X0)
        | ~ rinside(vd1128,X0)
        | ~ rcircle(X0) )
    | ~ spl132_4 ),
    inference(avatar_component_clause,[],[f2342]) ).

fof(f2344,plain,
    ( spl132_4
    | ~ spl132_3 ),
    inference(avatar_split_clause,[],[f2340,f2184,f2342]) ).

fof(f2345,plain,
    ( ron(vd1126,vd1146)
    | rinside(vd1126,vd1146)
    | ~ rinside(vd1128,vd1146)
    | ~ rcircle(vd1146)
    | ~ ron(vd1126,vd1145)
    | ron(vd1126,vd1146)
    | rinside(vd1126,vd1146)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rinside(vd1128,vd1146)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ rcircle(vd1146)
    | ~ spl132_4 ),
    inference(resolution,[],[f2343,f781]) ).

fof(f2423,plain,
    ( ron(vd1126,vd1146)
    | rinside(vd1126,vd1146)
    | ~ rinside(vd1128,vd1146)
    | ~ rcircle(vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(duplicate_literal_removal,[],[f2345]) ).

fof(f2428,plain,
    ( rinside(vd1126,vd1146)
    | ~ rinside(vd1128,vd1146)
    | ~ rcircle(vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2423,f705]) ).

fof(f2429,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ rcircle(vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2428,f706]) ).

fof(f2430,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2429,f429]) ).

fof(f2431,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2430,f709]) ).

fof(f2432,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2431,f435]) ).

fof(f2433,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2432,f710]) ).

fof(f2434,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ rline(vd1145)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2433,f437]) ).

fof(f2435,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ spl132_4 ),
    inference(forward_subsumption_resolution,[],[f2434,f447]) ).

fof(f2437,definition,
    ( spl132_5
  <=> rinside(vd1128,vd1146) ),
    introduced(definition,[new_symbols(definition,[spl132_5])],[avatar_definition]) ).

fof(f2439,plain,
    ( ~ rinside(vd1128,vd1146)
    | spl132_5 ),
    inference(avatar_component_clause,[],[f2437]) ).

fof(f2440,plain,
    ( ~ spl132_5
    | ~ spl132_4 ),
    inference(avatar_split_clause,[],[f2435,f2342,f2437]) ).

fof(f2441,plain,
    ( ~ rcenter(vd1128,vd1146)
    | spl132_5 ),
    inference(resolution,[],[f2439,f505]) ).

fof(f2472,plain,
    ( $false
    | spl132_5 ),
    inference(forward_subsumption_resolution,[],[f2441,f708]) ).

fof(f2473,plain,
    spl132_5,
    inference(avatar_contradiction_clause,[],[f2472]) ).

cnf(s1,plain,
    spl132_1,
    inference(sat_conversion,[],[f2048]) ).

cnf(s3,plain,
    ( ~ spl132_1
    | spl132_3 ),
    inference(sat_conversion,[],[f2186]) ).

cnf(s4,plain,
    ( ~ spl132_3
    | spl132_4 ),
    inference(sat_conversion,[],[f2344]) ).

cnf(s5,plain,
    ( ~ spl132_4
    | ~ spl132_5 ),
    inference(sat_conversion,[],[f2440]) ).

cnf(s6,plain,
    spl132_5,
    inference(sat_conversion,[],[f2473]) ).

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(f2486,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO283+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n017.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 07:54:35 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.47/1.59  % (2223911)Detected formulas, will run a generic FOF schedule.
% 4.47/1.59  % (2223918)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=1093981759:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.47/1.59  % (2223920)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=307095110:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.47/1.59  % (2223916)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=1396084153:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.47/1.59  % (2223919)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=294454560:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.47/1.59  % (2223922)dis-21_1_sil=8000:lcm=predicate:random_seed=3207082843: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)
% 4.47/1.59  % (2223917)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=1647163422:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.47/1.59  % (2223919)Refutation not found, incomplete strategy
% 4.47/1.59  % (2223919)------------------------------
% 4.47/1.59  % (2223919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223919)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223919)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.59  % (2223919)Time elapsed: 0.006 s
% 4.47/1.59  % (2223919)Peak memory usage: 89 MB
% 4.47/1.59  % (2223919)Instructions burned: 8 (million)
% 4.47/1.59  % (2223921)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=821023322:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.47/1.59  % (2223922)Instruction limit reached! 
% 4.47/1.59  % (2223922)------------------------------
% 4.47/1.59  % (2223922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223922)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223922)Termination reason: Instruction limit
% 4.47/1.59  % (2223922)Termination phase: Saturation
% 4.47/1.59  % (2223922)Time elapsed: 0.061 s
% 4.47/1.59  % (2223922)Peak memory usage: 90 MB
% 4.47/1.59  % (2223922)Instructions burned: 131 (million)
% 4.47/1.59  % (2223920)Instruction limit reached! 
% 4.47/1.59  % (2223920)------------------------------
% 4.47/1.59  % (2223920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223920)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223920)Termination reason: Instruction limit
% 4.47/1.59  % (2223920)Termination phase: Saturation
% 4.47/1.59  % (2223920)Time elapsed: 0.067 s
% 4.47/1.59  % (2223920)Peak memory usage: 89 MB
% 4.47/1.59  % (2223920)Instructions burned: 119 (million)
% 4.47/1.59  % (2223921)Instruction limit reached! 
% 4.47/1.59  % (2223921)------------------------------
% 4.47/1.59  % (2223921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223921)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223921)Termination reason: Instruction limit
% 4.47/1.59  % (2223921)Termination phase: Saturation
% 4.47/1.59  % (2223921)Time elapsed: 0.089 s
% 4.47/1.59  % (2223921)Peak memory usage: 90 MB
% 4.47/1.59  % (2223921)Instructions burned: 140 (million)
% 4.47/1.59  % (2223930)lrs+10_1_sil=8000:sp=occurrence:random_seed=411536213:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.47/1.59  % (2223931)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3975562616:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.47/1.59  % (2223931)Refutation not found, incomplete strategy
% 4.47/1.59  % (2223931)------------------------------
% 4.47/1.59  % (2223931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223931)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223931)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.59  % (2223931)Time elapsed: 0.006 s
% 4.47/1.59  % (2223931)Peak memory usage: 89 MB
% 4.47/1.59  % (2223931)Instructions burned: 8 (million)
% 4.47/1.59  % (2223932)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2202834542:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.47/1.59  % (2223919)------------------------------
% 4.47/1.59  % (2223919)------------------------------
% 4.47/1.59  % (2223930)Instruction limit reached! 
% 4.47/1.59  % (2223930)------------------------------
% 4.47/1.59  % (2223930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223930)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223930)Termination reason: Instruction limit
% 4.47/1.59  % (2223930)Termination phase: Saturation
% 4.47/1.59  % (2223930)Time elapsed: 0.163 s
% 4.47/1.59  % (2223930)Peak memory usage: 92 MB
% 4.47/1.59  % (2223930)Instructions burned: 285 (million)
% 4.47/1.59  % (2223936)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=1972098946:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.47/1.59  % (2223918)First to succeed.
% 4.47/1.59  % (2223918)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2223911"
% 4.47/1.59  % (2223932)Instruction limit reached! 
% 4.47/1.59  % (2223932)------------------------------
% 4.47/1.59  % (2223932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223932)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223932)Termination reason: Instruction limit
% 4.47/1.59  % (2223932)Termination phase: Saturation
% 4.47/1.59  % (2223932)Time elapsed: 0.176 s
% 4.47/1.59  % (2223932)Peak memory usage: 93 MB
% 4.47/1.59  % (2223932)Instructions burned: 326 (million)
% 4.47/1.59  % (2223931)------------------------------
% 4.47/1.59  % (2223931)------------------------------
% 4.47/1.59  % (2223937)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2003042190:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.47/1.59  % (2223937)Refutation not found, incomplete strategy
% 4.47/1.59  % (2223937)------------------------------
% 4.47/1.59  % (2223937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223937)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223937)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.59  % (2223937)Time elapsed: 0.014 s
% 4.47/1.59  % (2223937)Peak memory usage: 89 MB
% 4.47/1.59  % (2223937)Instructions burned: 24 (million)
% 4.47/1.59  % (2223936)Instruction limit reached! 
% 4.47/1.59  % (2223936)------------------------------
% 4.47/1.59  % (2223936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.59  % (2223936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.59  % (2223936)CaDiCaL version: 2.1.3
% 4.47/1.59  % (2223936)Termination reason: Instruction limit
% 4.47/1.59  % (2223936)Termination phase: Saturation
% 4.47/1.59  % (2223936)Time elapsed: 0.118 s
% 4.47/1.59  % (2223936)Peak memory usage: 92 MB
% 4.47/1.59  % (2223936)Instructions burned: 248 (million)
% 4.47/1.59  % (2223939)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3333744348:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.47/1.59  % (2223918)Refutation found. Thanks to Tanya!
% 4.47/1.59  % SZS status Theorem for theBenchmark
% 4.47/1.59  % SZS output start Proof for theBenchmark
% See solution above
% 5.68/1.78  % (2223918)------------------------------
% 5.68/1.78  % (2223918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.78  % (2223918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.78  % (2223918)CaDiCaL version: 2.1.3
% 5.68/1.78  % (2223918)Termination reason: Refutation
% 5.68/1.78  % (2223918)Time elapsed: 0.439 s
% 5.68/1.78  % (2223918)Peak memory usage: 136 MB
% 5.68/1.78  % (2223918)Instructions burned: 1245 (million)
% 5.68/1.78  % (2223918)------------------------------
% 5.68/1.78  % (2223918)------------------------------
% 5.68/1.78  % (2223911)Success in time 0.727 s
% 5.68/1.78  % Vampire exiting
%------------------------------------------------------------------------------