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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 SAT

% Computer : n013.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 09:54:21 AM UTC 2026

% Result   : Theorem 11.27s 2.28s
% Output   : Refutation 11.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   79 (  25 unt;   0 def)
%            Number of atoms       :  536 (  67 equ)
%            Maximal formula atoms :   17 (   6 avg)
%            Number of connectives :  824 ( 367   ~; 411   |;  44   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-4 aty)
%            Number of variables   :  181 ( 176   !;   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(f361,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))],[f146]) ).

fof(f429,plain,
    ! [X0] :
      ( ~ rR(X0,vd1123,vd1125)
      | ~ ron(X0,vd1146)
      | ~ ron(X0,vd1145)
      | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f430,plain,
    ~ ron(vd1125,vd1146),
    inference(cnf_transformation,[],[f3]) ).

fof(f431,plain,
    ~ rinside(vd1125,vd1146),
    inference(cnf_transformation,[],[f4]) ).

fof(f432,plain,
    ron(vd1123,vd1145),
    inference(cnf_transformation,[],[f5]) ).

fof(f433,plain,
    ron(vd1125,vd1145),
    inference(cnf_transformation,[],[f5]) ).

fof(f434,plain,
    rcircle(vd1146),
    inference(cnf_transformation,[],[f5]) ).

fof(f435,plain,
    rcenter(vd1123,vd1146),
    inference(cnf_transformation,[],[f5]) ).

fof(f437,plain,
    vd1123 = vd1127,
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f7]) ).

fof(f441,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f7]) ).

fof(f442,plain,
    rpoint(vd1128),
    inference(cnf_transformation,[],[f7]) ).

fof(f443,plain,
    vd1127 = vd1128,
    inference(cnf_transformation,[],[f7]) ).

fof(f452,plain,
    rline(vd1145),
    inference(cnf_transformation,[],[f10]) ).

fof(f465,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,[],[f361]) ).

fof(f466,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,[],[f361]) ).

fof(f467,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,[],[f361]) ).

fof(f468,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,[],[f361]) ).

fof(f510,plain,
    ! [X0,X1] :
      ( ~ rcenter(X0,X1)
      | rinside(X0,X1) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f696,plain,
    vd1123 = vd1128,
    inference(definition_unfolding,[],[f437,f443]) ).

fof(f697,plain,
    ! [X0] :
      ( ~ rR(X0,vd1128,vd1126)
      | ~ ron(X0,vd1146)
      | ~ ron(X0,vd1145)
      | ~ rpoint(X0) ),
    inference(definition_unfolding,[],[f429,f696,f441]) ).

fof(f698,plain,
    ~ ron(vd1126,vd1146),
    inference(definition_unfolding,[],[f430,f441]) ).

fof(f699,plain,
    ~ rinside(vd1126,vd1146),
    inference(definition_unfolding,[],[f431,f441]) ).

fof(f701,plain,
    rcenter(vd1128,vd1146),
    inference(definition_unfolding,[],[f435,f696]) ).

fof(f702,plain,
    ron(vd1126,vd1145),
    inference(definition_unfolding,[],[f433,f441]) ).

fof(f703,plain,
    ron(vd1128,vd1145),
    inference(definition_unfolding,[],[f432,f696]) ).

fof(f767,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,[],[f468]) ).

fof(f768,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,[],[f767]) ).

fof(f769,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,[],[f768]) ).

fof(f770,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,[],[f769]) ).

fof(f771,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,[],[f467]) ).

fof(f772,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,[],[f771]) ).

fof(f773,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,[],[f772]) ).

fof(f774,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,[],[f773]) ).

fof(f775,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,[],[f466]) ).

fof(f776,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,[],[f775]) ).

fof(f777,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,[],[f776]) ).

fof(f778,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,[],[f777]) ).

fof(f779,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,[],[f465]) ).

fof(f780,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,[],[f779]) ).

fof(f781,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,[],[f780]) ).

fof(f782,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,[],[f781]) ).

fof(f1423,plain,
    rinside(vd1128,vd1146),
    inference(resolution,[],[f510,f701]) ).

fof(f4059,plain,
    ! [X0,X1] :
      ( ~ ron(vd1126,X0)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ rpoint(vd1126)
      | ~ ron(vd1128,X0)
      | ~ rinside(vd1128,X1)
      | ~ rpoint(vd1128)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK3(X1,X0,vd1128,vd1126),vd1146)
      | ~ ron(sK3(X1,X0,vd1128,vd1126),vd1145)
      | ~ rpoint(sK3(X1,X0,vd1128,vd1126)) ),
    inference(resolution,[],[f770,f697]) ).

fof(f4119,plain,
    ! [X0,X1] :
      ( ~ ron(vd1126,X0)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ rpoint(vd1126)
      | ~ ron(vd1128,X0)
      | ~ rinside(vd1128,X1)
      | ~ rpoint(vd1128)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK3(X1,X0,vd1128,vd1126),vd1146)
      | ~ ron(sK3(X1,X0,vd1128,vd1126),vd1145) ),
    inference(forward_subsumption_resolution,[],[f4059,f782]) ).

fof(f4120,plain,
    ! [X0,X1] :
      ( ~ ron(vd1126,X0)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ ron(vd1128,X0)
      | ~ rinside(vd1128,X1)
      | ~ rpoint(vd1128)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK3(X1,X0,vd1128,vd1126),vd1146)
      | ~ ron(sK3(X1,X0,vd1128,vd1126),vd1145) ),
    inference(forward_subsumption_resolution,[],[f4119,f440]) ).

fof(f4121,plain,
    ! [X0,X1] :
      ( ~ ron(sK3(X1,X0,vd1128,vd1126),vd1145)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ ron(vd1128,X0)
      | ~ rinside(vd1128,X1)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK3(X1,X0,vd1128,vd1126),vd1146)
      | ~ ron(vd1126,X0) ),
    inference(forward_subsumption_resolution,[],[f4120,f442]) ).

fof(f4123,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ ron(vd1128,vd1145)
      | ~ rinside(vd1128,X0)
      | ~ rline(vd1145)
      | ~ rcircle(X0)
      | ~ ron(sK3(X0,vd1145,vd1128,vd1126),vd1146)
      | ~ ron(vd1126,vd1145)
      | ~ ron(vd1126,vd1145)
      | ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rpoint(vd1126)
      | ~ ron(vd1128,vd1145)
      | ~ rinside(vd1128,X0)
      | ~ rpoint(vd1128)
      | ~ rline(vd1145)
      | ~ rcircle(X0) ),
    inference(resolution,[],[f4121,f778]) ).

fof(f4124,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ ron(vd1128,vd1145)
      | ~ rinside(vd1128,X0)
      | ~ rline(vd1145)
      | ~ rcircle(X0)
      | ~ ron(sK3(X0,vd1145,vd1128,vd1126),vd1146)
      | ~ ron(vd1126,vd1145)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1128) ),
    inference(duplicate_literal_removal,[],[f4123]) ).

fof(f4126,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1128,X0)
      | ~ rline(vd1145)
      | ~ rcircle(X0)
      | ~ ron(sK3(X0,vd1145,vd1128,vd1126),vd1146)
      | ~ ron(vd1126,vd1145)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1128) ),
    inference(forward_subsumption_resolution,[],[f4124,f703]) ).

fof(f4127,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1128,X0)
      | ~ rcircle(X0)
      | ~ ron(sK3(X0,vd1145,vd1128,vd1126),vd1146)
      | ~ ron(vd1126,vd1145)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1128) ),
    inference(forward_subsumption_resolution,[],[f4126,f452]) ).

fof(f4128,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1128,X0)
      | ~ rcircle(X0)
      | ~ ron(sK3(X0,vd1145,vd1128,vd1126),vd1146)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1128) ),
    inference(forward_subsumption_resolution,[],[f4127,f702]) ).

fof(f4129,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1128,X0)
      | ~ rcircle(X0)
      | ~ ron(sK3(X0,vd1145,vd1128,vd1126),vd1146)
      | ~ rpoint(vd1128) ),
    inference(forward_subsumption_resolution,[],[f4128,f440]) ).

fof(f4130,plain,
    ! [X0] :
      ( ~ ron(sK3(X0,vd1145,vd1128,vd1126),vd1146)
      | rinside(vd1126,X0)
      | ~ rinside(vd1128,X0)
      | ~ rcircle(X0)
      | ron(vd1126,X0) ),
    inference(forward_subsumption_resolution,[],[f4129,f442]) ).

fof(f4133,plain,
    ( rinside(vd1126,vd1146)
    | ~ rinside(vd1128,vd1146)
    | ~ rcircle(vd1146)
    | ron(vd1126,vd1146)
    | ~ ron(vd1126,vd1145)
    | ron(vd1126,vd1146)
    | rinside(vd1126,vd1146)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rinside(vd1128,vd1146)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145)
    | ~ rcircle(vd1146) ),
    inference(resolution,[],[f4130,f774]) ).

fof(f4134,plain,
    ( rinside(vd1126,vd1146)
    | ~ rinside(vd1128,vd1146)
    | ~ rcircle(vd1146)
    | ron(vd1126,vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(duplicate_literal_removal,[],[f4133]) ).

fof(f4135,plain,
    ( ~ rinside(vd1128,vd1146)
    | ~ rcircle(vd1146)
    | ron(vd1126,vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(forward_subsumption_resolution,[],[f4134,f699]) ).

fof(f4136,plain,
    ( ~ rcircle(vd1146)
    | ron(vd1126,vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(forward_subsumption_resolution,[],[f4135,f1423]) ).

fof(f4137,plain,
    ( ron(vd1126,vd1146)
    | ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(forward_subsumption_resolution,[],[f4136,f434]) ).

fof(f4138,plain,
    ( ~ ron(vd1126,vd1145)
    | ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(forward_subsumption_resolution,[],[f4137,f698]) ).

fof(f4139,plain,
    ( ~ rpoint(vd1126)
    | ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(forward_subsumption_resolution,[],[f4138,f702]) ).

fof(f4140,plain,
    ( ~ ron(vd1128,vd1145)
    | ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(forward_subsumption_resolution,[],[f4139,f440]) ).

fof(f4141,plain,
    ( ~ rpoint(vd1128)
    | ~ rline(vd1145) ),
    inference(forward_subsumption_resolution,[],[f4140,f703]) ).

fof(f4142,plain,
    ~ rline(vd1145),
    inference(forward_subsumption_resolution,[],[f4141,f442]) ).

fof(f4143,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4142,f452]) ).

%------------------------------------------------------------------------------
%----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 SAT
% 0.12/0.54  % Computer : n013.cluster.edu
% 0.12/0.54  % Model    : x86_64 x86_64
% 0.12/0.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.54  % Memory   : 8046.5625MB
% 0.12/0.54  % OS       : Linux 6.8.0-71-generic
% 0.12/0.54  % CPULimit : 300
% 0.12/0.54  % WCLimit  : 300
% 0.12/0.54  % DateTime : Sun Sep 27 07:58:37 UTC 2026
% 0.12/0.54  % CPUTime  : 
% 0.12/0.54  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.57  Running first-order model finding
% 0.16/0.57  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.51/1.58  % (4093602)Will run a generic schedule for satisfiability detection.
% 5.51/1.58  % (4093612)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2671553717:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.51/1.58  % (4093608)% WARNING: option uhcvi not known.
% 5.51/1.58  % (4093610)dis+10_1_sil=32000:sp=arity:random_seed=4153931480:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.51/1.58  % (4093607)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3807559505_2999 on theBenchmark for (2999ds/0Mi)
% 5.51/1.58  % (4093608)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4021816635:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.51/1.58  % (4093609)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=340540785:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.51/1.58  % (4093613)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4245058517:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.51/1.58  % (4093611)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1374752151:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.51/1.58  % (4093612)Instruction limit reached! 
% 5.51/1.58  % (4093612)------------------------------
% 5.51/1.58  % (4093612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.58  % (4093612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.58  % (4093612)CaDiCaL version: 2.1.3
% 5.51/1.58  % (4093612)Termination reason: Instruction limit
% 5.51/1.58  % (4093612)Termination phase: Saturation
% 5.51/1.58  % (4093612)Time elapsed: 0.036 s
% 5.51/1.58  % (4093612)Peak memory usage: 13 MB
% 5.51/1.58  % (4093612)Instructions burned: 135 (million)
% 5.51/1.58  % TRYING [1]
% 5.51/1.58  % TRYING [2]
% 5.51/1.58  % (4093621)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1506632906:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.51/1.58  % TRYING [1]
% 5.51/1.58  % (4093611)Instruction limit reached! 
% 5.51/1.58  % (4093611)------------------------------
% 5.51/1.58  % (4093611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.58  % (4093611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.58  % (4093611)CaDiCaL version: 2.1.3
% 5.51/1.58  % (4093611)Termination reason: Instruction limit
% 5.51/1.58  % (4093611)Termination phase: Saturation
% 5.51/1.58  % (4093611)Time elapsed: 0.057 s
% 5.51/1.58  % (4093611)Peak memory usage: 13 MB
% 5.51/1.58  % (4093611)Instructions burned: 117 (million)
% 5.51/1.58  % TRYING [2]
% 5.51/1.58  % (4093610)Instruction limit reached! 
% 5.51/1.58  % (4093610)------------------------------
% 5.51/1.58  % (4093610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.58  % (4093610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.58  % (4093610)CaDiCaL version: 2.1.3
% 5.51/1.58  % (4093610)Termination reason: Instruction limit
% 5.51/1.58  % (4093610)Termination phase: Saturation
% 5.51/1.58  % (4093610)Time elapsed: 0.059 s
% 5.51/1.58  % (4093610)Peak memory usage: 13 MB
% 5.51/1.58  % (4093610)Instructions burned: 103 (million)
% 5.51/1.58  % (4093623)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1234970415:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.51/1.58  % (4093624)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2995314063:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.51/1.58  % (4093613)Instruction limit reached! 
% 5.51/1.58  % (4093613)------------------------------
% 5.51/1.58  % (4093613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.58  % (4093613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.58  % (4093613)CaDiCaL version: 2.1.3
% 5.51/1.58  % (4093613)Termination reason: Instruction limit
% 5.51/1.58  % (4093613)Termination phase: Saturation
% 5.51/1.58  % (4093613)Time elapsed: 0.092 s
% 5.51/1.58  % (4093613)Peak memory usage: 15 MB
% 5.51/1.58  % (4093613)Instructions burned: 160 (million)
% 5.51/1.58  % (4093629)ott-21_1_sil=16000:fs=off:random_seed=2713559904:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.51/1.58  % (4093623)Instruction limit reached! 
% 5.51/1.58  % (4093623)------------------------------
% 5.51/1.58  % (4093623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.58  % (4093623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093623)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093623)Termination reason: Instruction limit
% 11.27/2.28  % (4093623)Termination phase: Saturation
% 11.27/2.28  % (4093623)Time elapsed: 0.055 s
% 11.27/2.28  % (4093623)Peak memory usage: 12 MB
% 11.27/2.28  % (4093623)Instructions burned: 131 (million)
% 11.27/2.28  % (4093641)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1467245731:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.27/2.28  % (4093621)Instruction limit reached! 
% 11.27/2.28  % (4093621)------------------------------
% 11.27/2.28  % (4093621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093621)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093621)Termination reason: Instruction limit
% 11.27/2.28  % (4093621)Termination phase: Finite model building constraint generation
% 11.27/2.28  % (4093621)Time elapsed: 0.134 s
% 11.27/2.28  % (4093621)Peak memory usage: 34 MB
% 11.27/2.28  % (4093621)Instructions burned: 715 (million)
% 11.27/2.28  % (4093652)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=517859673:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.27/2.28  % TRYING [1]
% 11.27/2.28  % (4093629)Instruction limit reached! 
% 11.27/2.28  % (4093629)------------------------------
% 11.27/2.28  % (4093629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093629)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093629)Termination reason: Instruction limit
% 11.27/2.28  % (4093629)Termination phase: Saturation
% 11.27/2.28  % (4093629)Time elapsed: 0.095 s
% 11.27/2.28  % (4093629)Peak memory usage: 14 MB
% 11.27/2.28  % (4093629)Instructions burned: 181 (million)
% 11.27/2.28  % (4093669)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2950215773:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.27/2.28  % (4093652)Instruction limit reached! 
% 11.27/2.28  % (4093652)------------------------------
% 11.27/2.28  % (4093652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093652)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093652)Termination reason: Instruction limit
% 11.27/2.28  % (4093652)Termination phase: Finite model building constraint generation
% 11.27/2.28  % (4093652)Time elapsed: 0.235 s
% 11.27/2.28  % (4093652)Peak memory usage: 105 MB
% 11.27/2.28  % (4093652)Instructions burned: 865 (million)
% 11.27/2.28  % (4093694)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2262977516:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.27/2.28  % (4093694)Cannot represent all propositional literals internally
% 11.27/2.28  % (4093694)Refutation not found, incomplete strategy
% 11.27/2.28  % (4093694)------------------------------
% 11.27/2.28  % (4093694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093694)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093694)Termination reason: Refutation not found, incomplete strategy
% 11.27/2.28  % (4093694)Time elapsed: 0.015 s
% 11.27/2.28  % (4093694)Peak memory usage: 12 MB
% 11.27/2.28  % (4093694)Instructions burned: 58 (million)
% 11.27/2.28  % (4093694)------------------------------
% 11.27/2.28  % (4093694)------------------------------
% 11.27/2.28  % (4093624)Instruction limit reached! 
% 11.27/2.28  % (4093624)------------------------------
% 11.27/2.28  % (4093624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093624)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093624)Termination reason: Instruction limit
% 11.27/2.28  % (4093624)Termination phase: Saturation
% 11.27/2.28  % (4093624)Time elapsed: 0.386 s
% 11.27/2.28  % (4093624)Peak memory usage: 22 MB
% 11.27/2.28  % (4093624)Instructions burned: 685 (million)
% 11.27/2.28  % (4093641)Instruction limit reached! 
% 11.27/2.28  % (4093641)------------------------------
% 11.27/2.28  % (4093641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093641)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093641)Termination reason: Instruction limit
% 11.27/2.28  % (4093641)Termination phase: Saturation
% 11.27/2.28  % (4093641)Time elapsed: 0.313 s
% 11.27/2.28  % (4093641)Peak memory usage: 15 MB
% 11.27/2.28  % (4093641)Instructions burned: 478 (million)
% 11.27/2.28  % (4093696)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1674796051:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 11.27/2.28  % (4093697)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1692538932:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.27/2.28  % (4093698)fmb+10_1_sil=64000:random_seed=2466519425:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 11.27/2.28  % TRYING [1]
% 11.27/2.28  % (4093696)Instruction limit reached! 
% 11.27/2.28  % (4093696)------------------------------
% 11.27/2.28  % (4093696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093696)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093696)Termination reason: Instruction limit
% 11.27/2.28  % (4093696)Termination phase: Saturation
% 11.27/2.28  % (4093696)Time elapsed: 0.208 s
% 11.27/2.28  % (4093696)Peak memory usage: 25 MB
% 11.27/2.28  % (4093696)Instructions burned: 692 (million)
% 11.27/2.28  % (4093702)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2881436844:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 11.27/2.28  % (4093702)Cannot represent all propositional literals internally
% 11.27/2.28  % (4093702)Refutation not found, incomplete strategy
% 11.27/2.28  % (4093702)------------------------------
% 11.27/2.28  % (4093702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093702)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093702)Termination reason: Refutation not found, incomplete strategy
% 11.27/2.28  % (4093702)Time elapsed: 0.015 s
% 11.27/2.28  % (4093702)Peak memory usage: 12 MB
% 11.27/2.28  % (4093702)Instructions burned: 58 (million)
% 11.27/2.28  % (4093702)------------------------------
% 11.27/2.28  % (4093702)------------------------------
% 11.27/2.28  % (4093704)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2007114353:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 11.27/2.28  % (4093704)Cannot represent all propositional literals internally
% 11.27/2.28  % (4093704)Refutation not found, incomplete strategy
% 11.27/2.28  % (4093704)------------------------------
% 11.27/2.28  % (4093704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093704)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093704)Termination reason: Refutation not found, incomplete strategy
% 11.27/2.28  % (4093704)Time elapsed: 0.015 s
% 11.27/2.28  % (4093704)Peak memory usage: 12 MB
% 11.27/2.28  % (4093704)Instructions burned: 58 (million)
% 11.27/2.28  % (4093704)------------------------------
% 11.27/2.28  % (4093704)------------------------------
% 11.27/2.28  % (4093706)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=203869135:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 11.27/2.28  % (4093669)Instruction limit reached! 
% 11.27/2.28  % (4093669)------------------------------
% 11.27/2.28  % (4093669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093669)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093669)Termination reason: Instruction limit
% 11.27/2.28  % (4093669)Termination phase: Saturation
% 11.27/2.28  % (4093669)Time elapsed: 0.632 s
% 11.27/2.28  % (4093669)Peak memory usage: 27 MB
% 11.27/2.28  % (4093669)Instructions burned: 1180 (million)
% 11.27/2.28  % (4093708)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4188349887:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 11.27/2.28  % TRYING [2]
% 11.27/2.28  % (4093697)Instruction limit reached! 
% 11.27/2.28  % (4093697)------------------------------
% 11.27/2.28  % (4093697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093697)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093697)Termination reason: Instruction limit
% 11.27/2.28  % (4093697)Termination phase: Saturation
% 11.27/2.28  % (4093697)Time elapsed: 0.470 s
% 11.27/2.28  % (4093697)Peak memory usage: 19 MB
% 11.27/2.28  % (4093697)Instructions burned: 879 (million)
% 11.27/2.28  % (4093710)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=176113627:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 11.27/2.28  % (4093710)Cannot represent all propositional literals internally
% 11.27/2.28  % (4093710)Refutation not found, incomplete strategy
% 11.27/2.28  % (4093710)------------------------------
% 11.27/2.28  % (4093710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093710)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093710)Termination reason: Refutation not found, incomplete strategy
% 11.27/2.28  % (4093710)Time elapsed: 0.036 s
% 11.27/2.28  % (4093710)Peak memory usage: 12 MB
% 11.27/2.28  % (4093710)Instructions burned: 76 (million)
% 11.27/2.28  % (4093710)------------------------------
% 11.27/2.28  % (4093710)------------------------------
% 11.27/2.28  % (4093712)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2795402415:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 11.27/2.28  % (4093712)Cannot represent all propositional literals internally
% 11.27/2.28  % (4093712)Refutation not found, incomplete strategy
% 11.27/2.28  % (4093712)------------------------------
% 11.27/2.28  % (4093712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093712)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093712)Termination reason: Refutation not found, incomplete strategy
% 11.27/2.28  % (4093712)Time elapsed: 0.028 s
% 11.27/2.28  % (4093712)Peak memory usage: 11 MB
% 11.27/2.28  % (4093712)Instructions burned: 59 (million)
% 11.27/2.28  % (4093712)------------------------------
% 11.27/2.28  % (4093712)------------------------------
% 11.27/2.28  % (4093714)ott-2_1_sil=16000:newcnf=on:random_seed=650556328:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 11.27/2.28  % (4093708)Instruction limit reached! 
% 11.27/2.28  % (4093708)------------------------------
% 11.27/2.28  % (4093708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093708)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093708)Termination reason: Instruction limit
% 11.27/2.28  % (4093708)Termination phase: Saturation
% 11.27/2.28  % (4093708)Time elapsed: 0.607 s
% 11.27/2.28  % (4093708)Peak memory usage: 16 MB
% 11.27/2.28  % (4093708)Instructions burned: 1473 (million)
% 11.27/2.28  % (4093714)Instruction limit reached! 
% 11.27/2.28  % (4093714)------------------------------
% 11.27/2.28  % (4093714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093714)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093714)Termination reason: Instruction limit
% 11.27/2.28  % (4093714)Termination phase: Saturation
% 11.27/2.28  % (4093714)Time elapsed: 0.409 s
% 11.27/2.28  % (4093714)Peak memory usage: 15 MB
% 11.27/2.28  % (4093714)Instructions burned: 871 (million)
% 11.27/2.28  % (4093716)ott+10_1_sil=32000:tgt=ground:random_seed=1986566330:i=5114:av=off_2984 on theBenchmark for (2984ds/5114Mi)
% 11.27/2.28  % (4093717)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=648252340:i=54282_2984 on theBenchmark for (2984ds/54282Mi)
% 11.27/2.28  % TRYING [1]
% 11.27/2.28  % TRYING [2]
% 11.27/2.28  % (4093716) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4093602-4093716"...
% 11.27/2.28  % (4093716)...printing done.
% 11.27/2.28  % (4093716)Refutation found. Thanks to Tanya!
% 11.27/2.28  % SZS status Theorem for theBenchmark
% 11.27/2.28  % SZS output start Proof for theBenchmark
% See solution above
% 11.27/2.28  % (4093716)------------------------------
% 11.27/2.28  % (4093716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.28  % (4093716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.28  % (4093716)CaDiCaL version: 2.1.3
% 11.27/2.28  % (4093716)Termination reason: Refutation
% 11.27/2.28  % (4093716)Time elapsed: 0.119 s
% 11.27/2.28  % (4093716)Peak memory usage: 15 MB
% 11.27/2.28  % (4093716)Instructions burned: 226 (million)
% 11.27/2.28  % (4093602)Success in time 1.696 s
% 11.27/2.28  % Vampire exiting
%------------------------------------------------------------------------------